tag:blogger.com,1999:blog-10919795175677057612024-03-14T12:49:26.474-06:00Math = LoveHigh School Math Teacher. Oklahoma. 9th Year. Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.comBlogger1198125tag:blogger.com,1999:blog-1091979517567705761.post-53942330946051428722020-09-28T13:22:00.000-05:002020-09-28T13:22:03.142-05:00Monday Must Reads: Volume 66<div>It's Monday! For my school, that means it's a distance learning drill day. We are face-to-face Tuesday through Friday. Each Monday, we have a distance learning day to practice learning digitally in case we need to pivot to full-time distance learning. I don't know how those of you who are teaching virtually everyday are doing it. After six google meets in the span of three hours, I am exhausted. So kudos to those of you doing this everyday. I am in awe of you. You are amazing. </div><div><br /></div><div>I should really be planning lessons for the rest of this week, but I decided to take a bit of a break to scroll through my twitter favorites from the last twoish weeks. I hope you enjoy this new volume of Monday Must Reads. It's my weekly-ish attempt at capturing the amazing ideas shared by mostly math teachers with a few inspiring science teachers thrown in as well. I hope you find an idea worth using or adapting for your own classroom. </div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1bFV4MqOb3wboxr53AX09NBVcJTCvlUS1p1tGXIqec_X3WGFOls3uHgFB64oCC8U_YRcm8tGZ_QaUN8TqJwueMAwSoXUYufvj2OFCeOkHTWsYQMRTJesFnof_M9SH5WlFpmh6PBsU6wg9/s800/Monday+Must+Reads.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="800" data-original-width="800" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1bFV4MqOb3wboxr53AX09NBVcJTCvlUS1p1tGXIqec_X3WGFOls3uHgFB64oCC8U_YRcm8tGZ_QaUN8TqJwueMAwSoXUYufvj2OFCeOkHTWsYQMRTJesFnof_M9SH5WlFpmh6PBsU6wg9/s320/Monday+Must+Reads.png" /></a></div><br /><div><br /></div><div><br /></div><div>I've really enjoyed scrolling through <a href="https://twitter.com/MsFusinaChem" target="_blank">Shannon Fusina</a>'s twitter feed and seeing how she is modifying her chemistry classes for distance learning. I think we could all learn something from her and her creativity! </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihe6M_8sBVz6qGVNy9gsgga8zjCQ8SsnM5Yn7hw618umd_OAp-IGorXBqC0AQ8lu1UgEUdjNubDKEsUAz-PmQAPG1hNjwMogeHl8Z56r_sJVitg_2q95lBs7B3sM2_YAY-b5pnpWGJozzt/s732/Shannon+Fusina+1.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="510" data-original-width="732" height="446" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihe6M_8sBVz6qGVNy9gsgga8zjCQ8SsnM5Yn7hw618umd_OAp-IGorXBqC0AQ8lu1UgEUdjNubDKEsUAz-PmQAPG1hNjwMogeHl8Z56r_sJVitg_2q95lBs7B3sM2_YAY-b5pnpWGJozzt/w640-h446/Shannon+Fusina+1.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MsFusinaChem/status/1247242932949848064">https://twitter.com/MsFusinaChem/status/1247242932949848064</a></td></tr></tbody></table><div><br /><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhA8lKuo4Lyih-Jg_NvZUwpbcgDYwuMBrXRBc44TWKba6Ga2C2zDv2NNG15pIZ51ZQlFOwMoUwpvSSV0yQRTiJ-N58eRD_VAGuc51xD0zDVWHPQ9A3gYidVLAz1tw_pZ7ooWF99OrJQOe3A/s737/Shannon+Fusina+2.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="466" data-original-width="737" height="404" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhA8lKuo4Lyih-Jg_NvZUwpbcgDYwuMBrXRBc44TWKba6Ga2C2zDv2NNG15pIZ51ZQlFOwMoUwpvSSV0yQRTiJ-N58eRD_VAGuc51xD0zDVWHPQ9A3gYidVLAz1tw_pZ7ooWF99OrJQOe3A/w640-h404/Shannon+Fusina+2.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MsFusinaChem/status/1309223883166421010">https://twitter.com/MsFusinaChem/status/1309223883166421010</a></td></tr></tbody></table><div><br /><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgspb_LBBlx_BE-3tmwmk9dxa5v8OqYHKwJQEnCJliOiJFeh66Kx8xYUgdubagnWLIs90OdFk8rtaGphyphenhyphenlYk-vmZOabxnv9sxb9WYe6OpOi70SZ-6qTtvoBVh5c8mEEjQ_JP4SF50idBJ_B/s736/Shannon+Fusina+3.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="551" data-original-width="736" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgspb_LBBlx_BE-3tmwmk9dxa5v8OqYHKwJQEnCJliOiJFeh66Kx8xYUgdubagnWLIs90OdFk8rtaGphyphenhyphenlYk-vmZOabxnv9sxb9WYe6OpOi70SZ-6qTtvoBVh5c8mEEjQ_JP4SF50idBJ_B/w640-h480/Shannon+Fusina+3.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MsFusinaChem/status/1310567201091522564">https://twitter.com/MsFusinaChem/status/1310567201091522564</a></td></tr></tbody></table><br /><div><a href="https://twitter.com/AnkerMath">Julia Anker</a> shares a <a href="https://teacher.desmos.com/activitybuilder/custom/5f6f6b512e0537320896d657">Desmos Activity Builder</a> that takes a look at real life IRS data. </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgoa7_nuLTxLPGkYgSn53YMdNwRMGjfG3-UZ3XEYiKuYLhoX7ZfvgwkNLgmHCRwPjjcaal5k-gBU-c-roUCnvOLR8r0IAnkwjappFnMd1BqT9-RgvazDTDDbCb9AhlE6iPlGGUIG2MAaL30/s734/Julia+Anker.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="408" data-original-width="734" height="356" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgoa7_nuLTxLPGkYgSn53YMdNwRMGjfG3-UZ3XEYiKuYLhoX7ZfvgwkNLgmHCRwPjjcaal5k-gBU-c-roUCnvOLR8r0IAnkwjappFnMd1BqT9-RgvazDTDDbCb9AhlE6iPlGGUIG2MAaL30/w640-h356/Julia+Anker.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/AnkerMath/status/1309910539368239104">https://twitter.com/AnkerMath/status/1309910539368239104</a></td></tr></tbody></table><div><br /><a href="https://twitter.com/kennedy_tierney">Tierney Kennedy</a> shares a great math puzzle posted on LinkedIn of all places! </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2j83V0UYlN5y3biwyFJl05glc9m9EyFWWYXoSObBkvT8Xfz_JtOs3AhUYGwxKXEwk9Bb3AqMz4_fgBLw2UOGkSbCLcp7viY_eFUsa2i-MgQpx9kKvdGkyJREcUvfH4BIQr21Ywj39QGnT/s736/Tierney+Kennedy.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="542" data-original-width="736" height="472" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2j83V0UYlN5y3biwyFJl05glc9m9EyFWWYXoSObBkvT8Xfz_JtOs3AhUYGwxKXEwk9Bb3AqMz4_fgBLw2UOGkSbCLcp7viY_eFUsa2i-MgQpx9kKvdGkyJREcUvfH4BIQr21Ywj39QGnT/w640-h472/Tierney+Kennedy.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/kennedy_tierney/status/1309620053847941120">https://twitter.com/kennedy_tierney/status/1309620053847941120</a></td></tr></tbody></table><div><br /><a href="https://twitter.com/fawnpnguyen">Fawn Nguyen</a> shares a best practice when working with students and visual patterns. </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJswe4Dm-29DNGrc2ZzTsKvHRhU1Flq7pUxZ_DDvYMOk-U-G2n038OthVV21tv3tSxrtTMTRNlhiMFoF8dgdpZq8OonvnP1-wCv6c2YYd30ICpaPhunAmD1HGJGHlNiVHfgvcgK-VtcGng/s738/Fawn+Nguyen.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="516" data-original-width="738" height="448" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJswe4Dm-29DNGrc2ZzTsKvHRhU1Flq7pUxZ_DDvYMOk-U-G2n038OthVV21tv3tSxrtTMTRNlhiMFoF8dgdpZq8OonvnP1-wCv6c2YYd30ICpaPhunAmD1HGJGHlNiVHfgvcgK-VtcGng/w640-h448/Fawn+Nguyen.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/fawnpnguyen/status/1309174182668832769">https://twitter.com/fawnpnguyen/status/1309174182668832769</a></td></tr></tbody></table><div><br />Looking for a self-checking activity? Look no further than <a href="https://twitter.com/Nerd_QED">Farica Erwin</a>'s AMAZING Digital Sum Em Up Template! </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKcz-e4axKJgw_D4RW4WkGk72ArqRyMZJo4zbKlwhPqNl9FAsz5Gr654yra_YONvQg76kDoi2ciPrBBzUgoQPE46Sl8Zk0jse-D3QzZgnOLfD3_JVmN8-CnZea4-6Yc6OQf9IT6fQmH9Lf/s760/Farica+Erwin.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="687" data-original-width="760" height="578" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKcz-e4axKJgw_D4RW4WkGk72ArqRyMZJo4zbKlwhPqNl9FAsz5Gr654yra_YONvQg76kDoi2ciPrBBzUgoQPE46Sl8Zk0jse-D3QzZgnOLfD3_JVmN8-CnZea4-6Yc6OQf9IT6fQmH9Lf/w640-h578/Farica+Erwin.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/Nerd_QED/status/1307120985649426432">https://twitter.com/Nerd_QED/status/1307120985649426432</a></td></tr></tbody></table><div><br /></div><div><a href="https://twitter.com/shskaercher">Mark Kaercher</a> shows how to incorporate <a href="https://twitter.com/1to9puzzle">@1to9puzzle</a> into Desmos. Brilliant! </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdedojv-GuWGHKhYQ4pBU11aON3TUiqQP6iPpr6kCWlWK53lNNczH6f1T1LUdwMf24KpQqochmjUaAbX2Cg7JRxr43mZVNzzjhbCMG2vvkCd_kegS_tNkCvDM6ge2hPmk3ZyAGKJWaQ2BG/s736/Mark+Kaercher+2.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="394" data-original-width="736" height="342" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdedojv-GuWGHKhYQ4pBU11aON3TUiqQP6iPpr6kCWlWK53lNNczH6f1T1LUdwMf24KpQqochmjUaAbX2Cg7JRxr43mZVNzzjhbCMG2vvkCd_kegS_tNkCvDM6ge2hPmk3ZyAGKJWaQ2BG/w640-h342/Mark+Kaercher+2.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/shskaercher/status/1306939505946038275">https://twitter.com/shskaercher/status/1306939505946038275</a></td></tr></tbody></table><div><br /></div><div><a href="https://twitter.com/MissBohr_Math">Miss Bohr</a> shares a fun getting-to-know you activity. This could still be fun a few weeks into the school year! </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqsBdjCsW_cQnLHA2lsQPmu4F1v7tcSna9UE1WM_kVyT8z-VUXoPcQNk1mP4ZytIfAycHkCsR1E5YYCNjA6aVXoC8nv3IySlUvR1ux2ikixTCMeXKLJ3h2v0awDAmRLccoLLovjXN1c6zl/s736/Miss+Bohr.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="460" data-original-width="736" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqsBdjCsW_cQnLHA2lsQPmu4F1v7tcSna9UE1WM_kVyT8z-VUXoPcQNk1mP4ZytIfAycHkCsR1E5YYCNjA6aVXoC8nv3IySlUvR1ux2ikixTCMeXKLJ3h2v0awDAmRLccoLLovjXN1c6zl/w640-h400/Miss+Bohr.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MissBohr_Math/status/1295420587985317893">https://twitter.com/MissBohr_Math/status/1295420587985317893</a></td></tr></tbody></table><div><br />Check out this great way to check in with students and provide extra help from <a href="https://twitter.com/jjkeen42">Jessica Keen</a>! </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyoMHz6E27oEWVoyfHAF84hsXmv84Q1PdaFSn17jLvc5tqzjxT3PNZbYQMfD2rglGiKCJr3t9DPw4SjfMvl2-g2G37xStktQSBThwwat0NHpt5HyqiXmMF5KHC3GK0G4YxBw7rsA2nUPga/s750/Jessica+Keen.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="750" data-original-width="597" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyoMHz6E27oEWVoyfHAF84hsXmv84Q1PdaFSn17jLvc5tqzjxT3PNZbYQMfD2rglGiKCJr3t9DPw4SjfMvl2-g2G37xStktQSBThwwat0NHpt5HyqiXmMF5KHC3GK0G4YxBw7rsA2nUPga/w510-h640/Jessica+Keen.PNG" width="510" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/jjkeen42/status/1306960560622391302">https://twitter.com/jjkeen42/status/1306960560622391302</a></td></tr></tbody></table><div><br />Interesting thoughts from <a href="https://twitter.com/DavidKButlerUoA">David Butler</a> regarding the order of operations...</div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMoKXNgjFyzcxGoyfLUz-wSFMamj-saP4pTEqxTXfszCeSnYOE65AspusOQospiq8G0ZmcqWdefQIUEy9c3_E6ojPDpvvLvi4ZPc7qQ7co_o8rmhtLaJ6iGmsBDAp0LPsW_OXY9GZhsfFY/s758/David+Butler+3.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="215" data-original-width="758" height="182" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMoKXNgjFyzcxGoyfLUz-wSFMamj-saP4pTEqxTXfszCeSnYOE65AspusOQospiq8G0ZmcqWdefQIUEy9c3_E6ojPDpvvLvi4ZPc7qQ7co_o8rmhtLaJ6iGmsBDAp0LPsW_OXY9GZhsfFY/w640-h182/David+Butler+3.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/DavidKButlerUoA/status/1306688687955042305">https://twitter.com/DavidKButlerUoA/status/1306688687955042305</a></td></tr></tbody></table><div><br /><a href="https://twitter.com/MrsB50753231">Mrs. B</a> shares a way to organize digital resources. I know we can all use more organization right now. </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnLrbxJP9gErre_mapbajHo-Xdgw2Mw3nrwV1yIblg-cRJvZtu8o5kh0bVh5dsq-dZ9ZraCi-oi6xtkQ-0IPQis5T-3l5RoEA_AudfuqWCa0ZM3asdYceQbYj0XUj1BNuUZIHVxW4_XCz0/s732/Mrs+B.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="444" data-original-width="732" height="388" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnLrbxJP9gErre_mapbajHo-Xdgw2Mw3nrwV1yIblg-cRJvZtu8o5kh0bVh5dsq-dZ9ZraCi-oi6xtkQ-0IPQis5T-3l5RoEA_AudfuqWCa0ZM3asdYceQbYj0XUj1BNuUZIHVxW4_XCz0/w640-h388/Mrs+B.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MrsB50753231/status/1289292064585158656">https://twitter.com/MrsB50753231/status/1289292064585158656</a></td></tr></tbody></table><div><br />I really like this focused trig practice from <a href="https://twitter.com/ChrisMcGrane84">Chris McGrane</a>. </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEit0fUKEHsbR0hco36m7Xqo9ZrQ39TJjlgJpMfsnlxTqUvjNYUFrq4GAWOxB_MHWX4ALuCLC13Zn87cGYAvj7_Ppa_AypXBWtrJuDhh1R41Jj5yoRDOJr5cFpcUivuQlWpH93lOhciuDmIS/s731/Chris+McGrane.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="633" data-original-width="731" height="554" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEit0fUKEHsbR0hco36m7Xqo9ZrQ39TJjlgJpMfsnlxTqUvjNYUFrq4GAWOxB_MHWX4ALuCLC13Zn87cGYAvj7_Ppa_AypXBWtrJuDhh1R41Jj5yoRDOJr5cFpcUivuQlWpH93lOhciuDmIS/w640-h554/Chris+McGrane.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/ChrisMcGrane84/status/1306625033238990848">https://twitter.com/ChrisMcGrane84/status/1306625033238990848</a></td></tr></tbody></table><div><br /><a href="https://twitter.com/MsHereth">Ella Hereth</a> engages students with the real number system by having them draw their own maps. </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkTL_XprM8RpDBXyiN1tFF5Kbq5R2bFEPs8ZTwRf_Cwf9z8JFvhuQ3aLHjDcBjHGrZ0RbQvv7M7WlvM2igxxQNj5gmOjNt4SSvo5DEYlvKTm2BjxYt3H1ecFkGbzTPVWTjqcpOIHnQXSXM/s744/Ella+Hereth.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="489" data-original-width="744" height="420" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkTL_XprM8RpDBXyiN1tFF5Kbq5R2bFEPs8ZTwRf_Cwf9z8JFvhuQ3aLHjDcBjHGrZ0RbQvv7M7WlvM2igxxQNj5gmOjNt4SSvo5DEYlvKTm2BjxYt3H1ecFkGbzTPVWTjqcpOIHnQXSXM/w640-h420/Ella+Hereth.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MsHereth/status/1306517669341016065">https://twitter.com/MsHereth/status/1306517669341016065</a></td></tr></tbody></table><div><br /><a href="https://twitter.com/nathanday314">Nathan Day</a> shares some inspiring posters. </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjuWF6OifSFT8wRmyfmuQSKkkWnqNCw6Lcuvyt55pQ_Qb-L2hZvrrLqEQ6ScrY9Cfdm6pNPHw9SJWUIE_Z3kmQM3bosH_-CSrKL8bjCVzZ_6uRW1eUjYCpYOhVd8TT6Ye9g-agDZVXrIvx5/s738/Nathan+Day.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="658" data-original-width="738" height="570" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjuWF6OifSFT8wRmyfmuQSKkkWnqNCw6Lcuvyt55pQ_Qb-L2hZvrrLqEQ6ScrY9Cfdm6pNPHw9SJWUIE_Z3kmQM3bosH_-CSrKL8bjCVzZ_6uRW1eUjYCpYOhVd8TT6Ye9g-agDZVXrIvx5/w640-h570/Nathan+Day.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/nathanday314/status/1286940354315517952">https://twitter.com/nathanday314/status/1286940354315517952</a></td></tr></tbody></table><div><br /><a href="https://twitter.com/Math_Pi_rate111">Austintacious Mathematicians</a> shares an idea for using sentence strips in the math classroom. </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6JPcU_lksn_MK6LmiYzHh2ZUFntv2-b0Yi3CB-CkuPVJJ14gjNe51-H6mxjOe0saFzeder61pEDWFzocVCoG_0REqf8yo7d_NY-x5uBgTDScWKAeym9wbs5UGp5JZ4y8PEZbbzzUafWwM/s737/Austintacious+Mathematicians.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="486" data-original-width="737" height="422" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6JPcU_lksn_MK6LmiYzHh2ZUFntv2-b0Yi3CB-CkuPVJJ14gjNe51-H6mxjOe0saFzeder61pEDWFzocVCoG_0REqf8yo7d_NY-x5uBgTDScWKAeym9wbs5UGp5JZ4y8PEZbbzzUafWwM/w640-h422/Austintacious+Mathematicians.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/Math_Pi_rate111/status/1254746983325196289">https://twitter.com/Math_Pi_rate111/status/1254746983325196289</a></td></tr></tbody></table><div><br />I also really like this idea for using dominoes to practice finding slope between two points. </div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAw8-YMgvsJqpuIiS9Oee8i7ZBwi-nXpVFvIzTQ4LM9KMNLLjxS-FcxFUfjxUZYw01vl2gIdJeOHtnzkEnRnnmPXq2xN2BrrTVthGV9X0OjW3NA2uwpB3pq84KahmB7GWroAEKIYjDMs27/s740/Austintacious+Mathematicians+2.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="458" data-original-width="740" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAw8-YMgvsJqpuIiS9Oee8i7ZBwi-nXpVFvIzTQ4LM9KMNLLjxS-FcxFUfjxUZYw01vl2gIdJeOHtnzkEnRnnmPXq2xN2BrrTVthGV9X0OjW3NA2uwpB3pq84KahmB7GWroAEKIYjDMs27/w640-h396/Austintacious+Mathematicians+2.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/Math_Pi_rate111/status/1270761678574178305">https://twitter.com/Math_Pi_rate111/status/1270761678574178305</a></td></tr></tbody></table><div><br />And, why did I never think of using popsicle sticks for teaching domain and range?!?</div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhW_PjQZm2RkK8E5_xNzcxFvgkFARjbmDk1Z_OuZbL2sF5o1FJBpTvAeINGB_ocuYrP0pSHQ1uOnDuLEcbVtMDIe34hI18yiAYyRk7kQxPORbV34pOmTTGNgJSla3FeuThzq3bAZz5t8Pwj/s738/Austintacious+Mathematicians+3.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="646" data-original-width="738" height="560" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhW_PjQZm2RkK8E5_xNzcxFvgkFARjbmDk1Z_OuZbL2sF5o1FJBpTvAeINGB_ocuYrP0pSHQ1uOnDuLEcbVtMDIe34hI18yiAYyRk7kQxPORbV34pOmTTGNgJSla3FeuThzq3bAZz5t8Pwj/w640-h560/Austintacious+Mathematicians+3.PNG" width="640" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/Math_Pi_rate111/status/1304518553270464513">https://twitter.com/Math_Pi_rate111/status/1304518553270464513</a></td></tr></tbody></table><div><br /><br />Keep sharing those awesome ideas! </div><div><br /></div><div><br /><br /></div><div><br /></div>
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com2tag:blogger.com,1999:blog-1091979517567705761.post-76163275661533571212020-09-16T15:16:00.000-05:002020-09-16T15:16:20.209-05:00Goals for the 2020-2021 School Year - PANDEMIC STYLEEarlier this month, I shared the files and inspiration behind my <a href="https://mathequalslove.blogspot.com/2020/09/sharing-my-lesson-plan-book.html">2020-2021 lesson plan book</a>. One of my new pages for this year is a goals page. I decided I wanted to pick 5 priorities for this school year and commit them to writing. My plan is that once per month, I will reflect on how I'm doing and how I can further improve.<br />
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So, what are my goals for 2020-2021?<br />
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1. Google Classroom<br />
2. Parent/Student Contact Log<br />
3. Blog Regularly as Reflective Practice<br />
4. Stop Reinventing the Wheel When I Don't Have To<br />
5. Desmos Computational Layer<br />
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I'll elaborate on each below.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjm2IiWisFBfCqCQgMyFpxqtvX2qhaTIt1bwUHTG4GLEQgyXdE0auhXvyL1BOU9OxbZaI4hP-_0fzotfcn8RSeDpYTYpJdc5iadXN8w8hsOMJ8MRy5bofNjB9dMw0xts6Z5Ps3UW1rPUIz5/s1600/IMG_20200827_114347344.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjm2IiWisFBfCqCQgMyFpxqtvX2qhaTIt1bwUHTG4GLEQgyXdE0auhXvyL1BOU9OxbZaI4hP-_0fzotfcn8RSeDpYTYpJdc5iadXN8w8hsOMJ8MRy5bofNjB9dMw0xts6Z5Ps3UW1rPUIz5/s640/IMG_20200827_114347344.jpg" width="480" /></a></div>
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<b>Google Classroom</b><br />
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This is my third year using google classroom. Each year, I've tried to use it effectively. But if I'm honest, I only really used it to send out assignments when I was unexpectedly absent OR to post answer keys to study guides.<br />
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Maybe it's cheating a bit to set this as my goal this year because I don't really have a choice in the matter. I MUST master google classroom this year. We are teaching face-to-face, but we frequently have students quarantining after being exposed to COVID or because they are exhibiting symptoms. Sometimes these quarantine periods can last up to 24 days. Students need to know exactly what they are missing when they can't be in the classroom with me.<br />
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It is my goal that my Google Classroom classwork tab for each class will represent a comprehensive list of what we did EVERY DAY of the ENTIRE SCHOOL YEAR. Does this do away with my need for a lesson plan book? No, not at all. My lesson plan book's purpose is to provide me an "at a glance" view of what each course is doing each day. It's a place to write notes to myself about what went well and what needs to be overhauled in the future. I will say that when you get three days behind in filling out your lesson plan book, though, that google classroom then provides an excellent resource for remembering what you did each day!<br />
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We're currently 14 days into the school year and my google classroom is still up to date, so I guess I'm doing good so far. I've learned some lessons about using google classroom effectively, but I will save those for my first goals check-in post.<br />
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<b>Parent/Student Contact Log</b><br />
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Parent contact is an area which I can definitely improve upon. It's probably one of my weakest areas. I often wait until parents contact me, and I know I need to be more proactive in my approach. This year I'm teaching almost entirely juniors and seniors, so I'm hoping I can also be more proactive in communicating with them to hopefully avoid having to do as much bad news communication with parents.<br />
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In the past, I tried to keep a paper-based parent contact log. It did not work at all. I would fill out a page or two, and then it would sit collecting dust the entire rest of the year. As soon as I forgot to log a single conversation, I would decide that it just wasn't worth it to keep logging conversations since my log was no longer 100% comprehensive. This is one of those areas where my perfectionism flairs up. If I can't do it perfectly, I just don't want to do it at all.<br />
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This year I tossed all my old (blank) parent contact forms and have taken a digital approach. I don't let myself archive any emails from my inbox until I've added them to my contact log, so that's forcing me to stay of logging things as I strive regularly for inbox zero.<br />
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I based my digital log off of a log my school required us to keep back in the spring when we were first experiencing distance learning. I don't want to share too much until I make sure it actually works.<br />
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<b>Blog Regularly as Reflective Practice</b><br />
<br />
When I first started blogging as a student teacher, I was constantly reflecting on my teaching practice. I talked about what was going well and what was going not so well. Somewhere along the way, my blog posts shifted into "Here's a cool puzzle!" or "Here's a printable activity I made for my students." That shift isn't a bad thing. It probably resulted from just gaining confidence in myself and my teaching skills.<br />
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But, like everyone else in the teaching profession right now, I'm feeling like a first year teacher all over again. I don't have perfectly polished digital activities to share with you that you can implement tomorrow. But, I do have built and my reflections on what worked well and what didn't work at all. This year, I want to focus more on blogging to share these reflections. For it's through the writing of these reflections that I get a chance to learn from these lessons. And, hopefully you learn something, too.<br />
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<b>Stop Reinventing the Wheel When I Don't Have To</b><br />
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I don't have to make all my own activities. I don't have to make all my own videos. It's okay to borrow and adapt resources from others. It's okay to borrow them and not even make any attempt to adapt them at all. I didn't write it as a goal on this list, but my number one goal for this school year is to SURVIVE. I have three preps this year. Even though I've taught each of them before, I've never taught any of them in the midst of a pandemic. I've never taught any of them using only digital resources. I've never taught them to students quarantined at home.<br />
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I need to remind myself that I am still a good teacher even if I am relying on the work of other teachers. So this year, I will create resources when I feel inspired, and I will adapt and use the resources of others when I need to.<br />
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<b>Desmos Computational Layer</b><br />
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I've played around a tiny bit with Desmos Computational Layer, but I know I have SOOOOOO much still to learn. As I make my own activities this year, I hope to become more proficient in CL. I've already learned a bit this year that I'm super excited about. But, learning this little bit has shown me how much more there is to learn. I'm hoping to share one tiny tidbit of CL I've learned each month when I post an update on how my goals are going.<br />
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I'll be back next month with an update about how my goals are going. I'd love to hear about your goals for this school year!<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0tag:blogger.com,1999:blog-1091979517567705761.post-36600494028131007112020-09-15T17:45:00.000-05:002020-09-15T17:45:22.450-05:00New Puzzle: Only 'Takes' and 'Adds' I did a lot of thinking this summer about how I wanted to incorporate puzzles into my classroom this year. Over the last few years, puzzles are one of the things I've become known for sharing on my blog. Hello, I have an <a href="https://mathequalslove.blogspot.com/p/puzzles.html">entire page on my blog</a> dedicated to all things puzzles.<br />
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<img height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisHBcUsLPzTGFLveAA1z1PdWLQU4xkHgPp4srY3HH0UjmDr2RHQoU3SgY0QXN7VloWFLk1IXS7Q0K_0FCycRpwO25WqAt7V3SQ2c0PeyKrNrASBrTP_rtzbojadhL7eAoZ95-6Kp_Rk6sN/s320/IMG_20190815_110825603.jpg" width="240" /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBgILLnpTuF_TYXKTg7nLwmS081tlSp6W0qvQ2SwXF8zSrEwioCE19HZdgWLyNayxNGJz68ewPRmd9pLPYM9khW_hrKmBi2y0sNAjJUkeQ_oYk1rAqrxaA1f1_TpH1DgPnDhdGKClHiDy5/s1600/Domino+Effect.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBgILLnpTuF_TYXKTg7nLwmS081tlSp6W0qvQ2SwXF8zSrEwioCE19HZdgWLyNayxNGJz68ewPRmd9pLPYM9khW_hrKmBi2y0sNAjJUkeQ_oYk1rAqrxaA1f1_TpH1DgPnDhdGKClHiDy5/s320/Domino+Effect.jpg" width="240" /></a></div>
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There are so many excellent puzzles out there in the world, but my favorites for the classroom are those that involve pieces to manipulate. I love putting magnets on the back of each piece and hanging the puzzle up on my dry erase board for students to play with throughout the week.<br />
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<img height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmI5ttehwox6sVBrqgs1Ym9DjohsvEEKPzPOeSxpLZ7zCmh2TPqaChNsINYcbZEcRtEaJrfve2VHRM_zqvVz-o3YvH2g7TPxNvu0XkUbXwQXJursif-DdefRYMTTl4J5Ls5QF-WhggsdUG/s400/IMG_20190727_151003425.jpg" width="400" /></div>
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We've been teaching face-to-face since school started back in late August with required social distancing and no shared supplies/materials. This means I have to rethink my weekly puzzle station since it often involves an entire group of students congregated at the dry erase board while manipulating the same set of puzzle pieces.<br />
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Someone on twitter suggested mini laminated versions of each puzzle that get sprayed with lysol between uses. But, I'm at the point this year where I feel like I already have too much on my plate and something like sanitizing puzzle pieces on a daily basis might just send me past my tipping point.<br />
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So, I'm currently on a quest to build myself a new collection of puzzles to post in my classroom that students can solve that don't involve any pieces to touch and manipulate.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEheE07BPMbyMXUuLUIzD63zxMyo8HDEN7JtkrihqpXYd8EqXqQ0OH-E1fuHnM3lyKRoKj3G6Vh2jSgnLcoqkNcgjD0o_8dDX9sV8WIaDBikCl8fRHSr84OaLTeXOg3njpiATti4AIOm_d-q/s1600/Matte+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEheE07BPMbyMXUuLUIzD63zxMyo8HDEN7JtkrihqpXYd8EqXqQ0OH-E1fuHnM3lyKRoKj3G6Vh2jSgnLcoqkNcgjD0o_8dDX9sV8WIaDBikCl8fRHSr84OaLTeXOg3njpiATti4AIOm_d-q/s640/Matte+1.jpg" width="480" /></a></div>
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Since I have many students this year who I also taught last year, I went ahead and made a no touching sign to hang under my puzzle of the week sign. A blog commenter suggested awhile back that I try matte finish Krylon spray to keep my laminated stuff from having an annoying glare. I finally tried it out, and I am super impressed with the results. </div>
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Check out the difference between the no touching sign I sprayed and the puzzle of the week sign I didn't. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgV8VjMPIitOQr0hK7MnU1a8zgSNpWOJXvAQp4JYoCOXM6n1yQZVbHmDTSQNEYxV0IeofEGXe_FUhqGEvzv-7nkB-0yUUg96S05h6VlHEaWyzulyc5zXnKyoGRLqOW7ZExXzHBek4Su2C5X/s1600/Matte+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgV8VjMPIitOQr0hK7MnU1a8zgSNpWOJXvAQp4JYoCOXM6n1yQZVbHmDTSQNEYxV0IeofEGXe_FUhqGEvzv-7nkB-0yUUg96S05h6VlHEaWyzulyc5zXnKyoGRLqOW7ZExXzHBek4Su2C5X/s640/Matte+2.jpg" width="640" /></a></div>
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This week, we'll be testing out the concept of no touching puzzles with Brian Bolt's Only 'Takes' and 'Adds' puzzle from <a href="https://amzn.to/3iAF9QO">Mathematical Cavalcade</a> (affiliate link).<br />
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<a href="https://amzn.to/3iAF9QO"><img border="0" data-original-height="499" data-original-width="384" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPCB9dEGro-3iCMlhLPtqqf3n6MXqkXL70IS7zkbRCBZg5Me5xl1eogZyAv39sIiRLkDF-b8cfuqd0ZBzL4-cgR8gmQIEqS9p5hdKZb-XrHB9CBn_AC1KY1EJxkChL_mp8TQ83DnHaTIuX/s320/cavalcade.jpg" width="246" /></a></div>
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I reworded the task a bit to make it easier to turn into a poster. Write down the digits 9 to 1 in descending order. Make 100 by adding only addition and subtraction signs.<br />
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For example: 98 - 7 + 6 + 5 + 4 - 3 - 2 - 1 = 100.<br />
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How many ways can you find? Can you make 100 using only 4 signs?<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbP6hRleabJ5vt8oTI0wrIMg4zUgi7MIqFFBYgKZc1gHyiVJz97pSliCxqNparacVDN3r1PP2brgjPMbECWVvS6YsUkN1MzppofueR0qkR64I8yFmFaYmdk03HjdtrwMxJQJGN2OwVFaxL/s1600/Only+Takes+and+Adds+-+Brian+Bolt+Puzzle.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="588" data-original-width="768" height="490" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbP6hRleabJ5vt8oTI0wrIMg4zUgi7MIqFFBYgKZc1gHyiVJz97pSliCxqNparacVDN3r1PP2brgjPMbECWVvS6YsUkN1MzppofueR0qkR64I8yFmFaYmdk03HjdtrwMxJQJGN2OwVFaxL/s640/Only+Takes+and+Adds+-+Brian+Bolt+Puzzle.png" width="640" /></a></div>
I love this task for several reasons. First, I appreciate the fact that there are multiple solutions. When I solved the problem myself, I found it pretty easy to find A solution. It was much more difficult to find a solution using only 4 signs. There was a nice bit of logical thinking that I had to go through to figure out how to organize my work to make finding a solution more feasible. I also really appreciate that the task provides one solution as an example. This prevents having to specify, for example, that concatenation is allowed.<br />
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Want to print a copy of the puzzle for your own classroom? I've uploaded the file <a href="https://app.box.com/s/30el5uh2dbpg5is71mt8uopzt19rip5m">here</a>.<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0tag:blogger.com,1999:blog-1091979517567705761.post-80205107427063684092020-09-14T19:10:00.000-05:002020-09-14T19:10:14.416-05:00Monday Must Reads: Volume 65Wow! It's been a long time since I last sat down in April to put together a Monday Must Reads post. I usually take a break from these posts during the summer, but the craziness of this pandemic meant an extra long break this time. Anyway...I'm excited to be sharing with you today some of the awesomeness of other teachers on twitter that has been sitting in my Twitter likes for the last five months. I hope you find some inspiring ideas to use in your own classroom. There are a ton more digital ideas than normal in this Monday's round-up, but I guess that's to be expected.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1bFV4MqOb3wboxr53AX09NBVcJTCvlUS1p1tGXIqec_X3WGFOls3uHgFB64oCC8U_YRcm8tGZ_QaUN8TqJwueMAwSoXUYufvj2OFCeOkHTWsYQMRTJesFnof_M9SH5WlFpmh6PBsU6wg9/s1600/Monday+Must+Reads.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="800" data-original-width="800" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1bFV4MqOb3wboxr53AX09NBVcJTCvlUS1p1tGXIqec_X3WGFOls3uHgFB64oCC8U_YRcm8tGZ_QaUN8TqJwueMAwSoXUYufvj2OFCeOkHTWsYQMRTJesFnof_M9SH5WlFpmh6PBsU6wg9/s320/Monday+Must+Reads.png" width="320" /></a></div>
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Check out this open middle math problem from <a href="https://twitter.com/minor_math">Stephanie Minor</a>. I LOVE seeing how teachers are incorporating critical thinking tasks in their virtual classrooms. I have so much to learn about being an excellent digital teacher,<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgebdvWt5rvCmu34FoR1-_hsvwegblYFb6A-BIa7GZpP0qBeCcxKrIVGNjwalwEk0qzX5Eml3WA3HedVrH-Oo1bD6O6q9eczD1H-SO07VR4pnVqgNFNwjE528iuFsN58fiMzgKBp6b6Orih/s1600/Stephanie+Minor.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="560" data-original-width="880" height="407" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgebdvWt5rvCmu34FoR1-_hsvwegblYFb6A-BIa7GZpP0qBeCcxKrIVGNjwalwEk0qzX5Eml3WA3HedVrH-Oo1bD6O6q9eczD1H-SO07VR4pnVqgNFNwjE528iuFsN58fiMzgKBp6b6Orih/s640/Stephanie+Minor.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/minor_math/status/1304472883306131457">https://twitter.com/minor_math/status/1304472883306131457</a></td></tr>
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Need to type a weird symbol into your Desmos activity? <a href="https://twitter.com/druinok">Druin</a> recommends <a href="http://coolsymbol.com/">coolsymbol.com</a><span id="goog_1336383693"></span><a href="https://www.blogger.com/"></a><span id="goog_1336383694"></span>. I am definitely going to need this site this year. I couldn't figure out how to get the degree symbol the other day, so I just ended up writing out the word degrees.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEii2NjzJHdERyy8Su0g_OM30BGhk9g-99xc45ERAHoCyjSRXEhqKp38rtr7rvwbXjVWDG4kXsvcRq2p9iShr6T-YphwMPSzWkUSwFlDoDMSe-6gQ6gazedNIItfrdhpOoe35XsuwER2FaMT/s1600/Druin.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="322" data-original-width="875" height="235" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEii2NjzJHdERyy8Su0g_OM30BGhk9g-99xc45ERAHoCyjSRXEhqKp38rtr7rvwbXjVWDG4kXsvcRq2p9iShr6T-YphwMPSzWkUSwFlDoDMSe-6gQ6gazedNIItfrdhpOoe35XsuwER2FaMT/s640/Druin.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/druinok/status/1305206739680350211">https://twitter.com/druinok/status/1305206739680350211</a></td></tr>
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<a href="https://twitter.com/druinok">Druin</a> also shares a great teacher hack for taking attendance through a Desmos activity.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh75YDr5pbYlKO5XQT85c_M9xP-4kwC1Mc_d0y6K5JdiH7MTevKJp41zgve0v1sNCuajT4Q5dFDGfmrxHV8gpwppnrzJ7h0cJuKa0j0TKNk6Fb-ca5WvmiOHz24C385VOnKrTejlmCmXklR/s1600/Druin+2.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="599" data-original-width="732" height="522" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh75YDr5pbYlKO5XQT85c_M9xP-4kwC1Mc_d0y6K5JdiH7MTevKJp41zgve0v1sNCuajT4Q5dFDGfmrxHV8gpwppnrzJ7h0cJuKa0j0TKNk6Fb-ca5WvmiOHz24C385VOnKrTejlmCmXklR/s640/Druin+2.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/druinok/status/1300058303112900609">https://twitter.com/druinok/status/1300058303112900609</a></td></tr>
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Looking for a prompt to help you get to know your students better? Check out this one from <a href="https://twitter.com/toddf9">Todd Feitelson</a>. That student response is priceless.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDvjjSTW0XZkx8ZI8luPr9C7jTka20dWqi8kPWRPRqzxw_MPfphQqCq-RwGZDVunw6jxSNuvGWXSRu1GYGyflveOGGhIPMfwnwhlOA8IS24uzjh8XNjlxOjQJiLjPsQ68rc1U-VpzHvcpv/s1600/Todd+Feitelson.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="353" data-original-width="886" height="254" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDvjjSTW0XZkx8ZI8luPr9C7jTka20dWqi8kPWRPRqzxw_MPfphQqCq-RwGZDVunw6jxSNuvGWXSRu1GYGyflveOGGhIPMfwnwhlOA8IS24uzjh8XNjlxOjQJiLjPsQ68rc1U-VpzHvcpv/s640/Todd+Feitelson.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/toddf9/status/1304447633671495681">https://twitter.com/toddf9/status/1304447633671495681</a></td></tr>
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<a href="https://twitter.com/benjamindickman">Benjamin Dickman</a> shares a fun bit of trivia that I'm going to save for when we get to logarithms this year in Algebra 2.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpMmDi_K7r-z40UzaW1zBO1rft6EI8AiGe8I3mQHC2zSK2co2574B51_fB-7BnNJYP4zuorm-t2I-DiukUIQOojzYh_qG78ZBdY08lrWt1DKZFTGB-dW205Y7G4MWB-B7MCIzDH1O8AQB6/s1600/Benjamin+Dickman.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="622" data-original-width="882" height="451" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpMmDi_K7r-z40UzaW1zBO1rft6EI8AiGe8I3mQHC2zSK2co2574B51_fB-7BnNJYP4zuorm-t2I-DiukUIQOojzYh_qG78ZBdY08lrWt1DKZFTGB-dW205Y7G4MWB-B7MCIzDH1O8AQB6/s640/Benjamin+Dickman.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/benjamindickman/status/1304167496816226309">https://twitter.com/benjamindickman/status/1304167496816226309</a></td></tr>
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<a href="https://twitter.com/lisagarcia28">Lisa Navarro Garcia</a> proves that teaching virtually doesn't mean that you have to give up the <a href="https://mathequalslove.blogspot.com/2019/08/teaching-train-game.html">train game</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiPBWyc5HLvRFoYXbALWNTWZqtbCg4dnVOAO2WH0caQJ_LmmZgjwLRHkxhfs_zBaBZzcmfYEfb18FyAXVnB0HcLtVyU6kTtw2Vkw2KcZ1mkRdWgcrk4XY8WU36birr3bU4-qphhk3ENCrSx/s1600/Lisa+Navarro+Garcia.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="562" data-original-width="885" height="406" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiPBWyc5HLvRFoYXbALWNTWZqtbCg4dnVOAO2WH0caQJ_LmmZgjwLRHkxhfs_zBaBZzcmfYEfb18FyAXVnB0HcLtVyU6kTtw2Vkw2KcZ1mkRdWgcrk4XY8WU36birr3bU4-qphhk3ENCrSx/s640/Lisa+Navarro+Garcia.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/lisagarcia28/status/1304466858632859648">https://twitter.com/lisagarcia28/status/1304466858632859648</a></td></tr>
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<a href="https://twitter.com/merryfwilliams">Mary Williams</a> shares some great slides from a <a href="https://teacher.desmos.com/activitybuilder/custom/5f56cfd1d371d20fa1426832">Desmos activity</a> with credit to Luke Walsh and Carole Pryor. I LOVE the emoji slide.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOrjG-GbzPYUCvuZnjUzhIn0vQH2tvrENHx50NDuJkDcrVDRP-K_3BO9hf6rJFlJx18scekfajP-y55oimmzsrF33G_jWNUqZAo6Ave4k1BHDn7pDqbDHGTcI8A29FT0G9Xg5G2nA0Inkt/s1600/Mary+Williams.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="614" data-original-width="876" height="448" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOrjG-GbzPYUCvuZnjUzhIn0vQH2tvrENHx50NDuJkDcrVDRP-K_3BO9hf6rJFlJx18scekfajP-y55oimmzsrF33G_jWNUqZAo6Ave4k1BHDn7pDqbDHGTcI8A29FT0G9Xg5G2nA0Inkt/s640/Mary+Williams.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/merryfwilliams/status/1304367956948910081">https://twitter.com/merryfwilliams/status/1304367956948910081</a></td></tr>
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<a href="https://twitter.com/LisaBiber">Lisa Biber</a> shares an excellent idea for getting students to engage more in google meets.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrAb68lNFD947nwkDHNYv5ojyUs0VHJ3TRm1y5T9N2Avkb71RFhTuIgtJE1vMLvokNjkYGQNoa71Z7er5ivkzd709kHl3KQP6Or995oXNGVMU3esIWIEW3ogR_Y_MzUZTNZmCt23t71VCV/s1600/Lisa+Biber.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="615" data-original-width="885" height="444" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrAb68lNFD947nwkDHNYv5ojyUs0VHJ3TRm1y5T9N2Avkb71RFhTuIgtJE1vMLvokNjkYGQNoa71Z7er5ivkzd709kHl3KQP6Or995oXNGVMU3esIWIEW3ogR_Y_MzUZTNZmCt23t71VCV/s640/Lisa+Biber.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/LisaBiber/status/1304207528172158980">https://twitter.com/LisaBiber/status/1304207528172158980</a></td></tr>
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I really like this idea for a Zoom game from <a href="https://twitter.com/DavidKButlerUoA">David Butler</a>.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqN-OgXioLiscfPrBBQkfW5p8mQeUecI4HpX_6Hp1Dfm3r6jpXrfmISkpis-CNQ2_be5kgKkSteGyuVFjv0ze0YIVl_Cqmy4xDYPwZ-rN9lWKy56loYM_-53OQVJqWlTjbGVwpMf7j2D3X/s1600/David+Butler.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="225" data-original-width="893" height="160" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqN-OgXioLiscfPrBBQkfW5p8mQeUecI4HpX_6Hp1Dfm3r6jpXrfmISkpis-CNQ2_be5kgKkSteGyuVFjv0ze0YIVl_Cqmy4xDYPwZ-rN9lWKy56loYM_-53OQVJqWlTjbGVwpMf7j2D3X/s640/David+Butler.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/DavidKButlerUoA/status/1304241850186825729">https://twitter.com/DavidKButlerUoA/status/1304241850186825729</a></td></tr>
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<a href="https://twitter.com/DavidKButlerUoA">David Butler</a> continues to inspire with a new take on the <a href="https://blogs.adelaide.edu.au/maths-learning/2020/09/06/changing-the-goal-of-the-numbers-game/">numbers game</a> he created seven years ago. I think this would make a great game to play collaboratively with students during distance learning. Even though I've never met David in person, he inspires me to be a better teacher with each idea that he shares on twitter. I admire how he always shares the process he goes through to solve a math(s) problem or create a puzzle. Too often, we just share our shiny finished products and not the beautifully messy path that got us there.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYx4Dd2pUNJW6zl1RMk5e0afCdFRONzoNXKmAVNuATqnxeIIriIH28w2AQAOz9vU7QlGDIJwI_a6PTM-JRt60UNjIPWGj1JmkmAa-VC7OCFmqYF56IYio29T3tyYjzJU-4sOt5ZqpUPBiR/s1600/David+Butler+2.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="659" data-original-width="728" height="578" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYx4Dd2pUNJW6zl1RMk5e0afCdFRONzoNXKmAVNuATqnxeIIriIH28w2AQAOz9vU7QlGDIJwI_a6PTM-JRt60UNjIPWGj1JmkmAa-VC7OCFmqYF56IYio29T3tyYjzJU-4sOt5ZqpUPBiR/s640/David+Butler+2.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/DavidKButlerUoA/status/1302349517698641920">https://twitter.com/DavidKButlerUoA/status/1302349517698641920</a></td></tr>
</tbody></table>
<a href="https://twitter.com/shskaercher"><br />Mark Kaercher</a> shares an idea for using the Desmos graphing calculator to teach students to solve multi-step equations. As long as the graph doesn't change, they have done a valid operation to both sides of the equation. Brilliant!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6iTPXac0FR4F3JWyIS07f8DL6-WhWiZbAvyXQMEPo2luXx6937qc7VceeA9FYVJRlfTyze5l4PVpCGswKNdYKTWb4hTpq2vatRAMr8D9a0X8EY8T4LKsmr40S9LLYMHDDNy9sRi-Dn-TD/s1600/Mark+Kaercher.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="711" data-original-width="773" height="588" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6iTPXac0FR4F3JWyIS07f8DL6-WhWiZbAvyXQMEPo2luXx6937qc7VceeA9FYVJRlfTyze5l4PVpCGswKNdYKTWb4hTpq2vatRAMr8D9a0X8EY8T4LKsmr40S9LLYMHDDNy9sRi-Dn-TD/s640/Mark+Kaercher.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/shskaercher/status/1303809584277139456">https://twitter.com/shskaercher/status/1303809584277139456</a></td></tr>
</tbody></table>
<a href="https://twitter.com/aleaglen">Alyson Eaglen</a> highlights an excellent breakout room structure from <a href="https://twitter.com/USUKteacher">Miranda Lambourne</a> that incorporates some math history into the classroom in a fun way.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-IUG9YPCiEJRhVE47AlEQAza1ranPrRUoufpHrqhhrEnOxBVw9zeQ-Mc41qbCJJbIoPVu2pSkWIUeoVMLAC0gfK0hPHV10XgqTZxu2Tz6M_kXMsMergXXkmOUuCSY4shoSREg2zz_lzxa/s1600/Alyson+Eaglen.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="613" data-original-width="874" height="448" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-IUG9YPCiEJRhVE47AlEQAza1ranPrRUoufpHrqhhrEnOxBVw9zeQ-Mc41qbCJJbIoPVu2pSkWIUeoVMLAC0gfK0hPHV10XgqTZxu2Tz6M_kXMsMergXXkmOUuCSY4shoSREg2zz_lzxa/s640/Alyson+Eaglen.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/aleaglen/status/1303766868579278848">https://twitter.com/aleaglen/status/1303766868579278848</a></td></tr>
</tbody></table>
Want to teach your students to play SET? You MUST check out this <a href="https://teacher.desmos.com/activitybuilder/custom/5f50377b6927f22008f0bc3f">Desmos activity</a> from <a href="https://twitter.com/g_brgmn">Greta Bergman</a>. It is AMAZING.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbC15x_arY7RhGtuqkt_FBmFd2YrDUtQa55SrPJIT5diUla-bjdYRMLoQxKFpil7_LG-HCmogUGkajRP6UT-j4V2SsRuXdVAO5Bw138tHwXU44eWcM1Czsh0bAfwdA-F9CvSp1-LFnEAUj/s1600/Greta+Bergman.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="315" data-original-width="881" height="228" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbC15x_arY7RhGtuqkt_FBmFd2YrDUtQa55SrPJIT5diUla-bjdYRMLoQxKFpil7_LG-HCmogUGkajRP6UT-j4V2SsRuXdVAO5Bw138tHwXU44eWcM1Czsh0bAfwdA-F9CvSp1-LFnEAUj/s640/Greta+Bergman.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/g_brgmn/status/1303120827773333513">https://twitter.com/g_brgmn/status/1303120827773333513</a></td></tr>
</tbody></table>
<a href="https://twitter.com/literallyjustq">Mr. Q</a> shares a great math find in a newspaper article from 1978. Can your students spot what is wrong with this alleged prime?<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-k6jZWW1RS4DfRVbW4hqXmr5cBnYlfogaMK2h3CIAsO8IBcdi8K9wedckhFXolRq6ZjK_hcBKdSbEyiYVqe9I0CmTbnmUMd7JsTyHbR-j6MENWpr4RgwrXoHuZcAMVlK8yLHjuBJyxnhv/s1600/Mr.+Q.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="614" data-original-width="880" height="446" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-k6jZWW1RS4DfRVbW4hqXmr5cBnYlfogaMK2h3CIAsO8IBcdi8K9wedckhFXolRq6ZjK_hcBKdSbEyiYVqe9I0CmTbnmUMd7JsTyHbR-j6MENWpr4RgwrXoHuZcAMVlK8yLHjuBJyxnhv/s640/Mr.+Q.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/literallyjustq/status/1303064490561470468">https://twitter.com/literallyjustq/status/1303064490561470468</a></td></tr>
</tbody></table>
<a href="https://twitter.com/TypeAMathLand">Anna Vance</a> shares some brilliant Google Classroom ideas in <a href="https://twitter.com/TypeAMathLand/status/1301595518007681024">this thread</a>. I am definitely stealing her idea of having a "Template" classroom. Be sure to check out the entire thread for even more awesomeness and examples.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgL95XSy7qAB_7GSUgItHsbsXlBq2RlyQNXeEI-0esQBTh6PcZgVVL_nHyd8l8ex3dazFf_QDNU8Ngx-eVVaOq1sWKBH7T1cY4TYiNt_sCVVvTu18gALzfiwLDKC6fRT4mAGO-FMoM0D9a-/s1600/Anna+Vance.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="490" data-original-width="723" height="432" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgL95XSy7qAB_7GSUgItHsbsXlBq2RlyQNXeEI-0esQBTh6PcZgVVL_nHyd8l8ex3dazFf_QDNU8Ngx-eVVaOq1sWKBH7T1cY4TYiNt_sCVVvTu18gALzfiwLDKC6fRT4mAGO-FMoM0D9a-/s640/Anna+Vance.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/TypeAMathLand/status/1301595518007681024">https://twitter.com/TypeAMathLand/status/1301595518007681024</a> </td></tr>
</tbody></table>
<a href="https://twitter.com/Miss_Klovekorn">Allyson Klovekorn</a> demonstrates how to use Jamboard to allow students to participate in a Which One Doesn't Blog (WODB) activity. The virtual sticky notes are an idea worth stealing/borrowing!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjm8VO728S_rF2c1Ciji5X7u_dv80ws1hGjvaYjYVvxUssM0VTEeTvi4Cv5BVKe2JsOhLztuzcPcs7vCUEBuu1MC_9KWn2TjMqU3kJseWXl33EmTeWe5NuUKjdMe-5h9THebLdaRMWMI0H8/s1600/Allyson+Klovekorn.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="513" data-original-width="732" height="448" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjm8VO728S_rF2c1Ciji5X7u_dv80ws1hGjvaYjYVvxUssM0VTEeTvi4Cv5BVKe2JsOhLztuzcPcs7vCUEBuu1MC_9KWn2TjMqU3kJseWXl33EmTeWe5NuUKjdMe-5h9THebLdaRMWMI0H8/s640/Allyson+Klovekorn.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/Miss_Klovekorn/status/1298349243397214208">https://twitter.com/Miss_Klovekorn/status/1298349243397214208</a></td></tr>
</tbody></table>
Looking to get your kids interacting on Zoom/Google Meet more? Check out this number scavenger hunt idea shared by <a href="https://twitter.com/cmmteach">Casey</a>. She claims she got the idea from someone else, but we're going to give her the credit for sharing it with all of us!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhl9V3DVIhm-81qJ7ntymY134pcByqtnX5aLzyjv12E5oolES1hnptudwCd5gH7Pl8PDowkTdPJhP0t2dhHiUPCHybIPJKMEP7eUYOBip5KRtkt8VbL3M3P-Txu5q87mLkE4HZzv2JQNb6e/s1600/Casey.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="720" data-original-width="746" height="616" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhl9V3DVIhm-81qJ7ntymY134pcByqtnX5aLzyjv12E5oolES1hnptudwCd5gH7Pl8PDowkTdPJhP0t2dhHiUPCHybIPJKMEP7eUYOBip5KRtkt8VbL3M3P-Txu5q87mLkE4HZzv2JQNb6e/s640/Casey.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/cmmteach/status/1298303747722903553">https://twitter.com/cmmteach/status/1298303747722903553</a></td></tr>
</tbody></table>
Looking for some interesting data to analyze? Check out <a href="https://twitter.com/TheErickLee">Erick Lee</a>'s latest data collection project involving grocery store receipts.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1bswyzmkTMEITxxtynaXbYil8xbhsD8ky3HGRYwl2hHhJ8hRXykgTBttrgSTxLymK9N9RJ6JH7JjVpvkQquHballzeDBlsPj7lGz8NlD-GCSZzshsF-77OhLNkC9cI5r6MIMWfHmcuwOR/s1600/Erick+Lee.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="491" data-original-width="743" height="422" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1bswyzmkTMEITxxtynaXbYil8xbhsD8ky3HGRYwl2hHhJ8hRXykgTBttrgSTxLymK9N9RJ6JH7JjVpvkQquHballzeDBlsPj7lGz8NlD-GCSZzshsF-77OhLNkC9cI5r6MIMWfHmcuwOR/s640/Erick+Lee.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/TheErickLee/status/1297193863925440513">https://twitter.com/TheErickLee/status/1297193863925440513</a></td></tr>
</tbody></table>
Love fun fonts? Love math? Check out <a href="http://erikdemaine.org/fonts/">this find</a> shared by <a href="https://twitter.com/algoritmic">algoritmic</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb7JMDsPGlv2mmxjUZsQfHMMmKHnRBE55wm_KrUeKtODQ5KwixEed3gjbFF2nOXXDLay5rXstLv2lenWrPZxghKqo-qkWO2TWD7QQmnZInVT9zxMwcLfetDIAveX3fm-l_CsO5_77jDW2n/s1600/algoritmic.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="466" data-original-width="734" height="406" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb7JMDsPGlv2mmxjUZsQfHMMmKHnRBE55wm_KrUeKtODQ5KwixEed3gjbFF2nOXXDLay5rXstLv2lenWrPZxghKqo-qkWO2TWD7QQmnZInVT9zxMwcLfetDIAveX3fm-l_CsO5_77jDW2n/s640/algoritmic.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/algoritmic/status/1293860862126628864">https://twitter.com/algoritmic/status/1293860862126628864</a></td></tr>
</tbody></table>
<a href="https://twitter.com/bikecoffeeteach">Liz Coleman</a> shares that the cooperative counting to 10 game works well via video-conferencing as well. Good to know!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5LgFXt1rQgGMtsYy5zBRatUpfSIdCe72ASE8oYgEhigCWd280SBRU7F3u5LDhedu9LYvXIGnedD_iSiFuJz_uOLRbu_z-SnP9z-MEFXSsMp8nST25dgUVI0Thyphenhyphen9ZX1nswmf-f8ZABkeFk/s1600/Liz+Coleman.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="142" data-original-width="729" height="124" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5LgFXt1rQgGMtsYy5zBRatUpfSIdCe72ASE8oYgEhigCWd280SBRU7F3u5LDhedu9LYvXIGnedD_iSiFuJz_uOLRbu_z-SnP9z-MEFXSsMp8nST25dgUVI0Thyphenhyphen9ZX1nswmf-f8ZABkeFk/s640/Liz+Coleman.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/bikecoffeeteach/status/1294435974236139521">https://twitter.com/bikecoffeeteach/status/1294435974236139521</a></td></tr>
</tbody></table>
Needing to rethink manipulatives this year? Check out this idea from <a href="https://twitter.com/MrsLaurenBohm">Lauren Bohm</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjf99Mma6NvyC6F7vGnTWuTBQcTfdIBGDnIuJ6YfyJGbRWlNppj8SCXZVcI3Ej6ErQBnM0qZZT6A8olL-zhyphenhyphend4oLZzH_d5KP3o5uSZaquliYCeKW0fVtzhc6uWv4z03ZzHOJ1YEasjbA_pM/s1600/Lauren+Bohm.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="518" data-original-width="731" height="452" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjf99Mma6NvyC6F7vGnTWuTBQcTfdIBGDnIuJ6YfyJGbRWlNppj8SCXZVcI3Ej6ErQBnM0qZZT6A8olL-zhyphenhyphend4oLZzH_d5KP3o5uSZaquliYCeKW0fVtzhc6uWv4z03ZzHOJ1YEasjbA_pM/s640/Lauren+Bohm.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MrsLaurenBohm/status/1292500055820312578">https://twitter.com/MrsLaurenBohm/status/1292500055820312578</a></td></tr>
</tbody></table>
Need an example of a bad graph? Check this one out - especially the edit from <a href="https://twitter.com/MissNeutrino">Miss Neutrino</a>!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiEDXv0gKGuFd-ufxUpuGaldSVlK8pEyCSyWKihaExvA-VqMLGBYjrx2ol6RMu3SHLzx0RwCj0-Krvc9o1g4iS-07t8Zfs2yDT6QvO8kVi3S8efDl4bbxXrQa75p9ekaEY6oVJY-dvcizno/s1600/Miss+Neutrino.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="823" data-original-width="622" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiEDXv0gKGuFd-ufxUpuGaldSVlK8pEyCSyWKihaExvA-VqMLGBYjrx2ol6RMu3SHLzx0RwCj0-Krvc9o1g4iS-07t8Zfs2yDT6QvO8kVi3S8efDl4bbxXrQa75p9ekaEY6oVJY-dvcizno/s640/Miss+Neutrino.PNG" width="482" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MissNeutrino/status/1291775584016769031">https://twitter.com/MissNeutrino/status/1291775584016769031</a></td></tr>
</tbody></table>
I'm glad that <a href="https://twitter.com/mathsjem">Jo Morgan</a> shared this old textbook find since I missed it the first time around.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSIbLbxNePzCP93FUPRy7GmRvTkrePd49aQS3hzu6xLecc5nyOZAgMQ52fy_eEX_dZHNasfVUHLH7FXziDxiinRsD_y3LlWnlNkb5I0UfFy-pQKrBr2dlLBJCELSEvMmFG05ClK0tuWVD-/s1600/Jo+Morgan.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="395" data-original-width="586" height="430" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSIbLbxNePzCP93FUPRy7GmRvTkrePd49aQS3hzu6xLecc5nyOZAgMQ52fy_eEX_dZHNasfVUHLH7FXziDxiinRsD_y3LlWnlNkb5I0UfFy-pQKrBr2dlLBJCELSEvMmFG05ClK0tuWVD-/s640/Jo+Morgan.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/mathsjem/status/1290014776236490752">https://twitter.com/mathsjem/status/1290014776236490752</a></td></tr>
</tbody></table>
I love this warm-up question from <a href="https://twitter.com/MrJohnRowe">John Rowe</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBxMAAM-ogo2r6_wFVPWkvfDOFOMx1IZkAQFBiTu1LuxD3grOLAND9ROz87QxEfLdp4st-Gd6rAq4KUvsOEyUdmBfy-NifYeVOXYGMaHEe2p9p9CILwnjkcCEBhVgSrOP56Q-PsWoQVtCi/s1600/John+Rowe.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="426" data-original-width="589" height="462" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBxMAAM-ogo2r6_wFVPWkvfDOFOMx1IZkAQFBiTu1LuxD3grOLAND9ROz87QxEfLdp4st-Gd6rAq4KUvsOEyUdmBfy-NifYeVOXYGMaHEe2p9p9CILwnjkcCEBhVgSrOP56Q-PsWoQVtCi/s640/John+Rowe.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MrJohnRowe/status/1288681780698968065">https://twitter.com/MrJohnRowe/status/1288681780698968065</a></td></tr>
</tbody></table>
<a href="https://twitter.com/MadelineGorley">Madeline Gorley</a> shares a great idea for helping students stay organized during this strange time of distance learning.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjibC1UhraRJkKcfzfHqA5p21iUUI_nmctpUDFV3F_4fbUQMJrbcYdsvON4lGgRmInevRTz3HExZ89R71xXUX4_vYoR51s-WxAANV0pScAmSVXKC6WUHSP75t2xp1tNkAlFYkbMFcQObWpV/s1600/Madeline+Gorley.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="415" data-original-width="591" height="449" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjibC1UhraRJkKcfzfHqA5p21iUUI_nmctpUDFV3F_4fbUQMJrbcYdsvON4lGgRmInevRTz3HExZ89R71xXUX4_vYoR51s-WxAANV0pScAmSVXKC6WUHSP75t2xp1tNkAlFYkbMFcQObWpV/s640/Madeline+Gorley.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MadelineGorley/status/1248655660788723712">https://twitter.com/MadelineGorley/status/1248655660788723712</a></td></tr>
</tbody></table>
Teaching calculus? Check out this Which One Doesn't Belong activity from <a href="https://twitter.com/howie_hua">Howie Hua</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN1-8YpLWKYTjdWI25h9I_0JaqRfnxwa6ABl4r7-Gbx8ewjwo9ev9k1k8nEKJcuY2hK5DJ7ndZHNxj4y-PHYuX8f2G0mCSrEXhTdEJ6FgtOqaYo3tbuuHzO667H_o2HVY8GaXcGe1-LsOR/s1600/Howie+Hua.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="474" data-original-width="596" height="508" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN1-8YpLWKYTjdWI25h9I_0JaqRfnxwa6ABl4r7-Gbx8ewjwo9ev9k1k8nEKJcuY2hK5DJ7ndZHNxj4y-PHYuX8f2G0mCSrEXhTdEJ6FgtOqaYo3tbuuHzO667H_o2HVY8GaXcGe1-LsOR/s640/Howie+Hua.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/howie_hua/status/1284632290107068416">https://twitter.com/howie_hua/status/1284632290107068416</a></td></tr>
</tbody></table>
Don't teach calculus? That's okay. <a href="https://twitter.com/howie_hua">Howie</a> also shares a great fraction task that might interest you.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhbRZUWujMWqE5vZyOpYH5l6OwgXYAs2DZ5MOyCbfcIWugmYgMP8cpqTMneyFCVnqCqqyzltYNaVXx4FJmnS7IgM1uO6vy5QRHAgB0Dbjx3D8T3ALGH4hG4Im2Toxl5oBFkTvyte-qMERG/s1600/Howie+Hua+2.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="455" data-original-width="598" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhbRZUWujMWqE5vZyOpYH5l6OwgXYAs2DZ5MOyCbfcIWugmYgMP8cpqTMneyFCVnqCqqyzltYNaVXx4FJmnS7IgM1uO6vy5QRHAgB0Dbjx3D8T3ALGH4hG4Im2Toxl5oBFkTvyte-qMERG/s1600/Howie+Hua+2.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/howie_hua/status/1281635544565313539">https://twitter.com/howie_hua/status/1281635544565313539</a></td></tr>
</tbody></table>
How cool is this hundreds table from <a href="https://twitter.com/MrsBpriSTEM">Emma Bothma</a>?!?<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7U0RKEyFnubaWksEazD1AdJMIr87FQHH0bEdvNBK_b-5-NgdGRLzSDvrNGLYN_6vJ4B2ZCU7c62-tYAKsTWv1UEmQfduNFnJs4ODqjNRAKmi5FjPcwH4YwUssUhM-mlPR1E9sVEoee5AT/s1600/Emma+Bothma.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="414" data-original-width="593" height="446" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7U0RKEyFnubaWksEazD1AdJMIr87FQHH0bEdvNBK_b-5-NgdGRLzSDvrNGLYN_6vJ4B2ZCU7c62-tYAKsTWv1UEmQfduNFnJs4ODqjNRAKmi5FjPcwH4YwUssUhM-mlPR1E9sVEoee5AT/s640/Emma+Bothma.PNG" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MrsBpriSTEM/status/1283728809561337856">https://twitter.com/MrsBpriSTEM/status/1283728809561337856</a></td></tr>
</tbody></table>
This columbus cube tower shared by <a href="https://twitter.com/AmyJCast">Amy Castle</a> looks like a fun origami project. I'm adding this to my list to make someday.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUoEXKFl3_rVsZrv206GuMXWXIfYdocoXy8NbmFxlbbDnL0N95TUipr7uhHLsF7FsMQwjtsn6n-rnK6RgeyxXD-XBqej195FqgjEtDdJsnfRyFgttgoiJX2TFSaVfZW-8-vHsZPJKbqUu8/s1600/Amy+Castle.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="390" data-original-width="583" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUoEXKFl3_rVsZrv206GuMXWXIfYdocoXy8NbmFxlbbDnL0N95TUipr7uhHLsF7FsMQwjtsn6n-rnK6RgeyxXD-XBqej195FqgjEtDdJsnfRyFgttgoiJX2TFSaVfZW-8-vHsZPJKbqUu8/s1600/Amy+Castle.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/AmyJCast/status/1283883192022433794">https://twitter.com/AmyJCast/status/1283883192022433794</a></td></tr>
</tbody></table>
<a href="https://twitter.com/KeithAnliker">Keith Anliker</a> shares an idea for using balloons in chemistry class.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgc1B-9iFWFzfNP9ABDj4_dbotPKrcTmuZhxAUeIIOuAF2T-wUMECGi7DL3EhjiHHZP9u4qvbINQNa6VBYybusieQJMT_tjsVvUpCYuahPvyFXUqDMoTFjSZdAva3rRHZwpbHrbsHOm6ZO2/s1600/Keith+Anliker.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="434" data-original-width="585" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgc1B-9iFWFzfNP9ABDj4_dbotPKrcTmuZhxAUeIIOuAF2T-wUMECGi7DL3EhjiHHZP9u4qvbINQNa6VBYybusieQJMT_tjsVvUpCYuahPvyFXUqDMoTFjSZdAva3rRHZwpbHrbsHOm6ZO2/s1600/Keith+Anliker.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/KeithAnliker/status/1283498408175534081">https://twitter.com/KeithAnliker/status/1283498408175534081</a></td></tr>
</tbody></table>
<a href="https://twitter.com/jshmtn">Jshm</a> shares a lovely scientific notation task.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbfkzKYmNYdDgDG4_payjHng_qUFT9vXqz6NGystg9NyzGsexKLFLUj4kIlIX71Gmgpc4ouh-jtRJ9MLNT_Hg7grB50a2ZPq8Wf1kk_DkMgCTbSNKMB0CqTbW8VDLHdPOpq6v16YDIHtN2/s1600/Jshm.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="356" data-original-width="589" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbfkzKYmNYdDgDG4_payjHng_qUFT9vXqz6NGystg9NyzGsexKLFLUj4kIlIX71Gmgpc4ouh-jtRJ9MLNT_Hg7grB50a2ZPq8Wf1kk_DkMgCTbSNKMB0CqTbW8VDLHdPOpq6v16YDIHtN2/s1600/Jshm.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/jshmtn/status/1283295364880257024">https://twitter.com/jshmtn/status/1283295364880257024</a></td></tr>
</tbody></table>
<a href="https://twitter.com/alittlestats">Amy Hogan</a> shares a statistical valentine.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlASf5CJutM_PEpGEUJqi3uwRu9Mu97-McE3zuOkXEZK4A_pymFmc4XC3-_CZ0-ROohLEpyp27S_CbZJ2boQKoZ91IkxeIPe7M7OvExP4_7OToIubuHS-F9JSV8_enkQluxeo3oatMpTDa/s1600/Amy+Hogan.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="374" data-original-width="584" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlASf5CJutM_PEpGEUJqi3uwRu9Mu97-McE3zuOkXEZK4A_pymFmc4XC3-_CZ0-ROohLEpyp27S_CbZJ2boQKoZ91IkxeIPe7M7OvExP4_7OToIubuHS-F9JSV8_enkQluxeo3oatMpTDa/s1600/Amy+Hogan.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/alittlestats/status/1228083615881482241">https://twitter.com/alittlestats/status/1228083615881482241</a></td></tr>
</tbody></table>
Can you tell how long it's been since I've done a Monday Must Reads post. Here's another Valentine's activity from <a href="https://twitter.com/MrsFitzMath">Nancy Fitzpatrick</a>. This one involves area of irregular objects.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRKEdnG55rlgAO86i5yrYeJI2S8bxzC7_7dYvkEGBA9qr-htdU1SXiAIrD8C1PCddau34MJju_C1Tetsb_kU1t4EichdxcyewJ7wxOJBCOvjQl8j7b7rqXhBXF7QEtmTV-oD1CuPjYmB4e/s1600/Nancy+Fitzpatrick.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="372" data-original-width="584" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRKEdnG55rlgAO86i5yrYeJI2S8bxzC7_7dYvkEGBA9qr-htdU1SXiAIrD8C1PCddau34MJju_C1Tetsb_kU1t4EichdxcyewJ7wxOJBCOvjQl8j7b7rqXhBXF7QEtmTV-oD1CuPjYmB4e/s1600/Nancy+Fitzpatrick.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MrsFitzMath/status/1227957585426493441">https://twitter.com/MrsFitzMath/status/1227957585426493441</a></td></tr>
</tbody></table>
I like this idea from <a href="https://twitter.com/mrs_nesrallah">Tracey Nesrallah</a> to survey students weekly about their favorite activity.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAsi6xlEAvA24rPBrboxOlLeH_XHB5VVAnJlKNt8qPbPzrVOZtLFiMCEkDYMrPvPlwwV68fWeel6ZuJF22gB0JHHUuRjY-KbWCNa_Pt8rB4Ao97TMNmpBoR4uXdgnVEjGArHwWYAf5_4ea/s1600/Tracey+Nesrallah.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="416" data-original-width="595" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAsi6xlEAvA24rPBrboxOlLeH_XHB5VVAnJlKNt8qPbPzrVOZtLFiMCEkDYMrPvPlwwV68fWeel6ZuJF22gB0JHHUuRjY-KbWCNa_Pt8rB4Ao97TMNmpBoR4uXdgnVEjGArHwWYAf5_4ea/s1600/Tracey+Nesrallah.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/mrs_nesrallah/status/1262454890963578880">https://twitter.com/mrs_nesrallah/status/1262454890963578880</a></td></tr>
</tbody></table>
<a href="https://twitter.com/CmonMattTHINK">Matt Enlow</a> shares an interesting function task.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjid16zGE-NcZjn1lbTWqF0sTjV6SlUCT_IwVtgW-V24WmSPqo2fT8GQ13G8o5dTZfEpunkNxF2rM1d8qdSFNReywGRcwwcpPuUJZ4kszsqMNi5B1fHDkcZeq9G7H42nUT5P4Qhm6eQrjaj/s1600/Matt+Enlow.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="395" data-original-width="593" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjid16zGE-NcZjn1lbTWqF0sTjV6SlUCT_IwVtgW-V24WmSPqo2fT8GQ13G8o5dTZfEpunkNxF2rM1d8qdSFNReywGRcwwcpPuUJZ4kszsqMNi5B1fHDkcZeq9G7H42nUT5P4Qhm6eQrjaj/s1600/Matt+Enlow.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/CmonMattTHINK/status/1262124404282216460">https://twitter.com/CmonMattTHINK/status/1262124404282216460</a></td></tr>
</tbody></table>
<a href="https://twitter.com/mathycathy">Cathy Yenca</a> shares a great idea for reusing a getting to know you activity at the end of the school year as well.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4qhxWvCQVe-xlek2uDIIvKgS-F5aE83GLcsZxDSLelVLhBX3_23N8S5wsr7j-BWZlCliGGoKaMJLN08YelhphQ6SX5kOUvpsDAxKG3B1XpdBcB0PaQV2DjY6jAWFb8vX-7wJAIk7YJ9Lj/s1600/Cathy+Yenca.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="469" data-original-width="597" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4qhxWvCQVe-xlek2uDIIvKgS-F5aE83GLcsZxDSLelVLhBX3_23N8S5wsr7j-BWZlCliGGoKaMJLN08YelhphQ6SX5kOUvpsDAxKG3B1XpdBcB0PaQV2DjY6jAWFb8vX-7wJAIk7YJ9Lj/s1600/Cathy+Yenca.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/mathycathy/status/1261325210126626816">https://twitter.com/mathycathy/status/1261325210126626816</a></td></tr>
</tbody></table>
I'm really liking this logarithm task from <a href="https://twitter.com/amcnabb3">Amy McNabb</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcc-ejOcTq8ol1oJwGwuLtFhEnJWPbZUz4Dma9PRVp-t_etBigwlXZVtZFaOV-ZXINJRiZ_V6WcKgLshs9QWTlZDeO95wj0bBkGcYD2Dh9EuRAi2h-He8vahpjfPwgv1sgV6l8Qn0L6ZiP/s1600/Amy+McNabb.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="841" data-original-width="554" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcc-ejOcTq8ol1oJwGwuLtFhEnJWPbZUz4Dma9PRVp-t_etBigwlXZVtZFaOV-ZXINJRiZ_V6WcKgLshs9QWTlZDeO95wj0bBkGcYD2Dh9EuRAi2h-He8vahpjfPwgv1sgV6l8Qn0L6ZiP/s1600/Amy+McNabb.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/amcnabb3/status/1256288901880254467">https://twitter.com/amcnabb3/status/1256288901880254467</a></td></tr>
</tbody></table>
Until next time, keep sharing your awesome ideas!<br />
<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0tag:blogger.com,1999:blog-1091979517567705761.post-55053871189277805412020-09-11T18:15:00.000-05:002020-09-11T18:15:33.995-05:00Five Tiny Wins<div class="separator" style="clear: both; text-align: left;">
It's Friday. I'm not really sure what day it actually feels like, but it definitely doesn't feel like a Friday. At the same time, I'm sooooooooooo thankful it is Friday because I'm experiencing a level of teacher exhaustion that I didn't really know existed. Seriously, I don't think I was this tired last year when I had a crying newborn who woke me up a million times a night.</div>
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Teaching math in the midst of a pandemic is definitely not for the faint of heart. Today I want to take a chance to focus on some tiny wins from the last couple of weeks. </div>
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<b>Win # 1: (More) Organized Baking Supplies</b></div>
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After thinking that I should label all my containers for years, I finally did it. I also splurged and bought a few new small containers to match the rest of my modular rubbermaid containers. So far, I'm using one for baking soda and one for salt. I'm not sure what to use the other two for yet, but it makes my heart happy that all the containers come up to the same height now. I originally bought my first set of these containers at Walmart, but it appears they have been largely discontinued. I had to order my newest containers from Ace Hardware of all places.<br />
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The labels aren't pinterest-worthy or anything, but because I used <a href="https://amzn.to/2ZuVbEy">freezer labels</a> (affiliate link) I can easily change out the labels if the contents change without any sticky residue left behind. And, now when I have people over and they want to help out in the kitchen they don't have to guess which container is flour and which is powdered sugar...<br />
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<b>Win #2: A Welcome Back Card</b><br />
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Inconveniently, I had to miss the third, fourth, fifth, and sixth days of school because my toddler decided to bring home some daycare germs (thankfully not COVID) and infect the entire family. Luckily, my district allowed me to work virtually from home for three of those days which meant I only had to use one sick day. But missing so many days of school right at the beginning of the year was very stressful and not at all ideal. One of my students (who I also taught last year) was so excited when I came back that she made me a little card. </div>
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<b>Win #3: Business Card Pockets</b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDwIZqXn4NIzmgG3cAOY-5RQ3EfUtJlM8Qy1geJhg671WIcTw1u0uED11TpXcjitF3awF16NYLdWrCP3la7_rY1KXgYK1F8FUmFtqQGiBDfDM9Giyjjm789TJCeX6s4YO9Fw42pNk4cZbY/s1600/IMG_20200829_113009716.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDwIZqXn4NIzmgG3cAOY-5RQ3EfUtJlM8Qy1geJhg671WIcTw1u0uED11TpXcjitF3awF16NYLdWrCP3la7_rY1KXgYK1F8FUmFtqQGiBDfDM9Giyjjm789TJCeX6s4YO9Fw42pNk4cZbY/s640/IMG_20200829_113009716.jpg" width="640" /></a></div>
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We were each given an Amazon gift card at the beginning of the school year to buy something for our classroom. I used part of mine to purchase <a href="https://amzn.to/2ZrcNAY">business card pockets</a> (affiliate link). I'll update you guys with pictures when I actually use them, but I've got big plans to organize my wall of cabinets in my classroom. My plan is to put an adhesive business card pocket on each cabinet door. Then, I will cut cardstock to business card size. This will let me slide in a label to each business card pocket that says what is stored in that cabinet.<br />
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<b>Win #4: Artful Math</b><br />
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My copies of <a href="https://twitter.com/c0mplexnumber">Clarissa Grandi</a>'s amazing Artful Math books arrived! She graciously sent me a copy of <a href="https://amzn.to/35oHGtT">The Artful Math Activity Book</a> (affiliate link) and <a href="https://amzn.to/3im33PX">The Artful Math Teacher Book</a> (also an affiliate link). I already got a digital sneak peek earlier this year, but I'm excited to dive in and make some beautiful math art. Hopefully things start to return to normal soon so I can start incorporating things like this into my classroom once again. </div>
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If you haven't checked out <a href="https://www.artfulmaths.com/">Clarissa's beautiful website, Artfulmaths.com</a>, stop everything and do it now. You will be blown away by her creativity! Also, you can get a free chapter of her book for joining her mailing list. Keep an eye out here for a full review of these books once I spend some more time making some math art! </div>
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<b>Win #5: Learning to FINALLY use my Crockpot</b></div>
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I'm FINALLY learning to use my crockpot. I've had it for years, but I have only ever used it a handful of times. I've decided that with all the craziness of this year that I owe it to myself to learn how to use it so I can make life easier on myself. I've been scouring recipe books and the internet for easy crockpot recipes. I'm hoping to gain enough confidence that I can start inventing my own recipes, but that's quite a way off in the future. </div>
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I decided to make my first crockpot meal of the school year on the first day of school. I was so paranoid that I would forget to put things in before I left for school, so I ended up setting my recipe binder and the crockpot out on the counter before I went to bed the night before. It worked! It was such a nice feeling to walk in our house after a long first day of school and smell dinner cooking away. I still had to boil a pot of pasta (and honestly - it took all my energy to get off the couch and make that pot of pasta), so I was super thankful that the rest of the meal was taken care of. </div>
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Being sick threw off my crockpot plans for the past couple of weeks, but I think I'll try a new recipe this coming week. </div>
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So, those are some of my tiny wins for the last few weeks.<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com4tag:blogger.com,1999:blog-1091979517567705761.post-69372842356124957812020-09-10T20:28:00.000-05:002020-09-10T20:28:51.259-05:00Sharing my Lesson Plan Book<div class="separator" style="clear: both; text-align: left;">
I got a ton of questions when I shared a sneak peek of my lesson plan book for this year. And I was even more shocked when several people asked if I could share the file I created. </div>
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Why was I shocked?</div>
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Confession time. I am not the greatest at lesson plans. Oh, I could crank out lesson plans when I was in college that would get me an A+ from my education professor. He required us to write out scripts for each lesson and add a million other things. A good lesson plan was at least ten pages. The thicker the stack of pages we turned in, the better. We all know that's not how lesson plans work in the real world. </div>
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Then, I started my first teaching job in a tiny rural town. We were told we had to turn in lesson plans, but we weren't given a template, instructions, or expectations. I got behind one week and didn't end up turning them in. My principal didn't say a word. He didn't say anything when I didn't turn them in the next week or the next week or the rest of the four years I worked for him. In fact, lesson plans were never really ever mentioned again. </div>
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Oh, I still technically lesson planned. I'd jot down plans on scraps of paper and never-ending to do lists. But, I didn't have that one book or piece of software where I recorded what happened in my classroom each and every day. </div>
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So, this is why I was shocked. Nobody should be looking to me for lesson plan advice. It's only been the past two plus years where I've actually kept up with a system where I make sure I write down what we do every single day for every single prep. </div>
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I've always thought I was alone in these struggles. I've tried the various online websites that promise to make lesson planning easy and painless. I always last about a week. One thing I've learned about myself is that I have to lesson plan on paper. </div>
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Before I jump into this year's lesson plan book, let's take a tiny peek at last year's book. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW0_vyrXB087JIhWxUHwT1j8cs1moMZoifwUv0njfQWwNsp5VC6F4HrtY_W8UfyinUBhRkK6IAwkZNSJ9VqPX9ba6CKtrQEfbML4lQxJPx-1C0aNvV44FKRC_TKHKbQlsgR7wK-2V3-0aa/s1600/IMG_20200817_094247735.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW0_vyrXB087JIhWxUHwT1j8cs1moMZoifwUv0njfQWwNsp5VC6F4HrtY_W8UfyinUBhRkK6IAwkZNSJ9VqPX9ba6CKtrQEfbML4lQxJPx-1C0aNvV44FKRC_TKHKbQlsgR7wK-2V3-0aa/s640/IMG_20200817_094247735.jpg" width="640" /></a></div>
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Last year, I used a binding machine to bind the book together. It lived on my desk, and I would try to make sure and update it at the end of each day with what we completed in each class that day. I will also write in notes of what went well, what didn't go well, and any extenuating circumstances that caused plans to go awry that I will need to remember when I look back at my lesson plans in the future. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFTaYYeolDZ60kuN_9pNwVwXv3H-XsGMVYK5K51f521FIuRDI41FDdpJbkGH_U8D-Ums9ty83WVxvXL8K50KnaIMrJ_usISrtjRFW9FnmeT-a5_HabAxBFa6g24Zw8Ye0zOeYMGndKWPtF/s1600/IMG_20200817_094427369.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFTaYYeolDZ60kuN_9pNwVwXv3H-XsGMVYK5K51f521FIuRDI41FDdpJbkGH_U8D-Ums9ty83WVxvXL8K50KnaIMrJ_usISrtjRFW9FnmeT-a5_HabAxBFa6g24Zw8Ye0zOeYMGndKWPtF/s640/IMG_20200817_094427369.jpg" width="640" /></a></div>
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For example, I wrote myself a note that I was recovering from a stomach bug one Monday so I would know why I took things pretty easy that day and didn't push my kids on to the next topic even though I probably should have. </div>
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If I haven't taught a lesson yet, it often lives on a sticky note in my lesson plan book. I do this because I really want my lesson plan book to be a record of what went on each day in my class, not an idealistic plan of what should have went on. We all know that those are two very different things. I guess I could write everything in pencil, but where's the fun in that? </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglRfi0jpdW7sl4fO3Kj8c6bQbhZ7-m4XUErmtXhKNf2f6y5x8zbKoSu1FohloAUHOB9WGRPDUVdVvJ7JZA5O8rzxUblPSe3ko74XWOFdoUkLt8_OSs5tHpRT8aPuQ8-QRntQ7slZaR8-ME/s1600/IMG_20200817_094302954.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglRfi0jpdW7sl4fO3Kj8c6bQbhZ7-m4XUErmtXhKNf2f6y5x8zbKoSu1FohloAUHOB9WGRPDUVdVvJ7JZA5O8rzxUblPSe3ko74XWOFdoUkLt8_OSs5tHpRT8aPuQ8-QRntQ7slZaR8-ME/s640/IMG_20200817_094302954.jpg" width="640" /></a></div>
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Last year, I used a bit of color-coding in my lesson plan book which you might have noticed. Each time I did a hands-on or interactive (possibly digital) activity, I highlighted it in yellow. This way, I could tell at a glance if I needed to up my game for the week. Too many days in a row of just doing notes and delta math or my math lab practice resulted in a very boring looking lesson plan book and a very boring math class as well. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSfrfDlGR_oSmrMOoIUq38amEXwe8hbmnEo62KsKBdbSM8BJcR7fv04HwTSZ3RACX4-bqr-QoWmWXjZDEcJN6yzIW-qO2m5UaB-BGIF73u7ZK06wmv3JVXSc1SYGJRtFatAKmPKMHbD9n-/s1600/IMG_20200817_094307998.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSfrfDlGR_oSmrMOoIUq38amEXwe8hbmnEo62KsKBdbSM8BJcR7fv04HwTSZ3RACX4-bqr-QoWmWXjZDEcJN6yzIW-qO2m5UaB-BGIF73u7ZK06wmv3JVXSc1SYGJRtFatAKmPKMHbD9n-/s640/IMG_20200817_094307998.jpg" width="640" /></a></div>
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I used a blue highlighter to mark when we did assessments. This worked pretty well. </div>
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This year I haven't done any color coding yet because I'm not entirely sure what I want to be tracking. I've had to trade in all my fun hands-on activities for digital activities. I can't highlight digital stuff because then I would just be highlighting everything I write... I'm definitely open to suggestions if anyone has any! </div>
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The last quarter of my lesson plan book is very sad thanks to everything being disrupted by COVID. The distance learning my school implemented in the spring was very sparse, and we were not allowed to teach any new content. Student grades were basically frozen (any new assignments could only help their grades), and as a result the number of students completing the distance learning work was quite depressing. We did department wide assignments which meant I had no lesson planning of my own to do. </div>
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My husband assured me that I would always remember why March, April, and May of 2020 were empty in my lesson plan book, but I went ahead and wrote "COVID" on the pages just be on the safe side. I am really hoping this worldwide pandemic thing is a distant memory soon. </div>
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For this year's lesson plan book, I kept the same basic layout as last year. I did end up making a few tweaks though. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQtLS9xvbM8wp0Zy2EwSClRtjw40UcxgShNgMS3mwuqqwbllVFdqDjntfiVgP3yiX-pOz3Z38m2IH9g59pt7emDGZrhf_x8429KA8Q-2-_jYVxZPsMlE-ZOdczJZRU6f6Dn_B92R-Dz4Bb/s1600/IMG_20200815_143859560.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQtLS9xvbM8wp0Zy2EwSClRtjw40UcxgShNgMS3mwuqqwbllVFdqDjntfiVgP3yiX-pOz3Z38m2IH9g59pt7emDGZrhf_x8429KA8Q-2-_jYVxZPsMlE-ZOdczJZRU6f6Dn_B92R-Dz4Bb/s640/IMG_20200815_143859560.jpg" width="640" /></a></div>
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My first tweak was to give my lesson plan book a math-y cover. I also changed up the fonts/coloring a tiny bit. Century Gothic is my current fave font. If you download my file to edit it for yourself, you'll need to make sure you have Century Gothic and Fredoka One installed on your computer.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIKhxrz6zbsEB3RWu7qLuMlIQVz3IVpOx8WTEaLpYSkEpj1UwRTPDHNnVNALZ_5OZRklkxkxqXbGfHtB4YEjioWZDJEB2VCBJhylgIj3Hv39qMT-su8YuSUZvWqFQzBxGLRoh1chbkjMlf/s1600/IMG_20200815_143907433.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIKhxrz6zbsEB3RWu7qLuMlIQVz3IVpOx8WTEaLpYSkEpj1UwRTPDHNnVNALZ_5OZRklkxkxqXbGfHtB4YEjioWZDJEB2VCBJhylgIj3Hv39qMT-su8YuSUZvWqFQzBxGLRoh1chbkjMlf/s640/IMG_20200815_143907433.jpg" width="640" /></a></div>
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I had a bit of time this summer where I wasn't sure what I wanted to do with the layout because my three preps had turned into two. But they turned back into three preps a couple of weeks before school started, so that problem fixed itself.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHj_xhaCJrgksesm7UKDljlK9tuyPYl85BPDPM8VeIxPSgLHNuBcYPXw641v81RLZOVSCQWglAie-blgUGuxLQfbCP-Ayy_OeAK64ZuudWGuzZ9OfvCoWtNW6G6g41yV-OoxFZwTz0Nm82/s1600/IMG_20200815_144712364.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHj_xhaCJrgksesm7UKDljlK9tuyPYl85BPDPM8VeIxPSgLHNuBcYPXw641v81RLZOVSCQWglAie-blgUGuxLQfbCP-Ayy_OeAK64ZuudWGuzZ9OfvCoWtNW6G6g41yV-OoxFZwTz0Nm82/s640/IMG_20200815_144712364.jpg" width="640" /></a></div>
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Due to the fluid nature of things this year, I made a tough decision to not bind my lesson plan book with the binding machine. I loved having a book just dedicated to lesson planning that could live constantly on my desk. This year I ended up punching the lesson plan book with my <a href="https://amzn.to/3m764Ge">Staples Arc Punch</a> (affiliate link) and adding it to my disc bound planner. I did this because I could have to quarantine at any point in this school year. If I have to quarantine, I will want/need my lesson plan book with me at home. I didn't want to have to remember to bring it home with me everyday just in case I have to unexpectedly quarantine. I already take my disc bound planner to and from school each day, so adding it as a section in my planner means I will always have my lesson plan book with me.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjq7d8iJPE_dtOf6lZWhOyGoiqSZr7swVG0rbgxNdiMhtrVK11pV3FjbSVd5hDwKvPbfkASEcAJjpGlI_HI1RoEqpE8cCi0JSqAFJ_jmslupEolHa3HDqFfMToIZlc07BvjUDOjxQfRWPoJ/s1600/IMG_20200815_144719229.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjq7d8iJPE_dtOf6lZWhOyGoiqSZr7swVG0rbgxNdiMhtrVK11pV3FjbSVd5hDwKvPbfkASEcAJjpGlI_HI1RoEqpE8cCi0JSqAFJ_jmslupEolHa3HDqFfMToIZlc07BvjUDOjxQfRWPoJ/s640/IMG_20200815_144719229.jpg" width="640" /></a></div>
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I wanted to add a goal setting page for this school year. This left me with a random blank page that let me fit in a bit more beautiful math art!<br />
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I'll share my five goals for this year in another post.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4SHDG9bB01yurOcJFErjXh5tmp42YbmQ8RsGjeUC_r65MNjl_wVSwn4mb14D3wgJZro95tBrwpJLzyerxf4PpZ-yUvuJVut2wyHYC9ckRrUjRMsyUIc8n5AjF7HifCkxAQtafPVGCXG4x/s1600/IMG_20200815_144724301.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4SHDG9bB01yurOcJFErjXh5tmp42YbmQ8RsGjeUC_r65MNjl_wVSwn4mb14D3wgJZro95tBrwpJLzyerxf4PpZ-yUvuJVut2wyHYC9ckRrUjRMsyUIc8n5AjF7HifCkxAQtafPVGCXG4x/s640/IMG_20200815_144724301.jpg" width="640" /></a></div>
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The actual lesson plan pages look very much the same as last year with only one slight difference.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMnkHdUKv1QS-es6EHpM1nk9_lXzRQ9Sr_RrunW0ocA32qZ-sXJ7THCcNIvgnWmBGI18vsw2ewjcV0dBiO-UQLvF4z8mCY7WyIiEoxyGJiY-sRbk9cjLDeLJbYokUKesmW_3jG9dMVujPl/s1600/IMG_20200815_144732226.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMnkHdUKv1QS-es6EHpM1nk9_lXzRQ9Sr_RrunW0ocA32qZ-sXJ7THCcNIvgnWmBGI18vsw2ewjcV0dBiO-UQLvF4z8mCY7WyIiEoxyGJiY-sRbk9cjLDeLJbYokUKesmW_3jG9dMVujPl/s640/IMG_20200815_144732226.jpg" width="640" /></a></div>
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We are having students work from home on their chromebooks on each Monday (except the first monday of each semester) for the entire school year. We're referring to these as "Distance Learning Drill Days." We're face-to-face with the majority of our population (some students have opted for a fully virtual schedule), so this allows us to eliminate one day of exposure each week. It also allows us to practice learning virtually in case we have to pivot to fully virtual instruction at any time.<br />
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If you look at the photo above, you'll notice that Monday's boxes are shaded in gray. I did this to signify that students are working from home so I didn't have to write a note about that on every single week.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvj2digv2K68q-h2bpB5tv5R36DPXNRD0_1nMSHudrWRSGHFAoIqDV6ZbitWhy9D4cpcBxaRdFAxQHXY8dQ6_kpcbtu_uUlupcGScalPhh4VTp-sEMDAGGlONVsNHhRK5NSPzMZpROhM58/s1600/IMG_20200815_144753512.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvj2digv2K68q-h2bpB5tv5R36DPXNRD0_1nMSHudrWRSGHFAoIqDV6ZbitWhy9D4cpcBxaRdFAxQHXY8dQ6_kpcbtu_uUlupcGScalPhh4VTp-sEMDAGGlONVsNHhRK5NSPzMZpROhM58/s640/IMG_20200815_144753512.jpg" width="640" /></a></div>
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And, of course, I had to end with a bit more pretty math. If you're looking for awesome math clipart, I highly recommend checking out <a href="https://etc.usf.edu/clipart/galleries/722-mathematics">ClipArt ETC</a>. It is an AMAZING resource!</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_R9eALR2tm-aF7SUDCECPN76QTE4cbP6lMw6E5TGbk44hxUNG5WXVVZPJ930Q9kXloi_TOyzSFv2kOi26vbTB4FHheqhfQYNc8Md2e0e4fMVHI-VAyTmaQKuisYukCsh0YdlASLFWwRDa/s1600/IMG_20200819_085042700.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_R9eALR2tm-aF7SUDCECPN76QTE4cbP6lMw6E5TGbk44hxUNG5WXVVZPJ930Q9kXloi_TOyzSFv2kOi26vbTB4FHheqhfQYNc8Md2e0e4fMVHI-VAyTmaQKuisYukCsh0YdlASLFWwRDa/s640/IMG_20200819_085042700.jpg" width="640" /></a></div>
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I ended up adding a printout of our bell schedule to my lesson plan book as well. It has already proved very useful when I had to unexpectedly work from home last week for a few days.<br />
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To get a better idea of how I use my lesson plan book, here's a picture I snapped earlier this week. The lessons I have already taught were written in pen. The upcoming lessons are tentatively planned with post-it notes.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmXm1nxCVhFHD7RMYQZ8cxavgDvPe8dYVq56Lmt50bvIVOncfRj4WSKZ3OBOYBhxlYmLgANSjJEcPh2Oc8Uk0hjKGRyFM5U0cAJLy62QVKrfyvhAc4J1TSaKvzdZ8jrdAiD6CicLyMRHBL/s1600/IMG_20200908_151846270.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmXm1nxCVhFHD7RMYQZ8cxavgDvPe8dYVq56Lmt50bvIVOncfRj4WSKZ3OBOYBhxlYmLgANSjJEcPh2Oc8Uk0hjKGRyFM5U0cAJLy62QVKrfyvhAc4J1TSaKvzdZ8jrdAiD6CicLyMRHBL/s640/IMG_20200908_151846270.jpg" width="640" /></a></div>
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I added a giant paper clip so I could rapidly turn to the current week of lesson plans. This has proven very useful since I can't leave the book open to my lesson plans all the time since I still need to reference other things like my calendar. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhu3DEr6w0DUOds34kS3kpSp6KJ9JNQA7wF70tABryfblP2nx6lsCi_CVJZnWQwco5KA4OV54F4qV99QjHXl4ujzerUL0zeGUneck1Jwkpq3WB5VbMD92SgsqmAf3-3lkdvYTOSgfTm69r9/s1600/IMG_20200908_151859303.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhu3DEr6w0DUOds34kS3kpSp6KJ9JNQA7wF70tABryfblP2nx6lsCi_CVJZnWQwco5KA4OV54F4qV99QjHXl4ujzerUL0zeGUneck1Jwkpq3WB5VbMD92SgsqmAf3-3lkdvYTOSgfTm69r9/s640/IMG_20200908_151859303.jpg" width="640" /></a><br />
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A side effect of needing to do all our assignments digitally this year is that I'm really struggling with keeping track of what I have and haven't graded. In the past, most of my grading was motivated by the trays of papers waiting to be tackled. Every week or so, I would go into delta math or my math lab and add the last week or so's digital assignments to our online gradebook.<br />
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Now that everything is digital, I need a plan in place to keep track of what has and hasn't been graded. I've come up with a To Grade mini list that lives in my lesson plan book that seems to be helping me feel more on top of this.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWIxHFosvU5l-1KdCs6kfVvzEpmMGhdbQVN-7QYrEzn6BHbAzu_HNVwQIH40WjQCeV3s-VSF8-8TRIXU7AspNplofJ-3NbcS-lS_zEIcswJXxSJYoSB6Siq5Gw9rQjEma2zx9f5J0V0YPG/s1600/IMG_20200903_152216872.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWIxHFosvU5l-1KdCs6kfVvzEpmMGhdbQVN-7QYrEzn6BHbAzu_HNVwQIH40WjQCeV3s-VSF8-8TRIXU7AspNplofJ-3NbcS-lS_zEIcswJXxSJYoSB6Siq5Gw9rQjEma2zx9f5J0V0YPG/s640/IMG_20200903_152216872.jpg" width="640" /></a></div>
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I designed a simple page in Microsoft publisher that says "To Grade" at the top and then has a whole bunch of blank lines to fill out. I duplicated this so I have two columns of the same thing on the one sheet of paper.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-yra444zcd8iKRJ5vCrl4WmVNkfkfIP1QP9xLL6y7bCUGA7x8Yt3FWnJxWuSxL6Lifi_b70oluXUanZ9D44VjBMODhfw4d_o68xSRhWlXVmCM4scyFSb4OiGmsJzI_F8AQF7K65dpl6bP/s1600/IMG_20200903_152235441.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-yra444zcd8iKRJ5vCrl4WmVNkfkfIP1QP9xLL6y7bCUGA7x8Yt3FWnJxWuSxL6Lifi_b70oluXUanZ9D44VjBMODhfw4d_o68xSRhWlXVmCM4scyFSb4OiGmsJzI_F8AQF7K65dpl6bP/s640/IMG_20200903_152235441.jpg" width="640" /></a></div>
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I folded the sheet of paper in half (hot dog style) and punched it with my <a href="https://amzn.to/3m764Ge">arc punch</a> (affiliate link) to fit in my disc bound notebook. This lets me easily pop it in and out of my notebook as I need to.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHsxnRhs0hQisTUtZCaSKdli82rIRfzqON4sSjI8riE71Q1vYYVYDjiSxvUqSmD6NjeFWOavBSpDIvXxN1Y1CCnW2orME58PoqoJWLsCqLfR0xhpcdIZibwwKKOTV3Hv_TrcpPaGuBQBTp/s1600/IMG_20200908_151910745.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHsxnRhs0hQisTUtZCaSKdli82rIRfzqON4sSjI8riE71Q1vYYVYDjiSxvUqSmD6NjeFWOavBSpDIvXxN1Y1CCnW2orME58PoqoJWLsCqLfR0xhpcdIZibwwKKOTV3Hv_TrcpPaGuBQBTp/s640/IMG_20200908_151910745.jpg" width="480" /></a></div>
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Each time I write a new assignment or activity in my lesson plan book, I add a line to my "To Grade" list. Next to each entry, I add the hours of the day that correspond to that assignment. This really only applies to my Pre-Calculus classes since I teach Pre-Calculus 1st, 3rd, 5th, and 6th hour. This lets me mark off exactly which hours I have graded in case I get interrupted in the middle of grading.<br />
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As assignments are graded and entered into Power School (our online gradebook), I highlight the line on my list. Sometimes I opt not to put grades for various tasks into the gradebook. When this happens, I mark a line through the item to show that I am not grading it.<br />
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When the list gets too messy or too long, I can just pop it out and add a new list. I really like that the items are added in chronological order so I can tell exactly what I've been procrastinating the longest on. See that Desmos Getting to Know You assignment towards the top of my list? I decided today that I wasn't going to grade it but just read the responses. It was a relief to be able to just mark it out and remind myself that I don't have to grade EVERYTHING.<br />
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I have limited time and limited energy. I need to remember and respect that and not try to do ALL THE THINGS. I will be a better teacher, a better wife, a better mom, and a better person as a result.<br />
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If you've made it to the bottom of this post, you're either a mathequalslove super fan or you're looking for some free downloads. If it's the former, thank you! You guys are the reason that I keep blogging.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNwLgJMZIWXXwCkcL9XAhy3vSGCrAkwOoBeG7OcFOvnb2x3oE2C1U0zPp9D97kvaLKQKD0fTPKRQIkTyx7ab2OYt9fxtG8Vq9cMzJH_aEeMyb8mIIAMK5LAvIogrcmwGSap7X3N2WBnfN5/s1600/no+preps.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="493" data-original-width="756" height="417" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNwLgJMZIWXXwCkcL9XAhy3vSGCrAkwOoBeG7OcFOvnb2x3oE2C1U0zPp9D97kvaLKQKD0fTPKRQIkTyx7ab2OYt9fxtG8Vq9cMzJH_aEeMyb8mIIAMK5LAvIogrcmwGSap7X3N2WBnfN5/s640/no+preps.png" width="640" /></a></div>
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<b><a href="https://app.box.com/s/13c5ny5f0ztmllxosqop4kxwlzdmoxtr">Lesson Plan Book Download</a></b> (Microsoft Publisher)<br />
You will obviously need to edit this to fit you and your unique teaching situation. It's currently set up for three preps. You can use find and replace to change the names of all the preps at once. You'll also want to change the name on the cover, obviously. I've also added a version that has the prep names removed so you could handwrite them in yourself or use it for something that isn't even lesson plans. I could see labeling the sections as Before School, Planning Period, and After School and using it as a to do list book. If you need more pages, you can duplicate the last lesson plan page to make the dates extend as far as you need them to. Of course, you'll have to manually change the dates.<br />
Fonts Needed: Century Gothic, Fredoka One<br />
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<b><a href="https://app.box.com/s/70mlbbv5pvf6sowtu53leqo7xx4qpfbz">"To Grade" Notebook Insert Download</a></b> (Microsoft Publisher and PDF)<br />
Fonts Needed: Century Gothic<br />
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I hope you enjoy! Hopefully you gleaned at least one helpful tip or trick from this post.<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com2tag:blogger.com,1999:blog-1091979517567705761.post-87577569337016020682020-08-20T18:34:00.000-05:002020-08-20T18:34:16.624-05:00Digital Activities RepositoryI've been blogging for over nine years now. And, those nine years have been full of resource sharing. Now, it feels like the tables have turned with the pandemic. Instead of me sharing resources with you guys, I keep getting all these emails, DMs, tweets, etc full of links to virtual/digital versions of the activities I've blogged about over the years. This has been amazing, but I haven't done a very good job of organizing all these links. I especially haven't done a good job of sharing them. As a result, many of you are recreating the same activities over and over. So, I've decided to dedicate this blog post to sharing links to these digital versions of activities that have been shared with me. Hopefully this will save you some time and prevent someone from reinventing the wheel over and over again.<br />
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Have you digitized one of my activities? Send me a link, and I'll add it to the post! Mega thanks to everyone who has been creating activities and sharing them. I *think* I included all the links that people sent me. If I missed one of them, please send it again so I can include it.<br />
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<b>QUESTION STACKS</b><br />
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<a href="https://twitter.com/Nerd_QED">Farica Erwin</a> has created a <a href="https://www.nerdqed.com/post/digital-activities">page on her blog</a> that is chock full of digital question stacks. Thank you so much for sharing! Can we just bask in her amazing organization skills as well?!?<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfyBrUAjT_6AbYXAAJRtWXx8SoWCZvCXBsuDmVHJbb3EYgectqX3WOvThzow3c903m5tGfqghgtX-DDXKsBHwlsA_9e3Rty2OvwRpSY88UbFnSwFyEUNBouAb9T_HNTOXIBbJsQUXr7d8j/s1600/Question+Stacks.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="347" data-original-width="769" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfyBrUAjT_6AbYXAAJRtWXx8SoWCZvCXBsuDmVHJbb3EYgectqX3WOvThzow3c903m5tGfqghgtX-DDXKsBHwlsA_9e3Rty2OvwRpSY88UbFnSwFyEUNBouAb9T_HNTOXIBbJsQUXr7d8j/s400/Question+Stacks.png" width="400" /></a></div>
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While you're at it, check out her card sorts, too!<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEib_DXBiEGa53wLHi2nco4RbpVxuebX5lZBJvQ1RYoP0j6UjFlZJdVcZu1b4Zs5AKHafn0GKUJ8mxdp6ZG5RrvMdokXqRF01Csm9xcoa2oswMh9zurzxTsRo_2g9u6bO7t-aXQPxh9mw80G/s1600/Card+Sort.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="126" data-original-width="755" height="66" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEib_DXBiEGa53wLHi2nco4RbpVxuebX5lZBJvQ1RYoP0j6UjFlZJdVcZu1b4Zs5AKHafn0GKUJ8mxdp6ZG5RrvMdokXqRF01Csm9xcoa2oswMh9zurzxTsRo_2g9u6bO7t-aXQPxh9mw80G/s400/Card+Sort.png" width="400" /></a></div>
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<b>BUILDING POLYNOMIALS</b><br />
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<a href="https://twitter.com/MissMastalio">Liz Mastalio</a> has digitized my <a href="https://mathequalslove.blogspot.com/2018/03/building-polynomials-activity.html">Building Polynomials Activity</a>. Check out the digital version <a href="https://docs.google.com/presentation/d/1fqZg8AF62xx2msTF6Ootbkr6rET8R5O9Qiq-fuNmegE/copy">here</a> in Google Slides.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3pyHUjaMzrXCJqdtCbiDt7bv_A0G1hM0ChaSajwvcLiufzdbkcHYdUCq_KIhvrvEZ1hIRf5UewLe9q0ortF0VJYosiSzrOggjpb9iU4vsqBGaw5lucF3RcitN4dXoJKv0bI7Pml-7FLM/s1600/IMG_20180308_094604558.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" height="223" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3pyHUjaMzrXCJqdtCbiDt7bv_A0G1hM0ChaSajwvcLiufzdbkcHYdUCq_KIhvrvEZ1hIRf5UewLe9q0ortF0VJYosiSzrOggjpb9iU4vsqBGaw5lucF3RcitN4dXoJKv0bI7Pml-7FLM/s400/IMG_20180308_094604558.jpg" width="400" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9uIhZJnj4xGzTHJSei_ISo89M1Bv38iHQOGaG9L_Us87SkM4nVwBFHxHYy4vjrOuLqp6JsQ45PR9wnxu5dXXZfNQQvPDmUUHa6s19WzlQF7-It39VTwYkbpzC46dVtCNwryoCyjufdYq2/s1600/Building+Polynomials.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="437" data-original-width="910" height="190" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9uIhZJnj4xGzTHJSei_ISo89M1Bv38iHQOGaG9L_Us87SkM4nVwBFHxHYy4vjrOuLqp6JsQ45PR9wnxu5dXXZfNQQvPDmUUHa6s19WzlQF7-It39VTwYkbpzC46dVtCNwryoCyjufdYq2/s400/Building+Polynomials.png" width="400" /></a></div>
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<b>POLYNOMIAL DIVISION USING THE BOX METHOD</b><br />
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<a href="https://twitter.com/MissMastalio">Liz Mastalio</a> has also digitized this activity to help introduce students to the box method. If you want more information, check out my <a href="https://mathequalslove.blogspot.com/2019/02/dividing-polynomials-puzzle-using-box.html">original post here</a>. You can download Liz's <a href="https://docs.google.com/presentation/u/1/d/1jUMMIQOVp13J0zYZ55m9HbyEbO6NTjMVi9-hvFa_C94/copy">digital version here</a> in Google Slides.<br />
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<img height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgasX-rbAyQMfOUXPBbOPYGAExNUZph4AB7y-AyyXL72LI7W6FUYnkD2eoiYM7DWieRAPDKeU2XPdi5GDguMOiTIanbKFsMEkOyuidR94BVUmeUfj__2T_OloCywnRr9eokixxzix3weqTR/s400/IMG_20190115_095649014.jpg" width="400" /></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXJGzLHclfvnHaAM2wlbemoFK8RGTbf-ppwFpgIkyPFVt-SkZ9Ejx3OvFM6w-FE0O31vG-nmJvDE5toNtcPJKfl5KO4fuHDKql9CQ4NASa2kRxsKy4oKnuVKI0m25MAxkebE3XM4evoHj8/s1600/Dividing+Polynomials.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="428" data-original-width="1006" height="170" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXJGzLHclfvnHaAM2wlbemoFK8RGTbf-ppwFpgIkyPFVt-SkZ9Ejx3OvFM6w-FE0O31vG-nmJvDE5toNtcPJKfl5KO4fuHDKql9CQ4NASa2kRxsKy4oKnuVKI0m25MAxkebE3XM4evoHj8/s400/Dividing+Polynomials.png" width="400" /></a></div>
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<b>TWOS TO NINES CHALLENGES</b></div>
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One of my most popular blog posts is a beginning of school activity I put together a few years ago called the <a href="https://mathequalslove.blogspot.com/2018/08/twos-to-nines-challenges-aka-best-first.html">Twos to Nines Challenge</a>. </div>
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<img height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhER4LKQUXrAvVvdCoJLxwG2wi-TneydUVbyBOfxqlNgz4ASxmO_KRD2znFweZdLpBh3PT6wvpKgI2MFYi_iIpErtA7cYPgRjWQOq6i_Xv5xnBrYGfif8F4o2-yldLmZsP2C9Etx5ki_-p/s400/IMG_20180816_151542558.jpg" width="400" /></div>
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It has been turned into a Google Slides activity by <a href="https://twitter.com/MrsSmeenk">Meghan Smeenk</a>. Check it out <a href="https://docs.google.com/presentation/d/1h9gEGwLgDsriNnlaXbLzgoLHhh5BIl9WM3i3QJ_IUYQ/copy">here</a>. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJ06h_-OaWgVRcJ-XfMu5gOidPgTpzp-uVO0BWkAzSKMx427pcfyaEHjebRaL6rGPNwM55RspnDMPlhRighD7UWSot75HfKZKPir4JM43QF199CyUr102_k8qIFbiLmb8wAC2ZSmFjTX2a/s1600/Twos+Challenge.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="434" data-original-width="332" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJ06h_-OaWgVRcJ-XfMu5gOidPgTpzp-uVO0BWkAzSKMx427pcfyaEHjebRaL6rGPNwM55RspnDMPlhRighD7UWSot75HfKZKPir4JM43QF199CyUr102_k8qIFbiLmb8wAC2ZSmFjTX2a/s1600/Twos+Challenge.png" /></a></div>
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<a href="https://twitter.com/KellyRLove21">KellyLove</a> shares a slightly different <a href="https://docs.google.com/presentation/d/10B7aH_aDscaP1G1GQfhAdXJ-u0S7wcgNksv6BzDJfDE/edit#slide=id.g902d5bd7bf_0_45">Google Slides version</a>. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhorp0dYcUrbBRLrXYlE2xboUSDMgGFk2K4O5jliU__WpmpzAv651Rx0RREEDWYKOSPUUOJTkD3w3al4Ycm1EBEZBpLt98vvfUFM2sFBMp4KusfKz4bm5raidbYy5y794_0OinFAEED59If/s1600/Twos.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="443" data-original-width="579" height="244" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhorp0dYcUrbBRLrXYlE2xboUSDMgGFk2K4O5jliU__WpmpzAv651Rx0RREEDWYKOSPUUOJTkD3w3al4Ycm1EBEZBpLt98vvfUFM2sFBMp4KusfKz4bm5raidbYy5y794_0OinFAEED59If/s320/Twos.png" width="320" /></a></div>
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<a href="https://twitter.com/ScottMcEwen7">Scott McEwen</a> has created <a href="https://teacher.desmos.com/collection/5f369d963197e728c55fd58d">Desmos versions</a> of this activity as well. Each challenge is a separate Activity Builder. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkznM5XtHsRdFUmYyz9-YPBBATQNMjExM3egJ4fIBDqW6e6iYB-ZJXw9GsiK20ECzvXdOhyphenhyphenp1fmE1QOxzdUXcIa92qtDYi4UcFTqHaBCAAjmn9ySfCydR2apZEnm5TZcWWwV9XaiTVOqhZ/s1600/Twos+to+Nines.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="543" data-original-width="1147" height="302" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkznM5XtHsRdFUmYyz9-YPBBATQNMjExM3egJ4fIBDqW6e6iYB-ZJXw9GsiK20ECzvXdOhyphenhyphenp1fmE1QOxzdUXcIa92qtDYi4UcFTqHaBCAAjmn9ySfCydR2apZEnm5TZcWWwV9XaiTVOqhZ/s640/Twos+to+Nines.png" width="640" /></a></div>
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<b>NINE SQUARES</b></div>
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<a href="https://twitter.com/cathyg123">Cathy Gloade</a> has been busy at work creating digital versions of a ton of activities. Check out her entire collection including some from other sources <a href="https://drive.google.com/drive/folders/14PZLzmjlFtdan8bcT5WEp58BaS26nvo1">here</a>. You can read my original post about this activity <a href="https://mathequalslove.blogspot.com/2019/06/nine-squares-puzzle.html">here</a>. And, check out Cathy's Google Slides version <a href="https://docs.google.com/presentation/d/1ZL39YDu2RUXcXN_hDmDiByiUbc9wAGztIPcV1lbI2Ps/edit#slide=id.p">here</a>. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwmG_H6QU1UBzCIE37HEGNYcBuTqC5BSza8eZ4FKxWdna51C-zF8cy-umNz1XfNNaLW8NfflcHaKj25fCO6ScuGR4JFMGOHaogVg1pXHwVRMNPXKqfGF9R9TGgDUSDlH3h1paANz23jG-O/s1600/Nine+Squares.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="468" data-original-width="1062" height="280" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwmG_H6QU1UBzCIE37HEGNYcBuTqC5BSza8eZ4FKxWdna51C-zF8cy-umNz1XfNNaLW8NfflcHaKj25fCO6ScuGR4JFMGOHaogVg1pXHwVRMNPXKqfGF9R9TGgDUSDlH3h1paANz23jG-O/s640/Nine+Squares.png" width="640" /></a></div>
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<a href="https://twitter.com/ms_massey_math">Jennifer Massey</a> has also created and shared a <a href="https://docs.google.com/presentation/d/1cwmJd8It_uwbS5T8IqZyRfvN9Z4a5Us5DJPL5gvyp2o/edit#slide=id.p">version of the Nine Squares Puzzle</a>. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHDXUz-qBkghtOQgzyc1BlmpE_rbcdJeep2WJ4zMe0M4kuFr1EgvMZqrmaMMs9Xl6npHZAzcb7gGHFiJCpPK9KB5QPCaNXED_N2PDF6RlbxQtTDO-dCQzd19vMBF4v6lm4wp1SbqdY_eyI/s1600/Nine+Squares+V+2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="451" data-original-width="1000" height="288" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHDXUz-qBkghtOQgzyc1BlmpE_rbcdJeep2WJ4zMe0M4kuFr1EgvMZqrmaMMs9Xl6npHZAzcb7gGHFiJCpPK9KB5QPCaNXED_N2PDF6RlbxQtTDO-dCQzd19vMBF4v6lm4wp1SbqdY_eyI/s640/Nine+Squares+V+2.png" width="640" /></a></div>
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<a href="https://twitter.com/mathmrsbarney">Nicole Barney</a> has made a <a href="https://jamboard.google.com/d/1iu9IrFfj79qikkmfwmIPNHF4u2yK0EC3cj-IdsW3Rwg/viewer">Jamboard version of this activity</a>. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgGSawtTvD0H4Gm3dm7sHyK5GKYC35CoTaNDm9w1CVIq5j3CUYiv560vFkLXKv7mLPDZW5J-EawEZHFO_tl_LDFkkoHQEEpYRqidJdgLzIYHiETC3x4WiO7NbaHfGdzCG5fM8iPTADADom/s1600/Nine+Squares+Jamboard.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="531" data-original-width="942" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgGSawtTvD0H4Gm3dm7sHyK5GKYC35CoTaNDm9w1CVIq5j3CUYiv560vFkLXKv7mLPDZW5J-EawEZHFO_tl_LDFkkoHQEEpYRqidJdgLzIYHiETC3x4WiO7NbaHfGdzCG5fM8iPTADADom/s640/Nine+Squares+Jamboard.png" width="640" /></a></div>
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<b>MAKE IT EVEN</b></div>
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<a href="https://twitter.com/cathyg123">Cathy</a> has created a Google Slides version of <a href="https://mathequalslove.blogspot.com/2015/09/make-it-even-brain-teaser.html">Make It Even</a> as well. You can find Cathy's <a href="https://docs.google.com/presentation/d/1HLpCFYUMQPF2qM_ggwKavV0dMykozuNaVzRuXsmunmI/edit#slide=id.p">Google Slides version here</a>.<br />
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" width="640" /></div>
<br />
<b>TWELVE ENVELOPES PUZZLE</b><br />
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Another popular beginning of year blog post of mine is the <a href="https://mathequalslove.blogspot.com/2019/06/twelve-envelopes-puzzle-free-download.html">Twelve Envelopes Puzzle</a>.<br />
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<img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXLMmp9yxrbenJOx3Emz1zqYdI7zukvanCf2s-X2qCTheor8OlNw_y43KPNyNXdi4SFHoBJ_5laJ4rO96GNuG7WzZdJw_P2K7zEFUtvpBj4FwTxf7EgiySoxTkKxOOB6h3m27V6S4SnZ7w/s640/IMG_20190612_180906089.jpg" /><br />
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Check out <a href="https://twitter.com/cathyg123">Cathy</a>'s <a href="https://docs.google.com/presentation/d/1ZGdJ_IfkyD4zhcY6IlWi8OmmNhPMWVR0sFtenxnHd4M/edit#slide=id.g8fc9f7126f_0_0">Google Slides Version</a>.<br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjW8oC8cpjwh2HfyYlAWmn72-PRjjUaCdHuqB7c9ndQhLYdgdu35LoReSmGZyM5hqKaO-1lMDSFlPomGHjYO2VtHlHN68xvgrz6bHuKCdLBhj22KUzmIIHb8W7CQ4NXwzlTa8gUPg31h8Xr/s1600/Twelve+Envelopes.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="443" data-original-width="1081" height="262" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjW8oC8cpjwh2HfyYlAWmn72-PRjjUaCdHuqB7c9ndQhLYdgdu35LoReSmGZyM5hqKaO-1lMDSFlPomGHjYO2VtHlHN68xvgrz6bHuKCdLBhj22KUzmIIHb8W7CQ4NXwzlTa8gUPg31h8Xr/s640/Twelve+Envelopes.png" width="640" /></a></div>
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<a href="https://twitter.com/ScottMcEwen7">Scott McEwen</a> shared a <a href="https://teacher.desmos.com/activitybuilder/custom/5d0a4412c58c870e5d89a9b5">Desmos version of the 12 Envelopes Puzzle</a> with me as well. It's modified from a version created by Nathaniel Highstein.<br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjx-lYpkzoDj9dTQWzKu39h6hKLplVQJ9wjOBh6IO0Sms3kee4TjCi03SLZdapxaLjAgjZviHuylGvHoaFZido3Ay_ki74JorMmMkP2bhmEV1Eptbj-06pXyPIv0J2sb3BLQTvXs5nBu_qC/s1600/12+Envelopes+Desmos.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="323" data-original-width="1156" height="178" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjx-lYpkzoDj9dTQWzKu39h6hKLplVQJ9wjOBh6IO0Sms3kee4TjCi03SLZdapxaLjAgjZviHuylGvHoaFZido3Ay_ki74JorMmMkP2bhmEV1Eptbj-06pXyPIv0J2sb3BLQTvXs5nBu_qC/s640/12+Envelopes+Desmos.png" width="640" /></a></div>
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<br />
<b>SUM TO TWENTY</b><br />
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<div style="text-align: center;">
<img height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7biFdI2RZTmHTVCk0DCU8zMHd2OhCpducWyuaqLg-XkXReb15fJJBrkJAkwpJi-NWOfTBCBly1Nv_HgLb0EA8aS8-CymEUg1ocI9aKzfRyi_wgVsPW1-qeyo5wOhef2gVov3aMWWWTCs/s400/IMG_20180327_171309190.jpg" width="400" /></div>
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<a href="https://twitter.com/cathyg123">Cathy</a> has also converted my <a href="https://mathequalslove.blogspot.com/2018/03/sum-to-twenty-puzzle.html">Sum to Twenty Puzzle</a> to a <a href="https://docs.google.com/presentation/d/132vlST1e9TgCXP2tTU28yERC2lNqcdhJqh1zv6iwxpE/edit#slide=id.p">Google Slide Presentation</a>.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZorDB-yXYDASLhbtyeNJmqlrO9Oi2TsncBc-0snA9jpz8JHJZry43Yyey0cp-ReFnVrLcsbNalrYdXUzTDrZinQfqDEhe1jqDf_WPX22UzI1gcPQlIpNd9uZMvr_3vbya9zyzZLxlnp65/s1600/Sum+to+Twenty.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="440" data-original-width="697" height="404" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZorDB-yXYDASLhbtyeNJmqlrO9Oi2TsncBc-0snA9jpz8JHJZry43Yyey0cp-ReFnVrLcsbNalrYdXUzTDrZinQfqDEhe1jqDf_WPX22UzI1gcPQlIpNd9uZMvr_3vbya9zyzZLxlnp65/s640/Sum+to+Twenty.png" width="640" /></a></div>
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<a href="https://twitter.com/DanitaCForbes">Danita Forbes</a> has also created a <a href="https://docs.google.com/presentation/d/1i9J-tmOEDVGqGaA8-5tVMa7BOTwm_p1nUo9YuYo0hX4/edit#slide=id.p">version of this puzzle</a>.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioCn3kAX9t5TAronbosW6Owq_rMyQYnLNGS24_fiQpE7l126248UJZ1nyE_zj541D5ZKDxFwGoPfaJtVb_LGnH49liwC5rrdGn3dz36GIVhUfmNB0lRSEB4HmLD8DbuArzH-CMuIMTdDrK/s1600/Sum+to+Twenty+2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="405" data-original-width="503" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioCn3kAX9t5TAronbosW6Owq_rMyQYnLNGS24_fiQpE7l126248UJZ1nyE_zj541D5ZKDxFwGoPfaJtVb_LGnH49liwC5rrdGn3dz36GIVhUfmNB0lRSEB4HmLD8DbuArzH-CMuIMTdDrK/s1600/Sum+to+Twenty+2.png" /></a></div>
<br />
<b>PERFECT SQUARE PUZZLE</b><br />
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<div style="text-align: center;">
<img height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPbtSJW0lwg5nU50ctJW09zB636m_rljt2ot-kOShUHQ8pbr4f7uM_NDyhVXtw9XX2sqzCqnd02uYJSvtcfeRGf6dAGb63lVe1qQJ5YgWGlnnVi0gOz3slKQ4hIUE7hhhYJLHO6Sna/s400/IMG_20171016_085154487.jpg" width="400" /></div>
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Yup. We're still not done with <a href="https://twitter.com/cathyg123">Cathy's</a> awesomeness. She has also converted the <a href="https://mathequalslove.blogspot.com/2017/10/perfect-square-puzzle.html">Perfect Square Puzzle</a> to <a href="https://docs.google.com/presentation/d/1xVl8-ivmXhl9JJ-fKo6_Cd5X9z_sAo5qS-kGiQTmVKw/edit#slide=id.g902003ba57_0_6">Google Slides</a>.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPglR0L7ADrWVIjPgAStDX6pAKzG5pTDN44b4CGEsTIdpWXB5zvr_9bzAG5lIkp4gYV8cuaZN-e3-seUMW3vwVNFf9z8f82D57OFmBOi8XVIHzztl2Wc_AeqEEofswt49sgCj3oNSxxu3y/s1600/Perfect+Square+Puzzle.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="358" data-original-width="1078" height="212" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPglR0L7ADrWVIjPgAStDX6pAKzG5pTDN44b4CGEsTIdpWXB5zvr_9bzAG5lIkp4gYV8cuaZN-e3-seUMW3vwVNFf9z8f82D57OFmBOi8XVIHzztl2Wc_AeqEEofswt49sgCj3oNSxxu3y/s640/Perfect+Square+Puzzle.png" width="640" /></a></div>
<br />
<b>THAT'S LOGICAL PUZZLES</b><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinY9HZ8hF0w7coni8SRJecwQz7RU4UXeJgk07dlHrFIrBk0dm-iUYQYr4JgfM8E0n0eC8AhMOOuZoIOQe2I2xSFvqg-lK_YH4ZhctiihgFU_vWXy1jEdk0qhw-2nwJ4w2TuoB9DENp6pM/s1600/That%2527s+Logical+Puzzle+Book+2+Level+1.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="475" data-original-width="940" height="161" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinY9HZ8hF0w7coni8SRJecwQz7RU4UXeJgk07dlHrFIrBk0dm-iUYQYr4JgfM8E0n0eC8AhMOOuZoIOQe2I2xSFvqg-lK_YH4ZhctiihgFU_vWXy1jEdk0qhw-2nwJ4w2TuoB9DENp6pM/s320/That%2527s+Logical+Puzzle+Book+2+Level+1.PNG" width="320" /></a></div>
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I taught a Math Concepts class a few years ago for ninth graders who weren't ready for Algebra 1. One of my favorite ongoing activities we did was the <a href="https://mathequalslove.blogspot.com/2018/01/triangular-number-posters-and-thats.html">That's Logical Puzzles</a>. The book is out of print and hard to find, so I was super excited to see that <a href="https://twitter.com/MeganLudwinski">Megan Ludwinski</a> has made a <a href="https://docs.google.com/presentation/d/1hBR69BMWUUCy-NQGAofLqEuHMVL0jRODIm-BLd2RrpE/copy">Google Slides version of the puzzles</a>.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEipU28kekCymSzeCPVxKdMPJPydHI69YZiQ1S_F6IVnaZERmeXTXNWvmymv9KNix8y_e9LMySesnlbc_SZ44Tt9ENpV-iVbsnsD8cOPHrlGemvjFPOjgCknUq9BufdEcAiR8rzfftd98g2p/s1600/That%2527s+Logical.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="433" data-original-width="765" height="362" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEipU28kekCymSzeCPVxKdMPJPydHI69YZiQ1S_F6IVnaZERmeXTXNWvmymv9KNix8y_e9LMySesnlbc_SZ44Tt9ENpV-iVbsnsD8cOPHrlGemvjFPOjgCknUq9BufdEcAiR8rzfftd98g2p/s640/That%2527s+Logical.png" width="640" /></a></div>
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<b>BIG MAGIC</b><br />
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<div style="text-align: center;">
<img height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhs6wiBjJ-hAi6rHOKAyuAt9EeLHmHA38ssASDEb35eEFY50xwflcdMol4G5opSY0n-AJcUTzVR2YJqytoaurRw1J5YiQLKavjCMjYg7dw7rLcwxK3zbgEwBnxW7tZ2JVlpq0R8i4-hBi5m/s400/IMG_20190718_163524584.jpg" width="400" /></div>
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Last year, I shared a magic square puzzle called <a href="https://mathequalslove.blogspot.com/2019/07/big-magic-printable-magic-square-puzzle.html">Big Magic</a>. <a href="https://twitter.com/missrumphius">Tricia Stohr-Hunt</a> has turned it into a <a href="https://docs.google.com/presentation/d/18r-u66_A58TdxwxS8SXzrPTxbHkyIsxW7a-EZ6rRCoc/copy">Google Slides activity for you</a>.<br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVlo5W8BuiZgnbHyl8Y8qlsK-dIqWE4D6Mh4sdiwVVSc2R6PGVcHScTlzNDZSXak7aB5qAjVtVZUwcEO8U5gjgaAOvYk5PxQB61pCSzkY5hb2kXx0UbFHTqCvuDbLJmGvrbkKWbCuP2v7X/s1600/Big+Magic.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="439" data-original-width="759" height="370" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVlo5W8BuiZgnbHyl8Y8qlsK-dIqWE4D6Mh4sdiwVVSc2R6PGVcHScTlzNDZSXak7aB5qAjVtVZUwcEO8U5gjgaAOvYk5PxQB61pCSzkY5hb2kXx0UbFHTqCvuDbLJmGvrbkKWbCuP2v7X/s640/Big+Magic.png" width="640" /></a></div>
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<b>BUILD IT</b><br />
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<a href="https://twitter.com/bluecrabmath">Blue Crab Math</a> blew my mind when she created a virtual version of <a href="https://mathequalslove.blogspot.com/2016/08/day-three-rainbows-rules-cubes-and.html">Build It</a>!<br />
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<div style="text-align: center;">
<img height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj2fE8tuoBrzMy4skLu-yrtGoDq-bgzZ0tfYfNuOLx_TeYieG3TIp5MdRj8ppxSehh9RfESIQO1ziJS1ZrMC4i4s1yd_qllZ2WbnAYVerPwfsZoyPIBt9FVvdmLdP4H2WhuCvIh7mhTlJU/s400/IMG_20160824_130730025_HDR.jpg" width="400" /></div>
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Check out her Google Slides version <a href="https://drive.google.com/drive/folders/1Yi7b9UDXf5hLpbemYlvn00aVuytkX0mO">here</a>.<br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWwYOIq9TKxoxeWO34UgbNwGMFrtOoxWjOylOnuIIypjJb_Z8eT5bpgX71ApUDQKcIMAvAqEPLKVpIXDGSbbjDshruWKXC-GRCn0LWq1oeJfdM3jv6ZHXNCEZ4VeXI4EQEekdNvmDR-Wys/s1600/Build+It.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="447" data-original-width="792" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWwYOIq9TKxoxeWO34UgbNwGMFrtOoxWjOylOnuIIypjJb_Z8eT5bpgX71ApUDQKcIMAvAqEPLKVpIXDGSbbjDshruWKXC-GRCn0LWq1oeJfdM3jv6ZHXNCEZ4VeXI4EQEekdNvmDR-Wys/s640/Build+It.png" width="640" /></a></div>
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<b>5-4-3-2-1 CHALLENGE</b><br />
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I love doing the <a href="https://mathequalslove.blogspot.com/2016/10/the-5-4-3-2-1-challenge-from-will.html">5-4-3-2-1 Challenge</a> with dry erase pockets.<br />
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<div style="text-align: center;">
<img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhspyCsnY-DUO6G1XIXRSLrPKYZTmM-gl4PvuHanYm78eWuwwxZaCk3uiGsAQ8ZumcwJ04qmJkjAhXJ_E2jGGjVnhE5Ht_axKkH24sTsaKT4DXXxHDlHL1BsBIFsiv1nn1QYXjnC_6_BLWA/s640/5-4-3-2-1+Tracking+Sheet.PNG" /></div>
<a href="https://twitter.com/germanmathmama">Ms. Tish</a> has created a <a href="https://docs.google.com/spreadsheets/d/1_0e1xX9EomB7l5ZPBuxwrnBlt0A9d8EbYKkR4yyBGio/edit#gid=1801079355">Google Sheets version</a>.<br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgroiFTAr28xQYVP4cZ4trjCi2nqL0KvUTyooQ8bj_VUc-l627uujF2Ji4CnZt7gGNL-PpCYwvB3wilL8BIBD6ZvgLy1EJwmUZAURT8qoNCznxEz8LYz1G1IPsXh-7g6TEfzQSEpMd3ssWA/s1600/54321.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="403" data-original-width="606" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgroiFTAr28xQYVP4cZ4trjCi2nqL0KvUTyooQ8bj_VUc-l627uujF2Ji4CnZt7gGNL-PpCYwvB3wilL8BIBD6ZvgLy1EJwmUZAURT8qoNCznxEz8LYz1G1IPsXh-7g6TEfzQSEpMd3ssWA/s1600/54321.png" /></a></div>
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<b>HIDDEN ANIMALS</b><br />
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So maybe this is cheating because it was already a digital activity. But I thought that it might be of interest to some of you since we are having to do so many things digitally now. Check out my Google Slides version of <a href="https://mathequalslove.blogspot.com/2019/02/hidden-animal-puzzlers-by-frank-tapson.html">Frank Tapson's Hidden Animals here</a>. Students are given a sentence in which they must locate the name of a hidden animal.<br />
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<div style="text-align: center;">
<img height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKvtdKU21PXHWHQudVtJFrrPF7JsvExoqtK6OaTsNafLGzxP5CHTIe2hEN92Id5gEG6pXtWBe383nTv-itTVkzSkJjITlkYnSyRUVbVv3R6oZClotuHnRhErzSdPsMGGxYhxhlvJDCOE31/s400/IMG_20181011_162120702.jpg" width="400" /></div>
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<img height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZRDfUqbOkUb9eoXDqyt97FQjqP4cONyVKEu-sSqD3y60vWkTfbRXrAr4xklfPSkrqkaiFd19-mN6bpLmBcC-gXPpRT7yGiCY_RdZZetBhJgx71P1QgHfZpuBXBmMVfvZCEZpmb_Mrzshg/s400/IMG_20181011_162132341.jpg" width="400" /></div>
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<b>8 STICKS PUZZLE</b><br />
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<div style="text-align: center;">
<img height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNw-KCdosPGeLgbKWFz4ESynVAFxQz5gJ2QOzMMlcFxBWSKBw0yy51w0xaENkNWrkjv3vzegwCu46HkGfDrG6hoLTzAOoXE8mUekygpSNCyZ83NKenuCpo7Hy8lPsoRvjfmNDM4aEjQMBR/s400/IMG_20200703_144854760.jpg" width="400" /></div>
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I blogged a few weeks ago about a Google Slides version I created for the 8 Sticks Puzzle. You can find it <a href="https://mathequalslove.blogspot.com/2020/08/8-sticks-puzzle-printable-version-and.html">here</a>.<br />
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<img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhk1KIalvfqRGeMyPwGVFyXBBBD0cjNV-yo8q8u6yqAsYzACV_uLczec8vRk8V4OxMjopnAwQasTvtkC60YaMpRdd5nvzA0HqaAKE6JSxFhh2MAgfeTPmdCmVY5eWr7d1n5UTsuWzy0LdFM/s640/8+Sticks+Puzzle+Google+Slides.png" /><br />
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<b>12 BASIC FUNCTIONS CHALLENGE</b><br />
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I created the <a href="https://mathequalslove.blogspot.com/2018/11/twelve-basic-functions-challenge-in-pre.html">12 Basic Functions Challenge</a> to expose my Pre-Calc students to a wide variety of parent functions.<br />
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<div style="text-align: center;">
<img height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnoBFz4wU3-Df8gN7hd6CtV5x9QJHIAvM8f0WX8JCEuDNFU33gd0LOfdbP0u6wVXxMxfhThYrory10qmFmS0x55cFMwC46vQ3WBzn2EyWV4FLw_Wcpsva2NkYuspHoH04xUkGKkzAnP_Cu/s400/IMG_20181025_142518981.jpg" width="400" /></div>
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<a href="https://twitter.com/hypertrig">@hypertrig</a> has created a digital version and is willing to share it. I don't have a shareable link, unfortunately.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8lnxott1AwOer6tiFJAJ2CPCvrqiZoSJnWlYT26N4aLg_Cp4P6mvsMHsZp4p8pudmj0QXWEDy7wU70Ar7iSnMykgJjOTHbZPBV5GNzssXcTKLElV9_V2fhXwuTov1n9iTTGn5xUph3mpw/s1600/Hypertrig+1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="522" data-original-width="402" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8lnxott1AwOer6tiFJAJ2CPCvrqiZoSJnWlYT26N4aLg_Cp4P6mvsMHsZp4p8pudmj0QXWEDy7wU70Ar7iSnMykgJjOTHbZPBV5GNzssXcTKLElV9_V2fhXwuTov1n9iTTGn5xUph3mpw/s400/Hypertrig+1.png" width="307" /></a></div>
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgA4IgeKgvFrB6RhG92eMTFE0vIwTJFSlAWm_E5Munrx_0aQgLcboLqpm5AKDaBWCu59qO-CNAy_MRr5WHo1y9DUL8Z4JslcOw5Ss7L0rTHsRXSj1ka8qe9FBGdiV9D8QLeH042c1DwaQgx/s1600/Hypertrig+2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="121" data-original-width="601" height="80" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgA4IgeKgvFrB6RhG92eMTFE0vIwTJFSlAWm_E5Munrx_0aQgLcboLqpm5AKDaBWCu59qO-CNAy_MRr5WHo1y9DUL8Z4JslcOw5Ss7L0rTHsRXSj1ka8qe9FBGdiV9D8QLeH042c1DwaQgx/s400/Hypertrig+2.png" width="400" /></a></div>
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<b>FACTORING MONIC QUADRATICS</b><br />
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Last year, I created a <a href="https://mathequalslove.blogspot.com/2020/08/8-sticks-puzzle-printable-version-and.html">factoring practice activity</a> where students had to match the factors with the monic quadratics.<br />
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<div style="text-align: center;">
<img height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIE_tIYb8s3ZunI5v_MQSNZWz9GzhUD2h4vNupMfcnBjXUYHcoG5LHldCiNfL6ULfgjtaXjL8igJq8c8IcJENANfGOCJnPcH1f6e9htxbgMm6Y5sg4tT9-WwQntFIcYMKwWimS5rz7jkMd/s400/Factoring+Monics+3.jpg" width="400" /></div>
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<a href="https://twitter.com/BethProvencal">Elizabeth Provencal</a> recreated it as a <a href="https://docs.google.com/presentation/d/1YcT-pLiGK2-ZgOIbZ50GeyvYjVHF8HrW_LttpdX9kQE/copy">Google Slide Drag and Drop Activity</a>.<br />
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<img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYJCYgGJrrb5PX00jq9BvZXQyCjMKpTm50M8K0Cqsv1YCXy5ioiJyQYaUukar0BrEocq0AfAickES7Mvn01C_l7UrLyPKE7COCOPcEOl5lhf5l7fWIHXK_YAPjJ0Z0RFc7BuUgGDo5Bbpb/s640/Elizabeth+Provencal+Drag+and+Drop.png" /><br />
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<b>BLOCKO! </b><br />
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<a href="https://mathequalslove.blogspot.com/2017/04/blocko-game-for-practicing-experimental.html">Blocko</a> is one of my absolute favorite games to play with students when teaching probability.<br />
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<div style="text-align: center;">
<img height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn-SvIMAd7adQe1huzU-xJ85MDtpsQLntu216V0kUmyo-NwjhDSuFFXDeshPjBeOSQE4xjQerI5OubwTrsWAECfWGpeMxSS2Eyca5eK-05FDJLQks68PsXzauM7uOM4-L0zTBc24sk1rU/s400/IMG_20170419_125746915.jpg" width="400" /></div>
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<a href="https://twitter.com/MissMastalio">Liz Mastalio</a> created a <a href="https://docs.google.com/presentation/d/1myOpnh_69qVBkYKqhe4HnF1Mss7aphOe-PumO79UOeA/edit#slide=id.p">Google Slides version</a> for students to use as they play along.<br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjuEkFJ_PLrHZIkWm4jk6smLCSV4WGXku8Z29WYyz0zVPnA93BiKRPnTCRDgRGUuSw8wlJVMg7Y7-T2Aj__RRM5oioEN6LTaZAcJ5JWaJR9FcJ_B3oI4T89ugJ81rE2zTnUTO7XlKGdaOnU/s1600/Blocko.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjuEkFJ_PLrHZIkWm4jk6smLCSV4WGXku8Z29WYyz0zVPnA93BiKRPnTCRDgRGUuSw8wlJVMg7Y7-T2Aj__RRM5oioEN6LTaZAcJ5JWaJR9FcJ_B3oI4T89ugJ81rE2zTnUTO7XlKGdaOnU/s640/Blocko.jpg" width="480" /></a></div>
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Have more? Send them my way!<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0tag:blogger.com,1999:blog-1091979517567705761.post-82528120739109672492020-08-15T21:15:00.001-05:002020-08-15T21:15:43.541-05:00Back to School PrepThis year's back to school prep looks different than normal. If it were a normal school year, I would be spending the last week of summer laminating everything within sight. I would be spending as much time as possible in my classroom. Not this year.<br />
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Oh, I've got plenty to do. But, I've been waiting to find out for sure what I'm teaching this year before I do too much prep. And, I only found out my teaching schedule yesterday. This year I will be teaching 4 hours of Pre-Calculus/Trigonometry, 1 hour of Statistics (non-AP), and 1 hour of Algebra 2 (on-level).<br />
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<div class="separator" style="clear: both; text-align: center;">
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Today's big accomplishment was printing my lesson plan book for the year. This has been on my list for awhile, but I didn't want to press print until I actually saw the master schedule. And, I'm glad I waited since the Algebra 2 class was a bit of a surprise. I'm not too worried since it's a class I've taught the previous two years. Though, the strange circumstances of teaching in a pandemic means it will be like starting from scratch this year. I hope to do a bit of tweaking to my lesson plan book soon to make a shareable version in case anyone wants to print a copy for themselves. Be on the lookout for a future post about my lesson plan book!<br />
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What else have I been accomplishing lately regarding school?<br />
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I've decided I want to continue my puzzle of the week tradition. I'll be switching out my traditional magnetic puzzles with pieces to manipulate with puzzles that can be solved using your brain/pencil and paper. Since I have some students who will be in my classroom for the third year in a row, I want to remind them that the puzzle corner is a bit different now thanks to COVID restrictions. I'll be cutting apart these no touching signs, laminating them, and hanging them up. One is for the puzzle corner. I'm not sure where I'll use the other 3. Maybe my dry erase boards which have been used by students in the past???<br />
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Our bell schedule is changing this year since we have a traditional day bell schedule and a distance learning day bell schedule. I typed up the bell schedule in a nice font and printed a few copies on orange card stock.<br />
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I've been doing a bit of back to school shopping. I decided to trade in my traditional teacher tote bag from the last couple of years for a backpack. It will be interesting to see how I like it.<br />
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I also picked up a couple of new water bottles at Tuesday Morning while I was waiting on my new glasses to be ready at the eye doctor earlier this week. In the past, I've used plastic cups with straws that stick out the top to drink from in my classroom. The thought of COVID-19 flying through the air of my classroom has me too nervous to drink from a straw that has been exposed to classroom air all day long. So, I picked up these bottles which have a cover for the drinking spout which can be easily opened/closed without touching the spout. I never thought I would have so many crazy paranoid thoughts floating through my head while standing in the drink bottle aisle...<br />
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I do know that I need to make a real effort to stay hydrated this year. I find that I don't drink nearly enough when I am wearing a mask.<br />
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It's kinda hard to tell, but I had to turn my supply drawers in my classroom around so students can't access my class sets of markers, glue, scissors, rulers, calculators, etc. We are not allowed to share any supplies this year, but I don't exactly have a place to put all my large supply drawers. So I'm hoping that turning them around does the trick. Maybe I will cover the backs of the drawers with paper so students can't see the contents. Hmmm...<br />
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I also did some classroom decluttering and got ride of 5 chairs and two tables from my classroom. We have to have assigned seats this year, so I can't have students grabbing an extra chair and pulling it up to work with a group or set at the puzzle table. It's definitely going to be a strange year. But I'm excited to get to teach again. I haven't taught a proper math lesson since March, and I miss it dearly.<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com7tag:blogger.com,1999:blog-1091979517567705761.post-28052708128153278612020-08-10T19:00:00.000-05:002020-08-10T19:00:27.700-05:00Change of PlansWell, my Blaugust Challenge isn't exactly going to plan. I did really well and blogged for the first three days of August. Then, life happened. And, now it's August 10th. Oops.<br />
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There's been a bit of a change of plans since I last wrote a blog post. In my district, teachers were supposed to report August 6th, and students were to start classes on August 12th. Our student start date has since been pushed back to August 26th. As this change happened just days before we were to report back for PD days, there were some scheduled trainings that couldn't be rescheduled. As a result, it's been an even weirder back to school experience than I expected. But in this case, I think weird is actually good.<br />
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August 6th - Teacher PD Day<br />
August 7th - Teacher PD Day<br />
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August 8th - 23rd - SUMMER BREAK CONTINUES<br />
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August 24th - Teacher PD Day<br />
August 25th - Teacher PD Day<br />
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August 26th - School Starts!<br />
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It was really nice to get to catch up with my colleagues, have a few faculty meetings about what to expect for the upcoming school year, and get some much needed tech PD for our Edgenuity adoption. Now, we have two weeks off to digest all the new information, play around with the new technology, and wrap our head around the fact that we'll be starting back to school soon face-to-face.<br />
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When we do start back, we'll ease back into things with two more days of PD to discuss changes/specifics/new issues that have arose. Honestly, I could get used to doing something like this every year.<br />
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Today has been a day of important but not very noteworthy back to school prep.<br />
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My kiddo had an eye doctor appointment. I was relieved to be able to get this out of the way before school started. Thankfully, everything seems to be normal so far. I didn't get glasses until 8th grade, but I should have got them much sooner. My eyes have drastically different prescriptions which meant my brain trained itself to just use my good eye all the time, so no one ever realized that I needed glasses. We're trying to stay on top of things with the toddler, so it was a relief to hear that everything seems good so far.<br />
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I succeeded at buying a few more clothes. Let's just say my post-baby body and my pre-baby body are not the same. I got rid of a lot of stuff that didn't fit quite right anymore, and I've just recently started trying to fill in the missing pieces before school starts back up. It's not the easiest thing to do in the middle of a pandemic.<br />
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I also did a bit of baking that will hopefully make the start of the school year a bit smoother. I made a batch of blackberry muffins to put in the freezer. I wrap them individually in cling wrap, and they are perfect to toss in my lunch box for a quick snack during the day at school. I baked and froze a batch of banana bread muffins a couple of weeks ago, so I should be well stocked in the muffin department for awhile.<br />
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I also mixed up chocolate chip cookie dough to put in the freezer. This means fresh baked cookies during the school year when I have no time or energy to bake.<br />
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I bought freezer labels a few weeks ago on <a href="https://amzn.to/3kwh2UX">Amazon</a> (affiliate link), and I'm obsessed with labeleling EVERYTHING. The labels come off my rubbermaid containers without leaving any residue. And, I no longer have to wonder what's inside all my containers in the fridge and freezer OR how long it's been in there. I may or may not have been inspired by seeing all of the labeled containers inside the home kitchens of the Bon Appetit test kitchen employees earlier this summer before all the controversy happened.<br />
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One of my summer projects has been to organize my recipe binder. I've been keeping my tried and true recipes in a binder for almost two years now. Now, they are actually broken into categories that are labeled and have tabs.<br />
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Whenever I try a new recipe from a cookbook or the internet, I type it up in a template I made on my computer. I make sure I put the original source of the recipe so I know where things came from. Then, I print it out and place it in a sheet protector in the appropriate section of my recipe binder. I make notes on the recipe about how things turned out, things to do differently next time, or substitutions I tried. For example, I learned the hard way once when I substituted the brown sugar in my chocolate chip cookie recipe with white sugar on accident.<br />
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I like that I will be able to easily print all the recipes again to create almost a family recipe book of sorts to share with others or pass down to my kiddo in twenty years or so.<br />
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Okay, I guess that's enough rambling about baking and recipes and stuff that most of you probably don't care about at all. I better get off here anyway so I can tend to the buzzing dryer in the laundry room and the cranky toddler who is expecting dinner in the near future.<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com4tag:blogger.com,1999:blog-1091979517567705761.post-60270091799375276552020-08-03T16:50:00.002-05:002020-08-03T16:50:36.878-05:00Shifting my Perspective I started writing this as a blog post about how I've been working on cultivating healthy and productive habits in my life since school shut down in March. It turned into a rambling reflection on my morning walk and what I can take away from it and apply to the upcoming school year. While it's not exactly what I was going for, I guess it still means I have a blog post idea for tomorrow which will be Day 4 of the MTBoS Blaugust Blogging Challenge.<br />
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This morning I did NOT want to go for a walk. I wasn't feeling the greatest, but I'll spare you the details. Shaun even suggested at one point amidst my complaints about not feeling the best that I could go back to bed. My response? "But I already have my shoes on." Yes, I can be stubborn like that.<br />
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I convinced myself that I would just walk around the block a single time instead of my normal 1 mile loop of late. The weather was gorgeous, and our kiddo is always super calm (a stark difference from his constant energy the rest of the day) in the stroller. By the time I had made it to the stop sign at the end of our street, I decided that I might as well do my usual walking route. I was slow. Very slow. But, I did it. And at the end of the route, I decided to push myself a bit by tacking on that extra loop around the block that I'd originally set out to complete when I left the house.<br />
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Now, I am most definitely not an athlete. My crowning athletic achievement in life is running for twenty minutes without stopping once in the fifth grade. I wasn't athletic back then, either; I just wanted to impress my PE teacher. Yes, I was a teacher's pet, even in PE class. My gym teacher must not have acknowledged my efforts as much as I had hoped for back then. We did the twenty minute run once per quarter, and I ran less and less each time before giving up. If we were caught (gasp) walking during those twenty minutes, we had to sit in the middle of the gymnasium and watch all of the remaining runners finish.<br />
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Okay. Enough middle school memory sharing. As I finished my walk, Runkeeper proudly told me that this was my 15th fastest time. Super impressive, right? Maybe it would be if I'd used Runkeeper 50, 100, or 1000 times. Nope. I just checked. I've logged 19 activities. So, 15th fastest is really the same as saying "Almost your slowest time ever, Sarah!"<br />
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After I was back in the house and cleaned up, I went to check my email. Runkeeper was congratulating me on setting a new personal record. Wait...that doesn't make sense. I opened the email to see that I had set a record for farthest distance and longest duration. Why hadn't the app congratulated me about these accomplishments earlier when I had finished instead of applauding my "15th fastest time?"<br />
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So, why am I rambling on and on about my morning walk? And, what does this have to do with teaching math? I think there are definitely applications.<br />
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The app is built for runners. Athletes. Competitive people who are constantly pushing themselves to be better and faster.<br />
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I'm not a runner. I'm not an athlete. I'm just a mom of a toddler who is trying to get healthier. If you look at my speed today, I was a failure. I'm choosing to see myself as a winner instead. I won today when I got out of the house and told myself I was going to walk even if I stopped after a loop around the block. I won today when I got out of bed and put my running shoes on. I won today when I took literal steps toward building this habit of a healthy lifestyle.<br />
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I can't fault the app too much. In fact, I'm guilty of being stuck in a single mindset when it comes to thinking about back to school. I don't think it's fully set in that I go back to work this week. I don't think it's set in that I will have students in my classroom next week.<br />
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<img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrPRqTQtCAI2wSqFEOhZAvWVh93MR1e_KA72onTW2Fst6gLvRqzV49Nt0IsQt-otUGpYU-RKemTV16WSDlom1aHvmkFJuxHx7qRbDRNGO307GoA1aeYQSB249dROgSAqIQ-lWAar5TLTY7/s640/Lesson+Plan+Book+4.jpg" /><br />
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That amount of actual planning I have done is abysmal because I keep getting hung up on the fact that school will look so different. I'll be teaching face to face, but that will only last until students and staff start testing positive for COVID-19.<br />
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<img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPHN0Uvf0xFDaZLwcpaNq5sXcqQjqGSBiDQ540aJMyf_3dF24qgVb9Bi1a1lk6Cag_5Ui3QZ8w1tJB646I1IobQ-5WQr_0lU4P3hEPQVdNeKNJr5a87ccTC2CxfVE2zp6zJFoMSgY1rsZf/s640/Lesson+Plan+Book.jpg" /><br />
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For the past two years, I've made it a goal of mine each year to increase the number of hands-on/interactive activities that I do with my students. I highlight them in my lesson plan book in a certain color so at a glance I can see how well of a job I am doing engaging my students.<br />
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This has been my focus. It's how I grade myself when I think about whether I'm doing a good job in the classroom or not. For me, I'm an effective math teacher when my students are engaged with hands-on, minds-on activities. And while that phrase could describe a wide range of tasks, I have a very specific style of tasks that I have specialized in, My filing cabinets are full of laminated activities, dry erase activities, craft supplies, and manipulatives.<br />
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This year, those are a no go. Kids sitting in groups. Kids leaning in to look at the same set of laminated cards. Kids touching and manipulating the cards together to complete a matching task. Kids sharing a large dry erase board and a handful of markers. Kids coming up to my desk to get their group's work checked. Kids high fiving with excitement when they finally solve a tough problem. What I would have once described as an ideal day in my classroom now describes an ideal setting to spread COVID-19.<br />
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Just as I redefined my morning walk as a "win," I need to redefine what counts as a win in my classroom. This year, I won't be highlighting hands-on activities in my lesson plan book. To be honest, I'm not sure what I'll be highlighting. I think the best back to school prep I can do over the course of this new week is to shift my thinking and redefine what a winning day in my face-to-face classroom (or virtual classroom) will look like.<br />
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If you've put up with my rambling this for this long, I'm impressed. I present to you one imaginary gold star. I'll be back again tomorrow (with hopefully less rambling) to continue the Blaugust Challenge.<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com6tag:blogger.com,1999:blog-1091979517567705761.post-29135448879595869392020-08-02T19:08:00.000-05:002020-08-02T19:08:31.746-05:008 Sticks Puzzle - Printable Version and Google Slides VersionYesterday, I bemoaned the loss of my classroom puzzle corner. I've been trying to come up with some ways to keep incorporating puzzles in my classroom in a pandemic-friendly manner. My favorite puzzles are the ones with pieces that students can manipulate. This leaves me two options. I can shift to posting puzzles in my classroom that can be solved using only your mind. Alternatively, I can try to create virtual puzzles. I'm not thrilled with either path, but I think either of these options is better than no puzzles at all.<br />
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<img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIE_tIYb8s3ZunI5v_MQSNZWz9GzhUD2h4vNupMfcnBjXUYHcoG5LHldCiNfL6ULfgjtaXjL8igJq8c8IcJENANfGOCJnPcH1f6e9htxbgMm6Y5sg4tT9-WwQntFIcYMKwWimS5rz7jkMd/s640/Factoring+Monics+3.jpg" /><br />
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Yesterday, <a href="https://twitter.com/BethProvencal">Elizabeth Provencal</a> tweeted me to ask if she could recreate my <a href="https://mathequalslove.blogspot.com/2020/05/factoring-monic-quadratics-when-1.html">Factoring Monic Quadratics Activity</a> in Google Slides. Of course, I agreed.<br />
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When she tweeted the results, I was intrigued by the fact that her Google Slides link automatically created a copy in the user's google drive folder. Check it out yourself <a href="https://docs.google.com/presentation/d/1YcT-pLiGK2-ZgOIbZ50GeyvYjVHF8HrW_LttpdX9kQE/copy">here</a>. I started to think that this would be a useful thing to be able to do if I recreated some of my puzzles in Google Slides.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYJCYgGJrrb5PX00jq9BvZXQyCjMKpTm50M8K0Cqsv1YCXy5ioiJyQYaUukar0BrEocq0AfAickES7Mvn01C_l7UrLyPKE7COCOPcEOl5lhf5l7fWIHXK_YAPjJ0Z0RFc7BuUgGDo5Bbpb/s1600/Elizabeth+Provencal+Drag+and+Drop.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="409" data-original-width="1060" height="246" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYJCYgGJrrb5PX00jq9BvZXQyCjMKpTm50M8K0Cqsv1YCXy5ioiJyQYaUukar0BrEocq0AfAickES7Mvn01C_l7UrLyPKE7COCOPcEOl5lhf5l7fWIHXK_YAPjJ0Z0RFc7BuUgGDo5Bbpb/s640/Elizabeth+Provencal+Drag+and+Drop.png" width="640" /></a></div>
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Earlier this summer, I did manage to make one new puzzle for my classroom before realizing that there was no way I would be teaching in a classroom where my typical style of puzzles would be allowed any time soon.<br />
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The Eight Sticks Puzzle is from <i>Amusement in Mathematics</i> by Henry Ernest Dudeney. The book is available for free through <a href="http://www.gutenberg.org/files/16713/16713-h/16713-h.htm">Project Gutenberg</a>.<br />
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The puzzle: Arrange all eight sticks (four of them being exactly half the length of the others) to form three squares, all of the same size. The sticks may overlap, but there must be no loose ends hanging out.<br />
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Originally, it was worded "Arrange the eight sticks," but my husband tried solving the puzzle with only six of the sticks. So I changed the wording to "all eight sticks" to emphasize to students that they needed to use ALL the sticks.<br />
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To make my classroom version which I can't use, I just took a letter sized piece of paper and cut it up with my paper chopper.<br />
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With the paper in landscape orientation, I cut 6 one inch strips.<br />
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Then, I cut two of those one inch strips in half. This left me with eight sticks (four of them being exactly half the length of the others).<br />
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I will say this wasn't the easiest thing to do with only one hand since I was still in a cast from my hand surgery at this point in the summer.<br />
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I took the resulting eight strips of paper and placed them in a laminating sheet.<br />
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Then, I ran them through my trusty Scotch laminator (only $20 from Walmart!) before cutting them apart.<br />
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If school ever returns to normal, I plan on putting magnets on the back of the sticks so students can manipulate them easily. In the mean time, I guess I'll be trying to figure out how to incorporate my new Google Slides version of this puzzle. I'm not sure how effective it will be when used with students because I've never tried using anything like this with students.<br />
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And, honestly, I'm still not sure how to use it with students. With my magnetic puzzles, I never promoted them to students. They just noticed them on the wall and were instantly drawn in. With a puzzle on Google Slides, I have to be a bit more involved in getting students involved. Maybe I just post a link in Google Classroom on Mondays and see who bites? This is totally new territory for me. I welcome any and all ideas!<br />
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After some googling, I learned how to share a link to the puzzle that forces each user to make a copy to their own google drive. It turns out it's as easy as a quick edit to the URL that google gives you to share with others. Maybe everyone else already knows about this trick, but in case you're like me and didn't know how to share a document that always creates a new copy, here are the <a href="https://shakeuplearning.com/blog/force-users-to-make-a-copy-of-a-google-doc/">instructions</a>.<br />
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Here's the <a href="https://docs.google.com/presentation/d/1lPCAe433tVlScfZjEeWMvKHQzef4fG-r4SJjAnkJyJE/copy">link to download your own copy of my Google Slides version</a> of the 8 Sticks Puzzle. Want a download of the original instructions? You can download them <a href="https://app.box.com/s/7dkrtt9hk4e3tgty06m5380o645gv5i8">here</a>.<br />
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Now, I'm off to add my second sticker to my Blaugust Blogging Challenge Calendar. See you back here tomorrow with more thoughts about this upcoming crazy school year.<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com4tag:blogger.com,1999:blog-1091979517567705761.post-29529399691097110712020-08-01T16:03:00.000-05:002020-08-01T16:03:24.192-05:00#MTBoSBlaugust: Challenge AcceptedWhen I saw <a href="http://twitter.com/druinok">@druinok</a>'s tweet about her yearly #MTBoSBlaugust challenge this morning, I did a bit of a double take. August? How in the world is it August?!? Of course it is August. I had a doctor's appointment yesterday on July 31st. It naturally follows that today is August 1st, but I would say that I'm probably not alone in thinking that it doesn't really feel like the beginning of August. This pandemic has thrown off so many things, and one of the first to go was the sense of time passing normally.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJ3RVJgFjjOVE8txKtiXZzQ-tksQddmFP5nJ0idYiSC8rf2do8WdnGUnsEls0XNpVyqwfHMK4W2bexkzyCvVZg9_kx-PzkodV-tOk6dxPJ_z8jZSWj2fOfjCPSw2p6C3Aai1tLnNHuJDvG/s1600/Blaugust+Tweet.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="353" data-original-width="595" height="237" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJ3RVJgFjjOVE8txKtiXZzQ-tksQddmFP5nJ0idYiSC8rf2do8WdnGUnsEls0XNpVyqwfHMK4W2bexkzyCvVZg9_kx-PzkodV-tOk6dxPJ_z8jZSWj2fOfjCPSw2p6C3Aai1tLnNHuJDvG/s400/Blaugust+Tweet.png" width="400" /></a></div>
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Normally, August 1st means kicking my back to school prep into high gear. This year, I just don't feel like it. I won't be spending much time in my classroom before our professional development days start up. As a result of the pandemic, we're reporting back in person two days earlier than planned to allow for extra professional development and training to help us prepare for this very weird school year that is soon to start. On August 6th, I'll be back at work. To be honest, it hasn't really sunk in yet.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgI38TIbZ2HAgX0CSAVm-yz-LIZpXssIeTZAF2wOaLM9CfxE8MK8TjEaXReJw4EODcU1CWjjtJK51UDzOMv96Rw-RHQWgUDjBObGa7J9M9sOVDKnwRwv6_HOtx7FvVbpuJMCNlaG2M5obTi/s1600/IMG_20200512_130950344.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgI38TIbZ2HAgX0CSAVm-yz-LIZpXssIeTZAF2wOaLM9CfxE8MK8TjEaXReJw4EODcU1CWjjtJK51UDzOMv96Rw-RHQWgUDjBObGa7J9M9sOVDKnwRwv6_HOtx7FvVbpuJMCNlaG2M5obTi/s640/IMG_20200512_130950344.jpg" width="640" /></a></div>
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I haven't designed any new posters for my classroom this year. Instead, all the decorating I have planned is to rehang the handful of posters that have fallen down since March. Usually, I eagerly take down my posters at the end of each school year as I start to dream about the new decorations I will make over the summer. Not this year. When students report to my classroom on August 12th, they will see a room that looks very much like last year's classroom. And, that's okay. (In case you're curious, my district's current plan is to have students receiving face-to-face instruction four days a week.)<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSOC7DDv1ss64D_Pygd7k8QR-BFVOyYixWfV98PpSubipYvOwZaib4tuCuYAqu2Bdh9cMD12vq7DPBdx4baUWceEfvELYZaPWrdLSgypRRlx1O7Jv78On8t5iqEzEHKcyiBebAkNRVHUGK/s1600/Square+in+Square+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSOC7DDv1ss64D_Pygd7k8QR-BFVOyYixWfV98PpSubipYvOwZaib4tuCuYAqu2Bdh9cMD12vq7DPBdx4baUWceEfvELYZaPWrdLSgypRRlx1O7Jv78On8t5iqEzEHKcyiBebAkNRVHUGK/s400/Square+in+Square+1.jpg" width="300" /></a></div>
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I won't be carting boxes of newly laminated puzzles to school that I spent hours making this summer. If students aren't allowed to share a tub of colored pencils, they shouldn't also be touching the same puzzle pieces. The same goes for all my go-to math activities involving laminated cards. Back in May when I got to close out my classroom for the summer, I brought home my laminator and a heap of colored paper so I could start making new activities for the fall. That obviously didn't happen. The paper is still sitting in the floor of our guest bedroom, and I'm not excited about the prospect of carting reams and reams of paper back to school.<br />
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I never dreamed back in May that our virus numbers would be so much worse now. I used to be shocked when there were 100 new cases in Oklahoma on any given day. Now, we're excited when the number is under 1000.<br />
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I've spent the last 8 years in the classroom figuring out exactly who I am as a teacher. I'm the teacher with the super decorated math classroom. I'm the teacher with the puzzle corner. I'm the teacher with hands-on activities. I'm the teacher who loves coming up with creative ways to take notes. And, all of a sudden, these things that define me as a teacher have been violently yanked away. I'm worried that I don't know how to get kids excited about learning math without hands-on activities, groupwork, games, and puzzles.<br />
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Before I get to feeling too sorry for myself, I have to remind myself to keep things in perspective. I am blessed. I'm not fighting for my life in a hospital COVID unit right now. I have a job. I'm not worrying about how I'm going to feed my family right now. I am not alone in these feelings or these new circumstances. Twitter is full of amazing educators who are in the midst of figuring out all this stuff right now.<br />
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I saw someone post an image the other day that asked people to be patient with the schools this year because we are all first-year teachers this year. And, wow, do I feel like a first year teacher! I mentioned in my last post about my hand surgery that I was hoping to get back to blogging more. I can't thing of a better way to get back to blogging and get back to feeling excited about this job that I really do love than to participate in the #MTBoSBlaugust Challenge.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8vQdZ7p20q_lPrpYxI_QHFXCpHY8SAV6VzbWyW1JCwvAuUJBJwKiHQ_DuG9LnJNGoEpCNw-wpUwkpA_VDr8agsShtAME1DohG1oiHdHUvHwRRRhvxHIb_CY-yIZJpMxoR9fNIrSddVY5V/s1600/Blaugust+Calendar+Image.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="590" data-original-width="456" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8vQdZ7p20q_lPrpYxI_QHFXCpHY8SAV6VzbWyW1JCwvAuUJBJwKiHQ_DuG9LnJNGoEpCNw-wpUwkpA_VDr8agsShtAME1DohG1oiHdHUvHwRRRhvxHIb_CY-yIZJpMxoR9fNIrSddVY5V/s1600/Blaugust+Calendar+Image.png" /></a></div>
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If you want to join in and commit to blogging more this August, I thought I would share a free printable (<a href="https://app.box.com/s/nflq8dxii27xo87fa7i7f8f2owa9vy25">Link to Download</a>) I made to add to my planner to track my blog posts this month. My personal goal is to write a new blog post every day. Don't expect super polished posts of amazing, tried and true resources. These are very much going to be just me processing the world around and sharing what I'm learning. I added a space for you to write in your own goal. Maybe you want to just post once a week? Or maybe a goal of 5 or 10 blog posts? Make this challenge what YOU need. I look forward to following along with your posts no matter how often you choose to post! Just be sure to tweet them out with the <a href="https://twitter.com/search?q=%23MTBoSBlaugust&src=typeahead_click&f=live">#MTBoSBlaugust</a> hash tag so I can find them.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjh78JPZDBr2s2_XRdridiICBjLbQYB_sPzqPATTpmhXxvmeGKWllA9GJ71mckcMyFX3cx5HpFdrAXwKlte7WQcnPfHWo7KDHBcXzyvZIsc-Ax9UXsvdRSXgPnh-nTLSiMRka1PwVqsA3I2/s1600/IMG_20200801_144853312-01.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1022" data-original-width="1600" height="408" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjh78JPZDBr2s2_XRdridiICBjLbQYB_sPzqPATTpmhXxvmeGKWllA9GJ71mckcMyFX3cx5HpFdrAXwKlte7WQcnPfHWo7KDHBcXzyvZIsc-Ax9UXsvdRSXgPnh-nTLSiMRka1PwVqsA3I2/s640/IMG_20200801_144853312-01.jpeg" width="640" /></a></div>
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I cheated a bit and added my sticker for today's blog post before ever writing this post just so I could take a picture of the calendar for this blog post. I know it's probably cheesy, but I actually get really motivated by things as simple as getting to pick out a sticker to reward myself for a task. It also gives me an excuse to use up a bunch of random cheap stickers I bought a few years ago when I tried out a Passion Planner.<br />
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So, here's to a month of rambling blog posts while I try to rediscover in my passion for teaching math and my teacher identity in this world of pandemic teaching. I hope you'll join me!<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com4tag:blogger.com,1999:blog-1091979517567705761.post-28485007300589498892020-07-24T16:42:00.000-05:002020-07-24T16:42:31.979-05:00Life Lately...<div class="separator" style="clear: both; text-align: left;">
Hi there, strangers. It feels like it's been FOREVER. Life has been a bit on the crazy side, and it seems like blogging is the first thing to go when life loses a sense of normalcy. And, we all know that life hasn't been normal for quite some time now. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-6wdrCBFs6sJTRWFhe_dDohDN12GOa03eE1GracyQYt-YOV58n-jnhXqeAZkmw0twFiGHGOo_PYCI_Urn22kpPF6vdG3KtRP1Q_zUsmpD4NbGKVNnsr8wflvQ0MEcjYNTkZTNH62zb-d4/s1600/IMG_20200503_153656249.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-6wdrCBFs6sJTRWFhe_dDohDN12GOa03eE1GracyQYt-YOV58n-jnhXqeAZkmw0twFiGHGOo_PYCI_Urn22kpPF6vdG3KtRP1Q_zUsmpD4NbGKVNnsr8wflvQ0MEcjYNTkZTNH62zb-d4/s400/IMG_20200503_153656249.jpg" width="300" /></a></div>
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So, other than the fact that we're in the midst of a worldwide pandemic, what's been making life so crazy? It's a long story, and it all starts with cake. I present to you the world's most expensive birthday cake.</div>
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<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWmFUX4G-NkKivec2lcnyi30X5N_XDYi0wYUtU0P5wuxEwqGvj82V_asGMQSCkIjX0Ud4gdZ2Pzg4DMuuJgt2uBWMMz4wLb7CG0imjFCfWoydvmYjM04_WvRr6s0Rne59ulGSQU4gidGeB/s1600/IMG_20200603_223312758.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1600" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWmFUX4G-NkKivec2lcnyi30X5N_XDYi0wYUtU0P5wuxEwqGvj82V_asGMQSCkIjX0Ud4gdZ2Pzg4DMuuJgt2uBWMMz4wLb7CG0imjFCfWoydvmYjM04_WvRr6s0Rne59ulGSQU4gidGeB/s400/IMG_20200603_223312758.jpg" width="300" /></a></div>
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<span style="text-align: left;">When my husband requested sponge cake with jam and whipped cream for his birthday, I was happy to oblige. I love baking, and I was excited to try a new recipe. Instead of turning into the highlight of the day, the cake led to the worst birthday ever after I managed to break my finger after getting it a bit too close to the beaters on the hand mixer. Nothing quite says happy birthday like having to finish assembling and decorating your own birthday cake because your wife has broken her finger... </span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7LhmQ3dW4bm07Soc3tggdBgFxrV739u4mwUfUosWw7XYkQ4-8p4u8-qiSE2mBVKXvbu_1hvAzImPOzvjMUMu_wtnTicSABJ8K3q1n_lwoPfGhjNFbDkx_D6DyTTfqNWU_GZSsjMWTp-xy/s1600/IMG_20200612_083655550.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7LhmQ3dW4bm07Soc3tggdBgFxrV739u4mwUfUosWw7XYkQ4-8p4u8-qiSE2mBVKXvbu_1hvAzImPOzvjMUMu_wtnTicSABJ8K3q1n_lwoPfGhjNFbDkx_D6DyTTfqNWU_GZSsjMWTp-xy/s400/IMG_20200612_083655550.jpg" width="300" /></a></div>
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It was the type of accident that shouldn't have been a big deal. I felt so silly. How does a person break a bone making a birthday cake? A trip to urgent care the next day showed that my finger wasn't just broken. The bone was shattered. A visit to the orthopedic surgeon revealed that I had not only a broken finger requiring surgery but also an enchondroma, a (most likely) benign bone tumor. The bone tumor had been eating away at my bone and had weakened it so much that the incident with the beaters that should probably have just left me with a bad bruise had left me with a shattered finger. The nurse practitioner told me during my follow-up that my bone had turned to jelly where the tumor was. Gross... </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiKx9F7oS2A23pGmuF1n9s4OSUARvjJUgXpMSgElKLe8QDGHpgCJIWAjLdRL6UBVwzbdcpIuxFiIalEI8n_47iRWOiyp_9nhHTgc1hyUfvdgNPej-lCKF5rp20BRthU0bW7MDNXiJWaPS3/s1600/IMG_20200614_202722845.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiKx9F7oS2A23pGmuF1n9s4OSUARvjJUgXpMSgElKLe8QDGHpgCJIWAjLdRL6UBVwzbdcpIuxFiIalEI8n_47iRWOiyp_9nhHTgc1hyUfvdgNPej-lCKF5rp20BRthU0bW7MDNXiJWaPS3/s400/IMG_20200614_202722845.jpg" width="300" /></a></div>
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And, that's the story of how I ended up getting to experience not only my first broken bone but also my first surgery and first experience with anesthesia. Surgery went well, but the recovery was rougher than I expected with some weird side effects that lingered a few more days than I expected. I had to have a pin placed in my finger to stabilize all the tiny bone fragments. This wasn't too bad in and of itself. What was really inconvenient was being told by my doctor that I wasn't allowed to spend any time outside for the next month. Under no circumstances could I do anything where there was the risk of getting sweaty. This is not the thing you want to hear in June in Oklahoma. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHjtcO_4ZYQt8lcMV4AbTzadwdoreSL2XRReuwa4QW88ZmvLSfiEOe_lrxyspA96v64vSPdsAqMAPVW4UU9IyM74nVYoRv6YA-M2G2T5J5Ha-RPRCBMqPrMiW2Jru3YV1qEs2sT8R-7gDv/s1600/IMG_20200703_134907103.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHjtcO_4ZYQt8lcMV4AbTzadwdoreSL2XRReuwa4QW88ZmvLSfiEOe_lrxyspA96v64vSPdsAqMAPVW4UU9IyM74nVYoRv6YA-M2G2T5J5Ha-RPRCBMqPrMiW2Jru3YV1qEs2sT8R-7gDv/s320/IMG_20200703_134907103.jpg" width="320" /></a></div>
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I owe a great amount of thanks to my super amazing husband who stepped up and did all the diaper changes, all the bath times, and all the toddler outfit changes for an entire month while I was pretty useless with my arm in a cast. Three splints, one surgery, and two casts later, life is now starting to return to normal. I'm currently in hand therapy twice a week. I kinda underestimated just how hard it would be to move my finger following surgery and a month of not moving inside of a cast. </div>
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It's been interesting to see the various ways that math pops up in physical therapy. For example, at my first therapy appointment, they measured the amount of movement in my ring finger at 30 degrees. A week later, I had improved that number to 80 degrees. I'm always telling my students how much math is in the real world, but I sometimes forget what that actually looks like myself since the math I encounter on a daily basis is much more of a traditional textbook nature. </div>
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Now that school is starting back soon, you can plan on seeing me around much more on this blog and twitter. In my district, teachers return August 6th and students on August 12th. Here's to starting the craziest year yet of my teaching career. Hopefully it won't involve any more broken bones...</div>
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com11tag:blogger.com,1999:blog-1091979517567705761.post-10448299540842302322020-05-25T12:38:00.000-05:002020-05-25T12:38:12.487-05:00Square in Square PuzzleWhen looking through my camera roll, I recently found some pictures of a weekly magnetic puzzle that never made it up on the blog this school year. Imagine that...<br />
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The puzzle is called Square-in-Square, and it's a creation of the brilliant <a href="https://amzn.to/2ztdJLA">Peter Grabarchuk</a> (affiliate link).<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiaNoVcCc1D6g14bMiGKRQ-freR1xJITXMkcDH3OTNNIT-XsohmmVWsouQXPXXFv6_lw5KDQhrAgHfPyKPIkhRfm_4hqSWOqavHuZrB4zIHQF7Pc5kggpXXWF-zUGrgMM-3LNc6dyTpStjX/s1600/Square+in+Square+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiaNoVcCc1D6g14bMiGKRQ-freR1xJITXMkcDH3OTNNIT-XsohmmVWsouQXPXXFv6_lw5KDQhrAgHfPyKPIkhRfm_4hqSWOqavHuZrB4zIHQF7Pc5kggpXXWF-zUGrgMM-3LNc6dyTpStjX/s640/Square+in+Square+1.jpg" width="480" /></a></div>
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You are given sixteen rectangles. Among these rectangles, only two can be placed next to one another to form a perfect square with another perfect square depicted on it. Can you find the two pieces? Or will you be tricked by the fourteen imposter pieces?<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1EoDaasQfqMCiO9tBxlhAQKBkdBGBSFNNXE0icyHmU5w7oC6P3fe3LsDwt7yQ63ECGvme0Drz4_oHyKrIL74mqwCjL5khBIT_58b_HanYpF-YZQoCJxf93ahW-Q_1nRsh0JtUyVqpky5B/s1600/Square+in+Square+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1EoDaasQfqMCiO9tBxlhAQKBkdBGBSFNNXE0icyHmU5w7oC6P3fe3LsDwt7yQ63ECGvme0Drz4_oHyKrIL74mqwCjL5khBIT_58b_HanYpF-YZQoCJxf93ahW-Q_1nRsh0JtUyVqpky5B/s640/Square+in+Square+2.jpg" width="640" /></a></div>
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At the time I discovered this puzzle and typed it up for my classroom, it was available on Puzzles.com, one of my favorite online sources for puzzles. That website has since been bought out by a jigsaw puzzle company and turned into a website that redirects you to Amazon to sell you jigsaw puzzles. Thanks to Internet Archive, there is an <a href="https://web.archive.org/web/20190714084716/http://www.puzzles.com/Puzzleplayground/SquareInSquare/SquareInSquarePrintPlay.pdf">archived version of the website</a> I can point you to now. Want to browse the other free printable puzzles that used to be available, here's an <a href="https://web.archive.org/web/20190311204802/http://www.puzzles.com/PuzzlePlayground/PuzzlesHome.htm">archived link to the general collection of puzzles that used to be available</a>.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkeiIJ9E8mj3ShBZb8L9vRJ3PNiXoXBZH6n8GH18OlyeQkr8sngFKrQjcU9bSPvLA7huPEY0Qzl-CACxrQYX8vs4pEPJm3AVh7LhQUFtLSE2maO4J-_N7zS3C5b8lXZlFSVXR8Iv0nEadU/s1600/Square+in+Square+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkeiIJ9E8mj3ShBZb8L9vRJ3PNiXoXBZH6n8GH18OlyeQkr8sngFKrQjcU9bSPvLA7huPEY0Qzl-CACxrQYX8vs4pEPJm3AVh7LhQUFtLSE2maO4J-_N7zS3C5b8lXZlFSVXR8Iv0nEadU/s640/Square+in+Square+3.jpg" width="640" /></a></div>
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The only flaw I've found with using this puzzle both with a group of teachers at a presentation I gave last summer and with the students in my own classroom is that people don't read the instructions carefully enough. I've had multiple people try and pair up ALL the pieces instead of finding only the two pieces that actually pair up to form a perfect square in a square.<br />
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Want the printable version I typed up for my own classroom? You can download it <a href="https://app.box.com/s/b8gol2zcy730z8k726q03335fve5w84a">here</a>.<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com1tag:blogger.com,1999:blog-1091979517567705761.post-69829894231516115782020-05-23T20:31:00.000-05:002020-05-23T20:31:57.722-05:005 New Things I Tried in my Classroom this Year<div class="separator" style="clear: both; text-align: left;">
Every year I try what feels like a million new things in my classroom. Some are life changing. Others are just meh. I end up doing them one year and decide they weren't worth the effort/upkeep. Part of the problem of having a blog is that I often blog about all these ideas before I really know if they are classroom gamechangers or stupid ideas that turn out to be very impractical in the classroom. I frequently receive blog comments asking about something I blogged about during my first year of teaching that I haven't done since....well...my first year of teaching. I don't really know how to respond to these comments because this idea that the person is so excited about is to me a dud. </div>
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As I reflect back on this very weird school year, it got me thinking about which of the new ideas I tried that were worth keeping. So, I present to you: 5 New Things I Tried This Year (and am still excited about!) </div>
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1. CUBE TIMER</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjw-DBE8Otl2rQvZXVLKwIXQ0E2xTkLMpHyvGCWGLUMDAY-UYgiPZtacNS6icxwWd2a7CIf27EbmQAC4ueJThkgB5hsV9G6me4zkFlTnsMlYTypkQxdXg3jLDpvATnHPTlD-tIjEUQ0uWQe/s1600/Cube+Timer.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjw-DBE8Otl2rQvZXVLKwIXQ0E2xTkLMpHyvGCWGLUMDAY-UYgiPZtacNS6icxwWd2a7CIf27EbmQAC4ueJThkgB5hsV9G6me4zkFlTnsMlYTypkQxdXg3jLDpvATnHPTlD-tIjEUQ0uWQe/s640/Cube+Timer.jpg" width="640" /></a></div>
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One of my most-used new classroom tools this year was a <a href="https://amzn.to/2LSTPMz">cube timer</a> (affiliate link). I bought mine on clearance at Mardels, but you can find lots of different brands of them on <a href="https://amzn.to/2LSTPMz">Amazon</a> with different time amounts that will hopefully match how you plan on using it in the classroom. So, how does it work. Flip the cube so that the time facing up is the amount of time that you would like to set a timer for. A timer will automatically start. When the timer goes off, just flip the cube so the blank side is facing up again.<br />
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I did ACT practice as daily bellwork this year (something I definitely still need to blog about). On the ACT, students are given 60 minutes to complete 60 math problems. So I wanted to give my students practice trying to spend no more than 60 seconds on each day's bellwork. It was so easy to flip the timer cube at the beginning of each hour. I know I was way more consistent in timing my students this way than if I had tried to use my cell phone timer. Fun Fact: the timer cube I purchased was marketed towards people doing high intensity workouts. Ha ha ha. That's definitely not me.<br />
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2. MATH JOKE OF THE WEEK<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJMoZZXxW2-gc2Bm6XmANQ-LgkYFsAE5K511yCNjcrFROtwjyAaAXPuAxu63zAZI71BQ-LYUsgcTc4yFtIw_ZdnGwZe6rxSyZnvz6n-3geRcXft6I40psbt_szDDdwuUXraKz-Gs6f-4CT/s1600/Joke+of+the+Week.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJMoZZXxW2-gc2Bm6XmANQ-LgkYFsAE5K511yCNjcrFROtwjyAaAXPuAxu63zAZI71BQ-LYUsgcTc4yFtIw_ZdnGwZe6rxSyZnvz6n-3geRcXft6I40psbt_szDDdwuUXraKz-Gs6f-4CT/s640/Joke+of+the+Week.jpg" width="480" /></a></div>
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My students LOVED the <a href="https://mathequalslove.blogspot.com/2019/08/math-joke-of-week-posters-and-binder.html">math joke of the week</a> that I added to my classroom this year. Students would tell me how much they looked forward to coming into class on Mondays because it meant seeing a new joke. One student would wait for students to come into class, force them to read the math joke of the week, and then raise the flap with great fanfare. Still others would remind me when I had forgotten to change the joke out that week. Whenever they did this, I would give them the binder full of jokes (all of them already in sheet protectors to make the switch-out easy) and let them pick the next week's joke. This felt like such a privilege. They would flip through the jokes, laughing at each one, until they found the perfect joke.<br />
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This will definitely be an ongoing thing in my classroom going forward.<br />
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3. CUSTOM LESSON PLAN BOOK<br />
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My mom found a book <a href="https://amzn.to/2LTqDVF">binding machine</a> (affiliate link) at a thrift store about two years ago that I currently have borrowed. I used it this past summer to create a custom lesson plan book. It was completely worth the time and effort I put into making it if you ignore the fact that I only got to use 3/4 of the pages due to school shutting down for COVID-19.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiU_R4m20u627yXBH94EXiynxgi6N2Zy9uAOqcOvP8WOoW0SWldEqpiRVj7x9qV0GFN9uArniJPmYgKs97DqGRff8W-pvwxr21bgDJvALbXtErvckFmZaguMUFiwBpNwwuXYkDBUn42nbwn/s1600/Binding+Machine.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiU_R4m20u627yXBH94EXiynxgi6N2Zy9uAOqcOvP8WOoW0SWldEqpiRVj7x9qV0GFN9uArniJPmYgKs97DqGRff8W-pvwxr21bgDJvALbXtErvckFmZaguMUFiwBpNwwuXYkDBUn42nbwn/s640/Binding+Machine.jpg" width="640" /></a><br />
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The year before this past year, I used a planner I picked up at Big Lots as a lesson planner. It worked, but I got tired of writing in my subject names at the beginning of each week.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrPRqTQtCAI2wSqFEOhZAvWVh93MR1e_KA72onTW2Fst6gLvRqzV49Nt0IsQt-otUGpYU-RKemTV16WSDlom1aHvmkFJuxHx7qRbDRNGO307GoA1aeYQSB249dROgSAqIQ-lWAar5TLTY7/s1600/Lesson+Plan+Book+4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="900" data-original-width="1600" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrPRqTQtCAI2wSqFEOhZAvWVh93MR1e_KA72onTW2Fst6gLvRqzV49Nt0IsQt-otUGpYU-RKemTV16WSDlom1aHvmkFJuxHx7qRbDRNGO307GoA1aeYQSB249dROgSAqIQ-lWAar5TLTY7/s640/Lesson+Plan+Book+4.jpg" width="640" /></a></div>
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Last summer rolled around, and I decided I could make my own and have the subjects written in for the entire year. On top of that, I could customize it for our school calendar and mark out the days that we were out of school or had professional development.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPOdL3wVPxVmbtoDFjvHItLt8Bfv1hMkPgrP2EIGfBi67Oyq2rvg8udI_NuznYcGktFCLSa6lu5Qi5s9Z1j9R3gU0zAzdr3B6qXB547YvwXqGzCnz6rMw7-6FZPUKRyx71ZICU6ghhBf2W/s1600/Lesson+Plan+Book+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1024" data-original-width="818" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPOdL3wVPxVmbtoDFjvHItLt8Bfv1hMkPgrP2EIGfBi67Oyq2rvg8udI_NuznYcGktFCLSa6lu5Qi5s9Z1j9R3gU0zAzdr3B6qXB547YvwXqGzCnz6rMw7-6FZPUKRyx71ZICU6ghhBf2W/s320/Lesson+Plan+Book+3.jpg" width="255" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxtdpFBdEU0wdI04dXTQFr7SYFUT_xkdv84OQuz2mrdjto1FFYwdvGAUOK42tBeOVPdQsofHopU6ByhL2NdiSueI4cgMX6jiqGPRew-P5JWZG2XoHpV81Wx4Zqp0BBjgd8aDWWR9lzlNj1/s1600/Lesson+Plan+Book+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxtdpFBdEU0wdI04dXTQFr7SYFUT_xkdv84OQuz2mrdjto1FFYwdvGAUOK42tBeOVPdQsofHopU6ByhL2NdiSueI4cgMX6jiqGPRew-P5JWZG2XoHpV81Wx4Zqp0BBjgd8aDWWR9lzlNj1/s640/Lesson+Plan+Book+2.jpg" width="640" /></a></div>
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As the year progresses, I highlight hands-on/minds-on activities in yellow. This helps me to keep my pulse on when I've gotten into a rut of just doing notes/homework/repeat. I highlight all my assessments in blue. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPHN0Uvf0xFDaZLwcpaNq5sXcqQjqGSBiDQ540aJMyf_3dF24qgVb9Bi1a1lk6Cag_5Ui3QZ8w1tJB646I1IobQ-5WQr_0lU4P3hEPQVdNeKNJr5a87ccTC2CxfVE2zp6zJFoMSgY1rsZf/s1600/Lesson+Plan+Book.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="768" data-original-width="1024" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPHN0Uvf0xFDaZLwcpaNq5sXcqQjqGSBiDQ540aJMyf_3dF24qgVb9Bi1a1lk6Cag_5Ui3QZ8w1tJB646I1IobQ-5WQr_0lU4P3hEPQVdNeKNJr5a87ccTC2CxfVE2zp6zJFoMSgY1rsZf/s640/Lesson+Plan+Book.jpg" width="640" /></a></div>
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When I showed my principal my lesson plan book during my last observation, he was surprised that it was only filled in up to the current day. I guess this is more of a lesson record book than a lesson planning book. My planning tends to occur on notebook paper and a ton of post-it notes. I use this book as a reference of what we did each day so that when a student comes and says they haven't been here in two weeks, I can figure out exactly what they missed.<br />
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4. BOUND COPY OF OKLAHOMA MATH STANDARDS<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb5HDPyWhUynzd4cDcYtoi3i5Q3zcwJP9MCycFx7kVgivzgDGvI0FRYSiqKd8xSJ9xwZnLJtQ6702ro2LdHSirejdhZcO-G3qXaNEVGtSSddCASyJ-3wMeD18ZGfyjd0nifp8YqnqR_vTs/s1600/Standards+Book+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="768" data-original-width="1024" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb5HDPyWhUynzd4cDcYtoi3i5Q3zcwJP9MCycFx7kVgivzgDGvI0FRYSiqKd8xSJ9xwZnLJtQ6702ro2LdHSirejdhZcO-G3qXaNEVGtSSddCASyJ-3wMeD18ZGfyjd0nifp8YqnqR_vTs/s400/Standards+Book+1.jpg" width="400" /></a></div>
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Another thing I'm really glad I did this past year was use the binding machine to create a bound copy of the Oklahoma Academic Standards for Math. This was most useful when I found myself in meetings. It was so handy to be able to actually pull out the standards when questions came up instead of just talking about what we thought was in the standards.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwmL3MhlG-jj-D32s8TLjQDmDtH9tIgHTJjayIDc-s94TitBGEpIi34v1tKyI5i4FTumAEot5ynyKHsZ0duuU1UdKwYpMAbYJPDlY9hWtTO9bTkIbHupUOXPW_C_UDvekyMebxnhd2YQUB/s1600/Standards+Book+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1156" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwmL3MhlG-jj-D32s8TLjQDmDtH9tIgHTJjayIDc-s94TitBGEpIi34v1tKyI5i4FTumAEot5ynyKHsZ0duuU1UdKwYpMAbYJPDlY9hWtTO9bTkIbHupUOXPW_C_UDvekyMebxnhd2YQUB/s640/Standards+Book+2.jpg" width="462" /></a></div>
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I recently closed out my classroom for the summer, and I made sure that I brought home my printed/bound standards book. I'd recommend creating a nice printed copy of your standards to every classroom teacher who hasn't already done so.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGoczPJk7Rx7JI_qPJ5h5T0Fr7oShbixBUa6Kaz5Qj1NGNpWpP0noZZAiBn5MkRo5RK1w63Ji8Pr3m787fWJNAYp6OGnNpe2G-HNRvQw2-pVoD2HtU2hHpPznnzPpkmjKlqTWx3lV6DphW/s1600/Standards+Book+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="646" data-original-width="1024" height="402" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGoczPJk7Rx7JI_qPJ5h5T0Fr7oShbixBUa6Kaz5Qj1NGNpWpP0noZZAiBn5MkRo5RK1w63Ji8Pr3m787fWJNAYp6OGnNpe2G-HNRvQw2-pVoD2HtU2hHpPznnzPpkmjKlqTWx3lV6DphW/s640/Standards+Book+3.jpg" width="640" /></a></div>
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5. WEEKLY AGENDA BOARD<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgr5OVPZcikTE4no1eKi6y-v6mVidOWlvH4mUXsk3TDt2693jxTIeJpLdL2zywJeAYQ4z0blQl1Dixv9fH3eDOj-SenRpFgV0mPi7Bg4gLWhCzRGSX6jh92rImWbAqh5FDh8ZMufCWYdvoc/s1600/Weekly+Agenda+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgr5OVPZcikTE4no1eKi6y-v6mVidOWlvH4mUXsk3TDt2693jxTIeJpLdL2zywJeAYQ4z0blQl1Dixv9fH3eDOj-SenRpFgV0mPi7Bg4gLWhCzRGSX6jh92rImWbAqh5FDh8ZMufCWYdvoc/s640/Weekly+Agenda+2.jpg" width="640" /></a></div>
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I know that there is nothing new at all about this idea. But somehow it took 8 years of teaching to finally get around to creating a Weekly Agenda.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgmcnaJmE7zFh7gkNOMur6X4U5bekgDkr6CUzRp-Dzbl8IPk-dE4z8QLdaMG_TPlReXd_RpKleDtBUrSsaOBNcU8TbqNvRe3NjqTlzU5GP_hNfGumQhOCpbDlcWdnMqlLZI0qkrWH08dn5/s1600/Weekly+Agenda+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgmcnaJmE7zFh7gkNOMur6X4U5bekgDkr6CUzRp-Dzbl8IPk-dE4z8QLdaMG_TPlReXd_RpKleDtBUrSsaOBNcU8TbqNvRe3NjqTlzU5GP_hNfGumQhOCpbDlcWdnMqlLZI0qkrWH08dn5/s640/Weekly+Agenda+3.jpg" width="640" /></a></div>
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My students did regularly reference the board, and it will definitely be something I continue to keep doing in the future. I think I'll be making magnets for things such as Quiz Days, Notebook Checks, etc. on bright colorful paper so that they stand out more on the Agenda.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh28qnN-pUATR-4mq5Kged0FMdyMptLycc2matCIf9XNZu0UbmyyBo-Z6X8KK45o4tQ79HqgTgdBkzCwx6Hno-ZU3WjJJkUTMU8IyAoKhEs-eH3ivTDWoxUBfRnDT_-PzDwMBWLQ7LSJ93O/s1600/Weekly+Agenda.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh28qnN-pUATR-4mq5Kged0FMdyMptLycc2matCIf9XNZu0UbmyyBo-Z6X8KK45o4tQ79HqgTgdBkzCwx6Hno-ZU3WjJJkUTMU8IyAoKhEs-eH3ivTDWoxUBfRnDT_-PzDwMBWLQ7LSJ93O/s640/Weekly+Agenda.jpg" width="640" /></a></div>
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com2tag:blogger.com,1999:blog-1091979517567705761.post-28859656057629522932020-05-20T11:51:00.001-05:002020-05-20T11:51:57.743-05:00Factoring Monic Quadratics (when a = 1) Practice ActivityIn the Oklahoma math standards, students are first exposed to factoring quadratics in Algebra 1. However, they are only exposed to factoring quadratics where the leading coefficient is 1. These are called monic quadratics.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGntfDNWUDJa2SI_TJ0d_8JJay-Qxr52aeZtnIrkXA1vh3-C_6C8Md9kHcz_mN3jnGedux4iawhfIEEaaYZbmvy9Il5v5qstrey9WKtmJUA5ysS0zwcWV3P_kRBuknxal3BlHeXIq38ztr/s1600/Alg+1+Standards.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="318" data-original-width="316" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGntfDNWUDJa2SI_TJ0d_8JJay-Qxr52aeZtnIrkXA1vh3-C_6C8Md9kHcz_mN3jnGedux4iawhfIEEaaYZbmvy9Il5v5qstrey9WKtmJUA5ysS0zwcWV3P_kRBuknxal3BlHeXIq38ztr/s1600/Alg+1+Standards.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://sde.ok.gov/sites/ok.gov.sde/files/OAS-Math-Final%20Version_3.pdf">Oklahoma Algebra 1 Standards</a></td></tr>
</tbody></table>
Thus, my Algebra 2 students should already be fluent with factoring monic quadratics as we begin to factor more complicated quadratics. But, this is not always the case. For one thing, it's usually been about a year and a half since students have had to factor in Algebra 1. Secondly, the Oklahoma standards are weird in that students factor quadratics in Algebra 1 but don't really do anything else with them. They don't graph quadratics. They don't solve equations with quadratics. This leads to factoring being taught as a sort-of one-off topic that doesn't get practiced over and over throughout the course .<br />
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I say all this to explain why I'm spending time on factoring monic quadratics in Algebra 2. Most would use this as an Algebra 1 activity.<br />
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Pairs of students were given a Factoring Monic Quadratics Mat which featured six different quadratics to be factored. Ideally, I would have laminated these, but I was running out of time.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-pT1D_YEzUQFdlgDsAyaDYc3QHw6Ftd4vgquqZtUvE6PL37kqk6TsQi1LapFRj609-cmuNPB_sqNJsxOf5xNNFGLnQTVWwOdgxXS9b1VVhctvJzzKBYwzMIGci8N5c1BDhUi3sX105pqN/s1600/Factoring+Monics+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-pT1D_YEzUQFdlgDsAyaDYc3QHw6Ftd4vgquqZtUvE6PL37kqk6TsQi1LapFRj609-cmuNPB_sqNJsxOf5xNNFGLnQTVWwOdgxXS9b1VVhctvJzzKBYwzMIGci8N5c1BDhUi3sX105pqN/s640/Factoring+Monics+2.jpg" width="640" /></a><br />
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I did laminate the factors that students had to choose from. I printed them on colored paper to make them stand out on the mat.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBZJNvXtZ27eA02lk2k092gqXZxUvsIRTlGbsV1wL-5DopkkgRW5l6Cr43li6daHhk7qXwsZvnOhWkgnhW0z_sbNPHU7quvN6JwsML-zww9RtNJ_p7G98reOLyFscDIGINKPqNgNS4QZde/s1600/Factor+Choices.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="374" data-original-width="724" height="206" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBZJNvXtZ27eA02lk2k092gqXZxUvsIRTlGbsV1wL-5DopkkgRW5l6Cr43li6daHhk7qXwsZvnOhWkgnhW0z_sbNPHU7quvN6JwsML-zww9RtNJ_p7G98reOLyFscDIGINKPqNgNS4QZde/s400/Factor+Choices.png" width="400" /></a></div>
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In pairs, students tried to use the choices in the answer bank to factor each quadratic. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIE_tIYb8s3ZunI5v_MQSNZWz9GzhUD2h4vNupMfcnBjXUYHcoG5LHldCiNfL6ULfgjtaXjL8igJq8c8IcJENANfGOCJnPcH1f6e9htxbgMm6Y5sg4tT9-WwQntFIcYMKwWimS5rz7jkMd/s1600/Factoring+Monics+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIE_tIYb8s3ZunI5v_MQSNZWz9GzhUD2h4vNupMfcnBjXUYHcoG5LHldCiNfL6ULfgjtaXjL8igJq8c8IcJENANfGOCJnPcH1f6e9htxbgMm6Y5sg4tT9-WwQntFIcYMKwWimS5rz7jkMd/s640/Factoring+Monics+3.jpg" width="640" /></a><br />
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For example, the first quadratic could be factored as (x - 1)(x - 2).<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4UJUJpGG9xRMVeiM5YTKjngchkJ9_2gkY93IPD-8pVM7JkspG61aSYGqWE7IAudUMwCpCsa_TeW40YOtHI9ojy_-MbU9KURgOiSbb_5WNa67QOGTwGGu8ajifERve0fnbeoy3eRgrVXrC/s1600/Factoring+Monics+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4UJUJpGG9xRMVeiM5YTKjngchkJ9_2gkY93IPD-8pVM7JkspG61aSYGqWE7IAudUMwCpCsa_TeW40YOtHI9ojy_-MbU9KURgOiSbb_5WNa67QOGTwGGu8ajifERve0fnbeoy3eRgrVXrC/s640/Factoring+Monics+1.jpg" width="640" /></a></div>
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And, that's all there really is to the activity. It's nothing extraordinary, but it was a great way to measure where my students' factoring skills were. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOmTbJFDdUV1-D7AvU-6dOkjrNzT59CvLFnbF4c4GcwBW5wufTj5KZ2exCf9SqMy00ylgOH-Z1pW_n9Cab7K01dV4tGfAqEI7gMbUNhowPad9j3BEcepRQ539z-ziI7nYDQ-zR8r9K_K6C/s1600/Factoring+Monics+4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOmTbJFDdUV1-D7AvU-6dOkjrNzT59CvLFnbF4c4GcwBW5wufTj5KZ2exCf9SqMy00ylgOH-Z1pW_n9Cab7K01dV4tGfAqEI7gMbUNhowPad9j3BEcepRQ539z-ziI7nYDQ-zR8r9K_K6C/s640/Factoring+Monics+4.jpg" width="480" /></a></div>
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If I were to do this activity again, I would make multiple factoring mats that used the same set of factoring cards. Then, when a group finished early, I could automatically give them some new challenges to complete.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOTB1026zmt8bxjVc2W42DxTfTNAGn1SvVCvX5ByNxnMwycHqPvUKGTRm8m3v2_fj6upOCA0iwBdNEAU0nkfhcon9ncsMibA3k5U1xila00aiCEn3glrhTl882jVMt4ewGRzsh0BKpY9Gg/s1600/Factoring+Monics+5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOTB1026zmt8bxjVc2W42DxTfTNAGn1SvVCvX5ByNxnMwycHqPvUKGTRm8m3v2_fj6upOCA0iwBdNEAU0nkfhcon9ncsMibA3k5U1xila00aiCEn3glrhTl882jVMt4ewGRzsh0BKpY9Gg/s640/Factoring+Monics+5.jpg" width="640" /></a></div>
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I'm currently planning for a new prep for next year, so this isn't at the top of my to do list. <a href="https://twitter.com/bcarrera/">Bill Carrera</a> shared some <a href="https://twitter.com/bcarrera/status/1200444175893839872">sets he created on Twitter</a> after I posted some photos of my students completing this activity. <a href="https://twitter.com/bcarrera/status/1200444175893839872">Be sure to check them out</a>! <br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEginPs6mgXDrXn9uXqupA298tUt2FlZT7YHzRsiY8anhzAaAXwSZLvsM_kX7LjNYMvVz4pKVBXhb4DbAPwwziINLsPFJjpJUEit2jQWsK9iI0JwMt_dj7fbZPOsqqUcXNcCRRFP7S7Hb32o/s1600/Factoring+Monics+6.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEginPs6mgXDrXn9uXqupA298tUt2FlZT7YHzRsiY8anhzAaAXwSZLvsM_kX7LjNYMvVz4pKVBXhb4DbAPwwziINLsPFJjpJUEit2jQWsK9iI0JwMt_dj7fbZPOsqqUcXNcCRRFP7S7Hb32o/s640/Factoring+Monics+6.jpg" width="640" /></a></div>
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It was interesting to see my students take different approaches to these puzzles. Some tackled the puzzles in order. Others jumped around. A surprising number of them fell for my distractor choices which told me two things. First, I picked good distractors. Secondly, it was a very good thing we were spending time practicing these factoring problems in class.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjggbEsOpjzZRLr2iQlPf06264aLcdbeBU4nVmhmnpD-t-_Hk1klFc54t3D3QPgm3KHi2n69KxXlzCYkKLk9vy9Ohix0fVmRx4S8HHzX9UVAT3r-7rQ5pUULeaRWto1rm32AUr7IhxJRGRL/s1600/Factoring+Monics+7.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjggbEsOpjzZRLr2iQlPf06264aLcdbeBU4nVmhmnpD-t-_Hk1klFc54t3D3QPgm3KHi2n69KxXlzCYkKLk9vy9Ohix0fVmRx4S8HHzX9UVAT3r-7rQ5pUULeaRWto1rm32AUr7IhxJRGRL/s640/Factoring+Monics+7.jpg" width="480" /></a></div>
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Want to try this activity with your own students? I have uploaded the files <a href="https://app.box.com/s/ju31ejlruimjy1garhiey5jphwfq9vgq">here</a>. </div>
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0tag:blogger.com,1999:blog-1091979517567705761.post-6990012401941266712020-05-19T13:18:00.001-05:002020-05-19T13:18:23.621-05:00Pi Day Palooza - A Collection of Ideas for Celebrating Pi Day in the Math ClassroomYou may be thinking to yourself that I've lost it. It's May. Why in the world is Sarah posting about Pi Day?!? Well, this post has been on my to do list since late February. And, then you guys all know what happened in March. The world went crazy. The last day I saw my students in person was March 12th. And, Pi Day was the last thing on my mind. Instead, we spent the day speculating about this COVID-19 virus that the news couldn't stop talking about. We talked about upcoming travel plans that may or may not happen. We discussed when we might see each other again if school did have to shut down. I think a lot of us were kinda excited about the prospect of a two or three week Spring Break. Oh how wrong we were. We didn't know just how much the world was going to change. I remember realizing how it was the least celebrated Pi Day I had ever seen in all my years of being on Twitter. All this time of self-isolation has given me time to go back through my to-blog-about list and make some stuff actually happen.<br />
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I've already decided that if I get to, I'm going to go all out for Pi Day 2021. So I'm publishing this post now so it's ready to go for next March. Much like my <a href="https://mathequalslove.blogspot.com/2019/12/must-share-math-y-christmas-ideas.html">Math-y Christmas Ideas</a> post, this post is a compilation of Pi Day ideas that have already been shared in various volumes of <a href="https://mathequalslove.blogspot.com/search/label/Monday%20Must%20Reads">Monday Must Reads</a>. I've put all the Pi Day posts together in one spot so you can see all your options for celebrating this mathematical holiday. So, if you're a devout follower of this blog and read each and every post, there's nothing new here. Sorry. But, there's probably a post or two that you've forgotten. I know I had, and I wrote every single one of these blurbs!<br />
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Enjoy! <br />
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I am a fan of this calculus-based pi day graphing project that <a href="https://twitter.com/AlisaHobgood">Alisa</a> shared.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgy8B3ugJnRbgLrNUM2ddi5AwdIVQnVHFvifXNn9cMowrlxhBpuo7Dze6c52wUVf7qNebd8FqLeI88VxpRHd5rZ1_uOFpaiUj-8NrcXVcD1Yc_NY8UqLQNW95kXRcGa5qvHV2DHX2E9FL2Z/s1600/Alisa+Hobgood+2.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="370" data-original-width="589" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgy8B3ugJnRbgLrNUM2ddi5AwdIVQnVHFvifXNn9cMowrlxhBpuo7Dze6c52wUVf7qNebd8FqLeI88VxpRHd5rZ1_uOFpaiUj-8NrcXVcD1Yc_NY8UqLQNW95kXRcGa5qvHV2DHX2E9FL2Z/s1600/Alisa+Hobgood+2.png" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/AlisaHobgood/status/1238572517679300618">https://twitter.com/AlisaHobgood/status/1238572517679300618</a></td></tr>
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<a href="https://twitter.com/rupeleMX/">RupeleMx</a> challenged his students in Mexico with the <a href="https://mathequalslove.blogspot.com/2019/07/square-pi-puzzle.html">Square Pi Puzzle</a>. I love how he also captured the other figures they ended up creating.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbMOw0f6PPUWJcdD4lyMOw1pup3dwhXx05pkY08fiGE-O4rFEG-s4ulFqqBVAbFcjj39JtDvPxCxevsNebtUCgj5m7NyahwEJBUuLzYD6N0TXs7_B3jkyMf81oPxyeo9V9HjiWaOG3ELZ5/s1600/rupeleMx+3.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="359" data-original-width="588" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbMOw0f6PPUWJcdD4lyMOw1pup3dwhXx05pkY08fiGE-O4rFEG-s4ulFqqBVAbFcjj39JtDvPxCxevsNebtUCgj5m7NyahwEJBUuLzYD6N0TXs7_B3jkyMf81oPxyeo9V9HjiWaOG3ELZ5/s1600/rupeleMx+3.png" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/rupeleMX/status/1156996481884332032">https://twitter.com/rupeleMX/status/1156996481884332032</a></td></tr>
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<a href="https://twitter.com/tough_girl27">Mrs. Richardson</a> shares a great pi day idea - a poster contest. </div>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQb0iXUyh7vcvgH9VU1ruAGNCmTjDcRuPloYRBKY8KqzYI9YS8h3mgv_pwfH8Uh7RjgiRXgWiVey9nYSbxvPDoTDIveNZkjsBBXtdjj8h4zjJNeDvml443g4JYXVO7njSSBfdoXQpX2OJ-/s1600/Mrs.+Richardson.PNG" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="530" data-original-width="522" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQb0iXUyh7vcvgH9VU1ruAGNCmTjDcRuPloYRBKY8KqzYI9YS8h3mgv_pwfH8Uh7RjgiRXgWiVey9nYSbxvPDoTDIveNZkjsBBXtdjj8h4zjJNeDvml443g4JYXVO7njSSBfdoXQpX2OJ-/s1600/Mrs.+Richardson.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/tough_girl27/status/1106193993375854593">https://twitter.com/tough_girl27/status/1106193993375854593</a></td></tr>
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<a href="https://twitter.com/vickibteach6">Vicki Biarnesen</a> shares a yummy non-pie treat for Pi Day.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgr8XEGIe8i7qlIoXp2me37VQCdkjQUPAcSxNEw9sPqpFHP4DnjPzXd0epX-bglcV-JCJ7GQZTUM2HIagr2DHwxhNgSUndj4-fz7sezGXQ-6Ryn32MHYR0XJyr_6HDTeOL7KpapdN6-g0Ug/s1600/Vicki+Biarnesen.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="534" data-original-width="523" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgr8XEGIe8i7qlIoXp2me37VQCdkjQUPAcSxNEw9sPqpFHP4DnjPzXd0epX-bglcV-JCJ7GQZTUM2HIagr2DHwxhNgSUndj4-fz7sezGXQ-6Ryn32MHYR0XJyr_6HDTeOL7KpapdN6-g0Ug/s1600/Vicki+Biarnesen.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/vickibteach6/status/1106169880766758918">https://twitter.com/vickibteach6/status/1106169880766758918</a></td></tr>
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<a href="https://twitter.com/panlepan">Vincent Pantaloni</a> shares a fun fact to share on Pi Day.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNtD_ydL2ctwMa4reHGu2JmyzkgQMQ-8dPcJogVW31uMbpzm2NHb81gsdU6mnBdJgtXVmyLMxgf5QS9QW2rDOa3BqifPbGg3EScrDOZZzEJLeVssEl3e5bPLbUpK2kVLgc29ktCEmYv1_S/s1600/Vincent+Pantaloni+3.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="375" data-original-width="518" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNtD_ydL2ctwMa4reHGu2JmyzkgQMQ-8dPcJogVW31uMbpzm2NHb81gsdU6mnBdJgtXVmyLMxgf5QS9QW2rDOa3BqifPbGg3EScrDOZZzEJLeVssEl3e5bPLbUpK2kVLgc29ktCEmYv1_S/s1600/Vincent+Pantaloni+3.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/panlepan/status/1142698280436011011">https://twitter.com/panlepan/status/1142698280436011011</a></td></tr>
</tbody></table>
<a href="https://twitter.com/MrsGeltnerVHHS">Megan Geltner</a> inspires with a Pi Passport idea. Perfect if you're already thinking about how to celebrate the next Pi Day!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhtc2Qshdqnc0Uf0kSXy2E6sC6AQTvGTB1m3k9peVSl7gugseR8NSo04w8DrGx0dczVHKFC3QQxVxlWCleGnE0liIEz2Xk2B-BJYv8_9gmybcyRhoQUNI0MKQ4sayX8v97D1wB-LBLV_uyU/s1600/Megan+Geltner.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="398" data-original-width="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhtc2Qshdqnc0Uf0kSXy2E6sC6AQTvGTB1m3k9peVSl7gugseR8NSo04w8DrGx0dczVHKFC3QQxVxlWCleGnE0liIEz2Xk2B-BJYv8_9gmybcyRhoQUNI0MKQ4sayX8v97D1wB-LBLV_uyU/s1600/Megan+Geltner.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/MrsGeltnerVHHS/status/1097496314609324034">https://twitter.com/MrsGeltnerVHHS/status/1097496314609324034</a></td></tr>
</tbody></table>
<a href="https://twitter.com/RPhillipsMath">Becca Phillips</a> shares an awesome pi day t-shirt idea from her daughter. Sadly, 2020 doesn't appear until 7000 digits into pi...<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrd7U_YgsH6jyKiiu4hcKputzlBN62TjdSxbzhrSz_Wof-8QhHewuzzJj9GeB3HhoCXxUtg_7waqiBaPVwwZOXTW0G3H_hVKXALAii3LbWu8MMYFYrR5leycDEtH1-Uuge7aRWy9dqcsh4/s1600/Becca+Phillips.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="497" data-original-width="642" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrd7U_YgsH6jyKiiu4hcKputzlBN62TjdSxbzhrSz_Wof-8QhHewuzzJj9GeB3HhoCXxUtg_7waqiBaPVwwZOXTW0G3H_hVKXALAii3LbWu8MMYFYrR5leycDEtH1-Uuge7aRWy9dqcsh4/s1600/Becca+Phillips.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/RPhillipsMath/status/1103841210177937409">https://twitter.com/RPhillipsMath/status/1103841210177937409</a></td></tr>
</tbody></table>
Yet another pi day idea from <a href="https://twitter.com/PGCPSMSHSMath">PGCPS Secondary Math</a> to file away for next year! Great idea for decorating with some pi day coloring sheets.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-x-hi1ULxGjJKbb60poE4RDoifnEnc9tKJ1BCeFQPZP_ZVvsQxFq5midaoBm8gGep0lrgZXRH82whrcekEwOocFaTzIbucmjGd676P4ma0XZwPZYoJhiR4v34BTcR3rWrv-DjQRP_wS8P/s1600/PGCPS+Secondary+math.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="483" data-original-width="642" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-x-hi1ULxGjJKbb60poE4RDoifnEnc9tKJ1BCeFQPZP_ZVvsQxFq5midaoBm8gGep0lrgZXRH82whrcekEwOocFaTzIbucmjGd676P4ma0XZwPZYoJhiR4v34BTcR3rWrv-DjQRP_wS8P/s1600/PGCPS+Secondary+math.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/PGCPSMSHSMath/status/1106210042611748864">https://twitter.com/PGCPSMSHSMath/status/1106210042611748864</a></td></tr>
</tbody></table>
<a href="https://twitter.com/CTavernelli">Cheryl Tavernelli</a> shares a winning entry in a Pi Day Character Contest. What would your students come up with?<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_9fiKEBm53dHxqOvhekZsI99GVRQfldVBKrOK7p2nV9ra-2iKSHt_fdRXzNwZJ8X9c8al6CDgkNqefH_PkqKcRrCy-qGUabMGqMwCen4irf7mdosN6UtXvdVzURuqbguaO-bKvtpxIcMR/s1600/Cheryl+Tavernelli.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="648" data-original-width="630" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_9fiKEBm53dHxqOvhekZsI99GVRQfldVBKrOK7p2nV9ra-2iKSHt_fdRXzNwZJ8X9c8al6CDgkNqefH_PkqKcRrCy-qGUabMGqMwCen4irf7mdosN6UtXvdVzURuqbguaO-bKvtpxIcMR/s1600/Cheryl+Tavernelli.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/CTavernelli/status/1106271098612711425">https://twitter.com/CTavernelli/status/1106271098612711425</a></td></tr>
</tbody></table>
And, check out this awesome photo day opportunity for Pi Day!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhteOrmVNYSTQuNe2Mew4TdDIuQKx3bCmSdntLu3IPEBgHJIZCuOfJh9UKnaJQDSYTfR4ZCi_IVaruZn3rZ1BgyqwJkk0zJzsi8JthCbUuUVEyS8u81PsIPHW-BVsjwc-3talelrVc6lbda/s1600/Tim+Wilhelm+3.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="564" data-original-width="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhteOrmVNYSTQuNe2Mew4TdDIuQKx3bCmSdntLu3IPEBgHJIZCuOfJh9UKnaJQDSYTfR4ZCi_IVaruZn3rZ1BgyqwJkk0zJzsi8JthCbUuUVEyS8u81PsIPHW-BVsjwc-3talelrVc6lbda/s1600/Tim+Wilhelm+3.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/twilhelmGMS/status/1106321141260578818">https://twitter.com/twilhelmGMS/status/1106321141260578818</a></td></tr>
</tbody></table>
I must share this mathematician dress-up contest idea from <a href="https://twitter.com/TidyClassroom">Renita Bushell</a> for Pi Day. Can you guess the mathematicians?<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg13knaUrQ79w6z0hVukZUAGto2QjZPNZmb6xXGS5Ig60gF5gthBXfe_Zbs4jEEgLwaRCrxSiVMUDtYxQms2-l2sb_QAvpLfGwnBFyVa5N9Q1DKUSsC_xDixAlC1A8fNGa3xX2idAMEwt_N/s1600/Renita+Bushell.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="508" data-original-width="629" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg13knaUrQ79w6z0hVukZUAGto2QjZPNZmb6xXGS5Ig60gF5gthBXfe_Zbs4jEEgLwaRCrxSiVMUDtYxQms2-l2sb_QAvpLfGwnBFyVa5N9Q1DKUSsC_xDixAlC1A8fNGa3xX2idAMEwt_N/s1600/Renita+Bushell.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/TidyClassroom/status/1106238154854592514">https://twitter.com/TidyClassroom/status/1106238154854592514</a></td></tr>
</tbody></table>
<a href="https://twitter.com/Mary4Math">Mary Platt </a>shares a great water-color based pi day lesson.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQTzXk_1_cr3zGirY4w1xVypqL3uWcKCwvKj4fzrciyX1dj0OoaeO4sckglP50u_GC-anvHq06H0_sslKiL44RJKror1uRAzL3TYeJUREP8SfIMqrpn-whaBXu3odnDDIBH46NOilTJgSm/s1600/Mary+Platt.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="648" data-original-width="639" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQTzXk_1_cr3zGirY4w1xVypqL3uWcKCwvKj4fzrciyX1dj0OoaeO4sckglP50u_GC-anvHq06H0_sslKiL44RJKror1uRAzL3TYeJUREP8SfIMqrpn-whaBXu3odnDDIBH46NOilTJgSm/s1600/Mary+Platt.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/Mary4Math/status/974005563074936832">https://twitter.com/Mary4Math/status/974005563074936832</a></td></tr>
</tbody></table>
I love <a href="https://twitter.com/mrsroloff">Becky Roloff</a>'s idea of having a Pi Day Coloring Contest.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLNzFFGPPZ09-rPKhjFOu2nvmfITnJsqcAKpOoqI_E5S4kSbDZCpQW6ttkwuM7tvNOUYN2EFi0tzKunbfvUZ3D4C4pp7CuMW-6pPw7cwsix6oE0XkffpTOVzaBGoTJ58_mihv4WavnB2PO/s1600/Becky+Roloff.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="521" data-original-width="580" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLNzFFGPPZ09-rPKhjFOu2nvmfITnJsqcAKpOoqI_E5S4kSbDZCpQW6ttkwuM7tvNOUYN2EFi0tzKunbfvUZ3D4C4pp7CuMW-6pPw7cwsix6oE0XkffpTOVzaBGoTJ58_mihv4WavnB2PO/s1600/Becky+Roloff.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/mrsroloff/status/974032069776101378">https://twitter.com/mrsroloff/status/974032069776101378</a></td></tr>
</tbody></table>
I love this finding pi activity from <a href="https://twitter.com/AWilliamsAdvKY">Annette Williams</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzFPwf7CENy537shK1s6UmTx8C4og1oJGENJX1EDK37BjgTbaO2EOiILGlUytr2I3nTENh69zSPwypECLvwVI5VYuko8KLSQXt-ep_qA81yQKLfDL6YCoKrWf-5c1zGflTuM1tbYNplSZc/s1600/Annette+Williams.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="447" data-original-width="578" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzFPwf7CENy537shK1s6UmTx8C4og1oJGENJX1EDK37BjgTbaO2EOiILGlUytr2I3nTENh69zSPwypECLvwVI5VYuko8KLSQXt-ep_qA81yQKLfDL6YCoKrWf-5c1zGflTuM1tbYNplSZc/s1600/Annette+Williams.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/AWilliamsAdvKY/status/1019238995333730306">https://twitter.com/AWilliamsAdvKY/status/1019238995333730306</a></td></tr>
</tbody></table>
I love <a href="https://twitter.com/MsRuffini">Ms. R</a>'s idea of making pi necklaces on Pi Day!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYuCPmGHrBZzcbpn_beoaUm7b6cN1osVx4ZYW998mHnbkuTw-eR1aAuVs6DAE1IOyoVZDGIuAxbHaT7WtNTxW_bimsAPpsjUgH3B6FlQbU1UlbPkEprkJqrb7Abn9mItF-O6rp3CJxaJ4/s1600/Ms.+R.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="465" data-original-width="582" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYuCPmGHrBZzcbpn_beoaUm7b6cN1osVx4ZYW998mHnbkuTw-eR1aAuVs6DAE1IOyoVZDGIuAxbHaT7WtNTxW_bimsAPpsjUgH3B6FlQbU1UlbPkEprkJqrb7Abn9mItF-O6rp3CJxaJ4/s1600/Ms.+R.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/MsRuffini/status/976628757594218496">https://twitter.com/MsRuffini/status/976628757594218496</a></td></tr>
</tbody></table>
<a href="https://twitter.com/mrsfrcka">Laura Frcka</a> shares a new-to-me idea for Pi Day: pin the radius on the circle.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfg1wBOpJOIyH1VHYKMWUyskKaJKY0DPWMFZwf9R_52cYOtFIBYwnqbKFB7EXpIUTmrYB3Rj9udbF2dbWnBX3XDOcATcU9DdxH1-I723SAwMyyGvnqqL-ZgF9boff13_eJ3WxfT0ORIEg/s1600/Laura+Frcka.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="443" data-original-width="581" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfg1wBOpJOIyH1VHYKMWUyskKaJKY0DPWMFZwf9R_52cYOtFIBYwnqbKFB7EXpIUTmrYB3Rj9udbF2dbWnBX3XDOcATcU9DdxH1-I723SAwMyyGvnqqL-ZgF9boff13_eJ3WxfT0ORIEg/s1600/Laura+Frcka.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/mrsfrcka/status/841762713139322884">https://twitter.com/mrsfrcka/status/841762713139322884</a></td></tr>
</tbody></table>
I'm super inspired by how <a href="https://twitter.com/seesmanp1">Priscilla</a> arranged her desks for Pi Day!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisNpTHW3Hd8eMuhQJhB_tb_CVOP1rxSqCXy_IXZwMFeVT6gwhlvPNLNEbsowZEF92UO0smWV78mF7AuRSFfJCAgut_XCTr4sZWNuXfC5MqGhE_OTf9vmeJOQS12f1JY692HNI-aIkYcoQ/s1600/Priscilla+Seesman+2.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="371" data-original-width="580" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisNpTHW3Hd8eMuhQJhB_tb_CVOP1rxSqCXy_IXZwMFeVT6gwhlvPNLNEbsowZEF92UO0smWV78mF7AuRSFfJCAgut_XCTr4sZWNuXfC5MqGhE_OTf9vmeJOQS12f1JY692HNI-aIkYcoQ/s1600/Priscilla+Seesman+2.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/seesmanp1/status/974421091744657408">https://twitter.com/seesmanp1/status/974421091744657408</a></td></tr>
</tbody></table>
<a href="https://twitter.com/MrsGrassoAPHS">Sabrina Grasso</a> shares a brilliant use for a hula hoop while celebrating Pi Day.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG4Y7m5XBZoDjLMtt_oRYD5-mNidOVuIpbWQiei_f0Yx1PVS_YDQmwrS6ORnG3ofETyvxo5wBxuL8Tptndfw1o_XjOOUbAkRSze2AnvL9Pd-cx4T3MiFenDWE2RK09teL1F0alOA-3vcY/s1600/Sabrina+Grasso.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="423" data-original-width="578" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG4Y7m5XBZoDjLMtt_oRYD5-mNidOVuIpbWQiei_f0Yx1PVS_YDQmwrS6ORnG3ofETyvxo5wBxuL8Tptndfw1o_XjOOUbAkRSze2AnvL9Pd-cx4T3MiFenDWE2RK09teL1F0alOA-3vcY/s1600/Sabrina+Grasso.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/MrsGrassoAPHS/status/973964537220214784">https://twitter.com/MrsGrassoAPHS/status/973964537220214784</a></td></tr>
</tbody></table>
I've seen skylines made of pi before, but <a href="https://twitter.com/MrsGyimotyAPHS">Sarah Gyimoty</a> takes it a step further with the first 180 digits of pi!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOcVyiV7SzjIEEtYWMGEbYRYL8CCxZiAaXzGSskM5X0rMHFsi-KH5cYxSNMFt7qbvX4EbqfpyhhaAZ8Qhb79umlwvX-dB7flf6YzBGrNf_7Wsuo8a9XvVLt_LtWX3HLdXL_y2zYUd6RA0/s1600/Sarah+Gyimoty.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="254" data-original-width="581" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOcVyiV7SzjIEEtYWMGEbYRYL8CCxZiAaXzGSskM5X0rMHFsi-KH5cYxSNMFt7qbvX4EbqfpyhhaAZ8Qhb79umlwvX-dB7flf6YzBGrNf_7Wsuo8a9XvVLt_LtWX3HLdXL_y2zYUd6RA0/s1600/Sarah+Gyimoty.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/MrsGyimotyAPHS/status/973991894530306049">https://twitter.com/MrsGyimotyAPHS/status/973991894530306049</a></td></tr>
</tbody></table>
I am amazed at <a href="https://twitter.com/roderunners">Lisa Rode</a>'s creativity in creating these Pi Day trophies.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqPAA9pE4hnoj85xp8UwgS-chUVXi_PDuvmtkkXhOZXja-IJGciQT0WeVdyrEq8rYwniNjQ9R6aRs_jkZIS4_LcRn3w6pQTGs4TL4ao7NvRrqyBQeiab3BHsumTfbgRBx4SBeegKi8oxo/s1600/Lisa+Rode.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="551" data-original-width="582" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqPAA9pE4hnoj85xp8UwgS-chUVXi_PDuvmtkkXhOZXja-IJGciQT0WeVdyrEq8rYwniNjQ9R6aRs_jkZIS4_LcRn3w6pQTGs4TL4ao7NvRrqyBQeiab3BHsumTfbgRBx4SBeegKi8oxo/s1600/Lisa+Rode.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/roderunners/status/975541426112159747">https://twitter.com/roderunners/status/975541426112159747</a></td></tr>
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Already thinking about next year's Pi Day celebration? Make it a school wide celebration with this idea from <a href="https://twitter.com/pquimic">Pep Anton Vieta</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhm3xU-3HGiihqFJE9LqrZ5M_AMh-EFiZV6eUPgiSt9vAYmD2_7HmUheGIa-2vZXLgJTFhy9r5R2WzqL1E7gi4j97kmMxGbsJQcnOkIih1PNyFzEGL1REPw0ofzqMl2_0DcklJKnr3YRec/s1600/Pep+Anton.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="539" data-original-width="579" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhm3xU-3HGiihqFJE9LqrZ5M_AMh-EFiZV6eUPgiSt9vAYmD2_7HmUheGIa-2vZXLgJTFhy9r5R2WzqL1E7gi4j97kmMxGbsJQcnOkIih1PNyFzEGL1REPw0ofzqMl2_0DcklJKnr3YRec/s1600/Pep+Anton.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/pquimic/status/974383028221939718">https://twitter.com/pquimic/status/974383028221939718</a></td></tr>
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I also love this colorful Pi Day display from <a href="https://twitter.com/jaegetsreal">Jae Ess</a>!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIx399GOm0VQUEqZuh0-SiGKcUaS6HcH9-x2znMgotSDVMMmBfB_WF5HbMb0XiVhqiX0KV86Ob3yM1ITZJKO0sZYXZITxA0A7hXaFhTIo0Lxz2tysaG-6yQ17g37wWS3S_hVk07i-iJIE/s1600/Jae+Ess+2.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="465" data-original-width="582" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIx399GOm0VQUEqZuh0-SiGKcUaS6HcH9-x2znMgotSDVMMmBfB_WF5HbMb0XiVhqiX0KV86Ob3yM1ITZJKO0sZYXZITxA0A7hXaFhTIo0Lxz2tysaG-6yQ17g37wWS3S_hVk07i-iJIE/s1600/Jae+Ess+2.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/jaegetsreal/status/971126941142147072">https://twitter.com/jaegetsreal/status/971126941142147072</a></td></tr>
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Preparing to celebrate Pi Day? Check out this awesome Pi-Day themed WODB from <a href="https://twitter.com/aethirv">Zach Armstrong</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNQN1HAhAtl-KR_U569OnHOsbTdhTwXN6hPoGilYw83Hs3FFJbo25W6jaTFlULTmz06ZO4R6CZLZiCqRU0wwZDgI7UaS6cNFv6wvN0BrmlpCcdhgBpz5ll0LTwrlm4MCtsLEK6P1p-F6c/s1600/Zach+Armstrong.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="551" data-original-width="581" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNQN1HAhAtl-KR_U569OnHOsbTdhTwXN6hPoGilYw83Hs3FFJbo25W6jaTFlULTmz06ZO4R6CZLZiCqRU0wwZDgI7UaS6cNFv6wvN0BrmlpCcdhgBpz5ll0LTwrlm4MCtsLEK6P1p-F6c/s1600/Zach+Armstrong.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/aethirv/status/972888574780674049">https://twitter.com/aethirv/status/972888574780674049</a></td></tr>
</tbody></table>
<a href="https://twitter.com/wendytiedt">Texas Math Teacher</a> shares a fun twist on <a href="http://amzn.to/2tL3OgQ">Tenzi</a> (one of my favorite dice games ever!) that is perfect for Pi Day.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKUR5xuNNO9va9otfTrbDmc2UuGkapjMhk8ryRS8ksP_J8uaBwSTUFMKsrQURWtzMb_ig4WEdCgRHmUFgd-ceaRplvrB87SH6BhrbaAvMngKr3iro7cnvSgXijcxPPgzqOfirDn6UKOos/s1600/Texas+Math+Teacher.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="436" data-original-width="577" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKUR5xuNNO9va9otfTrbDmc2UuGkapjMhk8ryRS8ksP_J8uaBwSTUFMKsrQURWtzMb_ig4WEdCgRHmUFgd-ceaRplvrB87SH6BhrbaAvMngKr3iro7cnvSgXijcxPPgzqOfirDn6UKOos/s1600/Texas+Math+Teacher.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/wendytiedt/status/972610881753370624">https://twitter.com/wendytiedt/status/972610881753370624</a></td></tr>
</tbody></table>
Are you getting geared up for Pi Day? Check out this awesome Pi Day Dingbats challenge from <a href="https://twitter.com/MsODonnellMaths">Ms. O'Donnell Maths</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMiQW5G1E79-NDYMxWTo1G7_y8ZXH6IjumvwtBgQ5nC_PdBnLiZSmjI3w6gFa6Ir-8Dd1qpAMzqXezU7WxMb-iAbYG6TurP-vv8V-u0xFhJQDeXoF2hPA4MUU-QPupDEpk7qz_q2RkLj4/s1600/Ms+O%2527Donnell+Maths.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="439" data-original-width="580" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMiQW5G1E79-NDYMxWTo1G7_y8ZXH6IjumvwtBgQ5nC_PdBnLiZSmjI3w6gFa6Ir-8Dd1qpAMzqXezU7WxMb-iAbYG6TurP-vv8V-u0xFhJQDeXoF2hPA4MUU-QPupDEpk7qz_q2RkLj4/s1600/Ms+O%2527Donnell+Maths.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/MsODonnellMaths/status/968418599030403073">https://twitter.com/MsODonnellMaths/status/968418599030403073</a></td></tr>
</tbody></table>
<a href="https://twitter.com/jmtishler">Jacqueline Tishler</a> shares the idea of engaging students with a kahoot on pi facts.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOU7IbXH-4pBm_35tqjLVja63AdWmvyrLpY3oymHDXIidh2LX_PoVnUCVBTS-T7bwo1dqtIrnohVAw0lA8YwVSZjWpuqJYgOQZ0MqeCq6eSs1bIJNylY52vZK0L8QtNmpyIMzKTEfSKHY/s1600/Jacqueline+Tishler.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="369" data-original-width="579" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOU7IbXH-4pBm_35tqjLVja63AdWmvyrLpY3oymHDXIidh2LX_PoVnUCVBTS-T7bwo1dqtIrnohVAw0lA8YwVSZjWpuqJYgOQZ0MqeCq6eSs1bIJNylY52vZK0L8QtNmpyIMzKTEfSKHY/s1600/Jacqueline+Tishler.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/jmtishler/status/709370504403099648">https://twitter.com/jmtishler/status/709370504403099648</a></td></tr>
</tbody></table>
<a href="https://twitter.com/marielgm9">Mariel Mates</a> wants to encourage crafty math teachers to knit or crochet their own pi day scarf that has rows of colors corresponding to the digits of pi.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhh0jzIinUUII1c2-Lose0HIE6AuGg1YBw4vGNy5HugvNsY_khcgZ_KNKnPKSPTv1-e-Jo4GD-E4YRMhKyJrKg-ByVCrj22tJFb1zkDNyP__Ko2vyIBzRpsM3ihQ87MIplcZ5qJQVmcYPg/s1600/Mariel+Mates.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="412" data-original-width="581" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhh0jzIinUUII1c2-Lose0HIE6AuGg1YBw4vGNy5HugvNsY_khcgZ_KNKnPKSPTv1-e-Jo4GD-E4YRMhKyJrKg-ByVCrj22tJFb1zkDNyP__Ko2vyIBzRpsM3ihQ87MIplcZ5qJQVmcYPg/s1600/Mariel+Mates.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/marielgm9/status/937260396708327429">https://twitter.com/marielgm9/status/937260396708327429</a></td></tr>
</tbody></table>
It's time to start prepping for Pi Day. Here's a Pi Day Sudoku Puzzle shared by <a href="https://twitter.com/pickover">Cliff Pickover</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6S42nNPWMXz6axPVED-QNFSZ2V_tmQA6kod8J4ip0ds2yOF9QxjM0PqIa2XFnN6Lp3qKdwSpFo-T7O-BhHu9CZ3NozNSzYxRCCJ-2wXsjVmg9ZppZgo0T-3Zy35C_FK1Lse7ktO59NQk/s1600/Cliff+Pickover.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="322" data-original-width="580" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6S42nNPWMXz6axPVED-QNFSZ2V_tmQA6kod8J4ip0ds2yOF9QxjM0PqIa2XFnN6Lp3qKdwSpFo-T7O-BhHu9CZ3NozNSzYxRCCJ-2wXsjVmg9ZppZgo0T-3Zy35C_FK1Lse7ktO59NQk/s1600/Cliff+Pickover.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/pickover/status/960140486181900288">https://twitter.com/pickover/status/960140486181900288</a></td></tr>
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<a href="https://twitter.com/MathDenisNJ">Denis Sheeran</a> shares another idea for celebrating Pi Day that involves a circle drawing contest. Check out all the details <a href="https://myedexpert.com/item/pi-day-circle-drawing-contest-bundle/?_sf_s=sheeran">here</a>.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjg37TZmG2vCy9U_gdm8jwQ8ctZHGFTa4Dx1Zf8TRhJrtraDrqmihD4S0luydob8UVBF-cw8K9cvaiblkH2TUv1KP0zf6wfjyGoWyqFxSnBFn0kr8XSTMtUxlZWyD6-eulMmiAR27eBzQ8/s1600/Denis+Sheeran.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="127" data-original-width="580" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjg37TZmG2vCy9U_gdm8jwQ8ctZHGFTa4Dx1Zf8TRhJrtraDrqmihD4S0luydob8UVBF-cw8K9cvaiblkH2TUv1KP0zf6wfjyGoWyqFxSnBFn0kr8XSTMtUxlZWyD6-eulMmiAR27eBzQ8/s1600/Denis+Sheeran.PNG" /></a><br />
It's never too early to start planning for Pi Day. <a href="https://twitter.com/sargent_wendy">Wendy Sargent</a> shares some ideas for celebrating.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCVAg4g584vZNFrzjpxltPt3Z_n7fHgacaGtiSi-0G7BQjzMZFgjW2J8J8kxxL1ndp1pItK3rbmB-ULshyphenhyphenYHUfB7_Zi2CjgUmIkPwGDcOGobh6I13r5ye1E89UHNjQSkZCLKs21LMka4Y/s1600/Wendy+Sargent.PNG" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="421" data-original-width="579" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCVAg4g584vZNFrzjpxltPt3Z_n7fHgacaGtiSi-0G7BQjzMZFgjW2J8J8kxxL1ndp1pItK3rbmB-ULshyphenhyphenYHUfB7_Zi2CjgUmIkPwGDcOGobh6I13r5ye1E89UHNjQSkZCLKs21LMka4Y/s1600/Wendy+Sargent.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/sargent_wendy/status/709348781108629504">https://twitter.com/sargent_wendy/status/709348781108629504</a></td></tr>
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Already starting to think about Pi Day? <a href="https://twitter.com/MrDownin">Mr. Downin</a> shares a creative idea: hide pi symbols around the school for your students to find!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5q4I4uT1vbD0WapCT9X5TgUxyeUoHE0RQul2skwf2nQuJ6hcdsO2ITjn54fzRHrLQM_DGprbfdRDMUIrHeYNf2J8IRVjQNrnns1hVQIucNo-2wTqe9TAAtMMwoBFTmHxHgUUgCgcP/s1600/Mr.+Downin.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="593" data-original-width="581" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5q4I4uT1vbD0WapCT9X5TgUxyeUoHE0RQul2skwf2nQuJ6hcdsO2ITjn54fzRHrLQM_DGprbfdRDMUIrHeYNf2J8IRVjQNrnns1hVQIucNo-2wTqe9TAAtMMwoBFTmHxHgUUgCgcP/s1600/Mr.+Downin.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/MrDownin/status/576333435066781696">https://twitter.com/MrDownin/status/576333435066781696</a></td></tr>
</tbody></table>
<a href="https://twitter.com/elizraskin" target="_blank">Elizabeth Raskin</a> engaged her students in a very visual discovery of pi. I've seen a lot of pi-related activities, but this one was completely new to me.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4PuMN07gXcSfXT_1XM0EZkaYj3_aUVRYnfNWNShBkvpw3g_UlS82LGnGcFraoFKtvHXeOx7i1qUz_XYyFA2TlNr-YKYylZISMIQhk89w8PjROVXMwJUGs-anNn8nmE_2BjMs-Ijh5rcw/s1600/Elizabeth+Raskin.PNG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="574" data-original-width="464" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4PuMN07gXcSfXT_1XM0EZkaYj3_aUVRYnfNWNShBkvpw3g_UlS82LGnGcFraoFKtvHXeOx7i1qUz_XYyFA2TlNr-YKYylZISMIQhk89w8PjROVXMwJUGs-anNn8nmE_2BjMs-Ijh5rcw/s1600/Elizabeth+Raskin.PNG" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 12.8px;">Image Source: <a href="https://twitter.com/elizraskin/status/855103639416733699">https://twitter.com/elizraskin/status/855103639416733699</a><br />
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Have other great Pi Day ideas? Leave them in the comments!<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0tag:blogger.com,1999:blog-1091979517567705761.post-78331798000492913062020-05-18T16:22:00.000-05:002020-05-18T16:22:58.157-05:00My 2019-2020 Math Classroom Decorations TourWhat can I say about the 2019-2020 school year other than the fact that it's been CRAZY? I ended last school year a few weeks early due to taking maternity leave. It felt weird not having the closure of the normal end of year activities and packing up my classroom for the summer. But that weirdness was overshadowed by the fact that I was a new mom. My focus instantly switched from teaching teenagers math to keeping a newborn alive. I assumed that this school year would be characterized mainly by my learning how to balance being both a teacher and a mom. I didn't see a worldwide pandemic coming. At all.<br />
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Last Tuesday was my assigned day to enter the school building and prep my classroom for summer. It also became my one and only chance to mark something off my to-do list that had been lingering since AUGUST. In the back to school craziness, I never got around to blogging pictures of this year's classroom decorations. Actually, let me correct that statement. I never even got around to taking pictures of my classroom decorations. It's been a yearly tradition since I started teaching and started this blog that I share photos of my classroom. I couldn't break my 7 year streak, so I added "Take Classroom Photos" to my list of things I needed to do to shut down my classroom for this summer.<br />
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So, I hope you enjoy this tour of my 2019-2020 classroom. I hope it comes in useful as you start to plan for the new school year, however that may look. Even though my district is working on coming up with a multitude of plans of what school may look like in the future, I'm being stubbornly optimistic and hoping that my prep for the new school year will still include such things as decorating my classroom. Please don't burst my bubble...yet.<br />
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You may notice some differences in this year's classroom decor compared to previous years. You will notice a lot less posters and stuff hanging on the wall. This is a result of the fact that my school uses my hallway for all of its standardized testing. This means that I have to take down or cover up all my decorations multiple times a year. Last year, I learned what a real pain this was the hard way. So this year, I tried to stay as minimalistic as possible in my decorations so that they were easy to cover. There's also the fact that I now know why teachers complain so much about hanging up decorations on cinder block walls. Last year was my first year in a classroom with cinder block walls, and I spent the ENTIRE year rehanging up posters again and again and again. I did miss having some of the posters I'm used to having had up in the past, so I'm looking for ways to incorporate them back in for the future.<br />
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Want to see what my classroom has looked like in years past? Here are some links if you want to take a trip down memory lane.<br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="http://mathequalslove.blogspot.com/2012/08/my-classroom-is-done.html">2012-2013 Classroom Pictures</a></div>
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<a href="http://mathequalslove.blogspot.com/2013/08/classroom-pictures-2013.html">2013-2014 Classroom Pictures</a></div>
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<a href="http://mathequalslove.blogspot.com/2014/08/2014-2015-classroom-pics-my-most.html">2014-2015 Classroom Pictures</a> </div>
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<a href="https://mathequalslove.blogspot.com/2016/10/2015-2016-classroom-pictures.html">2015-2016 Classroom Pictures</a></div>
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<a href="https://mathequalslove.blogspot.com/2016/09/2016-2017-classroom-pictures.html">2016-2017 Classroom Pictures</a> </div>
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<a href="https://mathequalslove.blogspot.com/2018/06/math-classroom-decorations-recap-2017.html">2017-2018 Classroom Pictures</a></div>
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<a href="https://mathequalslove.blogspot.com/2018/08/my-2018-2019-math-classroom-decorations.html">2018-2019 Classroom Pictures</a> </div>
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Okay. It's time for the grand tour. Let's start at the doorway to my classroom. Here is what students see when they walk in the door of my classroom.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWlAZ9vJ-yKMRNsrNIBEtXmjQ7PZHNKMJTdi6dDPn-72Dsy7YBLqS3ufNZZvTC9t3wwllmEX5nFqyE5_QqRou8Oan5Jqa1b4JIoMtxAVslaDV0upEf4fnWzmIhGwKbJd_xPYD6k5BuBOmf/s1600/IMG_20200512_130759568.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWlAZ9vJ-yKMRNsrNIBEtXmjQ7PZHNKMJTdi6dDPn-72Dsy7YBLqS3ufNZZvTC9t3wwllmEX5nFqyE5_QqRou8Oan5Jqa1b4JIoMtxAVslaDV0upEf4fnWzmIhGwKbJd_xPYD6k5BuBOmf/s640/IMG_20200512_130759568.jpg" width="640" /></a></div>
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Looking back towards the door that we just entered.... This is the front of my classroom.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigAZRWn4PZFaSE0MLjUP-e5dAXyb98Rrmi8MK3FvQJdNV21IMPllk75Y4FJg9iH30F8pR-t8qfwpcHtskF-_VIAhBjPum0LiPyFAYKMDMpA9XLWljhK8qhRa6GWfVKvIXh8BYwHXMa2QMi/s1600/IMG_20200512_130816364.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigAZRWn4PZFaSE0MLjUP-e5dAXyb98Rrmi8MK3FvQJdNV21IMPllk75Y4FJg9iH30F8pR-t8qfwpcHtskF-_VIAhBjPum0LiPyFAYKMDMpA9XLWljhK8qhRa6GWfVKvIXh8BYwHXMa2QMi/s640/IMG_20200512_130816364.jpg" width="640" /></a></div>
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Here's the view from my podium toward the back of the classroom.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcUrn4HZPW5qoj0v4tzokPq2dlb1Sdtj_C67NnafUTvyHNjH_FXnhwckl6S2diO-nDnk-7XcPBaywhQ3tdcYFb0ZjdBNnLMzrITS8QTXchFZLOhm07bH_cOwOmlOwoSsWZGTdvH-cX0cq1/s1600/IMG_20200512_130819455.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcUrn4HZPW5qoj0v4tzokPq2dlb1Sdtj_C67NnafUTvyHNjH_FXnhwckl6S2diO-nDnk-7XcPBaywhQ3tdcYFb0ZjdBNnLMzrITS8QTXchFZLOhm07bH_cOwOmlOwoSsWZGTdvH-cX0cq1/s640/IMG_20200512_130819455.jpg" width="640" /></a></div>
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And, here's a slightly different view from the podium.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEich11jz7GG6lZX32_T-i0myJhkXd_tabydhCD8NLOfa9G5cXNqCAIWHnVxhcd5Duqwp7Bbnz4ytR8c7W4VOMZBNPb1Y3-dzsA8aX5Yf7zQBBW9MHootSzjTP7PMajzSjEZzqLH8zclrCY-/s1600/IMG_20200512_130821405.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEich11jz7GG6lZX32_T-i0myJhkXd_tabydhCD8NLOfa9G5cXNqCAIWHnVxhcd5Duqwp7Bbnz4ytR8c7W4VOMZBNPb1Y3-dzsA8aX5Yf7zQBBW9MHootSzjTP7PMajzSjEZzqLH8zclrCY-/s640/IMG_20200512_130821405.jpg" width="640" /></a></div>
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The view from my computer chair...<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXk2wVrF3IIy2uKtYAyKFZGH7mZZG5J40D6Y2TgpMNrry2NmIN1OCs4aTfQHi4cNEYUj8zkE_QHAw-Sq-fNGapvKpGJozlUuh6QF-_aD40Nzdeu6SX7_9Opx8QTgtc2l4dnzEzrpHxDPx6/s1600/IMG_20200512_130836309.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXk2wVrF3IIy2uKtYAyKFZGH7mZZG5J40D6Y2TgpMNrry2NmIN1OCs4aTfQHi4cNEYUj8zkE_QHAw-Sq-fNGapvKpGJozlUuh6QF-_aD40Nzdeu6SX7_9Opx8QTgtc2l4dnzEzrpHxDPx6/s640/IMG_20200512_130836309.jpg" width="640" /></a></div>
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And a couple of different angled views from my desk area.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQXv7BQPgaliWASa58ASs7Io57tpThJOiqf25gjzJT_VkfmUHcDsx3HepLprxO52eSBnDx-a8LTdzHdzMJM9kE1Go7JVIOqTpIP0pbtJBfS4CQLmtzMfcEKe5FXtUqGL2JUXF-WJRcsYGK/s1600/IMG_20200512_130838511.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQXv7BQPgaliWASa58ASs7Io57tpThJOiqf25gjzJT_VkfmUHcDsx3HepLprxO52eSBnDx-a8LTdzHdzMJM9kE1Go7JVIOqTpIP0pbtJBfS4CQLmtzMfcEKe5FXtUqGL2JUXF-WJRcsYGK/s640/IMG_20200512_130838511.jpg" width="640" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjc2D9LLp3SOQDnll6TTkG0hvr85O2zZFErLJGFak_4yowasAaLrjoJmPb6j5TI7uXiALoPY0RGr9yfwv_lKknSTKLZSuaoh5nczBwvw5uXP2zFPQQdhOUMWBkrUoU_QM6748Vlp2pOaDEv/s1600/IMG_20200512_130841022.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjc2D9LLp3SOQDnll6TTkG0hvr85O2zZFErLJGFak_4yowasAaLrjoJmPb6j5TI7uXiALoPY0RGr9yfwv_lKknSTKLZSuaoh5nczBwvw5uXP2zFPQQdhOUMWBkrUoU_QM6748Vlp2pOaDEv/s640/IMG_20200512_130841022.jpg" width="640" /></a></div>
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From the back corner of my classroom, looking toward my desk area:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgY4V6NehyllbXaO5xA0iuuBUXDGNeK-G1Ay_F_zecRoF1Nt5sjsj-ZjxWfRq6LkIOyGOwQmSqM4PY-3fWfQRklPhBUgNcATtxQwYwaaSoDMgGADajRTUmbiCRM6qU1tQU1DTe3o-wNkYpH/s1600/IMG_20200512_130852462.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgY4V6NehyllbXaO5xA0iuuBUXDGNeK-G1Ay_F_zecRoF1Nt5sjsj-ZjxWfRq6LkIOyGOwQmSqM4PY-3fWfQRklPhBUgNcATtxQwYwaaSoDMgGADajRTUmbiCRM6qU1tQU1DTe3o-wNkYpH/s640/IMG_20200512_130852462.jpg" width="640" /></a></div>
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Same Point of View. Now I'm looking toward the TV at the front of the classroom.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOIcpUMWkzfyjWbI2BZIk_G-tNFuUEdr5TKZ5i0zMdNMJAhbF1FbCCHPhsDpc3ONYZjM6XpCJ8U-go3y99K2ykYyV9X-6dePXYa1cW01dWN30KRFZ4ztkxAAKK8uBlpz3PkCGahS7qtfYh/s1600/IMG_20200512_130854590.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOIcpUMWkzfyjWbI2BZIk_G-tNFuUEdr5TKZ5i0zMdNMJAhbF1FbCCHPhsDpc3ONYZjM6XpCJ8U-go3y99K2ykYyV9X-6dePXYa1cW01dWN30KRFZ4ztkxAAKK8uBlpz3PkCGahS7qtfYh/s640/IMG_20200512_130854590.jpg" width="640" /></a></div>
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And, one last shot from the same spot. This time I'm looking toward the door of the classroom, even though it's hidden behind the cinder block wall jutting out by the file cabinet.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeVHrXrW5FzJ6yN1z1QrNISFDqv5I8Q_zjUdg6ect_S47sqwxFlAgWY0gjgPPJObb2cBEEaZGxfIvySoME0-4AgPzvL7zIE3wVZPshQ4kySaRym_0BUENRt_eJZWd_9lcL2rcs9ShXpDMr/s1600/IMG_20200512_130856809.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeVHrXrW5FzJ6yN1z1QrNISFDqv5I8Q_zjUdg6ect_S47sqwxFlAgWY0gjgPPJObb2cBEEaZGxfIvySoME0-4AgPzvL7zIE3wVZPshQ4kySaRym_0BUENRt_eJZWd_9lcL2rcs9ShXpDMr/s640/IMG_20200512_130856809.jpg" width="640" /></a></div>
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My Weekly Agenda Wall was a new addition for this year. I'm definitely keeping it. Though, I think I need to work on building a routine into my work time to make it more effective and keep it up to date more regularly. I really slacked off on keeping it up-to-date right before Spring Break.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigXq6G6dlb2dvn0jJtrw4MNXkUwcdjzi1woMaOTe_qKXZ_JZk_Wig_u5wc8NL-ErQzR3ssJlTDsNs1d2pvIafUYd-j0Sh_1PglV-50B3zo5F3NQDt8c5DYsQBvILmy0blIDhvLRoRqNCGI/s1600/IMG_20200512_130904313.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigXq6G6dlb2dvn0jJtrw4MNXkUwcdjzi1woMaOTe_qKXZ_JZk_Wig_u5wc8NL-ErQzR3ssJlTDsNs1d2pvIafUYd-j0Sh_1PglV-50B3zo5F3NQDt8c5DYsQBvILmy0blIDhvLRoRqNCGI/s640/IMG_20200512_130904313.jpg" width="640" /></a></div>
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This is my main student view. The math department was the first department in the school to adopt 65" flat screen televisions to give instruction instead of SMARTBoards. See the pole extending from the ceiling on the left side of the picture below? That used to have a projector mounted to it. It was removed to replace a projector that had died elsewhere in the district since I now have a smart TV.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbZfuVOcR_AFxTVLs1LL_s15-BntdrccL3RAdAXesQBOwbPZBHLl8ogbqvfdv5H-GvirhNMFkLzotOblW0_vD8tLIZDyBLAnOZJUnVs02iS5WnHnDjOeuou4d6ycpMGilyuHD3cw6WW9P8/s1600/IMG_20200512_130912873.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbZfuVOcR_AFxTVLs1LL_s15-BntdrccL3RAdAXesQBOwbPZBHLl8ogbqvfdv5H-GvirhNMFkLzotOblW0_vD8tLIZDyBLAnOZJUnVs02iS5WnHnDjOeuou4d6ycpMGilyuHD3cw6WW9P8/s640/IMG_20200512_130912873.jpg" width="640" /></a></div>
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Annoyingly, I still have the SMARTBoard bolted to my wall. I just submitted a summer maintenance request to have it removed and a bulletin board mounted in its place. It will be interesting to see if my wish is granted.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijh0FC4r34UAchSaq_XstozTdG1IV9nOVV0_I6rc0DmCcfJWw93813GNUiWVgEkAjocf_7wfk2yNuLlnQhyphenhyphenXN-ujrNHxjdmbR836vbwtyAY1IRKq86e6TdCZXPnb9ADG4bn0JecUBQeiVj/s1600/IMG_20200512_130921570.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijh0FC4r34UAchSaq_XstozTdG1IV9nOVV0_I6rc0DmCcfJWw93813GNUiWVgEkAjocf_7wfk2yNuLlnQhyphenhyphenXN-ujrNHxjdmbR836vbwtyAY1IRKq86e6TdCZXPnb9ADG4bn0JecUBQeiVj/s640/IMG_20200512_130921570.jpg" width="640" /></a></div>
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Even if the SMARTBoard remains, I do realize I'm super lucky to have dry erase boards on 3 of my 4 walls. And the wall that doesn't have a dry erase board has a bank of cabinets. I do not know what I would do without these cabinets. Especially because I've collected so much stuff during my 8 years as an educator. Though, I do have to say that I've been reading some books on decluttering this summer, and I think when I do return to school that I will be practicing some of the decluttering strategies I've been using in my home on my classroom.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgi_-AQIjXRUvqXIE7H7_45JkkVUB26HQUTS4XUSCjLnTUlYaOqg8lQ7d6xCGimKH0cqBVle99hhfV3E7HhBIIF9Aa1e6UqmRYbqfbJ5fhjfRsjr5BRMGjDf3uPWD1hrGsl4b7cn_0IBwI9/s1600/IMG_20200512_130930192.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgi_-AQIjXRUvqXIE7H7_45JkkVUB26HQUTS4XUSCjLnTUlYaOqg8lQ7d6xCGimKH0cqBVle99hhfV3E7HhBIIF9Aa1e6UqmRYbqfbJ5fhjfRsjr5BRMGjDf3uPWD1hrGsl4b7cn_0IBwI9/s640/IMG_20200512_130930192.jpg" width="640" /></a></div>
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So, that's the overall tour. Now let's dig in deep and look at some close-ups. Let's start back at the door. Above my door, I have pennant flags for the two universities I attended. I got my bachelors in mathematics and secondary education from the University of Tulsa. And, I earned my masters in curriculum and instruction with an emphasis in math from the University of Texas at Arlington.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnH7Pt0-qAfSOtZBUEKeQigNm2NLv6yYOfGo9boHkR1Gbvk5pO-xEcaYiuXZhVR7gugK_-nUaiG0-gNvEjXSMmbrNY61wyIzqeyoErIUoVNrB-Z2z8pOxkBqZ4BeoujQdfqanyP8PJ1ZEH/s1600/IMG_20200512_130937189.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnH7Pt0-qAfSOtZBUEKeQigNm2NLv6yYOfGo9boHkR1Gbvk5pO-xEcaYiuXZhVR7gugK_-nUaiG0-gNvEjXSMmbrNY61wyIzqeyoErIUoVNrB-Z2z8pOxkBqZ4BeoujQdfqanyP8PJ1ZEH/s640/IMG_20200512_130937189.jpg" width="640" /></a></div>
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One of the first things people notice when they walk in my room is my Math-y WELCOME banner. You can read my blog post about it and download the files to create your own <a href="http://mathequalslove.blogspot.com/2016/07/free-printable-math-y-welcome-banner.html">here</a>. I'm not entirely happy with where I hung it this year. But once I hot glued it to the wall, I was not about to move it.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAYUORk88QDXjg729AeOK6sozFkrBZsZ-uI_pDntMdu9sCjLcAKiOLtLSOBcThB_VeOtqfS2MzntSS2bAv6ah886r0ph97xiAMvr4-XbTmsB2zLbwaw5haL4UqunX1xxMd8jCN0Aef0AhA/s1600/IMG_20200512_130950344.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAYUORk88QDXjg729AeOK6sozFkrBZsZ-uI_pDntMdu9sCjLcAKiOLtLSOBcThB_VeOtqfS2MzntSS2bAv6ah886r0ph97xiAMvr4-XbTmsB2zLbwaw5haL4UqunX1xxMd8jCN0Aef0AhA/s640/IMG_20200512_130950344.jpg" width="640" /></a></div>
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Also in this corner is my trash can, recycling bin, thermostat, manual pencil sharpener, and cell phone holder. This was my first year not having an electric pencil sharpener for students to use. Now, that was a good decision. Are electric sharpeners inherently better? Yes. But, they are also SO MESSY. My classroom stayed much cleaner this year only having the wall-mounted pencil sharpener. The majority of my students use mechanical pencils anyway, so I didn't really get any complaints.<br />
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My <a href="https://amzn.to/3fU8hBI">cell phone holder</a> (affiliate link) came from Amazon. It held up wonderfully which surprised me since it was so cheap. My cell phone policies, on the other hand, didn't hold up very well at all. I found it too hard to police whether students were actually placing their phones in the pocket or not. This meant that day after day there were less and less phones in the holder. I definitely need to rethink my plan for this over the summer. <br />
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My <a href="https://amzn.to/3cLsE23">coordinate plane magnets</a> (affiliate link) are also from Amazon. You can also order them directly from EAI Education if your school places orders with them. Want your own set of coordinate plane magnets to label the parts of your coordinate plane magnets? I blogged about them and shared the files <a href="http://mathequalslove.blogspot.com/2016/07/printable-parts-of-coordinate-plane.html">here</a>. The good thing about these magnets is they are super easy to take down for state testing. And, they can be quickly moved out of the way when I am working a problem and need to use the coordinate plane.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmNjw2JDKDiNfEGfNPR30YAQ8UCFNxMRV8gRmf_2Q-bDpG5-26HOqWxKMF0SFiJpfyN4NduutJUz8a-emuGx0xjXcxMeJzsnZUOeNRkaxXB6vG2DElesnDJhrAsSo70PZho0bSQYoyirwB/s1600/IMG_20200512_131000788.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmNjw2JDKDiNfEGfNPR30YAQ8UCFNxMRV8gRmf_2Q-bDpG5-26HOqWxKMF0SFiJpfyN4NduutJUz8a-emuGx0xjXcxMeJzsnZUOeNRkaxXB6vG2DElesnDJhrAsSo70PZho0bSQYoyirwB/s640/IMG_20200512_131000788.jpg" width="640" /></a></div>
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Above my long dry erase board, I have my printed number line. This is the fourth classroom that this number line has hung in, and it's still going strong. Find details for printing your own <a href="http://mathequalslove.blogspot.com/2013/07/made-4-math-printable-number-line-poster.html">here</a>. I definitely recommend a number line for any math classroom. Also of interest might be the positive and negative infinity symbols I have hung on either side of the number line. They can be downloaded <a href="http://mathequalslove.blogspot.com/2016/08/positive-and-negative-infinity-posters.html">here</a>.<br />
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In the corner by one of my two windows, I have my 65 inch Smart TV that I use to display notes/announcements on. It is hooked up to my computer where I mainly use OneNote to display what we are working on for the day. I print the PDFs of our notes to OneNote and write on top of them using my <a href="https://amzn.to/36mbwxH">Wacom Intuos Tablet</a> (affiliate link). I also use my <a href="https://amzn.to/2ycufik">Ipevo Document Camera</a> (affiliate link) to display things on the TV when I want to handwrite things with an actual pen or show student work. I still miss having my SMARTboard at times, but I do love the absolute clarity of showing students things on the TV instead of constantly dealing with dimming and dying projector bulbs.<br />
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My podium is home to my Mrs. Carter math name sign and my SOH CAH TOA Posters. I haven't shared the math name sign because it's my name and you would need your name. But, the WELCOME banner post up above has some links that might be useful in creating your own!<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwEJAVemOm-_twn6wesqMCRreg2njyyeAOUQYIqZcAYr3FBxOPfpGiXABQxyWMTbJ_kPepaIksIE_iBB3G-1qcYK3pQz0PsdWxgEFp3nZn86zEUiy5R2qaO5pWFCBMarcuC4mooEZZ8GXp/s1600/IMG_20200512_131511104.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwEJAVemOm-_twn6wesqMCRreg2njyyeAOUQYIqZcAYr3FBxOPfpGiXABQxyWMTbJ_kPepaIksIE_iBB3G-1qcYK3pQz0PsdWxgEFp3nZn86zEUiy5R2qaO5pWFCBMarcuC4mooEZZ8GXp/s640/IMG_20200512_131511104.jpg" width="480" /></a></div>
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The SOH CAH TOA posters, on the other hand, can be downloaded <a href="http://mathequalslove.blogspot.com/2016/07/sohcahtoa-posters.html">here</a>.<br />
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Up next, my lovely bulletin board. Except wait! It's not a bulletin board. It's an ugly coordinate plane chalkboard that I repurposed by covering it with black paper and adding a border of colored tape. It's definitely not perfect if you get up close, but it looks a million times better than the old chalkboard that was there. This is a space in my classroom that could definitely be utilized better. I had all sorts of plans of posting upcoming ACT dates and other stuff, but they never materialized.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgr7TSoZXqzPEXPwQ8r9g2yGxU5a2mhyphenhyphenToCgZx577JsjxRh8Mn4q68QRE-14QqnptLuOEmbPhX9SYF0HHUDLzLf4y0YWNLNbNAEzEZsYcurkvrNQBwFT9E3uhprHsVyei7nM2IGSsRtBnOm/s1600/IMG_20200512_131519777.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgr7TSoZXqzPEXPwQ8r9g2yGxU5a2mhyphenhyphenToCgZx577JsjxRh8Mn4q68QRE-14QqnptLuOEmbPhX9SYF0HHUDLzLf4y0YWNLNbNAEzEZsYcurkvrNQBwFT9E3uhprHsVyei7nM2IGSsRtBnOm/s640/IMG_20200512_131519777.jpg" width="480" /></a></div>
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This is the perfect home, however, for my <a href="https://mathequalslove.blogspot.com/2019/08/math-joke-of-week-posters-and-binder.html">Math Joke of the Week</a> which was a HUGE hit in my classroom this year and will continue to be a part of my classroom for years to come. Students loved flipping up the joke to reveal the answer. And, they were quick to volunteer to switch out the joke whenever I forgot. Not going to lie, that happened a lot.<br />
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Also in this space, my new <a href="https://amzn.to/3bDGSR7">Unit Circle magnets</a> (affiliate link) that I got as a Christmas present from my school's parent teacher student organization. As part of my summer to do list, I'll be making a title to hang above it that says "The Unit Circle" and some smaller magnets to label the angles/coordinates. This arrived just as we were finishing our trigonometry units in Pre-Calc, so it didn't really get much use this year. But I'm super excited to use it next year. It's manufactured by EAI Education, the same company that made my magnetic coordinate plane that I showed you earlier. Both of them are actually four separate magnets that fit together to make the one larger display.<br />
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My Weekly Agenda board was a new addition for this school year.<br />
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Things to note:<br />
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I suck at writing the date each day. I need to find a way to make this a student job.<br />
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Students love to have their names written on the board for their birthday week.<br />
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Don't abbreviate Thursday as R. You will never hear the end of it. Kids don't care that colleges sometimes use R as an abbreviation for Thursday in course schedules.<br />
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Below the agenda board, I had a rolling table. In the past, I used this by the door as a sort of supply table. It collected so much garbage. This year I switched it to this wall thinking it could serve as a puzzle table. Students have written bad words on it that I'm not sure are going to wipe off. This will likely be decluttered come August.<br />
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We've now made our way around the room to my corner. I know the trend these days is to get rid of your teacher desk. Not me. I need my space.<br />
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The most common way students interact with my space is by using the turn-in trays. I like to have these in a place where I can access them from my desk without having to get up out of my chair. If I have to walk across the room to get papers to grade, they're going to get graded in an even more untimelier fashion.<br />
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Want to see my teacher hack that I'm super proud of? I labeled the front of the turn in drawers for my students. And, I labeled the back of the drawers for me! So simple, yet it took me way 1.25 years to figure this out.<br />
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This bookshelf houses my binders, reference books, graded papers, and lots of other random stuff. You may be thinking you don't see much other random stuff. That's because I took this picture after quite a bit of tidying.<br />
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On top of the bookshelf, I have a set of 8 magazine holders that I rescued from the library. These hold my printed resource books that I have bound myself using one of my new favorite toys: a binding machine! See those ugly stickers stuck to the back of the magazine holders? They say "Buy 5 Get 1 Free." I finally got around to removing the stickers and residue with some amazing, life-changing <a href="https://amzn.to/2Tlu23U">Goo Be Gone</a> (affiliate link) last week. They look SO much nicer now!<br />
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In the future, I hope to label the bottoms of the magazine holders to say what subject's resources are contained in each holder.<br />
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The top shelf of my bookshelf holds my to-be-passed-back-papers which are organized in <a href="https://amzn.to/3bIucIL">Avery Six-Pocket Organizers</a> (affiliate link).<br />
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The second shelf is home to my binders and a plastic organizer which holds tardy slips, <a href="https://amzn.to/2X6ZVhD">magnetic clips</a>, and small slips of paper.<br />
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Below that, I keep a collection of reference textbooks. The box on the bottom shelf is my teaching memento box. This is where I keep the notes I get from students and other small items that I want to save.<br />
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Next to the shelf, I have a pink rolling cart with a small paper organizer on top. The small paper organizer holds extra copies of quizzes/tests for each subject and some notebook paper for my own use. The rolling cart is where I keep all my tools for staying semi-organized. <a href="https://amzn.to/2Xb2YFk">Plastic Sleeves</a> (affiliate link) for keeping sets of papers together. I use these most often for organizing photocopies. <a href="https://amzn.to/2yZLcNB">Plastic Envelopes</a> (affiliate link) for storing puzzles and activities in my filing cabinets. Sheet Protectors. Project Folders (my own name for the <a href="https://amzn.to/3bIucIL">Avery Six-Pocket Organizers</a> that I mentioned above for storing graded papers). Stickers. File Folders. Lots and lots of file folders.<br />
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A new addition to my classroom this year was this mini-fridge and microwave. My classroom is almost as far away from the teacher's lounge as possible in my school. And, lunch is only 25 minutes long. This was a LIFESAVER this year.<br />
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Another new addition to my classroom this year? A nice office chair. My old office chair left much to be desired. This one was put out in the hall by another teacher at the beginning of this year. I quickly claimed it. Then, I realized why they had put it out in the hall. The back of the chair was broken. Or was it? I was convinced it could be fixed. With the help of three different family members, we finally figured out how to fix it. Wahoo!<br />
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Next to my computer, I have my mathy pencil cup that my sister designed for me as a class project while working on her art education degree.<br />
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This silver file organizer keeps things pretty organized on my computer desk. The clipboard is empty now, but it often holds rosters and stuff like that. The "Need to Finish" folder helps greatly maintain my sanity when it comes to students who start quizzes/tests but can't finish them for a myriad of reasons. No more putting them in the turn in tray but writing "not finished" at the top. If it's not ready to be graded, it goes in this folder.<br />
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These two filing cabinets by my desk store all the classroom activities I've created over the years. I have drawers for Algebra 1, Algebra 2, Pre-Calc, Puzzles (x2), Posters, Statistics/Science, and Basic Math/Miscellaneous.<br />
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On top of the filing cabinets, I keep my handy dandy paper chopper and various awards I've won over the years. Don't be too impressed by the number of awards. The majority of them stem from being named a finalist for Oklahoma Teacher of the Year a few years ago.<br />
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On the back wall, I'm super lucky to have a bank of cabinets to organize all my stuff. </div>
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Two of the drawers are dedicated to storing extra copies. One drawer per prep. I toss all the extra copies for each prep in the appropriate drawer. If students lose something/are absent they dig in the drawer to find it. The mess is contained in the drawer. And, my room is so much more organized looking as a result. I used to try to organize these types of things in hanging folders, but students would pull out the folders and not put them back, and I would get oh so frustrated.<br />
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Back in late February when the world was still normal, I splurged and bought an <a href="https://amzn.to/2Zh95L2">Amazon Basics shredder</a> (affiliate link) for my classroom. My classroom is super far away from the office where the school's shredder lives. So I found myself taking papers home to shred. (We have an identical shredder at home!) Except I would forget that I had stuck papers to shred in my school bag. So I would carry around papers in my bag for days/weeks/months. It didn't get much use before the world shut down, but I look forward to having a shredder at close reach in my classroom next year.<br />
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Also on the back counter are some paper organizers. Usually, these are home to extra handouts and stuff like bellwork papers. I tackled these with the Goo Be Gone last week as well, so now the sticker residue from the previous user is now all gone.<br />
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One of the few new posters I designed for my classroom this year was these powers of 2-9 posters. They were an absolute HIT. Students used them over and over and over and over. We used them with radicals. We used them with exponents. We used them with logarithms. Students took pictures of the posters on their phones so they could reference them at home.<br />
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One student even told me that he thought the posters were a little silly at the beginning of the year, but he was surprised at how useful they turned out to be. Want your own set of Power Posters? Check out the blog post <a href="https://mathequalslove.blogspot.com/2019/08/printable-powers-of-2-to-9-posters.html">here</a>.<br />
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My trust Includes/Excludes posters got another year of use. If your students struggle to remember when to use parentheses/brackets and open circles/closed circles, you NEED these posters. Download them <a href="http://mathequalslove.blogspot.com/2016/08/includes-vs-excludes-in-mathematics.html">here</a>.<br />
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I have thirty desks in my classroom, and some hours of the day I had 30 students in my class. Having a few extra rolling chairs made it possible for students to work a bit more effectively in groups. It also gave me an extra spot for my principal to sit if he decided to observe me during my biggest classes.<br />
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My one and only bulletin board in my classroom features my <a href="http://mathequalslove.blogspot.com/2018/07/solutions-roots-zeros-and-x-intercepts.html">Zeros/Intercepts/Solutions/Roots</a> posters and my <a href="https://primefactorisation.com/blog/2018/08/08/function-expression-equation-poster/">Function/Expression/Equation</a> poster. I think these work together really well.<br />
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Above the bulletin board, I hung a set of vintage place value posters that I found at a thrift store last summer. I remember having these in my math classrooms as a student.<br />
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The dry erase board below them was home to my Puzzle of the Week. Next year, I'd love to add a place for students to sign their name if they solve that week's puzzle. I'd also include a reminder for students to scramble the puzzle after they solve it in order to give other students a chance at the satisfaction of solving the puzzle for themselves.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWhMlpgN4K8MAGh1HrGUye4PpSSMRMczndm_QwIBlC2hYIQ4GT4cyuPdxgSGMc-DRwNttfpTDrPGRvRAsfGRJ6wp6ol_5mcJ3_bnU7yblHwf05kQXWDoNczrp3T9ZkC_D78MarphecpWn9/s1600/IMG_20200512_131314954.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWhMlpgN4K8MAGh1HrGUye4PpSSMRMczndm_QwIBlC2hYIQ4GT4cyuPdxgSGMc-DRwNttfpTDrPGRvRAsfGRJ6wp6ol_5mcJ3_bnU7yblHwf05kQXWDoNczrp3T9ZkC_D78MarphecpWn9/s640/IMG_20200512_131314954.jpg" width="640" /></a></div>
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Each week, I tried to post a new magnetic puzzle with pieces for students to manipulate as they tried to solve the puzzle. Here's an example. If you interested in seeing more of these puzzles, check out <a href="https://mathequalslove.blogspot.com/p/puzzles.html">my puzzle page</a> where I share all the puzzles I've used with students over the years.<br />
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<img height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhj2slvUNDjDdaosRdyK9tuNH-KWDYC5s1ALXOH75Oe8XW6zARrwTY_AuzIP2_wwv6Rt4AkbZQaL0o8umb1g0Y1ozTHyhy11qS6sXnKbQGhGm7MyNtf3BBoBkAWTsoN9317RIZRw0SqdgM6/s640/IMG_20190909_100236985.jpg" width="640" /></div>
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Below the dry erase board, I have three drawer organizers that hold important things like rulers, colored pencils, markers, highlighters, dry erase boards, scissors, glue, calculators, etc.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghAiIKNhNJD6vZhald00WKZHK8ABMvrFtLJtF1iSledyyG4cQVFaGU0tnX5RCYYtdd4CRj1gALdm-HolNezcaRIomK0ePpq4s_SwW-uBLLnt-FVSRNzpxWUl3wJKzjRjBKXAuY2ixB06v2/s1600/IMG_20200512_131335102.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghAiIKNhNJD6vZhald00WKZHK8ABMvrFtLJtF1iSledyyG4cQVFaGU0tnX5RCYYtdd4CRj1gALdm-HolNezcaRIomK0ePpq4s_SwW-uBLLnt-FVSRNzpxWUl3wJKzjRjBKXAuY2ixB06v2/s640/IMG_20200512_131335102.jpg" width="640" /></a></div>
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You might have caught a glimpse of some of my hanging decor in the previous pictures. It looks like the tutorial I used to make these stellated icosahedron out of straws and curling ribbon doesn't exist anymore. But I managed to find an archived version of the website <a href="https://web.archive.org/web/20170623092639/https://craftydogdesigns.com/category/stellated-icosahedron/">here</a>.<br />
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Okay. We're almost done. Here's my lonely SMARTBoard that doesn't work since there is no projector hooked up to it. Sometimes I tape student work to it.<br />
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Below it, I have various sizes of dry erase boards for students to use.<br />
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On my filing cabinet by the door, I have a red three drawer organizer that has notebook paper, graph paper, and copy paper for students to use. It's a lifesaver.<br />
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And, yes, my file cabinet does have some of the digits of pi printed on it. Would you expect anything less from the girl who writes a blog called Math = Love?<br />
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And just like that, we're back at the door. Can't wait to open this door back up next school year to show you my new decorations. I've got a few exciting things on my to do list for this summer. I'm just trying to hold off my enthusiasm until the schedule of what everybody is teaching gets solidified before I start putting in too much time with my laminator!<br />
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I hope you enjoyed this little tour of E509!<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com3tag:blogger.com,1999:blog-1091979517567705761.post-46767622288012885642020-04-30T20:08:00.000-05:002020-04-30T20:08:42.226-05:00Transformations of Functions Word SearchYesterday, I got the urge to create something. Creation is one of my favorite parts of my job. I love to put in some time and effort to create an activity for my students to use. I find not only the process of creation to be re-energizing but also the act of seeing students all over the world getting to experience the activity I created through the remarkable power and nature of social media.<br />
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<a href="https://amzn.to/2SnyDlz"><img border="0" data-original-height="500" data-original-width="402" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2QxSHA-Am8uXEsCqzIwURSMPOjCGRtc6TzwwCWNSpINLB8sLwQkTnM2OKDPmxCbiKwWM6ZHCxPfJj5S_nd7QVSbBu1EhCAwIj6FAIltB_YD8dce9y24tdtUgcLbAdVHXGKVZrDs46LM55/s320/Magnolia+Table.jpg" width="256" /></a></div>
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So, what did I create? First, I baked a yummy batch of chocolate chip cookies (Shaun got to choose the type of cookie) from <a href="https://amzn.to/2zDxb7Z">Magnolia Table</a> (affiliate link). They have become my go-to chocolate chip cookie recipe, and they always receive rave reviews. Well, except for the time that I was in a hurry and accidentally used white sugar instead of brown sugar. They were still edible, but let's just say I didn't take them to church with me as planned...<br />
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While waiting for my trays of cookies to bake, I started flipping through this year's Algebra 2 binder. I was looking for inspiration for something to create. Ahhh...yes...transformations. It's such a crucial topic in Algebra 2 and plays a huge role in <a href="https://primefactorisation.com/blog/2020/03/25/algebra-2-class-notes-v-0-3/">Shaun's Algebra 2 Notes</a> which I am currently using to based my Algebra 2 curriculum on. It's definitely one of the areas where I had the most need for improvement. As the year progressed and we performed transformations on the different parent functions we encountered, I found that my instruction got better and better.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglDg_HUg8jYGub7of7UlE_meJXewSJAlBgXB6H2vohtntd-CTl_ijgT8VdtEt7Op0D-V78GnBudfwK0X6-xYzB24CZ7nmPf000CpKcHlxkIJvfuD9oQvVvwEmHfUiHWc2XFDiApQCxYaTg/s1600/Alg+2+Notes.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="564" data-original-width="892" height="404" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglDg_HUg8jYGub7of7UlE_meJXewSJAlBgXB6H2vohtntd-CTl_ijgT8VdtEt7Op0D-V78GnBudfwK0X6-xYzB24CZ7nmPf000CpKcHlxkIJvfuD9oQvVvwEmHfUiHWc2XFDiApQCxYaTg/s640/Alg+2+Notes.png" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://primefactorisation.com/blog/2020/03/25/algebra-2-class-notes-v-0-3/">https://primefactorisation.com/blog/2020/03/25/algebra-2-class-notes-v-0-3/</a></td></tr>
</tbody></table>
But, what about those first lesson of the year on transformations where we don't know our parent functions yet? How could I give my students some much-needed practice with this concept? Last year's practice (or I guess I should say this year's practice since we still have 1.2 weeks of distance learning left for the year) consisted of way too unstructured dry erase practice where I told students to check their answers with Desmos. Students struggled to figure out if their sketched graphs *really* matched up with the Desmos graph. And, I ran around the room for the entire hour like a chicken with my head cut off trying to answer question after question while also redirecting groups who seemed to be using their Chromebooks for things that weren't Desmos. Yeah, it wasn't my best lesson.<br />
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So, I needed something self-checking. Something where students knew without a doubt whether their sketch of the transformation was correct. And, I wanted something technology free so I could better monitor groups to see that they were on-task. This has all been a VERY long-winded way to say I made a word search.<br />
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No, not that type of word search.<br />
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I know what you're thinking.<br />
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We won't be staring at an array of scrambled letters until our eyes bleed looking for the letters that spell out REFLECTION and TRANSLATION. Maybe those type of word searches have a proper educational use in some circumstances, but my own memories of school equate word searches with busy work. And, I've got too many important math concepts to teach to give my students busy work.<br />
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It's a totally new type of word search, and I'm super excited to get to try it out in my Algebra 2 classroom come August or whenever we get to teach in classrooms again.<br />
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Students are provided with a graph that features a function, f(x), which is defined by a dashed line, and an assortment of letters of the alphabet spread around the coordinate plane.<br />
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There are fifteen different transformations of f(x) which when graphed join together four of the letters on the coordinate plane. When these four letters are unscrambled, they form a common school-appropriate four-letter word.<br />
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For example, if you were to sketch f(x + 6) + 2, you would get something that looks like this:<br />
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The transformed graph joins together the letters N, T, W, and A which can be unscrambled to spell WANT.<br />
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If students don't get a graph that joins four letters together or if the four letters they do find don't spell a word, they will know that they have done something wrong. Self-checking activity for the win!<br />
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Because I like to overcomplicate things, I made several versions. All the versions currently use the same letters and transformations. If this activity proves to be popular, I might make different versions in the future to focus more specifically on certain types of transformations or levels of difficulty.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfNSOiRR7vjADqBEJRLaWGNNjo9xNTMvmn35uE1Fcxf8tLf0D1DKT5TcZsKPyumqY_h35hEO8Y3QU0p9dRpP9F2dy9aRdh7-uPp0DhZhkE_paLwAExv-2vLgZtIcX3FvEGUfUuQl0KYnNh/s1600/WS+2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: left;"><img border="0" data-original-height="541" data-original-width="412" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfNSOiRR7vjADqBEJRLaWGNNjo9xNTMvmn35uE1Fcxf8tLf0D1DKT5TcZsKPyumqY_h35hEO8Y3QU0p9dRpP9F2dy9aRdh7-uPp0DhZhkE_paLwAExv-2vLgZtIcX3FvEGUfUuQl0KYnNh/s1600/WS+2.png" /></a></div>
If you want to give students the fifteen transformations to sketch all at once, I have formatted it as a sort of worksheet. You definitely won't want to print it double-sided, though. Print one copy of the graph for each student, and print one copy of the worksheet for students to record their answers on for each student.<br />
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Even if you do elect to take the worksheet route, may I recommend placing the graph in a <a href="https://amzn.to/2SEgCjd">dry erase pocket</a> (affiliate link)? It will make your students' lives SO MUCH EASIER. All of my <a href="https://amzn.to/2SEgCjd">dry erase pockets</a> are at school, so you will have to settle for a picture of my graph in a sheet protector. By the way, sheet protectors work completely fine for this. But, I prefer the sturdiness and improved erasability you get from a bit more high end product like a dry erase pocket (also known as shop ticket holders.)<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKY6tcxaocLlbhKhQDaUKOCPJk1d11xr6MHitDitsbBGJYGfL5L4YvIuuK_BvaiM5aOUktatqG3newsMHLbU83jexAYLB1beyxTBQfjCS7pHQLt5ImxbUBR4YEHAutA_bVVpovjGCGfyYq/s1600/IMG_20200430_160021636adjusted.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKY6tcxaocLlbhKhQDaUKOCPJk1d11xr6MHitDitsbBGJYGfL5L4YvIuuK_BvaiM5aOUktatqG3newsMHLbU83jexAYLB1beyxTBQfjCS7pHQLt5ImxbUBR4YEHAutA_bVVpovjGCGfyYq/s640/IMG_20200430_160021636adjusted.jpg" width="640" /></a></div>
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I hesitate to use the activity in this form in my own classroom because I fear it would lead to the same result I get when I try to use one of those clever joke worksheets. One student works diligently to figure out the puzzle, and then can't contain themselves from shouting the answer out to the ENTIRE CLASSROOM. Is that just my students?!?<br />
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Most likely, this will be featured in my classroom as a small group activity where students are probably arranged in pairs. They will be given one challenge at a time. After completing each challenge, they will bring it back to my desk. I will check their answers and give them a new challenge.<br />
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To facilitate this small group version of this activity, I decided to make cards with each of the transformations written on them. And, because I couldn't help myself, I made two different versions of the cards, 5 to a page and 15 to a page. The 5 to a page cards look nicer and each feature the instructions, but I realize copy limits are a reality in many districts. If you hate cutting and laminating, you'll definitely want to go for the 15 to a page version.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgu9yOkZ8E722dtFVVPt2T4qDEjeaZlz2Q6WPJGXbMxvedHwnCkrYZyapNKnZ1WWnIS0LPUcL7d6SyedrHlsD4f0hDG0PQcuI6ybFZsZ0DOw3Ow7yhau7s1CI8nrQd_4qW5xmA2RXC6Clrz/s1600/IMG_20200430_154546937_2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="936" data-original-width="1600" height="374" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgu9yOkZ8E722dtFVVPt2T4qDEjeaZlz2Q6WPJGXbMxvedHwnCkrYZyapNKnZ1WWnIS0LPUcL7d6SyedrHlsD4f0hDG0PQcuI6ybFZsZ0DOw3Ow7yhau7s1CI8nrQd_4qW5xmA2RXC6Clrz/s640/IMG_20200430_154546937_2.jpg" width="640" /></a></div>
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This small group version also called for a small edit to the dry erase template.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQNOeXIEfYBE-OINLb4w8OAsZZylAZ15UZBJYmqqGfKPlu7nKCNAuAggWhhW5W9JAJivACByyiy2m5eC8qfx0I_KAJ2NBTgxRo9aJJr3i9-RCIJzJRhTV4F-EjV1xQoXqOpv5KN6GqohSO/s1600/WS+3.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="537" data-original-width="412" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQNOeXIEfYBE-OINLb4w8OAsZZylAZ15UZBJYmqqGfKPlu7nKCNAuAggWhhW5W9JAJivACByyiy2m5eC8qfx0I_KAJ2NBTgxRo9aJJr3i9-RCIJzJRhTV4F-EjV1xQoXqOpv5KN6GqohSO/s640/WS+3.png" width="490" /></a></div>
Check out those boxes at the bottom for students to write in the word they found so that you can check their work!<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj91sOPFzNP81UTbyvp3JOnsD6v0eeUwk8sUI9Z3Yu4fYCqQA-0vIFU3brtH7Z5cYQORE5tQECzmPY40OT9puH3JLZYg-WFNdanKZYaolc4TPWKmPxSBrE6MY6dFKyAb5hFuPcaT1eBQ7gX/s1600/Group+Work+Slip.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="206" data-original-width="640" height="206" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj91sOPFzNP81UTbyvp3JOnsD6v0eeUwk8sUI9Z3Yu4fYCqQA-0vIFU3brtH7Z5cYQORE5tQECzmPY40OT9puH3JLZYg-WFNdanKZYaolc4TPWKmPxSBrE6MY6dFKyAb5hFuPcaT1eBQ7gX/s640/Group+Work+Slip.png" width="640" /></a></div>
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I've done quite a few of this style of activity in my classroom. One things my students always struggle with is keeping track of which challenges they have completed. To help them in this regard, I usually try to provide students with a small slip of paper to track their progress. You can use this in several ways. Students can track their own progress. If you have a highly motivated group of students, you could take yourself out of the equation and not require students to check their solutions with you. They would just mark off their completed challenge on their tracking sheet and grab a new challenge from the table.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivm2Jl7xh0o90OjcmwiPAOSmkGcPru-JtyWQa-9iaMg5JyVQW0k7ybW87hxfsZqkYddh6OmDg2FCFbvlurzzRlZW-DiDW_XtlnvPtParDxGhJlInzkPBIuwQO3C_aQxaX01Ie4MCVZALH_/s1600/IMG_20200430_160513290_2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivm2Jl7xh0o90OjcmwiPAOSmkGcPru-JtyWQa-9iaMg5JyVQW0k7ybW87hxfsZqkYddh6OmDg2FCFbvlurzzRlZW-DiDW_XtlnvPtParDxGhJlInzkPBIuwQO3C_aQxaX01Ie4MCVZALH_/s640/IMG_20200430_160513290_2.jpg" width="640" /></a></div>
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If you students need a bit more external motivation, you can use a stamp to mark their sheets as they finish each challenge. Initials work fine for this as well. I also sometimes break out my trusty single hole punch to mark which challenges students have completed. I often use these tracking sheets to give a participation grade of sorts for activities. I decide on a number of challenges that students must complete to receive "full credit." If groups exceed this number of challenges, I give them a minor amount of extra credit.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2vV0EaqUfk_YC12wVgi9tO_UUOTCwJkkZpOm-ndBo-5GGx4BDgXB-uLljsLDIyNzNbaF7pSKwDUhFItzHNgeYrLLD-Ku3DhR_cDoCWuTQdQRTkxPyT8QF5Lc5uE_xxdxHuN2bSBEiwMJV/s1600/IMG_20200430_160556668_2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2vV0EaqUfk_YC12wVgi9tO_UUOTCwJkkZpOm-ndBo-5GGx4BDgXB-uLljsLDIyNzNbaF7pSKwDUhFItzHNgeYrLLD-Ku3DhR_cDoCWuTQdQRTkxPyT8QF5Lc5uE_xxdxHuN2bSBEiwMJV/s640/IMG_20200430_160556668_2.jpg" width="640" /></a></div>
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Another perk of doing this as a small-group activity instead of just a worksheet is that it gives the teacher more control over the challenge. Maybe horizontal stretches and compressions are outside of the content of your course. Just pick out the transformations that you want to use with your students and ignore the rest. There will be letters on the coordinate plane that your students never use, but that's completely fine.<br />
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Or maybe you want to do this a whole class activity. Give each student a copy of the graph in a dry erase pocket. Project a transformation on the screen. Then every student can attempt it at the same time.<br />
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I love that each teacher can put their own sort of spin on this activity to try and meet their students' specific needs. I can't wait to see what you guys come up with!<br />
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One last thing. I have included a blank answer key in the file for this activity. I have intentionally NOT included the answers on the key. I have two reasons for doing so. First, my students are master googlers. I've lost count of the number of times students have discovered I have a blog because they have gone searching for the answers to an activity I created. Even more importantly, I don't think any teacher should be using this activity in their classroom if they haven't worked through it themselves. So, print off the blank answer key, and give the activity a try yourself. Enjoy!<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiU0Aw8AhbMW581cL9YHlFYJzuCFM7njP0Ak131_zctSg2MLbt812wYDaoGIlhpfbwuW4gVrLmN1H0nIKfJiAPJncfiWdlYaYYiojarlDA7-Z_kpCcXqhkOoYa-6B0D5zhS93QaKizMMFDo/s1600/Key.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="588" data-original-width="453" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiU0Aw8AhbMW581cL9YHlFYJzuCFM7njP0Ak131_zctSg2MLbt812wYDaoGIlhpfbwuW4gVrLmN1H0nIKfJiAPJncfiWdlYaYYiojarlDA7-Z_kpCcXqhkOoYa-6B0D5zhS93QaKizMMFDo/s640/Key.png" width="492" /></a></div>
Want the files for this activity? You can download them <a href="https://app.box.com/s/qh9ew9ln19hxrgn74q8sogpltpz3i2rd">here</a>.<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com6tag:blogger.com,1999:blog-1091979517567705761.post-56373664117348361112020-04-27T15:25:00.000-05:002020-04-27T15:25:23.793-05:00Monday Must Reads: Volume 64Last week, I sat down to compile a new volume of Monday Must Reads. Then, I realized it was a Tuesday that just *felt* like a Monday. And, with that realization, all my motivation went right out the window. I'm 97% sure that it's Monday, so let's delve into the world of my recent twitter likes. This is my semi-regular attempt at capturing the amazing ideas of math teacher twitter. I hope you find an inspiring idea or two!<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1bFV4MqOb3wboxr53AX09NBVcJTCvlUS1p1tGXIqec_X3WGFOls3uHgFB64oCC8U_YRcm8tGZ_QaUN8TqJwueMAwSoXUYufvj2OFCeOkHTWsYQMRTJesFnof_M9SH5WlFpmh6PBsU6wg9/s1600/Monday+Must+Reads.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="800" data-original-width="800" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1bFV4MqOb3wboxr53AX09NBVcJTCvlUS1p1tGXIqec_X3WGFOls3uHgFB64oCC8U_YRcm8tGZ_QaUN8TqJwueMAwSoXUYufvj2OFCeOkHTWsYQMRTJesFnof_M9SH5WlFpmh6PBsU6wg9/s320/Monday+Must+Reads.png" width="320" /></a></div>
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<a href="https://twitter.com/howie_hua/">Howie Hua</a> has been on a roll lately with his clever mathematical memes and tweets. Need more entertainment and inspiration in your life? I'd definitely recommend giving him a follow on twitter!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj2K5maS8R6dMSMqTmIwvO_fsms2e_iQtVwKB-nfiGkKjFL0VM1VYekZRXxeHWCP2VeGuebGnEN1CWmJ_kUqe8qlOeBfikVB6_s-UdO0V8PeI2lu08JcjUA5WAd-CKWdcjZCyVwMG36ap1a/s1600/Howie+Hua+2.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="333" data-original-width="587" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj2K5maS8R6dMSMqTmIwvO_fsms2e_iQtVwKB-nfiGkKjFL0VM1VYekZRXxeHWCP2VeGuebGnEN1CWmJ_kUqe8qlOeBfikVB6_s-UdO0V8PeI2lu08JcjUA5WAd-CKWdcjZCyVwMG36ap1a/s1600/Howie+Hua+2.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/howie_hua/status/1253476512545693696">https://twitter.com/howie_hua/status/1253476512545693696</a></td></tr>
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This are some lovely Open Middle Tasks from <a href="https://twitter.com/HarringtonWMC/">Dana Harrington</a>. They're perfect for the Algebra 2/Pre-Calculus classroom!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdMuhzfY7JQxGpEIqQp6gFg4X46Y4zFC_JF0XKnzrSZVVwObas0mA3frPkenlp-djCK_JLFVIWgSvumxrhyphenhyphenIGH7VMWCOlKhe8qmSfVGrUD-9O0afzHbwP0WngvO8PkiejcLybvQenWPEix/s1600/Dana+Harrington+3.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="309" data-original-width="587" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdMuhzfY7JQxGpEIqQp6gFg4X46Y4zFC_JF0XKnzrSZVVwObas0mA3frPkenlp-djCK_JLFVIWgSvumxrhyphenhyphenIGH7VMWCOlKhe8qmSfVGrUD-9O0afzHbwP0WngvO8PkiejcLybvQenWPEix/s1600/Dana+Harrington+3.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/HarringtonWMC/status/1252717736402321413">https://twitter.com/HarringtonWMC/status/1252717736402321413</a></td></tr>
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwYCua-388LYEtaG2nALqBMmfrFpmQRFGkn-73YOEJNf5eV2tHb4dGgc0DVGkl1Mf8at9nRJ3CktHgmEefcs97aLVLFwvUKGjkhiS75fNARvjsG8Bi7_O7WzFBxsK-uV-iwDXmrXwmijNJ/s1600/Dana+Harrington+4.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="283" data-original-width="583" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwYCua-388LYEtaG2nALqBMmfrFpmQRFGkn-73YOEJNf5eV2tHb4dGgc0DVGkl1Mf8at9nRJ3CktHgmEefcs97aLVLFwvUKGjkhiS75fNARvjsG8Bi7_O7WzFBxsK-uV-iwDXmrXwmijNJ/s1600/Dana+Harrington+4.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/HarringtonWMC/status/1252677837913567232">https://twitter.com/HarringtonWMC/status/1252677837913567232</a></td></tr>
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjliCUVN1kQLswuyBPhkNhuGMvUVUs3r-YaCkY907Uahg33ieDBs4DgXozxxfcc8JZAjOeWr1pCSREqv4Bo0IwM6Q-aaUXW6dp8jwNlso0i3uH1cvZkQmt-ytOxenYScfvo6P9r1QGSjwES/s1600/Dana+Harrington+5.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="401" data-original-width="586" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjliCUVN1kQLswuyBPhkNhuGMvUVUs3r-YaCkY907Uahg33ieDBs4DgXozxxfcc8JZAjOeWr1pCSREqv4Bo0IwM6Q-aaUXW6dp8jwNlso0i3uH1cvZkQmt-ytOxenYScfvo6P9r1QGSjwES/s1600/Dana+Harrington+5.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/HarringtonWMC/status/1222631781750525957">https://twitter.com/HarringtonWMC/status/1222631781750525957</a></td></tr>
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<a href="https://twitter.com/druinok">@druinok</a> shares an excellent teacher hack for these times of distance learning.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBybjcvvSjUMyG9LTNU3JwzIm8uqcVN1-_M5cJ7iZPjarPufBuMt19waJEmD8MQM40YogoOhiYeT5tc9XlSDlGk4h4ARdUMM6LqVyPfgw0msDCrqMs9WxslBN_Tc7pbSxxM1B6fytLyNn7/s1600/Druin+4.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="149" data-original-width="591" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBybjcvvSjUMyG9LTNU3JwzIm8uqcVN1-_M5cJ7iZPjarPufBuMt19waJEmD8MQM40YogoOhiYeT5tc9XlSDlGk4h4ARdUMM6LqVyPfgw0msDCrqMs9WxslBN_Tc7pbSxxM1B6fytLyNn7/s1600/Druin+4.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/druinok/status/1252727935024455680">https://twitter.com/druinok/status/1252727935024455680</a></td></tr>
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Thanks to <a href="https://twitter.com/HSE_physics">HSE Physics</a>, I now know of the existence of <a href="http://autodraw.com/">Autodraw.com</a>. And, now you do, too. I tried it out, and I have to say I'm impressed.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiw1KaLk-F6oP3x-Tvap09TeU9mlLD1j8yqt1qv24O6_wtlBi4AePp-rT28Xtnzqnmm-Mav9RT9jVyQJQH-IGFvRQGw_4_rvHYdVE-1XdCwVoSIsfffTCIq8pb6H4iQgNe1O35f_ooIGkb_/s1600/HSE+Physics.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="386" data-original-width="586" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiw1KaLk-F6oP3x-Tvap09TeU9mlLD1j8yqt1qv24O6_wtlBi4AePp-rT28Xtnzqnmm-Mav9RT9jVyQJQH-IGFvRQGw_4_rvHYdVE-1XdCwVoSIsfffTCIq8pb6H4iQgNe1O35f_ooIGkb_/s1600/HSE+Physics.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/HSE_physics/status/1251818988826476544">https://twitter.com/HSE_physics/status/1251818988826476544</a></td></tr>
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Check out this beautiful origami display from <a href="https://twitter.com/c0mplexnumber/">Clarissa Grandi</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8HzG63xp9KYDKIQNEUmY6gXxbSTOVay0RtgF3go2jRu39gdXo4BBrP1OQB6Y8_Vk0pMJJuq3uhzsxmV9SRtks92VEPhcxVARoryrQ0YP9myaRmMkjUKudp67W3tCs1BHJHceWzcCAI6kO/s1600/Clarissa+Grandi+3.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="467" data-original-width="579" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8HzG63xp9KYDKIQNEUmY6gXxbSTOVay0RtgF3go2jRu39gdXo4BBrP1OQB6Y8_Vk0pMJJuq3uhzsxmV9SRtks92VEPhcxVARoryrQ0YP9myaRmMkjUKudp67W3tCs1BHJHceWzcCAI6kO/s1600/Clarissa+Grandi+3.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/c0mplexnumber/status/1250441146817343489">https://twitter.com/c0mplexnumber/status/1250441146817343489</a></td></tr>
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<a href="https://twitter.com/saravdwerf">Sara VanDerWerf</a> shares a thought-provoking image for your geometry classes to ponder.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiG6C7-BocbO5tu-A8sDu5fxm2JfwCX7xnfvaPgV-1g1MYxeUjxjleVEOClC8kefOT7NB75x0y15rLQswVPSf6mr5usYLZgN3YFYJGgPHE_gpYuMpfUVyxVFSO0gBAoSb_CSm7Xr4TVBT9W/s1600/Sara+VanDerWerf+2.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="349" data-original-width="582" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiG6C7-BocbO5tu-A8sDu5fxm2JfwCX7xnfvaPgV-1g1MYxeUjxjleVEOClC8kefOT7NB75x0y15rLQswVPSf6mr5usYLZgN3YFYJGgPHE_gpYuMpfUVyxVFSO0gBAoSb_CSm7Xr4TVBT9W/s1600/Sara+VanDerWerf+2.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/saravdwerf/status/1250218928460247047">https://twitter.com/saravdwerf/status/1250218928460247047</a></td></tr>
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If you haven't seen this bad graph floating around social media, zoom in and give the y-axis a nice view. Thanks for sharing, <a href="https://twitter.com/MarekGierlinski/">Marek Gierlinski</a>!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJ3j0eK_hFTzI9oj6xaWKGHAz4ZTpTJU4gxb5Iuh44AzbCZrfgqXoFjFbHVMzEjDl04v8r686T_gLWw5Lzevn3J7LPMNEftnKoapTYIjEQzWOIoFyLbVOwNw9MVvezw8rXJlKUY7OZv9X7/s1600/Marek+Gierlinski.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="350" data-original-width="587" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJ3j0eK_hFTzI9oj6xaWKGHAz4ZTpTJU4gxb5Iuh44AzbCZrfgqXoFjFbHVMzEjDl04v8r686T_gLWw5Lzevn3J7LPMNEftnKoapTYIjEQzWOIoFyLbVOwNw9MVvezw8rXJlKUY7OZv9X7/s1600/Marek+Gierlinski.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/MarekGierlinski/status/1246433996612997122">https://twitter.com/MarekGierlinski/status/1246433996612997122</a></td></tr>
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<a href="https://twitter.com/dandersod/">Dan Anderson</a> shares a brilliant way to have students open up about ways you can up your teacher game to be a more effective educator.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg83cUSS6pKdQyF1y2tJAYF_oxdwNhmT9_oQv8pEoQKh4-yFL-YrBTWbM5fIbaU8N8p6SRxVVFLjy5a-7ouOcqrFeUeBn7wTv1gR7AQHGcA0HJafibTfrlptIBWtMKsJ5D1gv95UrGNp5IT/s1600/Dan+Anderson.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="470" data-original-width="588" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg83cUSS6pKdQyF1y2tJAYF_oxdwNhmT9_oQv8pEoQKh4-yFL-YrBTWbM5fIbaU8N8p6SRxVVFLjy5a-7ouOcqrFeUeBn7wTv1gR7AQHGcA0HJafibTfrlptIBWtMKsJ5D1gv95UrGNp5IT/s1600/Dan+Anderson.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/dandersod/status/1246424172651261958">https://twitter.com/dandersod/status/1246424172651261958</a></td></tr>
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Teaching graphing angles in standard position? Check out this game from <a href="https://twitter.com/bowmanimal/">Bowman Dickson</a>.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLsiUXinjYrDs9_NZyob3g5XUkf3YSeOBMXvTEr_0w5MuGrclCW5EkIStqn6QrXGSQWVoZwz9E42p4GdW1NbgMvm70Lkh-2YB5Omjb0ylr01tTo-cL37dxs5miI04gOIScAZXbBZg3E0ci/s1600/Bowman+Dickson+1.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="424" data-original-width="597" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLsiUXinjYrDs9_NZyob3g5XUkf3YSeOBMXvTEr_0w5MuGrclCW5EkIStqn6QrXGSQWVoZwz9E42p4GdW1NbgMvm70Lkh-2YB5Omjb0ylr01tTo-cL37dxs5miI04gOIScAZXbBZg3E0ci/s1600/Bowman+Dickson+1.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/bowmanimal/status/1222961660098482176">https://twitter.com/bowmanimal/status/1222961660098482176</a></td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjAlrQ0HCFFtJnNe69JAw_QUzQS-lGhkQILCsXkRMCzss-RT67z4Mowf0hQ5AJE6TQl8ni8bNLLYibiXtMoQ5x-4ORbZDLzaxgl7j-z76ZmiqtV4ftlxsho83CcoSJzcBHXoWrnJE7iWhzK/s1600/Bowman+Dickson+2.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="480" data-original-width="583" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjAlrQ0HCFFtJnNe69JAw_QUzQS-lGhkQILCsXkRMCzss-RT67z4Mowf0hQ5AJE6TQl8ni8bNLLYibiXtMoQ5x-4ORbZDLzaxgl7j-z76ZmiqtV4ftlxsho83CcoSJzcBHXoWrnJE7iWhzK/s1600/Bowman+Dickson+2.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Image Source: <a href="https://twitter.com/bowmanimal/status/1222961660098482176">https://twitter.com/bowmanimal/status/1222961660098482176</a></td></tr>
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Until next time, keep sharing your awesome ideas!<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0tag:blogger.com,1999:blog-1091979517567705761.post-72231515649126442582020-04-24T11:17:00.001-05:002020-04-24T11:17:07.649-05:00Connect the Dots Puzzle from Puzzle Box, Volume 2Today I want to share a lovely puzzle with you courtesy of Erich Friedman in <a href="https://amzn.to/3537t8A">Puzzle Box, Volume 2</a> (affiliate link). If you love puzzles like this, you should definitely check out <a href="https://www2.stetson.edu/~efriedma/puzzle/index.html">Erich's Puzzle Palace</a> which is chock-full of amazing puzzles.<br />
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<a href="https://amzn.to/3537t8A"><img border="0" data-original-height="499" data-original-width="375" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgE5zdZSzICX4tWcefqAXnWEFUgBGJzGXAR3Uc_UO3z1U_JEzhdhO1H41i0keFQzgUFLcGGI3nzeUBRnKS7ofnsCl86-kgfqck19XrBCsVyamOwkktCEOkulHjBvfiJ9q_5Xz3By4JP03Kc/s320/61xBize3oXL._SX373_BO1%252C204%252C203%252C200_.jpg" width="240" /></a></div>
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All <a href="https://amzn.to/3cLdnhc">three of the books in this series</a> (affiliate link) have been a lovely addition to my classroom. I highly recommend them!<br />
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<a href="https://amzn.to/3537t8A"><img border="0" data-original-height="600" data-original-width="970" height="394" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSjKYGq50_i9veD0QGIywc1RNpt7JjLJxihZGRo0oC7SePqV55mEmG6MGFvgciS2hvLeD0-cMp-bFIhMxM2fGpswO3z1VqddP-Sp730UmUoZ-NOzVrBnHb0Nf6XFRzruUyhHHBNFWqXOXU/s640/16c5ad7e-781f-487a-9610-a3a242fe8d02.__CR0%252C0%252C970%252C600_PT0_SX970_V1___.jpg" width="640" /></a></div>
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This puzzle is absolutely perfect for placing in a dry erase pocket. Want dry erase pockets for your classroom but don't want to pay a premium? Here's a little shopping tip for you. Search for "<a href="https://amzn.to/2ztUhxZ">shop ticket holders</a>" instead of "dry erase pockets." They are the exact same thing, but since they are marketed towards car repair shops to keep their invoices clean, they are often SO MUCH CHEAPER.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYcJxi6PFKfX11KXRftSCviACnlUl0kerWM2hgTpccSBeBoa1ol0uxFnWyRSSxVwLqza8_z-ZepUneuptC89RiqNNO2hPQIqV_x6O26QvRY7F2xrPLt19qeR856R2RVnxzQl85Fvr_ntvI/s1600/Connect+the+Dots+5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYcJxi6PFKfX11KXRftSCviACnlUl0kerWM2hgTpccSBeBoa1ol0uxFnWyRSSxVwLqza8_z-ZepUneuptC89RiqNNO2hPQIqV_x6O26QvRY7F2xrPLt19qeR856R2RVnxzQl85Fvr_ntvI/s640/Connect+the+Dots+5.jpg" width="480" /></a></div>
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Students are given a square full of dots and the following instructions. Connect the dots below into a collection of triangles. The triangles should not touch or overlap, and each triangle should have three different edge lengths.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSIqgIRWstgyD255BehDtjOluO5bg10kH58WIM09GbogkE3KtOfVg06mCI6JONjWA0tTZE7shLMHApViQ7Yy6WyxBQ9U9KxwIoodIud_NCJiwiPFqPcwDwhIzC6URFfo7xNlN_bKJWUhKw/s1600/Connect+the+Dots+4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSIqgIRWstgyD255BehDtjOluO5bg10kH58WIM09GbogkE3KtOfVg06mCI6JONjWA0tTZE7shLMHApViQ7Yy6WyxBQ9U9KxwIoodIud_NCJiwiPFqPcwDwhIzC6URFfo7xNlN_bKJWUhKw/s640/Connect+the+Dots+4.jpg" width="640" /></a></div>
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Grab your dry erase marker so we can give this a try. Our first triangle. Check. Remember to make sure that the three side lengths are all different. Check.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdJ6m6JlgKUXirN_Z_6q20gI9NbvnqIc1Ps1sm4lo5TjhyphenhyphenDeXrUoBeVfeAUxtsUNX0pgCVnUL9sbVP15IbxjDRtPf7XN__vBICLsXKI5u_juwUFc8NGlw0TrWbpAyQll8vlu43gniuc-cj/s1600/Connect+the+Dots+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdJ6m6JlgKUXirN_Z_6q20gI9NbvnqIc1Ps1sm4lo5TjhyphenhyphenDeXrUoBeVfeAUxtsUNX0pgCVnUL9sbVP15IbxjDRtPf7XN__vBICLsXKI5u_juwUFc8NGlw0TrWbpAyQll8vlu43gniuc-cj/s640/Connect+the+Dots+3.jpg" width="480" /></a></div>
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And, we can conveniently use the three dots to the right to make our second triangle. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwlKv184WW-CrP9KN2fgFQr1nuGZWMeo8NdXjjkLXt-ouJwxzNtCUQa6IjOuwZ6cZ4ZBIeBGe_F8GMAEMvahK2ics3pr8iEMiNlZv2XmgSGCdY62OjZIeu9cmnzM5JxAVSJuXPFg0fOJmR/s1600/Connect+the+Dots+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwlKv184WW-CrP9KN2fgFQr1nuGZWMeo8NdXjjkLXt-ouJwxzNtCUQa6IjOuwZ6cZ4ZBIeBGe_F8GMAEMvahK2ics3pr8iEMiNlZv2XmgSGCdY62OjZIeu9cmnzM5JxAVSJuXPFg0fOJmR/s640/Connect+the+Dots+2.jpg" width="480" /></a></div>
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Oh no! It's an isosceles triangle which means two of the side lengths are the same. It looks like we are going to have to start all over. </div>
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And start over, I did. Things were going well until I realized I had a leftover dot in the bottom left corner. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijGIdwAVKAJUpU6UFQ3PqepbY-r5Xp1pFOmEOLF1I1znVco7k0Bs8ED5XJDVY08JT9GS3TDrbVlD_EwP7NWNEOzEzhme9f6U3ZveYE7iLIHdtTxk-9luq86Jjmfhbs41I-526QTYr7Em7D/s1600/Connect+the+Dots+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijGIdwAVKAJUpU6UFQ3PqepbY-r5Xp1pFOmEOLF1I1znVco7k0Bs8ED5XJDVY08JT9GS3TDrbVlD_EwP7NWNEOzEzhme9f6U3ZveYE7iLIHdtTxk-9luq86Jjmfhbs41I-526QTYr7Em7D/s640/Connect+the+Dots+1.jpg" width="480" /></a></div>
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I guess it's up to you to try and solve the puzzle! You can download a printable version to use this puzzle in your classroom <a href="https://app.box.com/s/w2wqmgzptrqsiwr2yhgmceputorws043">here</a>. And, in this day and age of distance learning, I can also see importing this into a Desmos Activity Builder and having students use the sketch feature to solve it!<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0tag:blogger.com,1999:blog-1091979517567705761.post-54417079244577907662020-04-23T19:08:00.000-05:002020-04-23T19:15:30.922-05:00Combining Sets ChallengeMy brain has finally started letting me think about next school year. Of course, I'm not thinking about it TOO much yet. For one thing, this school year is still ongoing, at least for a couple more weeks. Due to COVID-19, our students' last day is May 8th. We started distance learning on April 8th. It doesn't feel like real teaching, though, because I'm so limited in the scope of what I can do. Then, there's also the fact that I don't know exactly 100% what I'm teaching next year. I don't want to get too enthused with planning and end up creating resources for a course I'm not teaching.<br />
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I'm pretty sure I'll still be teaching Algebra 2 next year, though, so I've been flipping through what we did this year to get my mind thinking about what worked and what could use some major tweaking. This year, I used the <a href="https://primefactorisation.com/blog/2020/03/25/algebra-2-class-notes-v-0-3/">fill-in-the-blank Algebra 2 notes</a> that <a href="http://twitter.com/theshauncarter">my husband</a> wrote last summer that are 100% aligned to the Oklahoma Standards. (Because OK decided to trash common core before ever actually teaching common core, it's hard to find things that actually align to what the state says we're supposed to be teaching. Don't get me started on the textbooks my district adopted that claimed to be Oklahoma aligned...)<br />
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Sadly, I didn't get to teach all the way through Shaun's Algebra 2 notes. But, I loved the lessons that my students did get to experience. This set of notes is incredibly cohesive and well-thought-out. I feel like I understand mathematics more deeply as a result of working through them. And, this is coming from someone with a degree in mathematics. I've always looked at Algebra 2 as a very choppy subject. It's always felt like a mish-mash of all the topics that we want to fit in while students are still in high school. This year (my sixth year teaching Algebra 2) was the first time I've ever really felt like I was teaching a well-rounded subject and not a thrown together at the last minute course.<br />
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That was the good. The not so good? Shaun's Algebra 2 Notes/Curriculum is quite unlike most other curriculum resources you can find here in the United States. (I guess that's what happens when you take someone who was educated in Australia where maths class looks entirely different from the US and let him put his own spin on the Oklahoma Algebra 2 standards.) It was hard to find practice assignments and activities that were of the same rigor as the notes. And, it was a year-long frustrating experience trying to write satisfactory assessments. Ideally, I would have unlimited time to write my own assessments (with five different versions and five different answer keys). Sadly, I still haven't figured out that unlimited time aspect. So I did my best to find pre-written questions that matched up in the test banks I have access to. Each assessment, though, left me feeling completely unsatisfied and wanting to rip it to shreds and start over. As a result, I feel like quality assessment is an area that I really dropped the ball in this year.<br />
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I ended up making a few new activities here and there, but this was hard to do with a baby at home. Again, how amazing it would be to have unlimited time... What few activities I did make, I never got around to blogging about. That's what I'm here to try and start remedying today. Then, I can hopefully start making some new activities for next year!<br />
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Instead of beginning Algebra 2 with the traditional Algebra 1 review, Shaun takes a different approach and jumps straight into some basic set theory. We learned enough new symbols to boggle my students' brains for a few days.<br />
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We tackled element/not an element notation. </div>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj40ld1pjZm2MuQC6hRlLh5qmXqv9Rxn5tbSc6qDHgCHw5n01ufHIzlxjO-NpRoZGRggqbAxOZYY_Qzn-5Yy6MbEExyaCv1uH4TwSq5mrRkxiOxZQjwXR6qYjzBhrsVCHzIp7zz7jpMEuMa/s1600/1.1+A.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="584" data-original-width="730" height="512" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj40ld1pjZm2MuQC6hRlLh5qmXqv9Rxn5tbSc6qDHgCHw5n01ufHIzlxjO-NpRoZGRggqbAxOZYY_Qzn-5Yy6MbEExyaCv1uH4TwSq5mrRkxiOxZQjwXR6qYjzBhrsVCHzIp7zz7jpMEuMa/s640/1.1+A.png" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Source: <a href="https://primefactorisation.com/blog/2020/03/25/algebra-2-class-notes-v-0-3/">https://primefactorisation.com/blog/2020/03/25/algebra-2-class-notes-v-0-3/</a></td></tr>
</tbody></table>
<div class="separator" style="clear: both; text-align: left;">
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We discussed the subsets of the Real Number System and their fun symbols.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiyFOVz-2Ghns7vOMGynLqp_wiffHy70i9SRvNFoYgmoz7tnLfPbwNUenLu96w81s8AqX5OPnduA9xEZfTAqBrLX8CCv-lpX8RbUGAoH0aUUwmfIjWoaXVcrIhhWGEdGPv__YB11tEAIY68/s1600/1.1+B.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="452" data-original-width="736" height="392" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiyFOVz-2Ghns7vOMGynLqp_wiffHy70i9SRvNFoYgmoz7tnLfPbwNUenLu96w81s8AqX5OPnduA9xEZfTAqBrLX8CCv-lpX8RbUGAoH0aUUwmfIjWoaXVcrIhhWGEdGPv__YB11tEAIY68/s640/1.1+B.png" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Source: <a href="https://primefactorisation.com/blog/2020/03/25/algebra-2-class-notes-v-0-3/">https://primefactorisation.com/blog/2020/03/25/algebra-2-class-notes-v-0-3/</a></td></tr>
</tbody></table>
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And, we found the intersection, union, and difference of various sets.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEie3ICvSKg0imuLyEILavY-n58k4hfLYPqFTjkI3LQSDzOSUZnk2TQ4SgDyAuaJC28VwpVjXcjXHadJPXL2E3p55vEInqzdL4c1O5GoGEZG-k4PGIqgue3TyH9lOrxf6Pjv9kKROtHmuczU/s1600/1.1+C.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="329" data-original-width="760" height="276" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEie3ICvSKg0imuLyEILavY-n58k4hfLYPqFTjkI3LQSDzOSUZnk2TQ4SgDyAuaJC28VwpVjXcjXHadJPXL2E3p55vEInqzdL4c1O5GoGEZG-k4PGIqgue3TyH9lOrxf6Pjv9kKROtHmuczU/s640/1.1+C.png" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Source: <a href="https://primefactorisation.com/blog/2020/03/25/algebra-2-class-notes-v-0-3/">https://primefactorisation.com/blog/2020/03/25/algebra-2-class-notes-v-0-3/</a></td></tr>
</tbody></table>
I knew at this point that my students were going to be in definite need of some practice with all these new symbols. This led to the creation of my Combining Sets Challenge.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLLTuiaedP_NcKHbvAf9hJE6vWG9U3ceEyZACL9cqHUjFAgngLNZnZ9PwS8_M2bQmsfGr4Qnil-OG9-9v7ayJ7rk3oQqeOUgZ0ZgQXDWt4VS5nm_N7VXjJE1Mlog72U8VIU7kStLRAUOQi/s1600/Combining+Sets+Challenge+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLLTuiaedP_NcKHbvAf9hJE6vWG9U3ceEyZACL9cqHUjFAgngLNZnZ9PwS8_M2bQmsfGr4Qnil-OG9-9v7ayJ7rk3oQqeOUgZ0ZgQXDWt4VS5nm_N7VXjJE1Mlog72U8VIU7kStLRAUOQi/s640/Combining+Sets+Challenge+3.jpg" width="640" /></a></div>
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This group activity involves nine separate challenges were students must figure out how to combine the given sets A, B, C, D, and E using intersection, union, and set difference symbols to create nine new sets of numbers.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEip4l_uofeZC1g1rr8s4TLeXAgrlO0mA_ICLMafrYY_fYIkXBnALvuHSLZRlY9LWboBpbQRLTZnY6EAqIlrGH4cKi5tuBDsMgK_xSno4M-tp6BiiLgzw08eUl0UGLRP45NvlaOaUgSMR6fT/s1600/Combining+Sets+Challenge+6.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEip4l_uofeZC1g1rr8s4TLeXAgrlO0mA_ICLMafrYY_fYIkXBnALvuHSLZRlY9LWboBpbQRLTZnY6EAqIlrGH4cKi5tuBDsMgK_xSno4M-tp6BiiLgzw08eUl0UGLRP45NvlaOaUgSMR6fT/s640/Combining+Sets+Challenge+6.jpg" width="640" /></a></div>
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Each group is given a laminated sheet of paper defining sets A through E.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSaAWJfDtKMhPIzOKTReFKGAZnfqkDppS5-ANPe06ahxKR6NDKveB7lx9FyweGPPjR51S-fyd1cmcR5_uxJ8Ep_2TIuR6MbFGXO7AJ9x2c7Vh2W2nI5Fsb8xbiJLm0p-jcKoHnZBS4mb2R/s1600/Combining+Sets+Challenge+5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSaAWJfDtKMhPIzOKTReFKGAZnfqkDppS5-ANPe06ahxKR6NDKveB7lx9FyweGPPjR51S-fyd1cmcR5_uxJ8Ep_2TIuR6MbFGXO7AJ9x2c7Vh2W2nI5Fsb8xbiJLm0p-jcKoHnZBS4mb2R/s640/Combining+Sets+Challenge+5.jpg" width="640" /></a></div>
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Each of the nine challenges is printed on a separate card.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXWRFGbtaMmXePc9OUBxqRUwVI0UddEtVo1unuWeon4U3MoYzmTwvQaRC-dlcvoxSmth50XbgAZNIZd-wxjRPFb8VdbOUqUP578BB7v8oWIX0Qpxz5Fx7yHnMljOWVUI5pMzxIJLnyN4cK/s1600/Combining+Sets+Challenge+7.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1024" data-original-width="896" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXWRFGbtaMmXePc9OUBxqRUwVI0UddEtVo1unuWeon4U3MoYzmTwvQaRC-dlcvoxSmth50XbgAZNIZd-wxjRPFb8VdbOUqUP578BB7v8oWIX0Qpxz5Fx7yHnMljOWVUI5pMzxIJLnyN4cK/s640/Combining+Sets+Challenge+7.jpg" width="560" /></a></div>
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I also gave each group a strip of paper to write the names of their group members on. Then, as each group completed a challenge, I would initial the box of the challenge they had completed or use a hole punch to punch a hole in the appropriate box.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmnErKk5NxoESStN_LZYBjHzklKK64mZ2XSM6ZgHfAGO_9zctWTyJWRz-qvtkc24_-Uw5h-GK7Qdaugwvjcyxjunf0OAZvDC-xxC2z7O8atG58Q3H4RN_VHvjj6BO3BbItJLeDRYfTmiZ0/s1600/Combining+Sets+Challenge+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmnErKk5NxoESStN_LZYBjHzklKK64mZ2XSM6ZgHfAGO_9zctWTyJWRz-qvtkc24_-Uw5h-GK7Qdaugwvjcyxjunf0OAZvDC-xxC2z7O8atG58Q3H4RN_VHvjj6BO3BbItJLeDRYfTmiZ0/s640/Combining+Sets+Challenge+2.jpg" width="640" /></a></div>
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Let's take a look at an example challenge. We'll tackle Challenge 3 which is pictured above. Students must find a way to combine the provided sets (A - E) to produce the set {4, 5}. I notice that 4 and 5 are included in both sets A and C. And, conveniently, 4 and 5 are the only numbers included in both sets. Therefore, I can write {4, 5} as A <span style="background-color: white; color: #222222; font-family: "roboto" , "arial" , sans-serif;">⋂ </span><span style="background-color: white; color: #222222;"><span style="font-family: inherit;">C. (The intersection of A and C.) </span></span><br />
<span style="background-color: white; color: #222222;"><span style="font-family: inherit;"><br /></span></span>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiffRXYJ4_H5MJPrR_zNVZGuxb39a9U0atulIaY2Pr9EXtrI9RVrwCdndP9bzaRct5b2lucBPpSql38lnqnlr4vJDHSPR_3UOzl3Y9ZJflO4LXVXGkZWFkp5lFXlo7XGRV7Ce3vJRz7xvxT/s1600/Combining+Sets+Challenge.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiffRXYJ4_H5MJPrR_zNVZGuxb39a9U0atulIaY2Pr9EXtrI9RVrwCdndP9bzaRct5b2lucBPpSql38lnqnlr4vJDHSPR_3UOzl3Y9ZJflO4LXVXGkZWFkp5lFXlo7XGRV7Ce3vJRz7xvxT/s640/Combining+Sets+Challenge.jpg" width="640" /></a></div>
<span style="background-color: white; color: #222222;"><span style="font-family: inherit;"><br /></span></span>
Some of the challenges have exactly one way to solve them. Others can be solved in several different ways. I am intentionally NOT posting an answer key to these nine challenges here because I know from my own students how google-happy they can be when presented with a challenging task.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyRlJfSs3Q6x2VqIOA2aOxGl-zCg6NIf41Qnx7BgRGiF1ur35JHjRJSj9Mg91l245SZKLupUjGSsQVSZP-fY0igmUm_FEG1rUMHZVBpOlE7u_ow7IR4_RP0gD9omSbk9cbv50v_dQKpQSv/s1600/9+Challenges.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="546" data-original-width="719" height="486" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyRlJfSs3Q6x2VqIOA2aOxGl-zCg6NIf41Qnx7BgRGiF1ur35JHjRJSj9Mg91l245SZKLupUjGSsQVSZP-fY0igmUm_FEG1rUMHZVBpOlE7u_ow7IR4_RP0gD9omSbk9cbv50v_dQKpQSv/s640/9+Challenges.png" width="640" /></a></div>
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<br />
I highly, highly, highly recommend that you work through ALL nine challenges yourself before using this activity with students.<br />
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My students really enjoyed this activity. They might have been a little frustrated at the fact that one of the challenges required them to combine THREE different sets. GASP.<br />
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You can download the files for this activity <a href="https://app.box.com/s/rnos9sqmymheh55w158vbggpnawxisxz">here</a>.<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com1tag:blogger.com,1999:blog-1091979517567705761.post-515468569144114742020-04-04T15:59:00.001-06:002020-04-04T15:59:44.876-06:00"Polly"nomialA couple of months ago, my Algebra 2 students were working on polynomials. There was ~10 minutes left at the end of class, and they were in dire need of some good old fashioned practice. So, I had them get out a sheet of notebook paper and work out the problems I was going to write on the dry erase board.<br />
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Except there was an issue. I got to number nine, and I had asked all the different types of questions that I wanted to. But to stop at nine questions seemed weird. I had a split second to decide whether I was going to stop at an odd nine questions or if I was going to think of a tenth question on the fly.<br />
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I chose the latter. For question 10, I asked my students to draw a picture of "Polly"nomial. I didn't elaborate. I just threw the question up on the board to see how my students would take it. When students asked questions, I just shrugged my shoulders and told them that I wanted to see what they would come up with.<br />
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They didn't disappoint. And, it definitely made grading a somewhat boring assignment much more interesting!<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJ6TPlSt_0x41SibCWKK3R3k0Kn7byFI9xjKA3nvB8XdjoqHQpt067aGsnczLcdPVZ0N8vYnc6ehU8zC_jRwFje58gFG6Vn8U-q05y3VqA6Sh5c5KDAssLYACzDr97h-uIxXKEpTyO6bRS/s1600/Polly+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJ6TPlSt_0x41SibCWKK3R3k0Kn7byFI9xjKA3nvB8XdjoqHQpt067aGsnczLcdPVZ0N8vYnc6ehU8zC_jRwFje58gFG6Vn8U-q05y3VqA6Sh5c5KDAssLYACzDr97h-uIxXKEpTyO6bRS/s640/Polly+3.jpg" width="640" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5wkPmsOuj3CKNDOS62YhOvlzBtrxE08FUv141qUkbEKt5ZuAXr-E9Pv8_VFv6PPy4UgnNDH40FIeYZ0XkUjR7UhBTmqZYaJzBRFOj_X3nJf2RmsO6JzyowKkrhqhjPWns3s5oFs8BEdPX/s1600/Polly+4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5wkPmsOuj3CKNDOS62YhOvlzBtrxE08FUv141qUkbEKt5ZuAXr-E9Pv8_VFv6PPy4UgnNDH40FIeYZ0XkUjR7UhBTmqZYaJzBRFOj_X3nJf2RmsO6JzyowKkrhqhjPWns3s5oFs8BEdPX/s640/Polly+4.jpg" width="640" /></a></div>
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0tag:blogger.com,1999:blog-1091979517567705761.post-89251491421843611312020-04-03T12:24:00.000-06:002020-04-03T12:24:07.173-06:00Highlights: Volume 2Welcome to the second ever volume of Highlights on my blog. When I posted Volume 1 in July of 2019, I certainly didn't think I'd be waiting until April of 2020 to post another volume. What's even sadder is that if schools weren't closed due to COVID-19, I'm not sure if the second volume would have ever been posted. Sorry for my inconsistent blogging since becoming a mom.<br />
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This semi-regular blog feature rose out of my feeling of missing out on the amazingness of math teacher twitter when I was pregnant/on maternity leave. I would go weeks at a time without even logging into twitter. And, when I did log in, all I could think about was all that I had missed. I often tweet out resources that I've ran across in books or on the Internet. So I decided I should start capturing these resources on my blog for people to peruse on their own time. So, this is for all of those people who love math resources but (gasp!) actually have a life that means they aren't glued to their twitter feed 24/7/365.<br />
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So, take a scroll, and maybe you'll see something that captures your eye. Or, maybe you're like me, and you'll have seen these posts before and completely forgot about the resources even though you're the person that originally tweeted about the min the first place!<br />
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Want even more ideas? Check out <a href="https://mathequalslove.blogspot.com/2019/07/highlights-volume-1.html">Volume 1 of Highlights here</a>.<br />
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<h2 style="text-align: center;">
A TEN DAY SYLLABUS FOR PRECALCULUS</h2>
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I ran across <a href="https://springssoft.com/downloads/Reading_Journals/Essays/ATD.pdf">this image</a> while searching for something else. It captured so many of the experiences I've had teaching Pre-Calc, that I thought I should share it on Twitter. My tweet was liked 881 times and retweeted 184 times, so I guess it resonated with a bunch of other math teachers as well. <a href="https://twitter.com/ElkFondue">Doug Shaw</a> commented on my tweet to say that he wrote this in 2002 and it was published in The Australian Mathematics Teacher. </div>
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtBqA4GiU8-RPe_EQSzDdr99DherivA4F0hhlvTZmq6cfwLnN-1LVZRG9QVQGhM9kwsseJDXvNPd4wkRgf-avZq3D8zDfMc437i1iIc38VpOZ2GL0SMqrhiJdTDYg_4x2o7oh7XNvaiuXx/s1600/Syllabus.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="560" data-original-width="465" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtBqA4GiU8-RPe_EQSzDdr99DherivA4F0hhlvTZmq6cfwLnN-1LVZRG9QVQGhM9kwsseJDXvNPd4wkRgf-avZq3D8zDfMc437i1iIc38VpOZ2GL0SMqrhiJdTDYg_4x2o7oh7XNvaiuXx/s1600/Syllabus.png" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Source: Doug Shaw (Published in The Australian Mathematics Teacher)</td></tr>
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<h2 style="text-align: center;">
ANGLE TASK</h2>
I really liked this task that I ran across in <a href="https://openlibrary.org/works/OL16056599W/Mathematics_for_the_college_boards"><i>Mathematics for the College Boards</i> by Rich Barnett (Copyright 1967 AMSCO)</a>. If you follow this link, you can "borrow" the book for free as part of the Internet Archive's National Emergency Library. A commenter on twitter said that this type of question used to be standard far on the SAT in the 1970s and 1980s.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdcYpAZpMkLuPs-kL44KOXueW9vrGjLuyjm4EWyTucH3zxNemzoKBHzuexbQ6W8i-CQTxirbeT29pckAzQdjVLv7F69SuM5qJWEt_Ylq9KM5wtlTyyBaz0bLwZSlnmQqtoq2DxN-KBiYCf/s1600/Angle+Task.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="500" data-original-width="844" height="379" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdcYpAZpMkLuPs-kL44KOXueW9vrGjLuyjm4EWyTucH3zxNemzoKBHzuexbQ6W8i-CQTxirbeT29pckAzQdjVLv7F69SuM5qJWEt_Ylq9KM5wtlTyyBaz0bLwZSlnmQqtoq2DxN-KBiYCf/s640/Angle+Task.png" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Source: Mathematics for the College Boards by Rich Barnett (Copyright 1967 AMSCO)</td></tr>
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<h2 style="text-align: center;">
EXPONENT TASK</h2>
This lovely exponent task is from the same book: <a href="https://openlibrary.org/works/OL16056599W/Mathematics_for_the_college_boards"><i>Mathematics for the College Boards</i> by Rich Barnett (Copyright 1967 AMSCO)</a>. If you're looking for matching questions, this book is chock full of them!<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXbFjVc-p2JsG2zFV8disTs3SF83ebsOHWSAy211m-qFgmpNSmkUOasdFo3X1pfKT2uOj-QD1mBtWuptqnuwDMnNJtU2DhDb2PvGRsFbm9w2FosbGOfmZbh8rPDGuC4V4rQhZ7NBhT1Duc/s1600/Exponent+Task.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="249" data-original-width="787" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXbFjVc-p2JsG2zFV8disTs3SF83ebsOHWSAy211m-qFgmpNSmkUOasdFo3X1pfKT2uOj-QD1mBtWuptqnuwDMnNJtU2DhDb2PvGRsFbm9w2FosbGOfmZbh8rPDGuC4V4rQhZ7NBhT1Duc/s640/Exponent+Task.png" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Source: Mathematics for the College Boards by Rich Barnett (Copyright 1967 AMSCO)</td></tr>
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<h2 style="text-align: center;">
TIC-TAC-TOE SQUARED</h2>
I'm super intrigued by this variant of Tic Tac Toe from <a href="https://archive.org/details/giantbookofpuzzl00barr"><i>Giant Book of Puzzles and Games</i> by Sheila Anne Barry</a>. This is another book that you can borrow from the Internet Archive's Open Library for free. If you love using puzzles in your classroom, I get a lot of my puzzle making inspiration from puzzle books that I've borrowed virtually through the Internet Archive.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNwCCby2fxxfZzoAC_N1w6B7HHNxGq8dNcPed2DjZUWysh41rMu8DaAT5BwFUpMQdoeK3sDVwJFDR4jEACsomCJBxPZBTwAnYU9xyYXsek2XHmAgRgGU5ENiJrfWthX0J0XFq3NiGDpX2D/s1600/Tic+Tac+Toe+Squares.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="452" data-original-width="598" height="484" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNwCCby2fxxfZzoAC_N1w6B7HHNxGq8dNcPed2DjZUWysh41rMu8DaAT5BwFUpMQdoeK3sDVwJFDR4jEACsomCJBxPZBTwAnYU9xyYXsek2XHmAgRgGU5ENiJrfWthX0J0XFq3NiGDpX2D/s640/Tic+Tac+Toe+Squares.png" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Source: Giant Book of Puzzles and Games by Sheila Anne Barry</td></tr>
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COUNT THE OBJECTS TASK</h2>
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When I ran across this task last fall, I thought it would make a great classroom activity for anyone needing to collect one variable data to analyze. The task is from <a href="https://archive.org/details/mathematicalbrai0000barr">Stephen Barr's <i>Mathematical Brain Benders: 2nd Miscellany of Puzzles</i></a>.</div>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQId16OBEyArBUWY8bF3Wb_NKbmSwltjWxdkL4iP25Z-V1gkvWmXZTmaqvdtMtqkxbnNtRQoLuJkfU6e2WUeoeDB8wwH7nF-ocWQuyV3zXzrEPHfWm6IAk3k0j1MLpwz3SskdwWIn-XrVn/s1600/Count+the+Objects.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="429" data-original-width="604" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQId16OBEyArBUWY8bF3Wb_NKbmSwltjWxdkL4iP25Z-V1gkvWmXZTmaqvdtMtqkxbnNtRQoLuJkfU6e2WUeoeDB8wwH7nF-ocWQuyV3zXzrEPHfWm6IAk3k0j1MLpwz3SskdwWIn-XrVn/s640/Count+the+Objects.png" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Source: Mathematical Brain Benders by Stephen Barr</td></tr>
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<h2 style="text-align: center;">
QUADRILATERAL TASKS</h2>
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These quadrilateral tasks from <a href="https://amzn.to/2R8IKKo"><i>100 Geometric Games</i></a> by Pierre Berloquin (affiliate link) could spark some great classroom conversation. How many quadrilaterals are in each diagram? </div>
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiplBAcM_rYH3ofFNkOOyTFCgiM36XGlSt5uFqmx2Jg_a7PKaT1qNJK31hRzx81YBNlisNcG3FJz4ssUcRgFEN7fNDKAiUxcgBCbJywADv7rkwtSlLsM713hcquHIDhELD6kDP_WRusInQH/s1600/100+Geometric+1.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="592" data-original-width="1326" height="284" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiplBAcM_rYH3ofFNkOOyTFCgiM36XGlSt5uFqmx2Jg_a7PKaT1qNJK31hRzx81YBNlisNcG3FJz4ssUcRgFEN7fNDKAiUxcgBCbJywADv7rkwtSlLsM713hcquHIDhELD6kDP_WRusInQH/s640/100+Geometric+1.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Source: 100 Geometric Games by Pierre Berloquin</td></tr>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghQfhqSpFGN_RHMzrG8qtj4X6tpXbCJM9a-H8f8oxyCenAqrjHs4nh03UuRrYvA4rM99aWRjTAZDYNzfCrqCiDdbnLuH_eb4PVcRRQmC1OPozIQciEz90swc7D0y0f3bkIOhbj__cbEI_u/s1600/100+Geometric+2.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="605" data-original-width="1333" height="290" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghQfhqSpFGN_RHMzrG8qtj4X6tpXbCJM9a-H8f8oxyCenAqrjHs4nh03UuRrYvA4rM99aWRjTAZDYNzfCrqCiDdbnLuH_eb4PVcRRQmC1OPozIQciEz90swc7D0y0f3bkIOhbj__cbEI_u/s640/100+Geometric+2.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td class="tr-caption" style="font-size: 12.8px;">Source: 100 Geometric Games by Pierre Berloquin</td></tr>
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0tag:blogger.com,1999:blog-1091979517567705761.post-21089015675656310522020-04-02T09:18:00.000-06:002020-04-02T09:18:31.714-06:00Islands Puzzle<div class="separator" style="clear: both; text-align: left;">
Yesterday's post on my <a href="https://mathequalslove.blogspot.com/2020/04/2019s-most-popular-posts.html">most popular blog posts of 2019</a> had me opening lots of different blog posts to copy and paste pictures. One of the things that caught my eye was a blurb I had written about presenting at the Northeast Oklahoma Math Teachers Gathering. I did a one hour presentation on the Puzzling Classroom (which I totally plan to blog about someday...) In preparation for that presentation, I put together a bunch of new puzzles. </div>
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Curiosity got the best of me, and I found the list of puzzles that I had presented at the conference. I was curious just how many of the new puzzles had made it up on the blog. The answer? Not enough! So, I hope you don't get too frustrated at me if I share quite a few puzzles in the next few weeks. The only problem is that the pretty laminated puzzles and puzzle pieces are locked up in my classroom which is locked up in my school which is closed due to COVID-19. So you may just have to live with screenshots of lots of these puzzles until the world calms down and I can update the posts with prettier pictures. </div>
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Today's puzzle does have pretty pictures because I took them a million years ago and just never got around to writing this post. This puzzle is very similar to <a href="http://mathequalslove.blogspot.com/2018/02/the-four-seasons-puzzle-from-puzzle-box.html">The Four Seasons Puzzle</a> and <a href="http://mathequalslove.blogspot.com/2018/01/north-east-south-west-puzzle-from.html">North East South West Puzzle</a> which both made their appearance on this blog back in early 2018. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtF28DYyJIZe-fQg4RLa-6LjOflWgzGvGm93nkv3BX67O4Fa9z_RTt6IlPwL7TKCPD0DQOoWy7GN1_aMHhtqnrRXYZ167txhIE9cpMr8iBE23X_I2yMhCctWne51f3OsGaDVwdn0Vn6cvE/s1600/IMG_20190222_152954280.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtF28DYyJIZe-fQg4RLa-6LjOflWgzGvGm93nkv3BX67O4Fa9z_RTt6IlPwL7TKCPD0DQOoWy7GN1_aMHhtqnrRXYZ167txhIE9cpMr8iBE23X_I2yMhCctWne51f3OsGaDVwdn0Vn6cvE/s640/IMG_20190222_152954280.jpg" width="640" /></a></div>
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In this puzzle, you are provided with thirteen letter squares. These letter squares are placed on the grid in such a way that the seven main inhabited Hawaiian islands can be spelled by moving one square at a time horizontally, vertically, or diagonally.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDKXmRjpK-aX57nIO9ymDjia5vCQA1WknXIMKcU8n2rUzGtdqhExDAASE2EyyWrp2SyFYMrUPr7wKaDrZMMEww7XqjWlPa1Xh3cE5H32Gt5HGmwDc2QjhD4PdzGs83932WZJhF9ksuRfBO/s1600/IMG_20190222_152856102.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDKXmRjpK-aX57nIO9ymDjia5vCQA1WknXIMKcU8n2rUzGtdqhExDAASE2EyyWrp2SyFYMrUPr7wKaDrZMMEww7XqjWlPa1Xh3cE5H32Gt5HGmwDc2QjhD4PdzGs83932WZJhF9ksuRfBO/s640/IMG_20190222_152856102.jpg" width="480" /></a></div>
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For example, in this picture, you can see that the letters in "OAHU" and "MAUI" can be traced out.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi90JpBsYoJddzhm_vXxkBsor7ZFPE-LpdGlq2Rf2rpb9uLgF-JkJxC57kXht77KgnMfgiYdx75d-xy2hPBxlGtHiO3xBFbFey4kTy1Xmt-7tFvHInG9Q9Ou5Up6O3cv38OYbaW0b_keyQY/s1600/IMG_20190222_152928870.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi90JpBsYoJddzhm_vXxkBsor7ZFPE-LpdGlq2Rf2rpb9uLgF-JkJxC57kXht77KgnMfgiYdx75d-xy2hPBxlGtHiO3xBFbFey4kTy1Xmt-7tFvHInG9Q9Ou5Up6O3cv38OYbaW0b_keyQY/s640/IMG_20190222_152928870.jpg" width="640" /></a></div>
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It is quite a task to find a way to spell out ALL seven of the islands. When I've done similar puzzles with students in the past, they have found them to be very engaging. I like that this sort of puzzle has a low barrier to entry. Can you make the grid spell out the name of just one island? How about another? And another? Oh wait, maybe we should start with the longest island name and work towards adding the smaller names... </div>
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This puzzle is by Donald Knuth and is featured in <a href="http://amzn.to/2E62VjJ">Puzzle Box, Volume 1</a> (affiliate link).</div>
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<a href="http://amzn.to/2E3nEZb"><img alt="http://amzn.to/2E3nEZb" border="0" data-original-height="499" data-original-width="361" height="400" src="https://images-na.ssl-images-amazon.com/images/I/61Ev8fkInFL._SX359_BO1,204,203,200_.jpg" width="288" /></a></div>
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The puzzle board is designed to print on <a href="http://amzn.to/2ESEkyH">11 x 17 paper or cardstock</a> (affiliate link). The puzzle pieces are designed to print on letter sized paper.<br />
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You can print it on letter sized paper by changing the scale percentage. I had to scale it to 65% to make it fit. Be sure you remember what percent you chose because you will need to scale the puzzle pieces to the SAME percent so that the puzzle pieces fit on the puzzle board properly.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjM443PLt-qRu_FolLMbUeaDuQhj9Oapw1kBPrDttFM4MV0DTV4zRcxyIBxdzBKgeNKmpKT00Ck-XqL9w0ucZXl95FMU66twqzcptu5Xb46iasjzsHsfDTVUVgaGYlyqC0xGfmVKUZllU9V/s1600/Islands+Print+Dialog+Box.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="693" data-original-width="776" height="572" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjM443PLt-qRu_FolLMbUeaDuQhj9Oapw1kBPrDttFM4MV0DTV4zRcxyIBxdzBKgeNKmpKT00Ck-XqL9w0ucZXl95FMU66twqzcptu5Xb46iasjzsHsfDTVUVgaGYlyqC0xGfmVKUZllU9V/s640/Islands+Print+Dialog+Box.png" width="640" /></a></div>
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I hope you and your students have fun with this puzzle! If you haven't already, I definitely recommend that you check out the <a href="http://amzn.to/2DOJQmQ">Puzzle Box books</a>. You can get a great taste of what types of puzzles they have to offer you and your students by looking at the <a href="http://amzn.to/2DOJQmQ">free Amazon Preview</a>! Just click the "Look Inside" button for each book. If you're logged into Amazon, you can click "Surprise Me!" on the left side of the page. This will let you see quite a few of the puzzles inside the book for free. I typed up my first Puzzle Box puzzle from the free preview. Then, I did some more looking around and knew I had to order it!<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGzU45-nryUmAaWjF3EbXuIYp40iwdwj_EFe9lEFlGsskNANJRbiWKQZrZrArb10tcPlrj2XT5lDjPcWvTAe3B0bhKieiD5vjtrlc6yiR3SQT905-vtoVSrG-DTDC0omUIMh66jFxVRnk/s1600/Look+Inside.PNG" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="601" data-original-width="943" height="406" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGzU45-nryUmAaWjF3EbXuIYp40iwdwj_EFe9lEFlGsskNANJRbiWKQZrZrArb10tcPlrj2XT5lDjPcWvTAe3B0bhKieiD5vjtrlc6yiR3SQT905-vtoVSrG-DTDC0omUIMh66jFxVRnk/s640/Look+Inside.PNG" width="640" /></a><br />
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I have uploaded the files for this puzzle <a href="https://app.box.com/s/5bod1j77kmg9uufr4xyqnsewk6qgafgv">here</a>. Enjoy!<br />
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<script src="//z-na.amazon-adsystem.com/widgets/onejs?MarketPlace=US"></script>Sarah Carter (@mathequalslove)http://www.blogger.com/profile/11839095945000612533noreply@blogger.com0