Math = Love

Wednesday, May 27, 2015

Sketching Inverses and Finding Conjugates

Today, I want to do two things with this blog post.

#1:  Share a couple of miscellaneous pages that found their way to the end of our Algebra 2 INBs this year.  One page is a second go at reviewing something we studied in Unit 1.  The other is a topic I somehow missed teaching and had to teach at the end of the year.

#2:  Process what I've learned about having students practice graphing calculator strategies.

(Link to download these pages is also at the end of the post, as always!)


We took notes over inverses in Unit 1.  But, I was finding that my students had forgotten how to use their calculators to sketch the inverse.  They needed more practice, so we made a new notebook page.

First, we just wrote out the steps.

Then, we made one of my absolute fave foldables.  A poof booklet!


Reasons I love poof booklets:

* You get 7/8 of a sheet of paper worth of notes, but it only takes up the area of 1/8 of a sheet of paper on your notebook page.

* Kids treat them like they are magic.  Because they are.

* Usually, I make these books hold 6 practice problems.  Normally, my students would complain this was a lot.  They seem to complain a lot less when they are filling out a tiny booklet.

* Once kids make a couple of these, they can usually make them on their own with little prompting.



There were two more practice problems, but I guess I neglected to take a picture of them.  Oops...

Every year, I have a handful of students who do not practice using their graphing calculator.  This drives me insane.  The only way to learn to use the graphing calculator is to actually use the graphing calculator!  Usually, when I am teaching graphing calculator steps, I will put practice problems up on the board for us to work through together.

I will look out from the front of the classroom and see that several students are just sitting instead of following along with the steps.  Once we're multiple steps in, I can't really make the rest of the class wait and force those few students to catch up.  So, they end up getting a free pass that results in them having no clue how to operate the calculator.

I took a different approach with the graphing calc practice this day.  I wrote the steps on the board for my students to copy in their notes.  We worked ONE problem together.  Then, I gave students the other 5 practice problems to write and work in their poof booklets.

Then, I circulated the room and helped students as they worked at their own pace.  Amazingly, every single student was engaged and working.  The students who would typically tune out during these sessions were raising their hands and asking for help.  It really was a beautiful sight.

My takeaways?  I need to give my students more time to just get their hands messy with the calculators.  They need to do more problems on their own instead of just watching me.  This frees me up to help the students who are really struggling.

Having to record the results of their graphing calculator practice in their notebooks was also a key factor in the success of this review activity.

I'm already thinking that I could revamp the poof books / graphing calculator notes to make a single graphing calculator tutorial section in our INBs.  The cover of each poof book could have the graphing calculator steps to perform a task.  Then, illustrated practice problems / sketches of the screen could go on the inside.  For finding maxes/mins and zeroes, I want to have my students sketch the graph on their screen and draw color-coded dots for where they left the cursor for left bound/right bound/guess.  I think this might make the process of choosing these points more visible and less confusing.  Each year, I have a few students who really struggle with where to place the cursor during these steps.

Also - notes on conjugates.  I definitely should have taught this way back when with the complex number section.


Download the files for these two notebook pages here.

Tuesday, May 26, 2015

Q&A: Classroom Supplies and Manipulatives


THE QUESTION:

What are some of your favorite manipulatives to use in math class?

MY ANSWER:

This question reminded me of a post I set out to do a year ago.  Last year, as I was cleaning up my classroom for the summer, I decided I should do a blog post about what manipulatives and supplies I keep in my cabinet in my classroom.  I took all the pictures, but I never actually got around to writing the post.  So, these pictures are now a year old, but they're still a pretty good representation of what you'll find in my cabinets.

So, I present to you: Things in Ms. Hagan's cabinet.  Some are manipulatives.  Others are just random stuff that sometimes comes in useful for my classroom.

Storage Tubs for Each Group of Desks - I used these my first year of teaching.  Things got unorganized way too fast.  Haven't used them since...


Pattern Blocks - I have to admit that I actually haven't ever used these for anything...


Toothpicks - Great for Visual Patterns or Calculating Pi


Coordinate Grid Stamps - I inherited these from the previous math teacher.  My students have used these a handful of times, but the ink seems to bleed through the paper too much to be able to write on both sides of the paper.


Wax Paper - Perfect for making parabolas


Walk-On Number Line - My mom picked this up for me at a yard sale.  I think this would be really cool to use to make a human dot plot.


Spinners - These were also inherited from the previous teacher.  I need to find a way to incorporate these into my statistics class next year!


Ping Pong Balls - I picked these up in the Target Dollar Spot.  I still haven't found a project to use them for.  I know they will come in handy one day, though!


Graphing Calculators - Not sure I need to explain my having these...


Scissors - Necessary for making foldables!


Rulers - I keep a tub of rulers out at all times for my students to use whenever necessary.


Dry Erase Erasers - I promise I've got newer ones since then.  But, they probably look just as bad as these now.


Liquid Glue - I prefer stick glue for foldables, but every once in a while, my kids need liquid glue for a project.  My classroom has become to the go-to place to come for supplies when my students have projects to do for other classes.



Colored Markers - Absolutely necessary for pretty INB pages!  Plus, math is more fun in marker.


Dry Erase Markers


Foam Dice - I also bought tiny foam cubes at Dollar Tree to use to make my own dice.


Colored Pencils


Crayons


Highlighters


Measuring Tapes


Folding Meter Sticks


Glue Sticks


Rubber Bands - Necessary for Barbie Bungee.  I've done Barbie Bungee for the last two years and still haven't blogged about it.


Playing Cards and other Statistics Supplies - I picked up the mini-roulette wheel at a yard sale.  We used it in statistics last year to model the probability of winning various casino games.  And, don't worry, I threw out the game cards that were meant for a bachelorette party.


Protractors - I don't teach geometry, but I might need these someday...


Popsicle Sticks - These came in handy for making gummy bear launchers in stats.


Barbies and Wrestling Dudes -  It's amazing that after two years of bungee jumping that they are still all alive!  ;)


Dry Erase Sleeves


Dry Erase Boards


Cap Erasers.  My students are always in need of erasers.


Library Pockets - I bought these to make a ZAP game, but I still haven't done that.


Tangrams - I used these as a challenge on the first day of school to demonstrate mindset.  Occasionally, students will still pull them out of the cabinet to play with them.


Foam Washers - I keep thinking that I will use these as a sort of game piece, but it hasn't happened yet.


Paint - This is leftover from painting my classroom.  Occasionally, I do have to touch up the walls.  Last summer, they took the radiators out of our classrooms, so I had to paint behind the radiator.


Miscellaneous Tubs - These have served so many purposes.  Colored Pencil holders.  Sorting tubs.


Tennis Balls - I used these for a linear regression lab.


De-Icer - This has nothing to do with teaching.  It's just a reflection of my fear that my car will ice over while I'm at school, and I won't be able to make it home.  Better safe than sorry.


Sidewalk Chalk - Last year, I let my Algebra 2 students go outside and graph hyperbolas on the sidewalk.


Mini Trash Cans - I thought that I would let students put paper scraps in these as they did cutting at their desk.  But, they soon started throwing random trash in them.  Now, I just make my kids get up and walk to the trash can.  Maybe I'll try these again next year???


Sand Timers - Perfect for games and activities


Though these sand timers are a bit weird.  They look like they would all be three different amounts of time.  But, they all empty in exactly three minutes.


Tools - Because you never know when you might need to fix something.  The most used tool in here would be the tape measure!


Binder Clips :D


Cleaning Supplies


Scale


Flip Chutes - These function as function machines in my classroom.  But, I'm sure I could come up with multiple other uses for them!


Clear Picture Frames - I bought these on the recommendation of another blogger.  They use them for station instructions.  But, confession - I've never actually done stations with my students.


Toy Cars - I will come up with a lesson that involves these someday.


COLORED PAPER - best classroom tool ever!


Pocket Charts - I planned on using these to sort names for student groups.  That didn't happen this year, though.


Filetastics - I got excited when I found these at Mardel for 75% off.  But, I only have space to hang one of these in my classroom.  :(


Fly Swatters - Not for actually killing flies.  That would be gross.  We use them for the fly swatter game.


Red/Yellow/Green Cups for Group Work


IQ Circle Puzzles - These were also used on the first day of school for a mindset activity.


Post-It Notes - It is not possible to have too many of these.


Giant rubber bands for closing student interactive notebooks


Traffic light stickers - Honestly, I forgot that I had bought these.  I planned to use them for student self-assessment.  I guess I should make this a goal for next year.


Page flags to mark units in INBs - I'm not sure if these were worth the hassle...


White-Out - I have too many students who insist on writing in pen.  I loan out white-out a lot.


 Popsicle Stick Containers for Each Class - This year I wrote each student's name on a popsicle stick.  I used these to randomly call on students.


Mini-Envelopes - These worked perfectly for keeping unfinished INB projects together.  We also used them to hold our flashcards that I have yet to blog about.


Cute notes - Sometimes I think I was probably meant to be an elementary teacher...


Shower Curtain Coordinate Plane


So, these aren't currently in my classroom.  They're lids that I stole from my kitchen that we used in trig to trace circles.  Math manipulatives don't have to be fancy!


Pipe Cleaners - We used these to discover radians.  I've also used them to demonstrate the vertical line test.


We also made our own clinometers this year in trig.  Paper, paper clips, glue, string, and a washer make a pretty nifty tool for figuring out how tall our school building is.