Unit 3 was a weird one for Algebra 2. I wanted to cover exponential functions right after linear functions to see if teaching y=a+bx actually helped my students to graph y=a(b)^x. I also needed to review exponent rules with my students before we could move onto quadratic functions, radical functions, or logarithmic functions. And, I also needed to make sure that my students were solid on the distributive property, combining like terms, and factoring before we got any further into the semester. So, I sort of combined all of these into a hodgepodge Unit 3.

Unit 3 Table of Contents  I apologize for the fact that this was not uptodate when I took the picture. Oops... 

Exponential Functions Frayer Model 

Exponent Rules 

Ms. Hagan's Book of Exponent Rules worked so well with my Algebra 1 students that I decided to try it out with my Algebra 2 students. 

Parts of a Power and Unwritten Exponents 

Exponent Rules for Like Bases 

Negative and Zero Exponents 
You can read more details about how I taught exponent rules
in this post.

Naming Polynomials Graphic Organizer 

Combining Like Terms and the Distributive Property Foldable  Outside 

Combining Like Terms and The Distributive Property Foldable  Inside 

Introduction to Factoring Notes 
If/when I ever do this again, I will type up the polynomials that are written in marker. Students will have to cut them out and decide if they are the factored version or the distributed version. Students will glue them in the appropriate places on the table and then come up with the corresponding version.
I used the same factoring graphic organizers with my Algebra 2 kiddos that I used with my Algebra 1 kids. You can read more about
my approach to factoring this year here.

Factoring Quadratic Trinomials when a=1 

Factoring Quadratic Trinomials when a>1 

Factoring Difference of Squares 
We closed out the unit with an exponential growth and decay of skittles lab, but that will have to be another post for another day!
Files are uploaded
here.
Sarah, you are amazing. I can't tell you how much I appreciate all your posts and the MANY wonderful ideas and resources that you share. You are making my first year teaching Algebra 2 so much better!! Thank you!!!
ReplyDeleteYou are very welcome! Thank you so much for your kind words!
DeleteLogistics question for you: do you fill out your INB page while students are completing theirs, or do you have it prefilled in? And, do you have a document camera?
ReplyDeleteI have a document camera. But, I usually only use it to demonstrate calculator keystrokes. I usually make a version of the graphic organizer or foldable that I fill out on the Smart Board. I write it as I ask the students to write it.
DeleteThis is wonderful! Thank you so much for sharing your ideas and materials!
ReplyDeleteThank you! You are very welcome!
DeleteI used Xpuzzles to teach Algebra 1 factoring today. It was fantastic! Thank you for your ideas and your willingness to share them.
ReplyDeleteGlad to hear the Xpuzzles worked out well for you!
DeleteSooo, I used the difference of squares organizer today! And while I was at it, I used your example on it too, and I totally forgot to factor out the GCF (9) at the beginning!!! I'm terrible at remembering that (my biggest algebra weakness), but I love the whole set of factoring graphic organizers you shared. :)
ReplyDeleteI have a tendency to forget that too in the midst of teaching! I need to do a better job of making my graphic organizers emphasize that.
DeleteLove your blog! My students are loving the "slide, divide, bottoms up", thanks for your work. :)
ReplyDeleteGlad it worked for your students! Thanks for sharing!
DeleteHey Sarah,
ReplyDeleteI'm hoping to use some of your notes pages, but I can't see the downloads for the PDF documents anymore. Can you help me out? I'm hoping to use the ones for factoring! Thanks!
Sorry about that! Here's a searchable link of all my files. The site that hosts my files has been having issues. :( https://app.box.com/s/abl3ycndkyzb7jcujpdf
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ReplyDeleteI figured it out. You reduce the fractions and then do bottoms up. I have never seen this method before but really like using it. My students have also picked up on it quickly.
DeleteGlad you figured it out!
DeleteHave you ever seen the method to factor trinomials with a>1 using factor by grouping. I use this with my students, and when they remember the steps they get it right away. Ex: 7x^2 + 29x + 4
ReplyDelete1) Multiply a*c : 28
2) Use x puzzle to find two numbers that multiply to 28 and add to 29: 28, 1
3) Use the numbers to split the middle term and rewrite trinomial as polynomial with four terms: 7x^2 + 28x + x + 4
4) Factor by grouping: 7x(x + 4) + 1(x + 4)
5) Finish by writing as two parentheses multiplied by each other: (7x+1)(x+4)
It takes longer, but it's not a trick...
I have used this before. I've adopted the box method now which is supersimilar to this method.
DeleteHi! The pdfs are not there... would love to use them.
ReplyDeleteFixed! You should be able to find them here: https://app.box.com/s/374zb2pm1mnrz57oh1jo
DeleteHI. loved all ur methedologies of teaching factorisation. couldnt find the link that u have posted. would love to see the other resources of teaching .
ReplyDelete