## Functions and Relations in Algebra 2 INB Pages

I always kind of like teaching about functions and relations in algebra.  This year in Algebra 2, I used some of the same ideas that I have used in Algebra 1, but beefed it up a bit.  It was a good review at the beginning of the school year.  Unfortunately, these lessons were interrupted by a hurricane and flooding, but my students retained all of the information!  I was shocked and pleased.  It's always nice to see interactive notebooks doing their jobs :)

First, we talked about the definitions of function and relation.  This was review for them, and most of them remembered once I read the definitions to them.  The reference card at the top of the page is part of this functions and relations card sort.  The different versions of a function was just a photocopy from a random textbook.

Then, we expanded on the function definition to also talk about one-to-one and onto functions.  My students had a hard time remembering which was which.  They seemed to understand the concept, but had a hard time with the names.  Maybe because they both started with an O?  You can download this hamburger book here.

We were running out of time in class, but we had time for one last page.  We graphed a relation (it was just a line) and used our new vocabulary to write the information about the relation.  This took my students about 10 seconds.  Remember, they are honors students.  This page is part of the exclusive content in my Algebra Foldable Bundle.  The only way to access the page is through the bundle.

The next day, we completed this functions flip book.  This flipbook included the definition of a function, but also included function notation and graphs.  If you've seen my previous function notation lesson from YEARS AGO, this flipbook will look very familiar.  In fact, I don't know why it took me so long to make it!  Right now, this flipbook is part of the exclusive content in my Algebra Foldable Bundle.  The only way to access it is through the bundle, but I'm considering adding it to my TpT store in the future.

Then, the hurricane came...  I distinctly remember telling my students in class that I just thought it would be windy and rainy and we *might* have a late start the next school day.  Yeah, well I WAS WRONG.  We ended up with a week off school and many people in our school community had flooded homes.  :(

When we finally came back from the hurricane, I didn't want to blow right into new content.  I wanted to ease back into things and have an easy day that would be review.

First, I reminded them about domain and range.  We completed this domain and range foldable that I had just used in Algebra 1.  (This picture is actually from my Algebra 1 notebook this year.)  Remember, I wanted it to be easy!  I had them work with a partner to fill it out, then we checked as a class.

After that, I gave them a functions and relations card sort.  I played music and let them talk while they cut and sorted.  It was a good review and let them relax a bit.  If you'd like to see more tips about helping students learn to identify functions, you can check out this post.

Then, toward the end of class, we reviewed function notation.  I just had them copy problems and try working them with a different partner than they had worked with at the beginning of class.  Then, we went over it as a class.  They struggled a lot with #4 and #5, so we spent extra time there.

I hadn't intended on spending so much time on this topic in Algebra 2, but I do like how it turned out.  I gave them a strong foundation and have been able to build on it through the school year.

## Angle Addition Postulate INB Pages

I am in LOVE with this flipbook that I made for the Protractor Postulate and Angle Addition Postulate in Geometry.  It is so full of definitions and examples, but doesn't feel overwhelming for students.

The Protractor Postulate flap has a few options for students to either fill-in-the blank or write everything out.  Since I have honors students, I had them write out the theorem.  You can find the flipbook here.

The other flaps also have students write the definitions of acute, right, obtuse, and straight angles.  The Angle Addition Postulate has examples for students to practice using the theorem.

After that, I had went through this sheet with my students.  It is part of the exclusive content in my foldable bundle.  I left it pretty blank, by design.  I wanted to talk to my students all about how to mark diagrams correctly and how to translate different statements.  I think this page is SO valuable for helping students with proofs later.

(You probably noticed the HUGE gap in dates on these pages.  I did them as part of the same lesson, but Hurricane Harvey broke it up very awkwardly.)

## Modeling Similar Right Triangles: A Paper Cutting Activity

This investigation is a great demonstration to help students visualize similar right triangles!

To begin, start with a regular sheet of paper.  Then, draw a diagonal across the page from one corner to another.  This creates two congruent right triangles.  Then, fold the paper to find the altitude to the hypotenuse of one of the triangles.  Remember, the altitude is perpendicular.

Along the fold, outline the triangles and draw the altitude.

Now, have students point out the congruent angles.  It might be helpful if you label the points with letters.  Remind students of the triangle congruence theorems.  Since all of the angles are congruent, can you prove the triangles are congruent?

Cut the triangles apart.  Arrange them so that they are facing the same direction.  When this is done, it is easy to see that the triangles are similar.

Stack the triangles so that the three congruent acute angles match up.  This also helps show that the triangles are similar.

After I do this demonstration, I like to use my Similar Right Triangles foldable.  When students have trouble, I remind them of the demonstration and have them draw the triangles separately.  This demonstration could even be "souped up" and used as the actual lesson.