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.

Modeling Similar Right Triangles - Paper Cutting Activity

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

Modeling Similar Right Triangles - Paper Cutting Activity

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.

Modeling Similar Right Triangles - Paper Cutting Activity

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

Modeling Similar Right Triangles - Paper Cutting Activity

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.
a discovery activity to help high school geometry students visualize similar right triangles

This is an investigation to help students with similar right triangles. This can be done as a demonstration or a student activity.



Intro to Linear Equations INB Pages

This year, I completely changed my linear equations unit.  I went at a slower pace and reorganized the information a little bit.  I used some of the pages I used last year for slope and equations of lines.

First, I taught my students the difference between linear and non-linear lines.  This page wasn't to difficult for my students and they followed along very well.  You can find this page here.

I used these foldables and interactive notebook pages as notes for my algebra 1 students.  My students were engaged while learning about slope and writing equations of lines!

After this, we talked about zeros of functions.  I used this hamburger book to have students practice using a table of values to graph a line.  I just added this hamburger book to my FREE Resource Library.  If you don't have access, you can sign up here!

I used these foldables and interactive notebook pages as notes for my algebra 1 students.  My students were engaged while learning about slope and writing equations of lines!

The word problems were a little bit challenging for my students, but they were perfect for discussion in class.

I used these foldables and interactive notebook pages as notes for my algebra 1 students.  My students were engaged while learning about slope and writing equations of lines!

I used the same notes for slope that I used last year.  Slope dude just helps so much!  Also, you can check out these videos for students about teaching slope.

Then, we practiced writing linear equations in standard form.  My students are not required to make the "a" value positive at the end.  We mainly practice moving the x and y on either side of the equals sign to get them used to it.  You can find this page here.

I used these foldables and interactive notebook pages as notes for my algebra 1 students.  My students were engaged while learning about slope and writing equations of lines!

Then, I had them take a handwritten notes page about how to find the intercepts from a linear equation written in standard form.  After that, they worked three practice problems with their partners.  I game them an equation and they had to write it in standard form and find the intercepts.  I've been including a lot more partner work in their notebooks this year.

I used these foldables and interactive notebook pages as notes for my algebra 1 students.  My students were engaged while learning about slope and writing equations of lines!

This was the end of our first unit.  After this we had a test before moving on to the "meat" of writing linear equations.
If you want access to Mrs. E Teaches Math's FREE resource library, click here to sign up!

Interpreting Graphs INB Pages

At the beginning of the year, I introduced some graphing vocabulary to my Algebra 1 students at the beginning of the year.  Now that I'm further through the year, I'm noticing that this was a great idea!  My students are more comfortable with the vocabulary this year and are more willing to use math vocabulary.

First, I had my students write out definitions in different colors.  As we wrote each definition, we color coded it on the next page on each graph.


I had them mark the lines of symmetry in the same color that they had written the definition in.  I love having students color-code their notes and I know that it helps them process the information and read it later.


I also like that these pages turned out so colorful since they are color coded!  :)

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