## Interval Notation INB Page

Last year, our math standards were revised.  In that, I now get to teach my Algebra 2 students how to write in interval notation.  Honestly, I strongly prefer interval notation and I'm so glad we could end the inequalities!

This notes page was taken from A Nelson Math.  I reformatted to include practice problems on the bottom.

I had students tape the top page down so that they could flip it up.  Underneath, I had them draw a table.  On the table, they wrote the interval in words, drew a number line, wrote in interval notation, and wrote in inequality notation.  It helped my students so much to be able to see the four versions together.  My students still struggled with things like x =/ 0, so I want to maybe do four or five example lines next year.

## Intro Geometry Proofs INB Pages

Last year, I created several interactive notebook pages for beginning proofs in geometry.  However, this year, I'm teaching honors geometry and wanted to include more proofs practice in their notebooks.

First, we started with two-column proof tips.  I used this same page last year.  You can find the page on the link above.  However, I didn't write as many notes on the page, because I wanted my honors students to thoughtfully add their own tips to this page.

Then, we completed this flipbook for algebraic proofs.  I had my students write all of the properties under the first flap and practice under the second flap.  On the last flap, we did a few algebraic proofs together.

The next day, we started segment and angle proofs.  I used this foldable so that I could have students add a lot of practice proofs into their notebooks.  When we did these examples in class, I had them fill in all of the "givens" first.  I want them to see that while proofs may have lots of blanks, there is always SOMETHING that's a "freebie".

Once students were more comfortable with these basic proofs, I gave them a few additional theorems.  These theorems aren't in our textbook, but I use them in some honors-level worksheets that I have made.  I don't think these are a big stretch for my honors kids.  In orange, I have written the shorthand that students are allowed to use on homework and tests.  This page is in the exclusive content are of my Geometry Foldable Bundle.

## Piecewise Functions INB Pages

Piecewise functions are so challenging for students in the beginning!  I tried a totally new approach this year, and I ended up LOVING it.  Of course, my students didn't love it.  However, they understood more quickly than my students have in the past, which I consider a big win.

First, I gave students three graphs.  I asked them to write the equation of each line.  It doesn't matter what the graph look like.  Then, we cut the graphs along two different vertical lines and pieced the graphs together to make three different sections (see the picture below).  After that, I had students write the inequality for each part that they used.  Then, I showed them what it looks like written as a piecewise function.  They didn't like it.  It made them squirm...a good squirm.

Next, we looked at the function below.  I had them fill in the table and plot the points.  My students didn't like it, but it helped.

After that, we completed this foldable.  Right now, it's only available as exclusive content through my Algebra Foldable Bundle.  Under each flap, there are step by step directions and examples.

I liked that I included the DNE point in the foldable.  My students will explore that more in Pre-Cal, but I liked introducing them to the idea a little early.

My students still hate piecewise functions, but they did much better than they think they did!

## 7 Ideas for Teaching the Pythagorean Theorem

There are so many good ideas for teaching students about the Pythagorean Theorem!  It seems like every year I change a little bit when I teach this lesson.  However, I have found some favorite ideas over the years.

Here are my top 7 ideas for the Pythagorean Theorem (in no particular order):

1 - Pythagorean Theorems Word Problems Coloring Worksheet - I love using this worksheet because it gets students to practice word problems, with less complaining because of the coloring.

2 - Pythagorean Theorem Proof Without Words - This post has a free download of a template for showing your students a visual explanation of the Pythagorean Theorem.  It helps so much for them to see a concrete example!

3 - Pythagorean Theorem Solve and Snip - This cut and paste worksheet also has students practice word problems!

4 - The Pythagorean Theorem - The Science of Football - I show this video every year.  It helps capture the attention of my athletes and even has interviews with football players and coaches.  It's by the National Science Foundation and very well done.

5 - Pythagorean Theorem Word Problems Digital Activity - Looking to go digital?  These digital task cards are a fun way for students to (again) practice word problems.  I like having students work with partners and take turns drawing the diagrams.

6 - Pythagorean Theorem INB Pages - I think these are my favorite notes for the Pythagorean Theorem.  They're simple and effective.

7 - Pythagorean Theorem Pennant - This pennant is adorable and would help decorate your classroom!  I especially love the squares around the triangle on each part of the pennant.

I hope you found something new that you can use in your classroom!