Piecewise Functions INB Pages

09 October 2017
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.

This piecewise functions foldable was great in my student's interactive notebooks!  The notes were clear, and the activity helped my students understand.

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.

This piecewise functions foldable was great in my student's interactive notebooks!  The notes were clear, and the activity helped my students understand.

This piecewise functions foldable was great in my student's interactive notebooks!  The notes were clear, and the activity helped my students understand.

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!

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