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!
