This worksheet is a compilation of scenarios of piecewise functions. After teaching how to graph piecewise and writing piecewise functions given a graph, I used this sheet to teach how to read a scenario and write a piecewise function. Some questions are open to interpretation as to what terms to write the piecewise in so I was specific in stating what terms to write the function in. Some questions as the students to graph as there is a good connection that can be made from the graph to the function. Some questions ask for the student to answer question based on the function. One question gives the students a function and asks for them to interpret and write their own scenario.
My students and I used this worksheet today. We won't be able to finish until tomorrow. I would say this is a 2 period lesson. (45 mins each) I had them work in groups and we discussed together as important things came up. Lots of conversation!