My first Calculus arts and crafts! Students I had for academic Pre Cal were worried that all the fun stuff was behind them. We can still play with markers in an AP class, don't worry.

Simple idea: draw a function that is continuous over a set of intervals

Prior to this we had been discussing overall vs. local continuity, how to identify intervals of continuity, and how to formally define breaks in continuity. In this exercise, they would work in reverse. I would provide some intervals, they draw something that matches the description.

It didn't take them long, and was one of many tasks they had for the day. But they helped each other immensely with some conceptual problems.

Upon completing their picture, they had to identify an obvious discontinuity and use a three step argument to prove why it was a problem.

AuthorJonathan Claydon