While I know the AP doesn’t place a lot of emphasis on related rates, I believe the problem solving involved is important for the student’s growth in analytical thinking. For that reason, I do this full hour-long activity. Sub-topics involved are

· Right triangles & Pythagorean theorem

· Cylindrical volume

· Spherical volume

· Rectangular box (cuboid, prism)

· SOH-CAH-TOA

As expected, Chain rule is used in each problem with some product rule thrown in as well. The cryptogram involves fairly well-known Disney movie quote.