SA and NT: Related Rates and Solids of Revolution

Objectives

• Application of the chain rule to related rates,
• Solids of revolution of a region about the coordinate axis

Vocabulary

• Solid of revolution,
• Rate,
• Related rates

About the Lesson

Students start by sketching a graph that corresponds to a jug being filled. The YouTube video of the jug provides a timer and scale to measure the time and height with a good level of accuracy. An image is then used to assist students to model the shape of the vase, generate a function for the volume in terms of the height by using a solid or revolution. This function is then used to validate the video observations. The image in the activity documents must be loaded on to student’s TI-84CE calculator, the image is the same as the jug being filled in the video.