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The Cake: Instructor's Guide

Main Ideas

  • Integration involves multiplying (and chopping and adding).

Students' Task

Estimated Time: 15–30 minutes

Students work in groups to write down and evaluate single integrals for finding the volume of a cylinder.

Prerequisite Knowledge

  • The ability to interpret contour maps.


Activity: Introduction

This activity naturally follows the Park activity.

Activity: Student Conversations

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Activity: Wrap-up

Emphasize that integration is about chopping, adding, and multiplying, and that experimental/numerical data can be used to obtain as good an approximation to an integral as desired.


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