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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.
Props/Equipment
- Tabletop Whiteboard with markers
- A handout for each student
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.
Extensions
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