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The Cake

Keywords: Multivariable Calculus, Multiple Integrals, Surfaces


Highlights of the activity

  1. This small group activity using surfaces provides a geometric representation of multiple integration.
  2. Students work in small groups to estimate the volume of pieces of cake based on their contours.
  3. The whole class wrap-up discussion emphasizes that integration involves chopping, multiplying, and adding.

Reasons to spend class time on the activity

Nice introduction to integration as chopping and adding.


Instructor's Guide

Student Handouts


Authors: (c) Aaron Wangberg and the "Raising Calculus to the Surface" team; used by permission.
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