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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 ====

  * [[:Props:start#whiteboards|Tabletop Whiteboard]] with markers
  * A handout for each student

==== Activity: Introduction ====

This activity naturally follows the [[courses:activities:mvact:mvpark|Park]]
activity.

==== Activity: Student Conversations ====

(none yet)

==== 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 ====

(none yet)