Profile Gauge - Section 3: Applying Cavalieri's Principle

 
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Shifty Shears

Unit 5: Area Relationships
Lesson 3 of 6

Objective: SWBAT explain why shifting one base of a parallelogram without changing the altitude leaves the area unchanged. Students will understand the meaning of Cavalieri's Principle.

Big Idea: We use Cavalieri's Principle to analyze racing yacht sails, the face of a deck of cards, and shears...which are used in yet another transformation proof.

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Subject(s):
Math, Geometry, Proofs, Pythagorean Theorem, Cavalieris Principle, Transformation Proof, history of mathematics
  55 minutes
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