Informal Proof of the Pythagorean Theorem

Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson by using the theorem to find missing side lengths of triangles.

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CCSS: Designed
Instructional Ideas

  • Demonstrate each proof of the Pythagorean Theorem, then ask your classes to complete the proofs independently
  • Incorporate manipulatives while completing the proofs for a more visual approach
Classroom Considerations

  • Requires square roots to solve equations
Pros

  • Provides detailed instructions throughout the lesson to aid in lesson planning
  • Designed to ensure an understanding of the formula before applying it
Cons

  • None
Common Core