## ProveItPart2_ProofofPaythagoreanTheoremNarrative.docx - Section 2: Proof of the Pythagorean Theorem

Prove It (Part 2)

# Prove It (Part 2)

Unit 9: Similar and Right Triangles

Lesson 3 of 8

Lesson 3 of 8

## Objective: Students will be able to use similar right triangles to prove the Pythagorean Theorem, and then work on identifying common student errors when using the theorem.

Standards:

Subject(s):

Math, similar triangles, Geometry, Similarity and Congruence, triangle (Determining Measurements), Pythagorean Theorem, similar right triangles, right triangle, proof, altitude to the hypotenuse, hypothesis, 10th grade

*45 minutes*

3

#### Looking for Common Errors

*20 min*

For our next activity, I give the class the Common Errors handout. I ask them to work in their groups, reviewing and correcting the work in the first part of the document.

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4

To conclude this lesson, I ask the students to summarize the errors that they saw on the Common Errors handout (and any others they might have come across when using the Pythagorean Theorem!) I list their observations on the board.

Their homework is the final problem on the handout. The Homework_Problem asks students to prove a hypothesis about opposite sides of a quadrilateral.

*expand content*

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- LESSON 1: Introduction to Similar Right Triangles
- LESSON 2: Prove It (Part 1)
- LESSON 3: Prove It (Part 2)
- LESSON 4: Using the Pythagorean Theorem
- LESSON 5: Special Right Triangles
- LESSON 6: 30, 60, 90 Triangles
- LESSON 7: Isosceles Right Triangles
- LESSON 8: Special Right Triangles Puzzle Activity

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