Proving the Pythagorean Theorem

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Objective

I can demonstrate a proof of the Pythagorean Theorem using geometric diagrams and algebraic manipulation.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

Define the hypotenuse of a right triangle and explain how to identify it.

2

State the Pythagorean Theorem and explain what each variable (a, b, c) represents.

Part 3 of 3

Exit ticket

Quick comprehension check

Draw a right triangle with legs of length 5 and 12. Construct squares on each side of the triangle. Calculate the area of each square. Explain how the areas of the squares on the legs relate to the area of the square on the hypotenuse. Suppose you have a right triangle with legs of length 'a' and 'b', and a hypotenuse of length 'c'. Explain in words and with a diagram how the area of the square with side 'c' relates to the areas of the squares with sides 'a' and 'b'.

Sample answer included in the free materials

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  • Teacher Guide

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