Pythagorean Animation

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Exploration

GR. 6-8

Skill:

Use models to investigate the concept of the Pythagorean Theorem.

Pythagorean Animation

Relate the Pythagorean Theorem to area by rearranging partitions of a square.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

When you change the lengths of sides and , what effect does that have on the length of side ? How are the sizes of the squares with areas , , and affected?

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Open-ended question 2

If you were able to make a right triangle with legs that had lengths of , and , what can you say about the area of a square with side lengths equal to ?

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Open-ended question 3

What is the relationship between the areas of the squares with side lengths , , and ?

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