Proving the Pythagorean Theorem

Grade 7Math45 min

Learning Objective

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

Lesson Flow

Watch Video

5 min

An Introduction to the Pythagorean Theorem | Math with Mr. J

Unknown Channel

Practice

14 min

7 questions • Short answer

Exit Ticket

5 min

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'.

Teacher Guide

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  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts