Lesson plan

2. Understand area models proofs of the Pythagorean Theorem (FP)

teaches Common Core State Standards CCSS.Math.Content.8.G.B.6 http://corestandards.org/Math/Content/8/G/B/6
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective: Rearrange area models in order to gain greater understanding of the Pythagorean Theorem.

This lesson helps to build fluency with some Pythagorean Theorem proofs.  Area model is used here because it highlights the equivalence of the areas of the sum of the squares on the legs and square on the hypotenuse. This work develops students' understanding that we can use area models to show that the areas of the squares on the legs is the same as the area of the square on the hypotenuse of a right triangle.

Students engage in Mathematical Practice 4 (model with mathematics) as they employ area model proofs to understand the algebraic relationship in the Pythagorean Theorem.

Key vocabulary:

  • legs of a right triangle
  • hypotenuse
  • Pythagorean Theorem

Special materials needed:

  • copy of Annotated Answer Key and Practice worksheet
  • copy of Pacek worksheet, as seen in live action video, found here.
  • glue
  • scissors