Lesson plan

Prove the Pythagorean Theorem by using the properties of similarity

teaches Common Core State Standards CCSS.Math.Content.HSG-SRT.B.4 http://corestandards.org/Math/Content/HSG/SRT/B/4
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3

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Big Ideas: We can use similarity to prove theorems about triangles. The tasks in this lesson require students to show that the sum of the squares of the lengths of two legs of a right triangle is equal to the square of the length of the hypotenuse. Students will use prior knowledge of similarity and the AA similarity criteria to write the proportions needed in the proof. This lesson leads into solving problems involving similar triangles and right triangle trigonometry. Vocabulary: Similarity Proportionality