Grade 8 Mathematics Module 3, Topic C, Overview

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It is recommended that students have some experience with the lessons in Topic D from Module 2 before beginning these lessons.  In Lesson 13 of Topic C, students are presented with a general proof that uses the Angle-Angle criterion.  In Lesson 14, students are presented with a proof of the converse of the Pythagorean Theorem.  Also in Lesson 14, students apply their knowledge of the Pythagorean Theorem (i.e., given a right triangle with sides a, b, c, where c is the hypotenuse, then a2 + b2 = c2) to determine unknown side lengths in right triangles.  Students also use the converse of the theorem (i.e., given a triangle with lengths abc, so that a2 + b2 = c2 then the triangle is a right triangle with hypotenuse c) to determine if a given triangle is in fact a right triangle. 

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Common Core Learning Standards

CCLS State Standard
8.G.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world...

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