Grade 8 Mathematics Module 4, Topic E, Overview

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Optional Topic E is an application of systems of linear equations (8.EE.C.8b).  Specifically, a system that generates Pythagorean triples.  First, students learn that a Pythagorean triple can be obtained by multiplying any known triple by a positive integer (8.G.B.7).  Then, students are shown the Babylonian method for finding a triple that requires the understanding and use of a system of linear equations. 

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Common Core Learning Standards

CCLS State Standard
8.EE.8 Analyze and solve pairs of simultaneous linear equations.
8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world...

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