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.
Grade 8 Mathematics Module 4, Topic E, Overview
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