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Lesson Plan

Solve for an unknown exponent in an equation by creating expressions with the same base

teaches Common Core State Standards CCSS.Math.Content.HSA-CED.A.1 http://corestandards.org/Math/Content/HSA/CED/A/1
teaches Common Core State Standards CCSS.Math.Content.HSA-SSE.B.3 http://corestandards.org/Math/Content/HSA/SSE/B/3
teaches Common Core State Standards CCSS.Math.Content.HSA-SSE.B.3c http://corestandards.org/Math/Content/HSA/SSE/B/3/c
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Big Idea: It is possible to solve for unknown exponents by creating an equivalent expressions with the same base on both sides of the equation. This lesson builds on students' work with exponential growth and exponents. The task requires students to solve for an unknown exponent in an equation by considering how many times a stack of paper needs to be doubled until it reaches a certain height. The heights are given as powers of 2, allowing students to use their skills with exponents to create an equation with the same base on both sides. This lesson builds towards future work with solving exponential equations when the variable is in the exponent. Vocabulary: exponents, base Special Materials: Scientific calculator
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