Lesson plan

Recognize and represent equivalent expressions using the Power of a Power property

teaches Common Core State Standards CCSS.Math.Content.8.EE.A.1 http://corestandards.org/Math/Content/8/EE/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Big Ideas: Whole numbers can be written in many ways as products of various factors (8.EE.A.1) The properties of real numbers (commutative, associative, and distributive) can be used to rewrite expressions in ways that simplify or shed light on an expression (8.EE.A.1, 8.EE.A.3, 8.EE.A.4) This lesson builds on students' work with the Product of Powers property. This task uses a girl playing a video game in which she must rewrite exponential expressions as a base raised to a single power to unlock a door. Students are presented with 6 "cards" with exponential expressions and asked to pick the cards Jasmine should choose and then rewrite them as powers of 3. By rewriting the cards, students reason about raising an exponential expression raised to a power. The mathematical concepts in this lesson build toward students' future work with rational expressions, as well as logarithmic and exponential functions. Special Materials: "Cards" like Jasmine's (optional)