Lesson plan

Recognize and represent equivalent expressions by applying the Product of Powers property

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

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Big Ideas: Whole numbers can be written in many ways as products of various factors. 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. This lesson builds on students' work on understanding writing numbers as a product of various factors. This task uses a story about a girl playing a video game. Students are asked to find the product of cards that the video game character finds in the forest, setting them up to discover the Product of Powers property. By multiplying an expression on a card by another card, students reason why the exponents would be added together. The mathematical concepts in this lesson build towards students' future work with recognizing structure in functions and rational expressions in high school Algebra. Vocabulary: bases, exponents, factors, simplify, evaluate Special Materials: Cards with exponential expressions on them (optional)