Lesson plan

Recognize and represent equivalent expressions by applying the Quotient of Powers 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.MP8 http://corestandards.org/Math/Practice/MP8

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Big Ideas: 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. The Quotient of Powers applies to common bases as an extension of dividing common factors. This lesson builds on students’ work with exponents and fraction equivalence. This task uses a scenario with bacterial decay on a toothbrush. Students are presented with 3 different times and asked to show how the time affects the amount of bacteria. By dividing the amount of bacteria by exponential expressions students reason why the division property of exponents leads to subtracting the exponents. The mathematical concepts in this lesson build towards students work with rational expressions in High School Algebra. Vocabulary: cancelation law, bases, exponents Special Materials: Small whiteboards, dry erase markers (optional)