Lesson plan

Reason about the value of an exponential expression raised to the zero power by using 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.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Big Ideas: The Quotient of Powers property applies to common bases as an extension of dividing common factors. The Quotient of Powers property leads to a definition of zero and negative powers. This lesson builds on the students' work with using whole number exponents to write numeric expressions and especially hinges on an understanding of the Quotient of Powers property. This task uses a table of expressions about which students must make choices. By justifying each choice, students are directed to use the Power properties to reason about the value of a number raised to the zero power. Vocabulary: exponents, bases, raised to the power of Special Materials: Exponential expression cards (see handout in "Before the Lesson").