Lesson plan

3. Multiply exponential expressions with common bases by adding exponents (FP)

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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Lesson objective: Multiply numbers written in exponential form when they have the same base.

This lesson helps to build fluency with multiplying numbers in exponential form. A table is used here because it shows the expansion of exponential expressions and help students understand why the exponents can be added as it represents the total number of the same factor. This work develops students' understanding that the structure of exponent notation allows us to derive rules for generating equivalent expressions, even when the exponent is from the entire set of integers.

Students engage in Mathematical Practice 8 (look for and express regularity in repeated reasoning) as they expand exponential expressions to write equivalent expressions. Representations used are tables and expressions.

Key vocabulary:

  • base

  • equivalent

  • exponent

  • expression

  • factor

  • power

  • product