Lesson plan

4. Divide exponential expressions with common bases by simplifying (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: Divide numbers written in exponential form with the same base.

This lesson helps to build fluency with division of numbers written in exponential form.  A table is used here because it supports understanding of integer exponents. 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
  • quotient