Lesson plan

9. Practice comparing behaviors of functions (FP)

teaches Common Core State Standards CCSS.Math.Content.8.F.A.2 http://corestandards.org/Math/Content/8/F/A/2
teaches Common Core State Standards CCSS.Math.Content.8.F.A.3 http://corestandards.org/Math/Content/8/F/A/3
teaches Common Core State Standards CCSS.Math.Content.8.F.B.5 http://corestandards.org/Math/Content/8/F/B/5
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective: Compare the behaviors of multiple functions.

This lesson helps to build skill with comparing behaviors of functions. Graphs, tables of values, and verbal descriptions are used here because they represent the various ways functions can be represented. This work develops students' understanding that key behaviors of functions can be identified, described, and compared when presented in various representations.

Students engage in Mathematical Practice 2 (reason abstractly and quantitatively) and Mathematical Practice 4 (model with mathematics) as they describe behaviors of functions in order to compare them.

Key vocabulary:

  • behavior
  • compare
  • constant
  • decrease
  • function
  • increase