Lesson plan

6. Practice creating a qualitative model of a function (FP)

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.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
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Lesson objective: Graph a function given a description of the behavior of the function.

This lesson helps to build procedural skill with representing the behavior of a function graphically. Verbal descriptions and graphs are used here because they highlight the connection between these representations. This work develops students' understanding that graphing and understanding input-output relationships can highlight the behavior of a function.

Students engage in Mathematical Practice 2 (reason abstractly and quantitatively), as well as Mathematical Practice 4 (model with mathematics), as they create a model of a function based on the description of the relationship between inputs and outputs of the function.

Key vocabulary:

  • behavior
  • constant
  • decreasing
  • function
  • gradual
  • horizontal
  • increasing