Lesson plan

3. Understand the connection between equations and graphs (C)

teaches Common Core State Standards CCSS.Math.Content.7.RP.A.2b http://corestandards.org/Math/Content/7/RP/A/2/b
teaches Common Core State Standards CCSS.Math.Content.7.RP.A.2c http://corestandards.org/Math/Content/7/RP/A/2/c
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
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Lesson Objective: Understand that equations and graphs present the same information about a relationship.

Students write equations and draw graphs to represent the proportional relationship between distance and time when given a constant speed. This lesson builds on students’ work with the constant of proportionality in equations, but with unlike units, deriving the new quantity of ft/sec. Students are asked to make claims about the advantages and disadvantages of presenting information in equations or graphs.

This work helps students deepen their understanding of equivalence; graphs and equations can be thought of as equivalent representations, and there are equivalent relationships between values in a given proportional relationship.

Students engage in MP3 (Construct viable arguments and critique the reasoning of others) as they weigh the advantages and disadvantages of equations and graphs, and MP4 (Model with mathematics) as they model the remote control car race using equations and graphs, and analyze the two models.

Key vocabulary:

  • equation

  • proportional relationship

  • unit rate

  • variable