Lesson plan

5. Use equations and graphs to predict costs and profits (A)

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.Content.7.RP.A.2d http://corestandards.org/Math/Content/7/RP/A/2/d
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
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Lesson Objective: Apply knowledge of representing proportional relationships with equations and graphs.

Students will apply their knowledge of proportional relationships, equations, tables, and graphs to create a pitch to potential investors, their parents, for a pizza parlor. This lesson builds on students’ work with graphing and constant of proportionality, and introduces the idea of profit being the difference between sales and costs.

Key Concept students will use:

  • Quantities in a proportional relationship change together in the same way.

Skills students will use:

  • Using double number lines to explore proportional relationships between unlike units.

Students engage in Mathematical Practice 4 as they model the relationship between profits, costs, and selling prices. MP6 (attend to precision) is also important in this lesson as students must figure out the relationships between multiple quantities and relationships.

Key vocabulary:

  • double number line

  • per

  • proportional relationship

  • rate

  • unit rate