Lesson plan

10. Writing equations to represent percentage change (C)

teaches Common Core State Standards CCSS.Math.Content.7.RP.A.3 http://corestandards.org/Math/Content/7/RP/A/3
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
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Lesson objective: Understand the connection between percent change and an equation that can be used to calculate percent change.

Students bring prior knowledge of percents from 6.RP.A.3.c. This prior knowledge is extended to writing and solving equations as students work on real world, multi-step percent problems. A conceptual challenge students may encounter is understanding percent increase and decrease and how to set up equations involving the original value, the new value, and the percent of change.

The concept is developed through work with a ratio equation, which moves students from a visual representation to writing equations to represent a situation involving percent.

This work helps students deepen their understanding of equivalence as use of a ratio equation shows an equivalent relationship between two values as represented by the percent of change.

Students engage in Mathematical Practice 1: Students make sense of problems and persevere in solving them as they work on real life, multi-step mathematical problems involving percent.

Key vocabulary:

  • double number line
  • original value
  • percent change
  • percent decrease
  • percent increase

Special materials needed:

  • graph paper
  • calculators (as needed)