Lesson plan

Solve a percent problem by using the constant of proportionality

teaches Common Core State Standards CCSS.Math.Content.7.EE.B.3 http://corestandards.org/Math/Content/7/EE/B/3
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

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Big Ideas: A sales tax increases the cost of an item by the constant of proportionality. A percent is another way to write a decimal or fraction that compares part to a whole where the whole is 100. This task provides students with the opportunity to use their knowledge of percent to work backwards in solving a multi-step problem. The solution to the task can be obtained through multiple strategies which will deepen students' understanding of proportionality. The task also facilitates a deeper understanding of calculating with percents. For example, multiplying by 1.065 will efficiently provide a buyer with the cost of an item including a 6.5% tax. Vocabulary: constant of proportionality, percent, tax Special Materials: Calculator as needed