Lesson plan

Understand real world scenarios by rewriting expressions in equivalent forms

teaches Common Core State Standards CCSS.Math.Content.7.EE.A.2 http://corestandards.org/Math/Content/7/EE/A/2
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.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: Rewriting an expression using the identity property of multiplication can help to interpret and solve problems in context. Percent increase and percent decrease scenarios can be written as a-pa and a+pa and rewritten as a(1-p) and a(1+p) The equivalence of these expressions can be verified by doing the calculations using both methods. This lesson builds on students' prior work in applying the distributive and identity properties of multiplication to expand and factor expressions developed in 7.EE.A.1. In this lesson, students will explore an investment context by rewriting the various expressions that represent the scenario in different ways. In the process, students discover that rewriting expressions can reveal simple and elegant algebraic generalizations. The launch introduces a percent increase context and the task supports and extends students’ understanding of the 7.EE.A.1 standards by engaging students in making an investment decision. Expressions are used to represent the various investment options. Students must reason about the expressions as they simplify. Students will model their thinking in tape diagrams. The mathematical concepts in this lesson build towards students' future work with solving equations in grades 7-8. It also provides a foundation for their future work with exponential functions in High School. Vocabulary: principal, interest rate, compound interest, investment Special Materials: Scientific Calculator