Lesson plan

Solve real-world problems that involve area by using substitution in single-step equations

teaches Common Core State Standards CCSS.Math.Content.6.EE.B.7 http://corestandards.org/Math/Content/6/EE/B/7
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: Numbers can be substituted for variables to determine hypothetical values. Area models can be used as justification for solving equations that involve multiplication. This lesson builds on solving for variables in equations by asking students to apply the concept of area. In this task, students are asked to determine the missing dimensions for multiple rectangles in order to meet the criteria of the rectangles totaling 125 square feet. Students justify their solutions using substitution in algebraic equations and also draw visual models that represent the equation. This concept builds toward solving for variables in inequalities and two-step equations. Vocabulary: variable, algebraic equation, substitute, solution, area, length, width, square units Special Materials: none