Lesson plan

Represent real life scenarios by writing numerical and algebraic expressions

teaches Common Core State Standards CCSS.Math.Content.7.EE.B.4 http://corestandards.org/Math/Content/7/EE/B/4
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3

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Big Ideas: Variables can be used as tools for expressing mathematical ideas clearly. Numerical and algebraic expressions represent real life scenarios in different yet similar ways. This lesson builds on students' prior work in using variables to write algebraic expressions to represent real world scenarios in 6.EE.B.6. In this lesson, students will build on that knowledge to write multi-step expressions with whole positive, negative, and rational number coefficients. Students deepen their understanding of expressions by matching verbal expressions with their algebraic equivalent. Students will write algebraic expressions to represent various scenarios. Students will compare numerical and algebraic representations of the same scenarios to look for similarities and differences between them. Students will interpret algebraic expressions to write scenarios. The launch introduces the importance of clearly defining a variable. The task supports and extends students’ understanding of the 7.EE.4 standards by engaging them in the essentials of defining variables, interpreting scenarios and writing expressions. The mathematical concepts in this lesson build towards students' future work in writing and solving equations in 7.EE.4b and in grade 8 functions and equations. Vocabulary: variable, scenario, verbal expression, numerical expression, algebraic expression Special Materials: Supplemental Handout: Expression Cards