Lesson plan

Expand and factor expressions by using the distributive property

teaches Common Core State Standards CCSS.Math.Content.7.EE.A.1 http://corestandards.org/Math/Content/7/EE/A/1
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.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: The distributive property allows for equivalent expressions to be written as sums of products and products of sums. Expanding an expression is the act of distributing the factor/s through multiplication and factoring an expression undoes the distributive property by use of a common factor (or GCF). This lesson builds on students' prior work in applying the distributive property to expand and factor expressions developed in 6.EE.A.3 In this lesson, students will expand and factor expressions with whole positive, negative and rational numbers and deepen their understanding of the distributive property. They will understand that expanding and factoring are inverse processes. The launch introduces a bead pattern context which extends into the task. The task supports and extends students’ understanding of the 7.EE.A1 standards by engaging the students in reversing orders for a bead company. Expressions are used to represent the orders. Students must reason about common factors (and GCF) in order to factor expressions. Students learn that there are multiple ways in which an expression can be factored. 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 work with expanding and factoring polynomials in grade 8 and High School algebra. Vocabulary: expand, factor, greatest common factor, distributive Property Special Materials: None