Lesson plan

Prove an equation is true by using the properties of operations

teaches Common Core State Standards CCSS.Math.Content.3.OA.B.5 http://corestandards.org/Math/Content/3/OA/B/5
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.MP6 http://corestandards.org/Math/Practice/MP6
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Big Ideas: Factors can be multiplied in any order using the commutative property. Factors can be grouped in any order using the associative property. Computational procedures can be solved fluently using properties of operations such as the identity property and the zero property. This lesson builds on students' work solving multiplication and division problems using three whole numbers. This task uses a river scene where students become kayakers who must find equal expressions as they race along the rapids. Students cut out and match expressions to form equations, then draw and write different representations of the properties of operations in order to justify their reasoning. The mathematical concepts in this lesson build the ability to use properties of operations to fluently solve multiplication and division real-world problems. Vocabulary: Zero Property of Multiplication, Multiplicative Identity Property of 1, Commutative Property of Multiplication, Associative Property of Multiplication, equation Special Materials: handouts (one set per student or group) scissors glue (optional)