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Lesson Plan

11. Understand that equivalent expressions have the same value (C)

teaches Common Core State Standards CCSS.Math.Content.6.EE.A.2 http://corestandards.org/Math/Content/6/EE/A/2
teaches Common Core State Standards CCSS.Math.Content.6.EE.A.4 http://corestandards.org/Math/Content/6/EE/A/4
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective: Extend understanding of equivalence to include algebraic expressions.

Students bring prior knowledge of algebraic expression from 6.EE.B.6. This prior knowledge is extended to the concept of equivalence as students evaluate the expressions for multiple values of the variable. A conceptual challenge students may encounter is understanding that non-equivalent expressions can sometimes have the same value. 

The concept is developed through work with area models and substitution, which aid students in extending knowledge of equal value and equal area to the abstract concept of equivalent expressions.

This work helps students deepen their understanding of equivalence because students will model and evaluate expressions to determine which expressions have the same value regardless of which value is used in place of the variable.

Students engage in Mathematical Practice 2 (Reason abstractly and quantitatively) as they use the properties of operations to evaluate, and area models to represent different-looking expressions to determine which expressions are equivalent. 

Key vocabulary:

  • Equivalent expressions

 

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Appears in

Algebraic expressions

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