Lesson plan

4. Identifying equivalent equations (C)

teaches Common Core State Standards CCSS.Math.Content.6.EE.B.5 http://corestandards.org/Math/Content/6/EE/B/5
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
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Lesson objective: Understand that equivalent equations have the same solution. 

Students bring prior knowledge that mathematical relationships can be represented with expressions and that we can use those expressions as we use numbers from 6.EE.B6.C. This prior knowledge is extended to equivalent equations as students develop the understanding that equivalent equations have the same solution.  A conceptual challenge students may encounter is understanding that equations can look different but still be equivalent.  

The concept is developed through work with tape diagrams and number lines, which demonstrate how different equations can have the same solution.

This work helps students deepen their understanding of equivalence because equivalent equations have the same solution. 

Students engage in Mathematical Practice 2 (Reason abstractly and quantitatively) as they use math reasoning, visual models, and arithmetic operations to solve for the value of each variable. 

Key vocabulary:

  • equation
  • equivalent
  • solution
  • variable