Lesson plan

1. Understand that mathematical relationships can be represented as expressions (C)

teaches Common Core State Standards CCSS.Math.Content.6.EE.B.6 http://corestandards.org/Math/Content/6/EE/B/6
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8
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Lesson objective: Understand that numerical values can be represented as expressions using a ratio and multiplication. 

Students bring prior knowledge of ratios from 6.RP.A.3. This prior knowledge is extended to expressions as students use the ratio to write a multiplicative expression. A conceptual challenge students may encounter is using a variable to represent a numerical value.

The concept is developed through work with a table, which helps students realize the relationship between a variable and an expression is the same relationship within the table of numerical values.

This work helps students deepen their understanding of number because a number is no longer written solely as a numerical value but numbers can also be represented as expressions.

Students engage in Mathematical Practice 4 (Model with Mathematics) as they use tables to understand the relationship between two numbers and write expressions to model that relationship.

Key vocabulary:

  • expression
  • ratio
  • unit rate
  • variable