Lesson plan

1. Using percent to compare (C)

teaches Common Core State Standards CCSS.Math.Content.7.EE.B.3 http://corestandards.org/Math/Content/7/EE/B/3
teaches Common Core State Standards CCSS.Math.Content.7.RP.A.3 http://corestandards.org/Math/Content/7/RP/A/3
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.MP3 http://corestandards.org/Math/Practice/MP3
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Lesson objective: Understand that percents are a way to compare relationships that are not based on the same reference whole by standardizing the comparison to a reference whole of 100.

Students bring prior knowledge that a percent is a type of ratio where a part is linked to a whole represented by a value of 100 from 6.RP.A.3.C This prior knowledge is extended to comparing relationships between values based on different totals as students calculate percents and use them to make comparisons. A conceptual challenge students may encounter is that percents represent the same value as the original relationship or ratio. 

The concept is developed through work with double number lines, which provides a visual model relationships between the various values.

This work helps students deepen their understanding of equivalence because students experience that a relationship written as a percent is equivalent to the original relationship.

Students engage in Mathematical Practice 1 as they make sense of and persevere in solving problems while applying their understanding of proportional reasoning to percents.

Key vocabulary:

  • double number line
  • equivalent
  • fraction
  • percent
  • ratio