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Lesson plan

8. Express ratios as two different unit rates (MELD)

teaches Common Core State Standards MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards 6.RP.A.2 http://corestandards.org/Math/Content/6/RP/A/2

8. Express ratios as two different unit rates (MELD)

Lesson objective: Practice writing two different unit rates for quantities in a proportional relationship.

This lesson helps to build fluency with converting ratios into unit rates. Ratio tables are used here because it supports students in keeping track of the units as we divide both components of the ratio to make a comparison with one. This work develops students' understanding that the same ratio or unit rate can be represented in different ways.

Students engage in Mathematical Practice 2 (Reason abstractly and quantitatively) as they attend to the meaning of quantities and keep track of the units involved. They also engage in Mathematical Practice 3 (Construct viable arguments and critique the reasoning of others) as they compare the effectiveness of one unit rate form over the other. 

Key vocabulary:

  • ratio
  • ratio table
  • scale up/down
  • unit rate