Lesson plan

4. Can Conundrum: Relate proportional relationships to fraction multiplication (C)

teaches Common Core State Standards CCSS.Math.Content.7.NS.A.3 http://corestandards.org/Math/Content/7/NS/A/3
teaches Common Core State Standards CCSS.Math.Content.7.RP.A.1 http://corestandards.org/Math/Content/7/RP/A/1
teaches Common Core State Standards CCSS.Math.Content.7.RP.A.2a http://corestandards.org/Math/Content/7/RP/A/2/a
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson Objective: Understand that we can use the same multiplication ideas with fractions as we can with whole numbers to maintain proportional relationships.

Students use their understanding of proportional relationships, as well as their understanding of fraction multiplication to solve problems. They learn about how to use multiplicative inverses to find a way to scale a recipe as they create different numbers of servings of pasta sauce.

Students engage in Mathematical Practices 4 and 7 in this lesson. They model the scenario using a table (MP4), ensuring that the relationships between the ingredients are maintained regardless of the amounts being used. They also make use of structure (MP7), taking advantage of multiplicative relationships within the table to find unknown quantities.

Key vocabulary:

  • reciprocal or multipicative inverse

  • proportional reasoning