Lesson plan

10. Recipe Riddle: Applying Distributive Property Equations (A)

teaches Common Core State Standards CCSS.Math.Content.7.EE.B.4 http://corestandards.org/Math/Content/7/EE/B/4
teaches Common Core State Standards CCSS.Math.Content.7.EE.B.4a http://corestandards.org/Math/Content/7/EE/B/4/a
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Lesson objective: Solve problems that result in equations with the distributive property.

This lesson provides an opportunity for students to apply their knowledge and understanding of solving and the distributive property to a real-life situation. Students are asked to figure out how much flour the smudged recipe requires for cupcake batter, and the scale factor that each ingredient should be multiplied by to make 30 cupcakes.

Key Concept students will use: 

  • Equivalent equations have the same solution, and properties of equality allow us to transform equations into other equivalent equations.
  • Properties of operations hold for expressions that may have an unknown value. For instance, we can apply the distributive property to 3(n+4) just as we can to 3(5+4). The result is 3n+12, and we can verify that this expression has the same value for all rational numbers, n.

Skills students will use:

  • Writing and solving equations of the form px + q = r
  • Writing and solving equations of the form p(x+q) = r

Students engage in Mathematical Practice 4 (Model with Mathematics) as they write and solve a multi-step linear equation to figure out an incomplete recipe.

Key vocabulary: 

  • distributive property
  • solve