Lesson plan

11. Solving multi-step problems with positive rational numbers (A)

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.Practice.MP2 http://corestandards.org/Math/Practice/MP2
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Lesson objective: Solve multi-step problems involving rational numbers.

This lesson provides an opportunity for students to apply their knowledge and understanding of addition and subtraction with fractional numbers to a real-life  situation. Students are asked to determine combinations of fractions that have a given sum. They may approach the problem by converting ounces to pounds, and then adding, or by adding ounces first, and then converting the sum to pounds.

Key Concept students will use: 

  • We can use equivalent forms of rational numbers and the relationships between operations to solve problems.

Skills students will use:

  • Adding and subtracting fractions (Grade 7, Unit 4)
  • Applying properties of operations to expressions (Grade 6, Unit 8)
  • Proportional reasoning (Grade 7, Unit 1)

Students engage in Mathematical Practice 2 (reason abstractly and quantitatively) as they manipulate different combinations of mixed numbers with multiplication and addition.

Key vocabulary: 

  • properties of operations
  • equivalent fraction