Lesson plan

7. Using multiplying by one to maintain equivalence and to solve problems (A)

teaches Common Core State Standards CCSS.Math.Content.5.NF.B.5 http://corestandards.org/Math/Content/5/NF/B/5
teaches Common Core State Standards CCSS.Math.Content.5.NF.B.5a http://corestandards.org/Math/Content/5/NF/B/5/a
teaches Common Core State Standards CCSS.Math.Content.5.NF.B.5b http://corestandards.org/Math/Content/5/NF/B/5/b
teaches Common Core State Standards CCSS.Math.Content.5.NF.B.6 http://corestandards.org/Math/Content/5/NF/B/6
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
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Lesson objective: Apply knowledge and understanding of fraction and mixed number multiplication to solve real-life problems. 

This lesson provides an opportunity for students to apply their knowledge and understanding of multiplication of fractions and mixed numbers to a real-life situation. Students are asked to compare the hours animals sleep with the number of hours children their age sleep, first with prediction and then using equations to solve. Students are given fractional comparisons and asked to multiply fractions to find the number of hours the animals sleep. 

Key Concept students will use: 

  • Multiplying both fraction components by the same number preserves the relationship between them. This is the same result as multiplying by one.

Skills students will use:

  • multiplication for fractions, whole numbers and mixed numbers.
  • renaming mixed numbers as equivalent (Grade 4, Unit 9).

Students engage in Mathematical Practice 4 model with mathematics as they use a number line and equations to evaluate products based on the magnitude of a scaling factor. 

Key vocabulary: 

  • mixed number
  • scaling