Lesson Plan

10. Paper Decorations: Solve problems with sums and differences of fractions with different sized pieces (A)

teaches Common Core State Standards CCSS.Math.Content.5.NF.A.1 http://corestandards.org/Math/Content/5/NF/A/1
teaches Common Core State Standards CCSS.Math.Content.5.NF.A.2 http://corestandards.org/Math/Content/5/NF/A/2
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
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Lesson objective: Solve multi-step problems involving sums and differences of fractions with different sized pieces.

This lesson provides an opportunity for students to apply their knowledge and understanding of addition and subtraction of fractions with different sized pieces to a real-life situation. Students are asked to compute the amount of paper needed for decorating a classroom, then identify two values from a list that may be used to find the missing value.

Key Concept students will use: 

  • We can use the magnitude of fractions to be added or subtracted to estimate the sum or difference as less than or greater than some whole number, or to tell what two whole numbers the result should fall between.

  • Naming the sum or difference of two fractions as one number requires rewriting the fractions with same size pieces.

Skills students will use:

  • Find equivalent fractions (Grade 3, Unit 10)
  • Calculate sums and differences of fractions in multi-step expressions

Students engage in Mathematical Practice 4 (Model with mathematics) as they apply the mathematics they know to solve problems arising in everyday life. Students use tools, such as tape diagrams, to analyze relationships between quantities and draw mathematical conclusions.

Key vocabulary: 

  • sum
  • difference
  • equivalent
  • decompose
  • denominator

Special materials needed:

  • Students may need fraction tape for intervention.
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