Lesson plan

9. Use multiplication and division to generate equivalent fractions (A)

teaches Common Core State Standards CCSS.Math.Content.4.NF.A.1 http://corestandards.org/Math/Content/4/NF/A/1
teaches Common Core State Standards CCSS.Math.Content.4.NF.A.2 http://corestandards.org/Math/Content/4/NF/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
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Lesson objective: Apply multiplication and division to generating equivalent fractions.

This lesson provides an opportunity for students to apply their knowledge and understanding of generating equivalent fractions to a mathematical situation. Students are asked to create an equivalent alien juice recipe with given instructions.

Key Concept students will use: 

  • a/b = (nxa)/(nxb) because we have n times as many pieces in the whole. Each piece is n times smaller, so we need n times as many of them to cover the same distance or the same area.

Skills students will use:

  • generating equivalent fractions (Grade 3, Unit 10)
  • combining and partitioning models to generate equivalent fractions
  • multiplication and division facts to find missing factor or divisor (Grade 3, Unit 7)

Students engage in Mathematical Practice 5 (use apprpriate tools strategically) as they decide how models, number lines, and fraction sense will help them find equivalence with multiplication or division.

Key vocabulary: 

  • denominator
  • divide
  • equivalent
  • multiply
  • numerator