Lesson plan

3. Use equivalent fractions to solve problems (A)

teaches Common Core State Standards CCSS.Math.Content.3.NF.A.3a http://corestandards.org/Math/Content/3/NF/A/3/a
teaches Common Core State Standards CCSS.Math.Content.3.NF.A.3b http://corestandards.org/Math/Content/3/NF/A/3/b
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: Solve problems using equivalent fractions.

This lesson provides an opportunity for students to apply their knowledge and understanding of equivalent fractions to a real-life situation. Students are asked to evaluate the results from a frog-jumping contest to determine which frogs jumped the same distance.

Key Concept students will use: 

  • Equivalent fractions have the same value. They name the same amount of area of the same whole, and they are in the same position on the number line.

Skills students will use:

  • Use a fraction to name a location on a number line. (Grade 3, Unit 4)
  • Partition a number line to represent fractions. (Grade 3, Unit 4)
  • Use equivalent fractions to describe the same location on a number line.

Students engage in Mathematical Practice 4 (model with mathematics) as they represent fractions as numbers on a number line. Students partition the number line, locate fractions on the number line, and write equations to show the equivalence of fractions.

Key vocabulary: 

  • number line
  • partition
  • point
  • unit fraction

Special materials needed:

  • copies of same-sized number lines for students to partition (optional)