Lesson plan

5. Comparing distances with like numerators (A)

teaches Common Core State Standards CCSS.Math.Content.3.NF.A.3 http://corestandards.org/Math/Content/3/NF/A/3
teaches Common Core State Standards CCSS.Math.Content.3.NF.A.3d http://corestandards.org/Math/Content/3/NF/A/3/d
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
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Lesson objective: Apply the strategy of common numerators to compare fractions.

This lesson provides an opportunity for students to apply their knowledge and understanding of comparing fractions with like numerators in a real-life situation. Students are asked to help someone determine the winner of each race and help her determine how far she must work on running in training to be the champion next year. 

Key Concept students will use: 

  • Comparing fractions with like numerators by reasoning about the size of the pieces being compared

Skills students will use:

  • Comparing numbers
  • Interpreting fractions as numbers
  • Determining a way to visual represent the fractions

Students engage in Mathematical Practice 5 (Use appropriate tools strategically) as they create visual models to represent each of the fractions. Students may have to utilize number lines, fraction strips, area models, or some other method. It is helpful for students to use a tool that will help them "see" the fraction to reinforce their reasoning about size.

Key vocabulary: 

  • area model
  • compare
  • denominator
  • number line
  • numerator
  • tape diagram

Special materials needed:

  • fraction strips
  • paper
  • pencil