Lesson plan

10. Finding Fractions with Different Denominators on a Number Line (A)

teaches Common Core State Standards CCSS.Math.Content.3.MD.B.4 http://corestandards.org/Math/Content/3/MD/B/4
teaches Common Core State Standards CCSS.Math.Content.3.NF.A.2 http://corestandards.org/Math/Content/3/NF/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
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Lesson objective: Locate fractions on a number line that is partitioned into a different denominator.

This lesson provides an opportunity for students to apply their knowledge and understanding of locating fractions on a number line to a mathematical situation. Students are asked to complete a drawing of a number line labeling both fourths and thirds on the same line.

Key Concept students will use: 

  • When a whole is partitioned into b equal sized pieces, each piece is 1/b of the whole. It takes b of these pieces to make the whole. When we take a of those pieces, the result is a/b.

Skills students will use:

  • partitioning a number line to find fractions (Grade 3, Unit 4)
  • re-partitioning a number line to find distances or lengths with precision (Grade 3, Unit 5)

Students engage in Mathematical Practice 6 (attend to precision) as they partition a number line into different size pieces to find fractions with different denominators.

Key vocabulary: 

  • denominator
  • partition
  • same-size pieces
  • unit fraction