Lesson plan

6. Use partitive division of fractions to solve real-world problems (FP)

teaches Common Core State Standards CCSS.Math.Content.5.NF.B.6 http://corestandards.org/Math/Content/5/NF/B/6
teaches Common Core State Standards CCSS.Math.Content.5.NF.B.7c http://corestandards.org/Math/Content/5/NF/B/7/c
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective:  Practice distinguishing between the meaning of whole numbers divided by unit fractions and unit fractions divided by whole numbers.

This lesson helps to build procedural skill with dividing whole numbers by unit fractions and unit fractions by whole numbers. Number lines are used here because they support the student in using the meaning of the dividend, divisor, and quotient. This work develops students' understanding that division is not commutative.

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they represent division situations and distinguish between representations that show different division structures.

Key vocabulary:

  • commutative property

Special materials needed:

  • Blank number lines (optional)