Lesson plan

Divide a whole number by a unit fraction by drawing a model

teaches Common Core State Standards CCSS.Math.Content.5.NF.B.7b http://corestandards.org/Math/Content/5/NF/B/7/b
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: When we divide a whole number by a unit fraction, we want to think of the problem as “how many groups of this size will fit into that many wholes?” Drawing a model will help us see that our answer will be greater than the number we started with. This lesson introduces students to the concept of dividing a whole number by a unit fraction by drawing a model. The task gives students a real life context in which they must divide a whole number by a unit fraction in order to solve a problem. The suggested method of drawing a model will help them understand that instead of just thinking of it as dividing by a fraction, they should realize they are trying to find how many groups of that fractional size will fit into the number of wholes given. Drawing a model to complete the task will help students develop a concrete and conceptual understanding of dividing whole numbers by unit fractions. The mathematical concepts in this lesson build toward students' future work with division of fractions in sixth grade. Vocabulary: unit fraction, whole number, model, dividend, divisor, quotient Special Materials: None
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