Lesson plan

Solve division of fraction problems by multiplying by the multiplicative inverse

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teaches Common Core State Standards 6.NS.A.1 http://corestandards.org/Math/Content/6/NS/A/1
teaches Common Core State Standards MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards MP8 http://corestandards.org/Math/Practice/MP8
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Big Ideas: A fraction division calculation can be changed into an equivalent multiplication calculation.( a/b ÷ c/d = a/b x d/c, where b, c, and d = 0). Multiplication and division are inverse operations. In preparation for division with fractions, students need to understand the relationship between multiplication and division. Although the “invert and multiply” procedure provides an accurate quotient, it does not promote deep conceptual understanding. Since division of a whole number by a whole number is the same as multiplying the number by its inverse--a unit fraction--students can reason that dividing by a fraction is the same as multiplying by its inverse or reciprocal. Vocabulary: quotient, divisor, dividend, inverse operations Special Materials: graph paper