In Topic C, students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (34 × 24) and use tape diagrams to support their understandings. This, in turn, leads students to see division by a whole number as being equivalent to multiplication by its reciprocal. That is, division by 2, for example, is the same as multiplication by 12.
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From EngageNY.org of the New York State Education Department. Grade 5 Mathematics Module 4, Topic C Overview.
Available from engageny.org/resource/grade-5-mathematics-module-4-topic-c-overview; accessed 2015-05-29.
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