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Lesson Plan

Interpret a quotient by drawing arrays and diagrams

teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
teaches Common Core State Standards CCSS.Math.Content.3.OA.A.2 http://corestandards.org/Math/Content/3/OA/A/2
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Big Ideas: The quotient in a division sentence can represent either the size of each group or the number of equal groups. In an array problem, the quotient in a division sentence can represent either the number in each row or the number of equal rows. Division can be defined by its inverse relationship with multiplication. This lesson builds on students' work with division and its inverse relationship with multiplication. In this task, students design a computer lab with equal rows of computers. Given a number, students draw arrays and diagrams to find the number of rows with an equal quantity within each row. By writing the equation and explaining their reasoning for choosing certain arrangements of rows and columns, students reason about different representations of a quotient. The mathematical concepts in this lesson build towards students’ understanding of the properties of multiplication and division. Vocabulary: divisor, dividend, quotient, diagram, array, inverse operation Special Materials: inch grid paper (as needed) square inch tiles (as needed)
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