EDEE 230 Quiz on Multiplication & Division

EDEE 230 Quiz on Multiplication & Division - EDEE 230...

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EDEE 230 Quiz on Multiplication & Division · Problem types for multiplication and division (e.g., partitive division, measurement division, multiplication). You should be able to identify problem types. “Big Ideas” of multiplicative Thinking Underlying Concept: Grouping Treating a set as a unit and counting those sets (groups) Related to the development of base 10 (groups of 10) Equal size groups (e.g., fair sharing) Multiplication is the same as repeated addition. Distributive property of multiplication over addition Multiplication and division are inverse relations. Multiplication is commutative . Give students opportunities to invent and use their own strategies . Early on, use story problems, quick images and arrays to develop understanding of grouping and counting groups. Unit transforming vs. unit preserving E.g., 3 groups of 4 cookies = 12 cookies (unit preserving); 3 meters x 4 meters = 12 meters² (unit transforming) Multiplication: factor × factor = product Repeated addition : 3×4=4+4+4 and 4×3=3+3+3+3 Equal groups or sets : 3×4 number of object I 3 sets of 4 An array : 3×4 total number of items in a 3-by-4 array Division: dividend ÷ divisor = quotient + remainder Partitive: a ÷ b-> a divided into b equal groups the divisor tells you how many equal groups to make
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