      Module 1
Properties of Multiplication and Division and
Solving Problems with Units of 2-5 and 10

Overview

Throughout this Module, students will:
• use repeated addition to find total from a number of equal groups
• represent repeated addition in the form of array models
• work with the following factors: 2, 3, 4, 5, and 10
• understand division as an unknown factor problem
• relate meaning of unknown factors to either the number or size of groups
• make connections between multiplication and division
• use array model and skip counting strategies to solidify understanding of multiplication
• use drawings and equations to represent unknown factor in word problems
• apply distributive property by decomposing units to multiply
• solve partitive and measurement division problems
• use tape diagrams to represent multiplication and division
• explore commutative property as it relates to multiplication
• assess the reasonableness of answers for a variety of problem types
Vocabulary
 Terminology Definition illustration array a set of numbers or objects that follow a specific pattern, a matrix Commutative Property changing the order of the factors does not change the product equal groups with reference to multiplication and division; one factor is the number of objects in a group and the other is a multiplier that indicates the number of groups equation a statement that 2 expressions are equal (e.g., 3x4=12) Distributive Property when one of the factors of a product is a sum, multiplying each addend before adding does not change the product divide / division partitioning a total into equal groups to show how many equal groups add up to a specific number fact used to refer to multiplication facts factors the whole numbers that are multiplied to get a product multiplication / multiply an operation showing how many times a number is added to itself number of groups factor in a multiplication problem that refers to the total equal groups parentheses ( ) used around a fact or numbers within an equation quotient the answer when one number is divided by another rotate turn, used with reference to turning arrays 90 degrees row a horizontal arrangement of numbers or information in an array or table column a vertical arrangement of numbers or information in an array or table size of groups factor in a multiplication problem that refers to how many in a group unit one segment of a partitioned tape diagram unknown the missing factor or quantity in multiplication or division Representing values from JD K-4 Math on Vimeo.

tape diagram from JD K-4 Math on Vimeo.

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OUR SCHOOLS  Dr. Peter Smith, Superintendent P.O. Box 606 DeWitt, NY 13214 Phone: (315) 445-8300 www.jamesvilledewitt.org

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