      Module 3
Multiplication and Division with Units
of 0, 1, 6-9, and Multiples of 10

Overview

Throughout this Module, students will:
• review commutative property for facts of 6, 7, 8, and 9
• build fluency with familiar multiplication and division facts
• model associative property as a strategy to multiply
• apply distributive property to multiply and divide
• multiply and divide using a letter to represent the unknown
• skip count to multiply and divide
• use number bonds to decompose
• work with facts of 0 and 1
• understand the concept of zero as it relates to division
• solve two-step problems involving all four operations
• work with equations involving unknown quantities
• apply rounding skills to assess reasonableness of solutions
• multiply by multiples of 10 by modeling on place value chart
Vocabulary

 Terminology Definition Illustration Array a set of numbers or objects that follow a specific pattern Associative  Property of Multiplication changing the groupings of three or more factors does not change the product Column a vertical arrangement of numbers or information in an array or table Commutative Property of Multiplication changing the order of the factors does not change the product Decompose to separate a number into 2 or more parts Distributive Property when one of the factors of a product is a sum, multiplying each addend before adding does not change the product Divide to separate into equal groups and find the number in each group or the number of groups Equal groups Groups that contain the same number of objects. When dividing, items are separated into equal groups. Equation a statement that two expressions are equal Expression a mathematical phrase without an equal sign Factors numbers that are multiplied to obtain a product Multiply an operation showing how many times a number is added to itself Number bond a pictorial representation of part-part-whole relationships the smaller numbers (parts) make up the larger number (whole) Product the answer to a multiplication problem Quotient the answer when one number is divided by another Row a horizontal arrangement of numbers or information in an array or table Tape diagram a method for modeling problems Unit one segment of a partitioned tape diagram Unknown the "missing" factor or quantity in multiplication or division Value how much DISTRICT

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

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