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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.

Representing values from JD K-4 Math on Vimeo.

Commutative Property of Multiplication from JD K-4 Math on Vimeo.

mod 1Decomposing a Multiplication Sentence from JD K-4 Math on Vimeo.


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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