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



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

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

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

Representing values from JD K-4 Math on Vimeo.

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

Using Number Bonds to help skip count from JD K-4 Math on Vimeo.

Place value chart - Multiplying by multiples of 10 from JD K-4 Math on Vimeo.

Multiply by Multiples of 10 using Associative property from JD K-4 Math on Vimeo.



Dr. Peter Smith, Superintendent

P.O. Box 606
DeWitt, NY 13214

Phone: (315) 445-8300

Developed by CNYRIC