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- 3.OA.B.5Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 Ã 4 = 24 is known, then 4 Ã 6 = 24 is also known. (Commutative property of multiplication.) 3 Ã 5 Ã 2 can be found by 3 Ã 5 = 15, then 15 Ã 2 = 30, or by 5 Ã 2 = 10, then 3 Ã 10 = 30. (Associative property of multiplication.) Knowing that 8 Ã 5 = 40 and 8 Ã 2 = 16, one can find 8 Ã 7 as 8 Ã (5 + 2) = (8 Ã 5) + (8 Ã 2) = 40 + 16 = 56. (Distributive property.)
- 3.OA.B.6Understand division as an unknown-factor problem. For example, find 32 Ã· 8 by finding the number that makes 32 when multiplied by 8.

Exploring the Idea of Division

3rd Grade Math

Â» Unit:

Introduction to Basic Division

Big Idea:The cognitive dissonance experienced when encountering novel, out of level division problems will lead to more deeply internalized understanding of the basic concepts of division to be mastered at the 3rd grade level.

Using Journaling to Create Lessons

3rd Grade Math

Â» Unit:

Understanding Division

Big Idea:The students have been working on creating equal groups in order to make sense of multiplication. Now they will use that knowledge to work "backwards" and solve division equations.

Designs with Nines: Patterns in Multiplication and Division (Day 2)

3rd Grade Math

Â» Unit:

Introduction to Basic Division

Big Idea:Repetition helps students build fluency with multiplication and division. The activities that contain the opportunities to practice their facts can be meaningful, creative, and open-ended.

Math with Maples

3rd Grade Math

Â» Unit:

Division in Context

Big Idea:Patterns in division and multiplication can be found in nature, and an understanding of these patterns enables scientists to conduct systematic research.

Drawing Equal Group Models

3rd Grade Math

Â» Unit:

Introduction to Basic Division

Big Idea:The equal groups model used in multiplication can be used to solve division problems as well!

Quotients - Just the Basics

3rd Grade Math

Â» Unit:

Introduction to Basic Division

Big Idea:Just like multiplication, addition, and subtraction, division problems involve patterns and there are methodical ways in which manipulatives can be used to solve division problems with small dividends and divisors of 1 through 10.

The Multiplication and Division Connection

3rd Grade Math

Â» Unit:

Sharing Equally with Division

Big Idea:Students can solve multiplication and division problems quickly by recognizing the relationship between the two operations.

Grouping or Sharing?

3rd Grade Math

Â» Unit:

Understanding Division

Big Idea:Division is a complex task for children of this age. Realizing what information a word problem supplies and what needs to be found is fundamental and challenging. This lesson begins that challenge.

Using the Multiplication and Division Relationship to Solve

3rd Grade Math

Â» Unit:

Sharing Equally with Division

Big Idea:Students can solve multiplication and division problems quickly by recognizing the relationship between the two operations.

Division by Sharing Vs. Grouping (Day 2)

3rd Grade Math

Â» Unit:

Understanding Division

Big Idea:Children need to understand that there are two different contexts for division. This 3 day lesson path will engage them in activities that act out the different types.

Division Game With Dice

3rd Grade Math

Â» Unit:

Division

Big Idea:Practicing division skills through a game format engages students.

The Multiplication - Division Relationship

3rd Grade Math

Â» Unit:

Understanding Division

Big Idea:Critical Area 1 for third grade states that students must use a variety of solution strategies in order to learn the relationship between multiplication and division. This lesson takes the students through several strategies.

Navigating Road Blocks in Problem Solving

3rd Grade Math

Â» Unit:

Multiply or Divide with Word Problems

Big Idea:Students can solve real world problems using their understanding of multiplication and division and recognizing their relationship.

Testing Trail Mix

3rd Grade Math

Â» Unit:

Math and Me: Nutrition, Health and More

Big Idea:Create a snack for testing week while practicing division and multiplication.

Building Our Problem Solving Tools

3rd Grade Math

Â» Unit:

Multiply or Divide with Word Problems

Big Idea:Students can solve real world problems using their understanding of multiplication and division and the relationship they share.

3.OA.B.5

Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 Ã 4 = 24 is known, then 4 Ã 6 = 24 is also known. (Commutative property of multiplication.) 3 Ã 5 Ã 2 can be found by 3 Ã 5 = 15, then 15 Ã 2 = 30, or by 5 Ã 2 = 10, then 3 Ã 10 = 30. (Associative property of multiplication.) Knowing that 8 Ã 5 = 40 and 8 Ã 2 = 16, one can find 8 Ã 7 as 8 Ã (5 + 2) = (8 Ã 5) + (8 Ã 2) = 40 + 16 = 56. (Distributive property.)

3.OA.B.6

Understand division as an unknown-factor problem. For example, find 32 Ã· 8 by finding the number that makes 32 when multiplied by 8.