3.OA.B.5

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

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## 3.OA.B.5

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

26 Lesson(s)

### Decomposing Arrays, Day 1

3rd Grade Math »
Unit: Using Multiplication to Find Area

3rd Grade Math »
Unit: Using Multiplication to Find Area

Big Idea:

#### Students need to practice deconstructing arrays with manipulatives in order to conceptualize the distributive property. This 3 day lesson takes the children through increasingly sophisticated activities to explore the "why" and "how" of this property.

Favorites
(16)

Resources
(11)

Reflections
(1)

### Multiplication Using The Commutative Property

3rd Grade Math »
Unit: Multiplication 2

3rd Grade Math »
Unit: Multiplication 2

### Distributive Property, Day 1

3rd Grade Math »
Unit: Using Multiplication to Find Area

3rd Grade Math »
Unit: Using Multiplication to Find Area

### Associative Property

3rd Grade Math »
Unit: Understanding Multiplication

3rd Grade Math »
Unit: Understanding Multiplication

### Distributive Property, Day 2

3rd Grade Math »
Unit: Using Multiplication to Find Area

3rd Grade Math »
Unit: Using Multiplication to Find Area

### Decomposing Given Large Areas, Day 3

3rd Grade Math »
Unit: Using Multiplication to Find Area

3rd Grade Math »
Unit: Using Multiplication to Find Area

Big Idea:

#### Students have been working with decomposing arrays in order to practice finding small areas and putting the totals together. In this third lesson, they will work on finding smaller areas that make the mental math more feasible.

Favorites
(2)

Resources
(15)

Reflections
(1)

### Fun with Four: Decomposing to Known Factors of 1, 2, and 5

3rd Grade Math »
Unit: Multiplication

3rd Grade Math »
Unit: Multiplication

### Associative Property With Manipulatives

3rd Grade Math »
Unit: Understanding Multiplication

3rd Grade Math »
Unit: Understanding Multiplication

Big Idea:

#### Children need to understand why the mathematical properties work and how they are applied. In this lesson, we explore modeling and "proving" the associative property.In this lesson, we explore modeling and "proving" the associative property.

Favorites
(12)

Resources
(15)

Reflections
(2)

### The Multiplication and Division Connection

3rd Grade Math »
Unit: Sharing Equally with Division

3rd Grade Math »
Unit: Sharing Equally with Division

### Multiples in a Minute

5th Grade Math »
Unit: Multiplication Madness

5th Grade Math »
Unit: Multiplication Madness

### Discovering Relationships: Multiplication & Division (1 of 2)

3rd Grade Math »
Unit: The Relationship Between Multiplication and Division

3rd Grade Math »
Unit: The Relationship Between Multiplication and Division

### Multiplication Properties

4th Grade Math »
Unit: Multiplication and Division Meanings

4th Grade Math »
Unit: Multiplication and Division Meanings

Big Idea:

#### Multiplication Properties are rules that can be used to help with math computation.

Standards:

Favorites
(6)

Resources
(17)

Reflections
(1)

### Using the Multiplication and Division Relationship to Solve

3rd Grade Math »
Unit: Sharing Equally with Division

3rd Grade Math »
Unit: Sharing Equally with Division

### Decomposing Given Large Areas Day 2

3rd Grade Math »
Unit: Using Multiplication to Find Area

3rd Grade Math »
Unit: Using Multiplication to Find Area

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HS Algebra

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Ninth and Tenth Grade

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