Apply properties of operations as strategies to multiply and divide. 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.) (Students need not use formal terms for these properties.)

##### Standard Type

Michigan State Math Standards### Related Lessons

#### A Model for Division

Mr. Lineberger loves playing games with dice. He needs your help to figure out how many each of his friends will get when they come over to play games. We can use division to help him figure it out.

#### Multiplying By 9 Strategies And Practice

Explore the Multiply by 9 facts by recognizing there is only one new fact: 9 x 9. Compete against characters to see who finds the product first. Play games and use your fingers to practice multiplying. Use multiplication facts you already know to help find the product when one factor is 9.

#### Multiplying By 8 Strategies And Practice

Explore the Multiply by 8 facts using the grouping of objects and arrays. Compete against characters to see who finds the product first. Practice with the commutative property of multiplication and 8's. Use multiplication facts you already know to help find the product when one factor is 8.

#### Multiplying By 7 Strategies And Practice

Explore the Multiply by 7 facts using the grouping of objects and arrays. Compete against characters to see who finds the product first. Practice with the commutative property of multiplication and 7's. Use multiplication facts you already know to help find the product when one factor is 7.

#### Multiplying By 6 Strategies And Practice

Explore the Multiply by 6 facts using the grouping of objects and arrays. Compete against characters to see who finds the product first. Practice with the commutative property of multiplication and 6's. Use multiplication facts you already know to help find the product when one factor is 6.