# Unit 3 Connecting and Using Multiplication and Division

**In Unit 3 students will:**

- Apply products of operations as strategies to multiply and divide.
*Examples: If 6 x 4 = 24 is known, the 4 x 6 = 24 is also known. (Commutative property of multiplication) 3 x 5 x 2 can be found by 3 x 5 = 15, then 15 x 2 = 30, or by 5 x 2 = 10, then 3 x 10 = 30. (Associative property of multiplication.) Knowing that 8 x 5 = 40 and 8 x 2 = 16, one can find 8 x 7 as 8 x (5 + 2) = (8 x 5) + (8 x 2) = 40 + 16 = 56. (Distributive property.)* - Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows that 40 ÷ 5 = 8) or properties of operations. By the end of grade 3, know from memory all products of two one-digit numbers.
- Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g. by using drawings and equations with a symbol for the unknown number to represent the problem.
- Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
*For example, determine the unknown number that makes the equation true in each of the equations 8 x ? = 48, 5= ? ÷ 3, 6 x 6 = ?* - Understand divisions as an unknown-factor problem.
*For example, find 32÷ 8 by finding the number that makes 32 when multiplied by 8.*

**By the end of Unit 3 your child should be able to answer the following question:**

- How can knowing my multiplication facts help me become more fluent with my division facts?

The following videos explain some of the topics covered in Unit 3.

**Commutative Property**

**Distributive Property**

**Distributive Property**

**Inverse Operations**

**Associative Property**

**Associative Property**

**Square Numbers**

**Divisibility by 9 Rule**

Divisibility Rule for 9 from Mrs. Pease on Vimeo.

**Finding Half a Number**

**Solving Multiplication Word Problems by Making Equal Groups**

**Solving Division Word Problems by Making Equal Groups**

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