*Develop rules for and understanding multiplication and division signed integers*

**Multiplication of Integers - Counters**

**Rules for multiplication of signed integers**

(Khan Academy: https://www.youtube.com/watch?v=rK4sXm_MPWo)

(Khan Academy: https://www.youtube.com/watch?v=pzQY-9Nmtws)

*Assignment: *

**Glencoe: 54-55 (1-6, 17-30)**

**Exercise 1: Multiplication of Integers in the Real-World **

Generate real-world situations that can be modeled by the following expressions:

a. −3 × 5

b. −6 × (−3)

c. 4 × (−7)

**Exercise 2: Word Problem**

Each time that Samantha rides the commuter train, she spends $4 for her fare. Write an expression that represents the change in Samatha’s money from riding the commuter train to and from work for 14 days, then, solve.

**Rules for signed division of integers**

*Assignment:*

**Glencoe:** **54-55 (7-12, 31-40)**

*Understanding multiplication and division of rational numbers*

**Multiplication of signed rational numbers**

**Example 1: Using the Commutative and Associative Properties to Efficiently Multiply Rational Numbers**

*a. Evaluate the expression below:*

−6 × 2 × (−2) × (−5) × (−3)

*b. What types of strategies were used to evaluate the expressions?*

*c. Can you identify the benefits of choosing one strategy versus another?*

*d. What is the sign of the product and how was the sign determined?*

**Exercise 1: **Find an efficient strategy to evaluate the expression and complete the necessary work.

−1 × (−3) × 10 × (−2) × 2

**Exercise 2: Find an efficient strategy to evaluate the expression and complete the necessary work.**

*What terms did you combine first and why?*

**Example 3: Using the Distributive Property to Multiply Rational Numbers**

Evaluate using the distributive property.

*Assignment: Multiplication: Glencoe: 99-100 (1-48 odd)*

**Division of signed rational numbers**

Glenco: 2-4 Ex2-5

*Assignment: Division: Glencoe: 105-106 (1-45 odd)*

**Example 4**

*Assessment*

Formative Assessment