This document discusses multiplying integers. It begins with examples of using a number line and counters to model integer multiplication. Students are instructed to complete examples multiplying 3(2), 3(-2), and -3(-2) using counters and a number line. The document concludes by stating the rules for multiplying integers: the product of two integers with the same sign is positive, and the product of two integers with different signs is negative.

1. MULTIPLYING INTEGERS

2. BELL RINGER
• The absolute value of two numbers that are
additive inverses will __?__ be the same.
• a) always b) sometimes c) never
• You earn $5 per hour at your job in a restaurant but
pay for any food you eat. On Friday, you receive a
check for 7 hours of work, minus $8.90 for food.
What is the amount of your check?

3. BELL RINGER
• The absolute value of two numbers that are
additive inverses will __?__ be the same.
• a) always b) sometimes c) never
• You earn $5 per hour at your job in a restaurant but
pay for any food you eat. On Friday, you receive a
check for 7 hours of work, minus $8.90 for food.
What is the amount of your check?
• 7 x 5 = $35
• $35 - $8.90= $26.10

4. WHERE WE WERE…
• Adding and Subtracting Integers
• Properties of addition
• Order of Operations
• Distributive Property
• Solving equations
• “The opposite of…”

5. WHERE WE ARE…
• Students will learn to…
• Use a number line to show multiplication of
integers.
• Use Counter Chips to model multiplication of
integers.

6. MODELING/NUMBER LINE ACTIVITY
• Fold your paper in half length wise
• Fold your paper in half width wise
• Number the square 1-4 as shown
• Write each problem in the top of the square
• In each square, include the model and number line we
create.
• Counter Chips – yellow is positive, red is negative
1 4
2 3

7. #1 3(2) = 6
• 3(2) means three groups of 2
• Use the Counter Chips to model three groups of 2.
• Use a number line to show three groups of 2

8. #2 3(-2) = -6
• 3(-2) means three groups of -2.
• Use Counter Chips to model three groups of -2.
• Use a number line to model three groups of -2.

9. #4 -3(-2)
• -3(-2) means the opposite of three groups of -2
which changes to…. Three groups of 2
• Use the Counter Chips to model the opposite of
three groups of -2.
• Use a number line to show the opposite of three
groups of -2.

10. RULES
• Positive x Positive = Positive
• Positive x Negative = Negative
• Negative x Positive = Negative
• Negative x Negative = Positive
• When multiplying two numbers with the same
sign, your answer is positive. If signs are
different, your answer is negative.