1. Module 2 Lesson 11.notebook
11/18/13
November 18, 2013
Module 2, Lesson 11
Develop Rules for
Multiplying Signed Numbers
HW: Lesson 11 Problem Set #1-4
and CRS 8 due tomorrow
Do Now:
Exit Ticket For Lesson 10
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2. Module 2 Lesson 11.notebook
November 18, 2013
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3. Module 2 Lesson 11.notebook
November 18, 2013
Problem Set 10 Answer Key
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4. Module 2 Lesson 11.notebook
November 18, 2013
Problem Set 10 Answer Key
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5. Module 2 Lesson 11.notebook
November 18, 2013
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6. Module 2 Lesson 11.notebook
November 18, 2013
Part B: Complete quadrant 2 of the table.
a. What relationships or patterns do you notice between the
products (values) in quadrant two and the products (values) in
quadrant 1?
­25­20 ­15 ­10 ­5
­20 ­16­12 ­8 ­4
b. What relationships or patterns do you notice between the
products (values) in quadrant two and the products
(values) in quadrant four?
5 10 15 20 25
­15 ­12 ­9 ­6 ­3
3 6
­10 ­8 ­6 ­4 ­2
2
4
8
­5 ­4 ­3 ­2 ­1
1
2
3 4
4
8 12 16 20
9 12 15
10
5
­5 ­4 ­3 ­2 ­1
c. Use what you know about the products (values) in
quadrant one, two, and four to describe what quadrant
three will look like when its products (values) are entered.
­1 ­2 ­3 ­4 ­5
­2 ­4 ­6 ­8 ­10
­3 ­6 ­9 ­12 ­15
­4 ­8 ­12 ­16 ­20
­5 ­10 ­15 ­20 ­25
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7. Module 2 Lesson 11.notebook
November 18, 2013
Part C: Complete the quadrant 3 of the table.
Refer to the completed table to help you answer the following questions:
f. Is it possible to know the sign of a product of two
integers just by knowing in which quadrant each integer ­25­20 ­15 ­10 ­5
is located? Explain.
­20 ­16­12 ­8 ­4
g. Which quadrants contain which values? Describe
an integer game scenario represented in each
quadrant.
5 10 15 20 25
4
­15 ­12 ­9 ­6 ­3
8 12 16 20
3 6 9 12 15
­10 ­8 ­6 ­4 ­2
2
4
8
­5 ­4 ­3 ­2 ­1
1
2
3 4
10
5
­5 ­4 ­3 ­2 ­1
5
4
3
2
1
10
15
20
25
8
6
4
2
12 9 6 3
16 12 8 4
20 15 10 5
­1 ­2 ­3 ­4 ­5
­2 ­4 ­6 ­8 ­10
­3 ­6 ­9 ­12 ­15
­4 ­8 ­12 ­16 ­20
­5 ­10 ­15 ­20­25
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8. Module 2 Lesson 11.notebook
November 18, 2013
We have used the Integer Game to explain that adding a number multiple times has the same effect as
x
removing the opposite value the same number of times. What is (­1) (­1) ?
Why are 1 and ­1 called additive inverses? Write an equation that shows this property.
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9. Module 2 Lesson 11.notebook
November 18, 2013
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10. Module 2 Lesson 11.notebook
November 18, 2013
1.) A submarine is diving from the surface of the water at a
rate of 90 feet per minute. What is the depth after 7
minutes?
2.) If I own 100 shares of Apple stock and the price drops
by $3 per share, what is the change in my investment?
Write an expression.
3.) -4(3) =
4.) -5(-7) =
5.) 7(-3) =
6.) -9(-5) =
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11. Module 2 Lesson 11.notebook
November 18, 2013
CLOSING:
• How do we determine if the product of two signed numbers will be
positive or negative?
• Why does the product of two negative values result in a positive
value? Explain using the Integer Game.
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12. Module 2 Lesson 11.notebook
November 18, 2013
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