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# Module 2 lesson 11

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### Module 2 lesson 11

1. 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 1
2. 2. Module 2 Lesson 11.notebook November 18, 2013 2
3. 3. Module 2 Lesson 11.notebook November 18, 2013 Problem Set 10 Answer Key 3
4. 4. Module 2 Lesson 11.notebook November 18, 2013 Problem Set 10 Answer Key 4
5. 5. Module 2 Lesson 11.notebook November 18, 2013 5
6. 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 6
7. 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 7
8. 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. 8
9. 9. Module 2 Lesson 11.notebook November 18, 2013 9
10. 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) = 10
11. 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. 11
12. 12. Module 2 Lesson 11.notebook November 18, 2013 12