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Rules for Multiplying Signed Numbers

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Erik Tjersland

The document contains notes from a math lesson on multiplying integers: - It reviews rules for determining the sign of products and completes a table showing the results of multiplying integers from -5 to 5. - The table is divided into quadrants based on the signs of the integers, and patterns are noticed such as negatives in quadrants 2 and 4 and positives in 1 and 3. - Questions are asked about using the table to determine product signs and describing integer scenarios for each quadrant.

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Module 2 Lesson 11.notebook 1 November 17, 2014 11/17/14 Module 2, Lesson 11 HW: Multiplication of Integers Sheet and CRS 7 due tomorrow Multiplying Signed Numbers Exam #3 Tuesday 11/25 Do Now: Develop Rules for Exit Ticket For Lesson 10
Module 2 Lesson 11.notebook 2 November 17, 2014
Module 2 Lesson 11.notebook 3 November 17, 2014 Problem Set 10 Answer Key S.56
Module 2 Lesson 11.notebook 4 November 17, 2014 Problem Set 10 Answer Key
Module 2 Lesson 11.notebook 5 November 17, 2014 S.57
Module 2 Lesson 11.notebook 6 November 17, 2014 Part B: Complete quadrant 2 of the table. What relationships or patterns do you notice between the products (values) in quadrant two and the products (values) in quadrant 1? What relationships or patterns do you notice between the products (values) in quadrant two and the products (values) in quadrant four? a. 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. b. c. 5 10 15 20 25 4 8 12 16 20 3 6 9 12 15 2 4 8 10 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 ­2 ­4 ­6 ­8 ­10 ­3 ­6 ­9 ­12 ­15 ­4 ­8 ­12­16­20 ­5 ­10 ­15 ­20­25 ­5 ­4 ­3 ­2 ­1 ­5 ­4 ­3 ­2 ­1 ­10 ­8 ­6 ­4 ­2 ­15­12 ­9 ­6 ­3 ­20 ­16­12 ­8 ­4 ­25­20­15 ­10 ­5 S.58
Module 2 Lesson 11.notebook 7 November 17, 2014 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 is located? Explain. 5 10 15 20 25 4 8 12 16 20 3 6 9 12 15 ­25­20­15 ­10 ­20 ­15­12 ­8 ­9 ­6 ­5 ­4 ­3 ­16­12 g. Which quadrants contain which values? Describe an integer game scenario represented in each quadrant. 1 2 3 4 5 2 4 8 10 ­1 ­2 ­3 ­4 ­5 ­2 ­4 ­6 ­8 ­10 ­3 ­6 ­9 ­12 ­15 ­4 ­8 ­12­16­20 ­5 ­10 ­15 ­20­25 ­10 ­5 ­8 ­4 ­5 ­4 ­6 ­3 ­3 ­4 ­2 ­2 ­2 ­1 ­1 5 4 3 2 1 10 8 6 4 2 15 12 9 6 3 20 16 12 8 4 25 20 15 10 5 S.58
Module 2 Lesson 11.notebook 8 November 17, 2014 S.59
Module 2 Lesson 11.notebook 9 November 17, 2014 S.59
Module 2 Lesson 11.notebook November 17, 2014 10 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.
Module 2 Lesson 11.notebook November 17, 2014 11
Module 2 Lesson 11.notebook November 17, 2014 12 S.60
Module 2 Lesson 11.notebook November 17, 2014 13

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Rules for Multiplying Signed Numbers

  • 1. Module 2 Lesson 11.notebook 1 November 17, 2014 11/17/14 Module 2, Lesson 11 HW: Multiplication of Integers Sheet and CRS 7 due tomorrow Multiplying Signed Numbers Exam #3 Tuesday 11/25 Do Now: Develop Rules for Exit Ticket For Lesson 10
  • 2. Module 2 Lesson 11.notebook 2 November 17, 2014
  • 3. Module 2 Lesson 11.notebook 3 November 17, 2014 Problem Set 10 Answer Key S.56
  • 4. Module 2 Lesson 11.notebook 4 November 17, 2014 Problem Set 10 Answer Key
  • 5. Module 2 Lesson 11.notebook 5 November 17, 2014 S.57
  • 6. Module 2 Lesson 11.notebook 6 November 17, 2014 Part B: Complete quadrant 2 of the table. What relationships or patterns do you notice between the products (values) in quadrant two and the products (values) in quadrant 1? What relationships or patterns do you notice between the products (values) in quadrant two and the products (values) in quadrant four? a. 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. b. c. 5 10 15 20 25 4 8 12 16 20 3 6 9 12 15 2 4 8 10 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 ­2 ­4 ­6 ­8 ­10 ­3 ­6 ­9 ­12 ­15 ­4 ­8 ­12­16­20 ­5 ­10 ­15 ­20­25 ­5 ­4 ­3 ­2 ­1 ­5 ­4 ­3 ­2 ­1 ­10 ­8 ­6 ­4 ­2 ­15­12 ­9 ­6 ­3 ­20 ­16­12 ­8 ­4 ­25­20­15 ­10 ­5 S.58
  • 7. Module 2 Lesson 11.notebook 7 November 17, 2014 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 is located? Explain. 5 10 15 20 25 4 8 12 16 20 3 6 9 12 15 ­25­20­15 ­10 ­20 ­15­12 ­8 ­9 ­6 ­5 ­4 ­3 ­16­12 g. Which quadrants contain which values? Describe an integer game scenario represented in each quadrant. 1 2 3 4 5 2 4 8 10 ­1 ­2 ­3 ­4 ­5 ­2 ­4 ­6 ­8 ­10 ­3 ­6 ­9 ­12 ­15 ­4 ­8 ­12­16­20 ­5 ­10 ­15 ­20­25 ­10 ­5 ­8 ­4 ­5 ­4 ­6 ­3 ­3 ­4 ­2 ­2 ­2 ­1 ­1 5 4 3 2 1 10 8 6 4 2 15 12 9 6 3 20 16 12 8 4 25 20 15 10 5 S.58
  • 8. Module 2 Lesson 11.notebook 8 November 17, 2014 S.59
  • 9. Module 2 Lesson 11.notebook 9 November 17, 2014 S.59
  • 10. Module 2 Lesson 11.notebook November 17, 2014 10 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. Module 2 Lesson 11.notebook November 17, 2014 11
  • 12. Module 2 Lesson 11.notebook November 17, 2014 12 S.60
  • 13. Module 2 Lesson 11.notebook November 17, 2014 13