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Understanding Subtraction of Integers and Other Rational Numbers

Understanding Subtraction of Integers and Other Rational Numbers. Get into groups of 3-4 The integer game will be different today Rules: You will start with 4 cards You may discard one of them and get another You may discard again Closest to zero wins the round.

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Understanding Subtraction of Integers and Other Rational Numbers

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  1. Understanding Subtraction of Integers and Other Rational Numbers

  2. Get into groups of 3-4 • The integer game will be different today • Rules: • You will start with 4 cards • You may discard one of them and get another • You may discard again • Closest to zero wins the round

  3. 1. How did selecting positive value cards change the value of your hand? • 2. How did selecting negative value cards change the value of your hand? • 3. How did discarding positive value cards change the value of your hand? • 4. How did discarding negative value cards change the value of your hand? • 5. What operation reflects selecting a card? • 6. What operation reflects discarding or removing a card? • 7. Based on the game, can you make a prediction about what happens to the result when: • a. Subtracting a positive integer. • b. Subtracting a negative integer. • At the end of the lesson, the class will review your predictions

  4. Examples • -8 – 2 • 4 - - 2 • -5 - - 10

  5. Using the rule of subtraction, rewrite the following subtraction sentences as addition sentences and solve. Use the number line below if needed. • 1a. 8 − 2 • b. 4 − 9 • c. −3 − 7 • d. −9 − (−2)

  6. Find the differences. • 2a. −2 − (−5) • b. 11 − (−8) • c. −10 − (−4)

  7. Write two equivalent expressions that would represent, “An airplane flies at an altitude of 25,000 feet. and then decreases the altitude by 5,000 feet.”

  8. Review your predictions made earlier in class. Were you correct? If not, how were your predictions different • from the correct responses? • When playing the Integer Game, give two ways you can increase the value of your hand. • Give two ways you can decrease the value of your hand.

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