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Warm up

Warm up. Solve: Jim and Curt scored a total of 21 goals. Jim scored 5 more than three times as many as Curt. How many goals did Curt score? Choices for Curt’s goals are: 2,4,6. Lesson 1-8 Numbers on a Line & Lesson 1-9 Opposites & Absolute Value.

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Warm up

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  1. Warm up • Solve: Jim and Curt scored a total of 21 goals. Jim scored 5 more than three times as many as Curt. How many goals did Curt score? Choices for Curt’s goals are: 2,4,6

  2. Lesson 1-8 Numbers on a Line & Lesson 1-9 Opposites & Absolute Value Objective: 1. To graph real numbers on a number line and to compare real numbers. 2. To use opposites and absolute values.

  3. Number Line • Positive number – a number greater than zero. 0 1 2 3 4 5 6

  4. Number Line • Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

  5. Integers • Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

  6. Real Numbers • Every real number can be found on exactly one point on the number line.

  7. Opposites • Opposite Numbers – numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

  8. Absolute Value • Absolute Value – The distance a number is from zero without regard to direction. ∣ ∣ The absolute value of 9 or of –9 is 9. ∣-9∣= 9

  9. Examples • -10 ___ 0.1 > or < • ½ ___ ⅓

  10. Examples • -(3 + 5) = • -(- 3.5) = • ∣-4∣+∣7∣ = • ∣7 - 4∣ = • ∣x∣ = 88 • ∣y∣ = -6

  11. Try • – (12 – 12) = • – (–4) = • ∣2.6∣ + ∣-0.4∣ = • Translate into symbols: The absolute value of 6 is less than the absolute value of -20.

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