1. 5 Minute Check Write an integer for the following. Complete on your homework. 1. 17˚ below zero 2. Spending $25 Make a number line and graph the following. 3. -8 4. {0, -3, 1, -1}

2. 5 Minute Check Write an integer for the following. Complete on your homework. 1. 17˚ below zero

3. 5 Minute Check Write an integer for the following. Complete on your homework. 1. 17˚ below zero -17

4. 5 Minute Check Write an integer for the following. Complete on your homework. 2. Spending $25

5. 5 Minute Check Write an integer for the following. Complete on your homework. 2. Spending $25 -25

6. 5 Minute Check Complete on your homework. Make a number line and graph the following. 3. -8

7. 5 Minute Check Complete on your homework. Make a number line and graph the following. 3. -8

8. 5 Minute Check Complete on your homework. Make a number line and graph the following. 4. {0, -3, 1, -1}

9. 5 Minute Check Complete on your homework. Make a number line and graph the following. 4. {0, -3, 1, -1}

10. Flashcards

11. Essential Question A seagull is flying 20 feet above sea level. Dan is diving 15 feet below sea level. Set up and solve an expression using absolute values to represent the distance between Dan and the sea gull. How would you solve this problem?

12. Essential Question A seagull is flying 20 feet above sea level. Dan is diving 15 feet below sea level. Set up and solve an expression using absolute values to represent the distance between Dan and the sea gull.

13. Friday, Nov 13 Lesson 5.2 Absolute Value

14. Objective: To find the absolute value of an integer.

15. Absolute Value Objective: To find the absolute value of an integer.

16. Absolute Value Objective: To find the absolute value of an integer.

17. Absolute Value Opposites are numbers that are the same distance from zero in opposite directions on the number line.

18. Absolute Value Opposites are numbers that are the same distance from zero in opposite directions on the number line. The sum of a number and it’s opposite will always equal what?

19. Absolute Value Opposites are numbers that are the same distance from zero in opposite directions on the number line. The sum of a number and it’s opposite will always equal what? Zero

20. Absolute Value Two integers that are opposites are also called additive inverses. The Additive Inverse Property states that the sum of any number and its opposite will always be zero. 2 + (-2) = 0

21. Absolute Value What is the opposite of 4?

22. Absolute Value What is the opposite of 4? -4 is the opposite of 4

23. Absolute Value What is the opposite of -9?

24. Absolute Value What is the opposite of -9? 9 is the opposite of -9

25. Absolute Value What is the opposite of the opposite -14?

26. Absolute Value What is the opposite of the opposite -14? 14 is the opposite of -14, and -14 is the opposite of 14. So the opposite of the opposite of -14 is -14.

27. Absolute Value The absolute value is the distance a number is from zero on the number line. The absolute value will always be a positive number. InI = the absolute value of n.

28. Absolute Value Absolute values are mostly used when determining distance, since distance can never be a negative number.

29. Absolute Value I5I = 5 5 is 5 places from zero on the number line.

30. Absolute Value I-2I = 2 -2 is 2 places from zero on the number line.

31. Absolute Value I-7I = Do this on your own.

32. Absolute Value I-7I = 7

33. Absolute Value I8I = Do this on your own.

34. Absolute Value I8I = 8

35. Absolute Value I5I + I-6I = Do this on your own.

36. Absolute Value I5I + I-6I = 5 + 6 = 11 On the homework, rewrite the equation after solving the absolute value before performing the operation.

37. Absolute Value I-7I – I3I = Do this on your own.

38. Absolute Value I-7I – I3I = 7 - 3 = 4

39. Absolute Value I-9I + I3I = Do this on your own.

40. Absolute Value I-9I + I3I = 9 + 3 = 12

41. Absolute Value I-8I – I-2I = Do this on your own.

42. Absolute Value I-8I – I-2I = 8 - 2 = 6

43. Absolute Value I9-2I= Do this on your own.

44. Absolute Value I9-2I = I7I = 7 When the operation is inside the absolute value sign, perform the operation first, then determine the absolute value.

45. Absolute Value I15-6I = Do this on your own.

46. Absolute Value I15-6I = I9I = 9

47. Absolute Value A game show contestant lost 10 points. He answered another question incorrectly and lost another 10 points. Set up and solve an expression using absolute values to represent the total number of points he lost.

48. Absolute Value A game show contestant lost 10 points. He answered another question incorrectly and lost another 10 points. Set up and solve an expression using absolute values to represent the total number of points he lost. I-10I + I-10I = 10 + 10 = 20 points lost

49. Absolute Value Jayson spent $8 on a shirt. Then he spent $4 on socks. Set up and solve an expression using absolute values to represent the total amount he spent.

50. Absolute Value Jayson spent $8 on a shirt. Then he spent $4 on socks. Set up and solve an expression using absolute values to represent the total amount he spent. I-8I + I-4I = 8 + 4 = $12 spent

51. Absolute Value Lilly saw a jelly fish at 6 feet below sea level. She saw a bright blue fish at 10 feet below sea level. Set up and solve an expression using absolute values to the distance between the two fish.

52. Absolute Value Lilly saw a jelly fish at 6 feet below sea level. She saw a bright blue fish at 10 feet below sea level. Set up and solve an expression using absolute values to the distance between the two fish. I-10I - I-6I = 10 - 6 = 4 feet

53. Absolute Value At the football game last Friday in the first series, the first plays was a +6 yards, the second play was a -4 yards and the 3 rd play was a - 7 yards. Which play had the greatest absolute value?

54. Absolute Value At the football game last Friday in the first series, the first plays was a +6 yards, the second play was a -4 yards and the 3 rd play was a - 7 yards. Which play had the greatest absolute value? I6I = 6 I-4I = 4 I-7I = 7 The third play had the greatest absolute value.

55. Absolute Value At the football game last Friday in the first series, the first plays was a +6 yards, the second play was a -4 yards and the 3 rd play was a - 7 yards. Which play had the greatest absolute value? Where is the ball located in relation to the original line of scrimmage?

56. Absolute Value At the football game last Friday in the first series, the first plays was a +6 yards, the second play was a -4 yards and the 3 rd play was a - 7 yards. Which play had the greatest absolute value? Where is the ball located in relation to the original line of scrimmage? 5 yards behind the line of scrimmage.

57. Absolute Value At the football game last Friday in the first series, Identify the phrase that cannot be described by the same absolute value as the other three. Explain your reasoning. 18 ° below normal, the others have an absolute value of 8.

58. Absolute Value At the football game last Friday in the first series, Is the following statement always, sometimes or never true. If a and b are integers and a > b, then IaI > IbI.

59. Absolute Value At the football game last Friday in the first series, Is the following statement always, sometimes or never true. If a and b are integers and a > b, then IaI > IbI. Sometimes; if a = 4 and b = -6, the I4I < I-6I

60. Absolute Value At the football game last Friday in the first series, Why is the absolute value of a number never negative?

61. Absolute Value At the football game last Friday in the first series, Why is the absolute value of a number never negative? The absolute value represents a distance and a distance can never be negative.

62. Essential Question A seagull is flying 20 feet above sea level. Dan is diving 15 feet below sea level. Set up and solve an expression using absolute values to represent the distance between Dan and the sea gull.

63. Essential Question A seagull is flying 20 feet above sea level. Dan is diving 15 feet below sea level. Set up and solve an expression using absolute values to represent the distance between Dan and the sea gull. I20I + I-15I = 20 + 15 = 35 feet

64. Absolute Value Agenda Notes No Homework – Skills Practice 5.2 Due by the end of class Mid Chapter 5 Quiz Tuesday, Nov 17