1. Introducing Integers Copyright 2015 Scott Storla

2. If all we have are the whole numbers, {0,1,2,3…}, we can find this difference 5 – 2 = 3 but we can’t find this difference 2 – 5 = ? To find the difference 2 – 5 we need to expand our set of numbers.

3. Copyright 2015 Scott Storla The Integers

4. Positive Money we have Yards gained Degrees above 0 Floors above ground Above sea level Negative Money we owe Yards lost Degrees below 0 Floors below ground Below sea level Copyright 2015 Scott Storla

5. The Integers

6. Introducing Integers Copyright 2015 Scott Storla

7. Absolute Value Copyright 2015 Scott Storla

8. Positive Money we have Yards gained Degrees above 0 Floors above ground Above sea level Negative Money we owe Yards lost Degrees below 0 Floors below ground Below sea level Copyright 2015 Scott Storla

9. Integers have two attributes, a “size” (how much, how many) and a sign (positive or negative). For instance $2 has a size of 2 and it’s positive, we have $2. – $2 also has a size of 2 and it’s negative, we owe $2. To discuss the size of a number we use the absolute value operator. Copyright 2015 Scott Storla

10. Absolute value is both an operator and an implicit grouping symbol. Copyright 2015 Scott Storla Absolute Value

11. Operations and Operators Copyright 2015 Scott Storla

12. Count the number of operators, discuss the order of the operations and then simplify.

13. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

14. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

15. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

16. Absolute Value Copyright 2015 Scott Storla

17. Multiplying and Dividing Integers Copyright 2015 Scott Storla

20. Count the number of operators, discuss the order of the operations and then simplify.

21. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

22. Copyright Scott Storla 2015 Count the number of operators, discuss the order of the operations and then simplify.

23. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

24. Multiplying and Dividing Integers Copyright 2015 Scott Storla

25. Adding Integers With Similar Signs Copyright 2015 Scott Storla

26. Simplify

27. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

28. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

29. Copyright Scott Storla 2015 Count the number of operators, discuss the order of the operations and then simplify.

30. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

31. Adding Integers With Similar Signs Copyright 2015 Scott Storla

32. Adding Integers With Different Signs Copyright 2015 Scott Storla

34. Simplify

35. Copyright Scott Storla 2015 Count the number of operators, discuss the order of the operations and then simplify.

36. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

37. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

38. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

39. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

40. Adding Integers With Different Signs Copyright 2015 Scott Storla

41. Subtracting Integers Copyright 2015 Scott Storla

42. Introducing the Procedure Copyright 2015 Scott Storla

45. Simplify

46. Copyright 2015 Scott Storla Simplify

47. Copyright 2015 Scott Storla Simplify

48. Introducing the Procedure Copyright 2015 Scott Storla

49. Continuing With the Procedure Copyright 2015 Scott Storla

50. Count the number of operators, discuss the order of the operations and then simplify.

51. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

52. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

53. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

54. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

55. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

56. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

57. Continuing With the Procedure Copyright 2015 Scott Storla

58. Problems With a Factor of -1 Copyright 2015 Scott Storla

59. Simplify

60. Copyright 2015 Scott Storla Simplify

61. Copyright Scott Storla 2015 Count the number of operators, discuss the order of the operations and then simplify.

62. Copyright 2015 Scott Storla Simplify

63. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

64. Copyright 2015 Scott Storla Count the number of operators, discuss the order of the operations and then simplify.

65. Problems With a Factor of -1 Copyright 2015 Scott Storla

66. See introductory algebra resources Copyright 2015 Scott Storla

67. Fill in each blank with the appropriate property

68. Copyright 2015 Scott Storla Fill in each blank with the appropriate property

69. Copyright 2015 Scott Storla Fill in each blank with the appropriate property

70. Copyright 2015 Scott Storla Fill in each blank with the appropriate property

71. Integer Automaticity Quiz Copyright 2015 Scott Storla

72. Simplify Copyright 2015 Scott Storla Answers

73. Simplify Copyright 2015 Scott Storla Answers

74. What’s the sign of the result? Copyright 2015 Scott Storla

75. What’s the sign of the result? Copyright 2015 Scott Storla

76. What’s the sign of the result? Copyright 2015 Scott Storla

77. What’s the sign of the result? Copyright 2015 Scott Storla

78. What’s the sign of the result? Copyright 2015 Scott Storla

79. What’s the sign of the result? Copyright 2015 Scott Storla

80. What’s the sign of the result? Copyright 2015 Scott Storla

81. What’s the sign of the result? Copyright 2015 Scott Storla

82. Simplify