2. WELCOME TO … Ms. Herzog’s Integers Lesson!

3. What is an integer??? Any whole number. It can be positive or negative. ANSWER Adding Integers! Examples: 2, -5, 245, 0, 9, -1,399

4. How do we add positive and negative integers? Think in terms of number chips Example: We can think of 4 as four positive chips +4

5. How do we add positive and negative integers? Think in terms of number chips Another example: We can think of -3 as three negative chips -3

6. How do we add positive and negative integers? Think in terms of number chips Another example: We can think of -8 as eight negative chips -8

7. How do we add positive and negative integers? Think in terms of number chips Another example: We can think of 6 as six positive chips +6

8. Let’s do an example! Use number chips! 4 + 7 ANSWER 11 +4 +7

9. Let’s do an example! Use number chips! -2 + 5 ANSWER 3 One negative chip and one positive chip cancel! +5 -2

10. Let’s do an example! Use number chips! 3 + (-5) ANSWER -2 One negative chip and one positive chip cancel! +3 -5

11. Let’s do an example! Use number chips! -8 + 5 ANSWER -3 One negative chip and one positive chip cancel! -8 +5

12. Let’s do an example! Use number chips! -3 + (-5) ANSWER -8 There are no chips to cancel! -5 -3

13. -3 + (-8) -11 ANSWER Number Chips! -3 -8

14. 4 + (-5) -1 ANSWER Number Chips! +4 -5

15. -3 + 9 6 ANSWER Number Chips! -3 +9

17. Homework: Adding Integers Handout 1-15 Homework Math Procedures Herzog Lesson 14a

19. Let’s Continue… Ms. Herzog’s Integers Lesson!

22. Do the numbers have the same sign? Yes Add the numbers together No Subtract the smaller number from the larger number Is the positive or negative number larger? Answer = What sign? + is larger Final answer is positive - is larger Final answer is negative

23. If the Beginning Signs are… Then the Calculation we do is… The End Sign of our answer is… Same Add Same Different Subtract The sign of the Larger number

32. Homework: Adding Integers Handout 1-15 Homework Math Procedures Herzog Lesson 14b Tuesday October 6, 2009

34. Subtracting Integers Lesson!

35. Subtracting Integers Let’s start with signs What is the sign on: 17 Positive

36. Subtracting Integers Let’s start with signs What is the sign on: -68 Negative

37. Subtracting Integers Let’s start with signs What is the sign on: 5 Positive

38. Subtracting Integers Let’s start with signs What is the sign on: -22 Negative

39. Subtracting Integers Now let’s work on opposites What is the opposite of: 12 -12

40. Subtracting Integers Now let’s work on opposites What is the opposite of: -45 45

41. Subtracting Integers Now let’s work on opposites What is the opposite of: -9 9

42. Subtracting Integers To subtract integers: Add the opposite of 11 9 - 11 9 + (-11) Evaluate using integer addition 9 + (-11) = -2

43. Subtracting Integers To subtract integers: Add the opposite of 8 -6 - 8 -6 + (-8) Evaluate using integer addition -6 + (-8) = -14

44. Subtracting Integers To subtract integers: Add the opposite of -9 -9 – (-9) -9 + (9) Evaluate using integer addition -9 + (9) = 0

45. Subtracting Integers To subtract integers: Add the opposite of -1 5 – (-1) 5 + (1) Evaluate using integer addition 5 + (1) = 6

46. Subtracting Integers To subtract integers: Add the opposite of 10 -4 – (10) -4 + (-10) Evaluate using integer addition -4 + (-10) = -14

47. Subtracting Integers To subtract integers: Add the opposite of -8 2 – -8 2 + 8 Evaluate using integer addition 2 + 8 = 10

48. Subtracting Integers To subtract integers: Add the opposite of -5 -3 – (-5) -3 + 5 Evaluate using integer addition -3 + 5 = 2

49. Subtracting Integers To subtract integers: Add the opposite of 21 12 – 21 12 + (-21) Evaluate using integer addition 12 + (-21) = -9

50. Subtracting Integers To subtract integers: Add the opposite of 5 and 2 -3 – 5 – 2 -3 + (-5) + (-2) Evaluate using integer addition = 10