2. 3 + (-5) = -2 3 + (-5)=-2 -6 -5 -4 -3 -2 01 2 3 4 56

3. What models can be used to show addition and subtraction of positive and negative rational numbers?

4. Objective: Students will model adding integers using a number line and the positive/negative charge model.

5. Vocabulary Opposite Numbers – numbers that are the same distance from zero in the opposite direction

6. Click to Watch Video

7. Vocabulary Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero. -7 opposite 7

8. Vocabulary Zero Pairs: A pair of numbers whose sum is zero Math Minute

9. 3 + 6 = 9 Adding Integers We can use positive & negative charges to help us add integers.

10. 3 + (- 4) = - 1 Adding Integers

11. (-3 )+ 4 = 1 Adding Integers

12. -5 +-2 = -7 Adding Integers

13. Click the Work Mat to begin practicing adding integers.

14. Graphic Organizer

15. Subtraction There is just 1 Simple Rule for subtracting integers. Add the Opposite! (Keep-change-change) animation

16. 5 - 2 = 3 5 + -2 = 3 Subtracting Integers KeepChangeChange

17. 2 - 5 = -3 2 + -5 = -3 Subtracting Integers Change to Addition

18. Click the Work Mat to begin practicing adding & subtracting integers.

19. Time to watch TV…. Click the TV to Watch the Video

20. Adding integers We can use a number line to help us add positive and negative integers. –2 + 5 = -23 = 3 1.Start at zero 2.Go to first number 3.Move in the direction and distance of the second number Example 1:

21. Example 2: –3 + –4 = = –7 -3-7 Adding integers 1.Start at zero 2.Go to first number 3.Move in the direction and distance of the second number

22. 5-3 Subtracting integers We can use a number line to help us subtract positive and negative integers. 5 – 8 == –35 + (-8) == –3 Example: 1 5 – 8 5 + (- 8) is the same as

23. 3 – –6 = 39 = 9 Example: 2 3 – –6is the same as3 + 6 Subtracting integers 3 + 6 == 9

24. 1. -6 + 3 = a. 3 b. -3 c. 8 d. -8

25. Great Job! Continue

26. Sorry, Try Again Integer Song Return to Practice

27. a. 1 b. -1 c. 7 d. -7

28. Great Job! Continue

29. Sorry, Try Again Integer Song Return to Practice

30. a. 5 b. -5 c. 11 d. -11

31. Great Job! Continue

32. Sorry, Try Again Integer Song Return to Practice

33. Subtracting Integers

34. keep, change, change Graphic Organizer If the problem is subtraction, change subtraction to adding the opposite and then follow the addition rule. Practice

36. a. 12 + 3 12 + 3 b. -12 + 3 -12 + 3 c. -12 - 3 -12 - 3 d. 12 - 3 12 - 3

37. Great Job! Continue

38. Sorry, Try Again Hint Return to Practice

39. keep, change, change Graphic Organizer If the problem is subtraction, change subtraction to adding the opposite and then follow the addition rule. Practice

40. Return to Hint Practice

41. 2 – 10 = a. 2 + 102 + 10 b. 2 + (- 10)2 + (- 10) c. (-2) + 10(-2) + 10

42. Great Job! Continue

43. Sorry, Try Again Hint Return to Practice

44. keep, change, change Graphic Organizer If the problem is subtraction, change subtraction to adding the opposite and then follow the addition rule. Practice

45. Return to Hint Practice

46. a. -9 -9 b. -5 -5 c. 5 5 d. 9 9

47. Great Job! Integer Interactive Games Integer Interactive Games

48. keep, change, change Graphic Organizer If the problem is subtraction, change subtraction to adding the opposite and then follow the addition rule. Practice

49. Return to Hint Practice

50. Integer Interactive