Learning Target:

1. Learning Target: I can… Solve problems involving integers and absolute value

2. Definition Integers: the set of positive whole numbers, their opposites, and zero (…-3, -2, -1, 0, 1, 2, 3…) Real life example: If it is 10 degrees below zero, it is -10° 20 Feet below sea level = -20

3. Representing Integers • Gain of 5 yards • Loss of 6 yards • A profit of $18 • A decrease of 14 cents

4. Use your number line to help you! -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 Positive Integers Negative Integers

5. Examples • Put the following integers in order from least to greatest: -4, 8, -2, -6, 3 -6, -4, -2, 3, 8 • Put the following integers in order from greatest to least: -2, 0, 7, -1, -5 -5, -2, -1, 0, 7

6. Comparing Integers Fill in the blank with greater than (>) or less than (<). • -10 4 • 3 -9 • -15 -20 • -1 0 • -2 -4

7. OAA Practice The table below shows the low temperatures of four cities on one winter night. Low Temperatures of Four Cities One Night Which city had the lowest temperature that night?

9. Review - Practice 1. Put the following numbers in order: -2, 3, 0, 6, -5 2. Fill in the correct sign for the following: (>, <, or =) 3 -4 -1 1 0 -3

10. Brainpop

11. Review – Least to Greatest -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 Positive Integers Negative Integers • -6, 4, -12, 0, 5 • -3, 1, 9, -2, -8

12. Absolute Value: The distance of a number to zero Example: │6│ = 6 │-6│ = 6 Absolute value is always positive!

13. You try it!

14. Find the absolute values! │-9│ = │10│=

15. Quick Check Compare the numbers │-9│ │5│ a. ≥ b. < c. > d. =

16. Compare the numbers │18│ │-19│ a. ≥ b. < c. > d. =

17. Absolute Values: Evaluating Expressions 1) |18| ÷ 2 × |–3| = ______

18. 2) |–3| + 10 = ______

19. 3) (12 + |–8|) ÷ |–5 | = ______

20. 4) |–16| – |–16| = ______

21. Ordering with Absolute Value When you order integers, make sure you put the number back in its ORIGINAL form when put into order. • -2, │-3│, 0, │-4│, -5 • │-7│, -3, │-3│, -9, -1

22. Adding

25. Exit Question Fill in the blanks with >, <, or = • 6 │-6│ • │-5│ 4 • │3│ 2 • │-3│ │2 + 1│

26. Learning Target: I can… Solve problems involving integers and absolute value

27. Homework? • Summer Assignment? • Parent Signature? • Team Points… • Dividers: 1. Notes 2. HW/CW 3. Weekly Reviews 4. Quizzes 5. Tests

28. Absolute Value Review Definition? The distance of a number to zero │2│ = │-2 │ = -│-2 │ = -│2 │ =

29. Clicker Practice 1) │13│+ │-5│ =

30. 2) -│-5│ =

31. 3) │2│ + │-2│ =

32. 4) -│10│ + │10│ =

33. Additive Inverse What you add to a number to get zero. Examples: -5 + ____ = 0 13 + ____ = 0 12 + (-12) = ____

34. 1) -7 + _____ = 0 2) 15 + ______ = 0 3) _____ + (-5) = 0 4) 13 + (-13) = _____

35. Real Life Examples Opposites combine to make zero Example 1: A deposit of $50 combined with a ____________ of $_____ Example 2: A gain of 5 yards after a ________ of ______ yards.

36. Clicker Word Problems 1) Which statement best describes a situation in which opposite quantities combine to make zero? • Shawna made 8 cups of soup and divided the soup into 8 containers. • Melanie deposited $10 in her savings account and then withdrew $10 from the account. • Peter scored 2 goals in the first period of a hockey game and 2 goals in the second period. • Marcos missed 4 questions on a test in which each question was worth 4 points.

37. 2) Which statement best describes a situation in which opposite quantities combine to make zero? • Angie had 100 sheets of paper and divided them evenly into 5 folders. • Mandy deposited $200 in her savings account and then added $200 her following pay period. • Paul and Josie are on a team together. Paul scored 5 points on his turn and Josie lost 5 points on her turn. • Mario bought 2 sodas, which cost $2 each.

38. 3) Steve was golfing at Quail Hollow Resort. After the first nine holes, Steve was 3 under par. After the back nine, he had a score that was even to par. How many over par was he on the back nine? • -3 • 3 • 0 • 6

39. Monica budgeted $235 for “back to school” stuff. She went school shopping with her mom and spent $130 on clothes and $105 on supplies. Is this an example of the additive inverse? A. Yes B. No

41. http://nlvm.usu.edu/

42. https://www.youtube.com/watch?v=31Q2_ETqxzc

43. Learning Target: I can… Add integers using counters and number lines

44. Any Number Plus Its Opposite Equals? ZERO! This is called the ADDITIVE INVERSE!

45. Real Life Additive Inverses For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. (a single positively charged proton and a single negatively charged electron)

46. Using A Number Line Step 1: Plot your __________________________ number. Step 2: If adding a positive number, move _________________. If adding a negative number, move __________________. Step 3: Record your answer.

47. 1) 2 + (-4) =

48. 2) -1 + (-2) =

49. 3) -7 + 5 =

50. 4) -3 + 4 + (-9) =