1. Daily Agenda – Oct. 22 5-Minute Check Grade Ch 3 Check Your Readiness 3.1 notes / assignments Go over Ch 2 Test (retakes available until next Thursday) Ch 3 Assessments  3.1 – 3.3 – Quiz A  3.1 – 3.4 – Mid-Ch Test  3.4 – 3.7 – Quiz B

2. Ch 3 Addition and Subtraction Equations

3. 3.1 Rational Numbers

4. Rational Numbers –  All positive and negative fractions  All integers (because can be expressed as a fraction with 1 as the denominator)

5. Examples of Rational Numbers

6. Graphing on a number line Numbers increase as you move to the right and decrease as you move to the left

7. Inequality Inequality –  A mathematical sentence that uses to compare two expressions

8. Example Replace each☺ with or = to make a true sentence.  -1 - 3 / 5  -3(2)(0) 7 + (-8)  -1 -14.2  -5(0) 16 + (-16)

9. Cross Products Cross Products – Used to compare two fraction with different denominators Compare the products of the diagonal terms

10. Comparison Property for Rational Numbers

11. Examples Replace each with, or = to make a true sentence.

12. Examples Replace each with, or = to make a true sentence.

13. Example Write the following numbers in order from least to greatest.

14. Example Write the following numbers in order from least to greatest.

15. Unit Cost Unit Cost –  Cost per unit  Used to compare the costs of similar items

16. Example Latisha needs to buy snacks for her art club. A package of 12 granola bars costs $2.69 and a package of 18 granola bars costs $3.55. Which is the better buy? Explain.

17. Example Rolanda needs to buy colored pencils. The cost of a package of 12 pencils is $6.39. A package of 24 pencils costs $12.89. Which is the better buy? Explain.

18. Assignment 1 st Assignment – due today  P97: 4 – 16 2 nd Assignment – due next time  P98: 18 – 52

19. Daily Agenda – Oct. 26 5-Minute Check Grade assignment 3.2 notes / assignments

20. 3.2 Adding and Subtracting Rational Numbers

21. Rules Add and subtract rational numbers the same way you add and subtract integers If adding multiple numbers, use the commutative and associative properties

22. Example Find each sum

23. Example Find each sum

24. Example Find each sum

25. Example Suppose the water level in a pond was measured over a 4-year period. The level above or below average for this pond for each of the 4 years is given in the table. Find the net change in the water level of this pond.

26. Example Find the difference

27. Example Find the difference

28. Example Evaluate c – d if c = 5 1 / 6 and d = -3 5 / 8.

29. Example Evaluate x – y if x = 25.8 and y = -13.9.

30. Assignment 1 st Assignment – due today:  P102: 3 – 10 (no calculator to do, but can use one to check) 2 nd Assignment – due next time  P102: 11 – 33, 36 – 42

31. Daily Agenda – Oct. 28 5-Minute Check Grade Assignment 3.2 Wkst (no calculators) 3.3 notes / assignments

32. 3.3 Mean, Median, Mode, and Range

33. Measures of Central Tendency Numbers that represent the center, or middle, of the data  Mean  Median  Mode

34. Mean The mean, or average, of a set of data is the sum of the data divided by the number of pieces of data

35. Example Find the mean of the snack food data.

36. Median The median of a set of data is the middle number when the data in the set is arranged in numerical order

37. Example The stem-and-leaf plot shows the number of children enrolled in each of 9 gymnastics classes offered at a local recreation center.  Find the mean of the gymnastics data.  Find the median of the gymnastics data.

38. Example Find the median of each set of data. 4, 6, 12, 5, 8 10, 3, 17, 1, 8, 6, 12, 15

39. Mode The mode of a set is the number that occurs most often in the set. Can have 1, multiple, or none

40. Example Find the mode of the gymnastics data.

41. Example Find the mode of each set of data 7, 19, 9, 4, 7, 2 300, 34, 40, 50, 60

42. Looking over data For the gymnastics data: Mean: Median: Mode: Because the mean, median, and mode aren’t always the same value…

43. Measures of Variation Used to describe the distribution of the data. Range – The range of a set of data is the difference between the greatest and the least values of the set

44. Example Find the range of the gymnastics data.

45. Example Find the range of each set of data. 4, 6, 12, 5, 8

46. Example The table shows the test results of two different classes on the same test. How do the results for Class A compare to the results for Class B.

47. Types of Data Univariate –  Only one variable being measured Example: gender Categorical –  Can fit into categories Example: male and female Bivariate –  Two variables being measured Example: gender and age Measurement –  Values instead of categories Example: all ages

48. Example Someone is keeping track of the grade level of the students who come to the play.  Univariate or Bivariate?  Categorical or Measurement? Someone else is not only keeping track of the grade level of the students, but also the height.  Univariate or Bivariate?  Categorical or Measurement?

49. Assignment 1 st Assignment – due today:  P107: 2, 4 – 9 (no calculators, show ALL work), 10 – 15 2 nd Assignment – due next time:  P107: 16 – 29, 32 – 35, 37 – 42

50. Daily Agenda – Nov. 2 5-Minute Check Grade assignments Ch 3 Quiz A 3.4 notes / assignments

51. 3.4 Equations

52. Statement –  Any sentence that is either true or false, but not both

53. Equations Can use symbols to express mathematical statements

54. Equations Open Sentences –  A sentence with at least one variable  Not true or false until variable is replaced Replacement Set –  A set of numbers that can be used to replace a variable Solving –  Finding the number in the replacement set that makes a true sentence Solution –  The numbers from the replacement set that make a true statement

55. Example Find the solution of 13 = 33 + 4d if the replacement set is {-6, -5, -4, -3}.

56. Example Find the solution of if the replacement set is {0, 1, 2, 3}.

57. Example The temperature C, in degrees Celsius, that is equivalent to a temperature of F degrees Fahrenheit is given by. If the thermometer reads 25°C, what is the temperature in degrees Fahrenheit: 76°F, 77°F, 78°F, or 79°F?

58. Example Solve each equation.

59. Example Solve each equation

60. Assignment 1 st Assignment – due today:  P114: 2, 4 – 10 2 nd Assignment – due next time:  P114: 11 – 37, 41 – 47

61. Daily Agenda – Nov. 4 5-Minute Check Grade assignment Go over Quiz A Take Mid-Ch Test 3.6 notes / assignments

62. 3.6 Solving Addition and Subtraction Equations

63. Addition Property of Equality

64. Example

67. Subtraction Property of Equality

68. Example

69. Yoko was born in 1982 and her great- grandfather Hideo was born in 1917. Use the equation 1917 + n = 1982 to find the number of years between their births.

70. Assignment 1 st Assignment – due today  P125: 1, 3, 5 – 17 2 nd Assignment - due next time  P126: 18 – 40 even, 42, 45 – 51

71. Daily Agenda – Nov. 8 No 5-Minute Check Pass in P125: 1, 3, 5 – 29 Work on:  P126: 30 – 40, 42, 45 – 51 – due today  P696 (3-2): 1 – 14 – NO Calculator – due today  P697 (3-3): 2 – 8 even – due today  Solving Equation Wkst Pkt – due Wednesday! Can be on same paper SHOW ALL WORK!

72. Daily Agenda – Nov. 11 No 5-Minute Check Grade Assignments 3.7 notes / assignments

73. 3.7 Solving Equations Involving Absolute Values

74. Absolute Value Reminder Absolute value of a number is the distance a number is from zero  Distance is always positive!!!!

75. Example Solve |x – 3| = 5

76. Example Solve |d – 4| = 3

77. Example Solve |c – 4| = 2

78. Example Solve 6 = |5 + h|

79. Example Solve |a + 6| + 5 = 12

80. Example Solve |g + 3| - 2 = 6

81. Example Solve |m + 5| - 4 = 18

82. Example Solve 13 = |-8 + d| + 2

83. Empty Set Sometimes there are no replacement values for a variable |r| = -5 Empty Set – A solution set with no numbers in it Symbol: Ø

84. Example Solve |d| + 7 = 2

85. Example Solve |w| - 18 = -6

86. Example Solve |y + 5| - 2 = -7

87. Example In a survey, it was found that 78% of voters in a school district favored building a new high school. It is estimated that the actual number of voters that favor building the school differs from 78% by no more than 5%. Write and then solve an equation that could be used to find the least and greatest percentage of voters that favor building a new high school.

88. Assignment 1 st Assignment – due today!  P130: 1, 4 – 11 P130: 12 – 28 even, 30 – 34, 36 – 41

89. Daily Agenda – Dec. 10 Grade worksheet Where’s Waldo (60 minutes) Wkst

90. Daily Agenda – Dec. 12 Review Assignment  P132: 1 – 31, 40 - 57

91. Daily Agenda – Nov. 17 No 5-Minute Check Turn Waldo Wkst into InBox Grade 3.7 Wkst Review Assignment  P132: 1 – 31, 40 – 57  P135: 3 – 25 Quiz B Thursday: Ch 3 Test / Notebook due!!

92. Daily Agenda – Dec. 16 5 minutes to finish review and study for test Turn review into InBox Turn notebooks in on back table Ch 3 Test Poinsettia Worksheet Ch 4 Check Your Readiness  P139: 1 – 33

93. Daily Agenda – Dec. 18 Turn in Poinsettia worksheet Grade Check Your Readiness Go over Test Review for Final  Extra Practice (P692) Sections 1.1 – 2.6: by 3s Sections 3.1 – 3.7: by 5s