Math 76

Math 76

4th Edition

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Course Content

Lessons Status
1

Introduction: Prerequisites for the Course – How to Use the Math Book – Expectations of Students

2

Lesson 1: Adding & Subtracting Numbers – Working with Money – Facts about Adding & Subtracting – Inverse Operations

3

Lesson 2: Multiplying & Dividing Numbers – Working with Money – Facts About Multiplying & Dividing – Inverse Operations

4

Lesson 3: Solving for the Missing Number(s) in Addition and Subtraction Problems

5

Lesson 4: Solving for the Missing Number(s) in Multiplication and Division Problems

6

Lesson 5: Correct Usage of the Order of Operations in Mathematics (Part I)

7

Lesson 6: Determining Fractional Pieces of an Object

8

Lesson 7: Defining a Line, a Segment, & a Ray – Linear Measurement using the U.S. Customary System & the Metric System

9

Lesson 8: Definition of the Perimeter of an Object

10

Lesson 9: Review of the Number Line – How to Order and Compare Numbers – Using “Greater Than” and “Less Than” Symbols

11

Lesson 10: Defining Types of Sequences – Definition of a Numerical Scale

12

Investigation 1: What is a Frequency Table? – Review of Histograms – Collecting Data for Surveys

13

Lesson 11: Word Problems About Addition (Combining) & Subtraction (Separating) Patterns

14

Lesson 12: Defining Place Values Through “Trillions” – Word Problems Using More than One Mathematical Operation

15

Lesson 13: Word Problems Involving “Comparison” – Word Problems Involving Calculation of Elapsed Time (Part I)

16

Lesson 14: Working with Negative Numbers on the Number Line

17

Lesson 15: Recognizing and Solving “Equal Group” Word Problems

18

Lesson 16: Learning Rules for Rounding & Estimating Whole Numbers

19

Lesson 17: Working with Fractions and Mixed Numbers on the Number Line

20

Lesson 18: Calculating the “Average” – Using Line Graphs to Display Numerical Data

21

Lesson 19: Another Definition of Factor – Defining Prime Numbers

22

Lesson 20: Defining and Finding the Greatest Common Factor (GCF)

23

Investigation 2: Using Manipulatives to Investigate Fractions

24

Lesson 21: Understanding Tests for Divisibility

25

Lesson 22: Word Problems Involving Equal Groups as Fractions

26

Lesson 23: Defining and Working with Ratios

27

Lesson 24: Addition and Subtraction of Fractions that Have Common Denominators

28

Lesson 25: Dividing & Writing the Remainder as a Fraction – then – Writing the Answer as a Mixed Number – Multiples of a Number

29

Lesson 26: Reducing Fractions Using Manipulatives – Addition and Subtraction of Mixed Numbers

30

Lesson 27: Defining and Working with the Various Measurements of a Circle

31

Lesson 28: Definition of Angles in a Mathematical Plane

32

Lesson 29: Multiplying and Reducing Fractions – Defining the Term “Of” in Mathematics

33

Lesson 30: Defining and Finding the Least Common Multiple (LCM) – Working with Reciprocals

34

Investigation 3: Using a Protractor to Measure Angles

35

Lesson 31: Calculating the Area of a Rectangle

36

Lesson 32: Defining what Expanded Notation Is – Calculating Elapsed Time (Part II)

37

Lesson 33: Converting Percents to Fractions (Part I)

38

Lesson 34: Establishing Place Values for Decimals to the Millionths

39

Lesson 35: Converting Decimal Numbers to Fractions (Part I) – How to Read & Write Decimal Numbers

40

Lesson 36: How to Subtract Fractions and Mixed Numbers from Whole Numbers

41

Lesson 37: How to Add and Subtract Decimal Numbers

42

Lesson 38: Combining Whole Numbers & Decimal Numbers in Addition & Subtraction

43

Lesson 39: How to Multiply Decimal Numbers

44

Lesson 40: Correct Use of Zeroes when Performing Operations with Decimal Numbers – Working with Pie Charts

45

Investigation 4: Working with Collecting Data – Reviewing and Working with Different Kinds of Surveys

46

Lesson 41: How to Find a Part Of or Percent Of a Number

47

Lesson 42: How to Rename a Fraction by Multiplying It by “1”

48

Lesson 43: Defining & Working with Equivalent Division Problems – Solving Equations Containing Fractions & Decimals that Also Contain an Unknown

49

Lesson 44: Simplifying and Comparing Decimal Numbers

50

Lesson 45: How to Divide Decimal Numbers by Whole Numbers

51

Lesson 46: Using Expanded Notation with Decimal Numbers – Converting Decimals by Multiplying Them by 10s and 100s

52

Lesson 47: Definition of a Circumference – How “Pi” Fits into the Circumference of a Circle – Using 3.14 to Approximate “Pi”

53

Lesson 48: Subtracting Mixed Numbers by Changing or Regrouping Fractions (Part I)

54

Lesson 49: Division Involving Decimals and Their Conversion to Equivalent Fractions or Whole Numbers

55

Lesson 50: Constructing and Using a Number Line Reflecting Tenths – Working with How to Divide by a Fraction

56

Investigation 5: Working with the Display of Data in Various Graphic Forms

57

Lesson 51: Learning How to Round Decimal Numbers

58

Lesson 52: Learning How to Mentally Shift the Digits in a Decimal Number when Multiplying by 10 or 100

59

Lesson 53: Creating a Decimal Chart Summarizing the 4 Rules for Decimals – How to Simplify Fractions

60

Lesson 54: Reducing Fractions by Cancellation or Re-Grouping Using Factors of 1 – How to Divide Fractions

61

Lesson 55: Defining and Using Common Denominators (Part I)

62

Lesson 56: More Work Using Common Denominators (Part II)

63

Lesson 57: The Three Steps to Successfully Subtracting Fractions

64

Lesson 58: Learning the Difference Between Probability and Chance – How To Calculate Probability and Chance

65

Lesson 59: The Three Steps to Correctly Adding Mixed Numbers

66

Lesson 60: Defining Polygons – Describing 5 Common Polygons

67

Investigation 6: Being Able to Recognize, Name, and Draw Some Common Three-Dimensional Geometric Solids

68

Lesson 61: Adding More than Two Fractions Using a Common Denominator

69

Lesson 62: How to Convert Mixed Numbers to a Form of Improper Fractions

70

Lesson 63: Subtracting Mixed Numbers by Changing or Regrouping fractions (Part II)

71

Lesson 64: How We Classify Quadrilaterals

72

Lesson 65: Factoring Using Prime Numbers – Dividing by Prime Numbers – Building a “Factor Tree”

73

Lesson 66: Three Steps to Multiplying Mixed Numbers

74

Lesson 67: How to Reduce Fractions Using Prime Factoring

75

Lesson 68: Understanding How to Divide Mixed Numbers

76

Lesson 69: Determining Lengths of Line Segments – Definition of Complementary and Supplementary Angles

77

Lesson 70: Before Multiplying Fractions, Check to See If They Can First Be Reduced

78

Investigation 7: Defining a Coordinate Plane – Explaining Its Terminology and Showing Us How to Use It

79

Lesson 71: The Various Properties of Parallelograms – How to Compute the Area of a Parallelogram

80

Lesson 72: Multiplying More than Two Fractions Using a Common Denominator – The S.O.S. of a Fraction Chart

81

Lesson 73: The Correct Way to Read or Describe Exponents – Converting Decimal Numbers to Fractions (Part II)

82

Lesson 74: How to Correctly Write Fractions as Decimal Numbers

83

Lesson 75: How to Correctly Write Fractions & Decimals as Percents (Part I)

84

Lesson 76: Converting Fractions to Decimals in Order to Compare Them

85

Lesson 77: Finding the “Unstated” in Word Problems Involving Fractions

86

Lesson 78: Calculating “Capacity” Using both The U.S. Customary System and the Metric System

87

Lesson 79: How to Calculate the Area of a Triangle

88

Lesson 80: Solving Ratio Problems Using a Scale Factor

89

Investigation 8: Using a Compass and a Straight Edge to Bisect a Segment or Angle

90

Lesson 81: Working with Arithmetic Operations Using Like Units of Measure

91

Lesson 82: Finding the Volume of a Rectangular Prism

92

Lesson 83: Definition of a Proportion – Working with Word Problems Involving Proportions.

93

Lesson 84: Correct Usage of the Order of Operations in Mathematics (Part II)

94

Lesson 85: Solving Proportions using Cross-Multiplication of Fractions

95

Lesson 86: Estimating and Calculating the Area of a Circle

96

Lesson 87: Solving an Equation for the Missing or Unknown Factor

97

Lesson 88: Solving a Ratio Word Problem by Using Proportions

98

Lesson 89: How to Estimate Square Roots if You Do Not Have a Calculator

99

Lesson 90: Measuring “Turns” by Using Degrees

100

Investigation 9: Working with Experimental Probability

101

Lesson 91: Reviewing Geometric Formulas for Several Common Geometric Figures

102

Lesson 92: Working with Expanded Notation & Order of Operations with Exponents – Correct Use of Powers with Fractions

103

Lesson 93: How Mathematicians Classify Triangles

104

Lesson 94: Converting Decimals and Fractions to Percent’s (Part II)

105

Lesson 95: Cancel Units Before Multiplying Them

106

Lesson 96: Definition of a Function – How to Graph a Function

107

Lesson 97: What is a Transversal and What Does It Do?

108

Lesson 98: Study of Angle Measurements in Triangles and Quadrilaterals

109

Lesson 99: Converting Fractions to Decimals and Percent Equivalents

110

Lesson 100: How to Algebraically Add Integers

111

Investigation 10: Experiments Whose Outcomes are Determined by Chance Are Called Compound Experiments

112

Lesson 101: Working with Ratio Word Problems That Use the Total as Part of the Calculation

113

Lesson 102: Explaining the Difference Between & Calculating Mass & Weight

114

Lesson 103: Calculating the Perimeters of Complex or Odd Shaped Objects

115

Lesson 104: Another Way to Work with Algebraic Addition

116

Lesson 105: Solving Percent Word Problems by Using Proportions

117

Lesson 106: Solving Equations Involving More than One Operation

118

Lesson 107: Calculating the Areas of Complex or Odd Shaped Objects

119

Lesson 108: What Are Geometric Transformations?

120

Lesson 109: Working with Corresponding Parts of Congruent & Similar Triangles

121

Lesson 110: What Makes a Figure Symmetrical?

122

Investigation 11: Definition and Application of Scale Drawings & Scale Models

123

Lesson 111: Working with Word Problems, Whose Answers Require Using Division

124

Lesson 112: How to Algebraically Multiply and Divide Integers

125

Lesson 113: Adding & Subtracting Measurements with Multiple Units of Measure – How to Multiply by Powers of 10

126

Lesson 114: Defining and Using Unit Multipliers

127

Lesson 115: Converting Percents to Fractions (Part II)

128

Lesson 116: What Is, and How Do You Calculate, Compound Interest?

129

Lesson 117: Word Problems that Require Finding a “Total” or “Whole” when a Fraction is Given or Known

130

Lesson 118: Using a Grid to Estimate Irregular Shapes

131

Lesson 119: Word Problems that Require Finding a “Total” or “Whole” when a Percent is Given or Known

132

Lesson 120: Finding the Volume of a Cylinder

133

Investigation 12: Constructing Models of Four of the Platonic Solids

134

Topic A: A Review Lesson on Roman Numerals