Algebra Half

Algebra ½

3rd 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: The Numbering System (Place Value; Expanded vs Standard Notation; Reading, Writing, & Adding Whole Numbers)

3

Lesson 2: Using the Number Line to Order Numbers – Rounding Whole Numbers

4

Lesson 3: Patterns in Addition and Subtraction – Terminology for Subtraction

5

Lesson 4: Multiplication and Division and Their Patterns

6

Lesson 5: Word Problems Requiring Addition or Subtraction

7

Lesson 6: Adding, Subtracting, Reading, Writing, and Rounding of Decimal Numbers

8

Lesson 7: Multiplying and Dividing Decimal Numbers – Estimating

9

Lesson 8: Multiplying and Dividing Using Powers of 10’s – Ordering Decimal Numbers by Their Values

10

Lesson 9: The Language of Geometry (Points, Lines, Rays, Line Segments, and Angles) – Defining Perimeter

11

Lesson 10: Rules for Divisibility and When to Use Them

12

Lesson 11: Word Problems Dealing with Groups of Things – Why No Remainder!

13

Lesson 12: Definition of Prime and Composite Numbers – Using Rules of Divisibility to Find the Product of Prime Numbers

14

Lesson 13: Finding the Common and Greatest Common Factors (Gcf) Word Problems Involving Multiplication

15

Lesson 14: Definition of A Fraction Expanding and Reducing Fractions

16

Lesson 15: Changing Fractions to Decimals and Decimals to Fractions – Repeating Decimals and How to Round Them

17

Lesson 16: Exponents Are Just Mathematical Counters

18

Lesson 17: Two Methods for Computing Areas of Rectangles

19

Lesson 18: Multiplying Whole Numbers and Fractions – Fractional Parts of Numbers – Defining Using “Of” When Multiplying

20

Lesson 19: Defining Multiplication Symbols – Multiplying and Dividing Fractions

21

Lesson 20: Defining Multiples and Least Common Multiple (LCM)

22

Lesson 21: Finding the Average or “Mean”

23

Lesson 22: Multiplying Three or More Fractions

24

Lesson 23: Converting Units of Length Using the US Standard Measuring System

25

Lesson 24: Converting Units of Length Using the Metric System

26

Lesson 25: Computing Areas of Rectangles by Using the Difference of Areas

27

Lesson 26: Computing the Range, Mode, Median, and Mean Word Problems Involving Computation of the Average or “Mean”

28

Lesson 27: The Formula for Finding Areas of Triangles

29

Lesson 28: Converting Decimals and Mixed Numbers – “Algebraic Fractions” – Definition of An “Improper” Fraction

30

Lesson 29: Using/Interpreting Graphs to Depict Data

31

Lesson 30: Adding and Subtracting Fractions both “With and Without Equal Denominators”

32

Lesson 31: Introduction to Mathematical Order of Operations

33

Lesson 32: Using Variables to Evaluate Mathematical Expressions

34

Lesson 33: Using Multiple Unit Multipliers by Converting Units of Area

35

Lesson 34: Adding Mixed Numbers – Using Fractions to Establish Rates and Ratios

36

Lesson 35: Subtracting Using Mixed Numbers

37

Lesson 36: Working with Rate Word Problems

38

Lesson 37: Solving Basic Equations

39

Lesson 38: Introduction to Rectangular Coordinates

40

Lesson 39: Rules for Adding and Subtracting in Equations

41

Lesson 40: Rules for Multiplying and Dividing in Equations – Proper Use of Reciprocals

42

Lesson 41: Finding the Overall Average of Multiple Averages

43

Lesson 42: Applying Rules for Using Symbols of Inclusion in Order of Operations

44

Lesson 43: Multiplying and Dividing Using Mixed Numbers

45

Lesson 44: Defining Roots – Applying Rules for Use of Exponents and Roots in Order of Operations

46

Lesson 45: Determining Volume for Right Geometric Solids

47

Lesson 46: Applying Order of Operations When Working with Fractions

48

Lesson 47: Evaluating Exponential Expressions and Radicals Using Substitution

49

Lesson 48: Word Problems Involving Fractional Parts of Numbers and Fractional Equations

50

Lesson 49: Computing Surface Area of Right Geometric Solids

51

Lesson 50: Introduction to Scientific Notation (10 X 10^3)

52

Lesson 51: Word Problems Involving Decimal Parts of Numbers and Decimal Equations

53

Lesson 52: Applying Symbols of Inclusion to Math Problems Containing Fractions

54

Lesson 53: Introduction to Computing Percent

55

Lesson 54: Using Ratios and Proportion – Evaluating Exponents and Radicals Using Substitution

56

Lesson 55: Converting Fractions, Decimals, and Percents – Applying Use of a Reference Set of Numbers

57

Lesson 56: Solving Equations Containing Mixed Numbers

58

Lesson 57: Solving Word Problem Equations Containing Mixed Numbers

59

Lesson 58: Introduction to Basic Distance Word Problems

60

Lesson 59: More Ratio and Proportion Problems Using Fractions

61

Lesson 60: Formulas for Working with Circles

62

Lesson 61: More Simple Equations

63

Lesson 62: Word Problems Using Fractions

64

Lesson 63: Calculating Changing Rates by Establishing an Initial Rate

65

Lesson 64: Formulas for Working with Semicircles

66

Lesson 65: Proportions of Mixed Numbers – Applying Proportions to Similar Triangles

67

Lesson 66: Word Problems Using Ratios and Proportions

68

Lesson 67: Using Ratios to Compare Different Sizes, Shapes, Weights, Etc.

69

Lesson 68: Word Problems Involving Percents Less Than 100

70

Lesson 69: Adding Signed Numbers by Using Their Absolute Values

71

Lesson 70: Rules Governing the Addition of Signed Numbers

72

Lesson 71: Applying the Rules for Powers and Roots to Fractions

73

Lesson 72: Graphing “Inequalities”

74

Lesson 73: Determining Formulas for Volumes of Right Circular Cylinders

75

Lesson 74: Using Parentheses with Signed Numbers

76

Lesson 75: Applying Advanced Techniques to Solve Word Problems Involving Ratios

77

Lesson 76: Using Scientific Notation to Multiply Large Numbers

78

Lesson 77: Word Problems Using Percents Greater Than 100

79

Lesson 78: Application of the “Double Negative”

80

Lesson 79: Simplifying Notations Using Multiple Parentheses or Brackets

81

Lesson 80: Word Problems Using “Increases” in Percentages

82

Lesson 81: Rules for the Multiplication and Division of Signed Numbers

83

Lesson 82: Evaluating Mathematical Expressions Containing Signed Numbers

84

Lesson 83: Word Problems Involving the Use of Proportions

85

Lesson 84: Using Negative Coefficients – Properties of Equality

86

Lesson 85: Equations of a Line – Procedures for Graphing a Straight Line

87

Lesson 86: The “Words of Mathematics” – Applying the Meaning of Certain Words to Solving Algebraic Equations

88

Lesson 87: The Properties of Algebra

89

Lesson 88: Finding the Surface Area of a Right Geometric Solid

90

Lesson 89: The Definition of “Trichotomy” and the Proper Use of Symbols of Negation

91

Lesson 90: The Meaning of Algebraic Phrases or Sentences

92

Lesson 91: Using Order of Operations and Symbols of Inclusion with Signed Numbers

93

Lesson 92: Estimating the Roots of Numbers (Neat Formula in Appendix E)

94

Lesson 93: Working with Symbols of Inclusion in Fractions with Extended Numerators & Denominators

95

Lesson 94: Introduction to Adding Like Terms – Definition of a “Term”

96

Lesson 95: Solving Equations with Variables on Both Sides

97

Lesson 96: Solving Equations with Multiple Terms

98

Lesson 97: Solving More Complicated Equations

99

Lesson 98: Defining Adjacent, Complementary, and Supplementary Angles – How to Measure Angles

100

Lesson 99: Using Exponents and Symbols of Inclusion with Both Positive and Negative Bases

101

Lesson 100: More Advanced Ratio Problems

102

Lesson 101: Multiplying Exponential Expressions Using Bases Containing Numbers or Variables

103

Lesson 102: Adding More Advanced Terms

104

Lesson 103: Use of the Distributive Property with Variables

105

Lesson 104: Classifying Triangles by Using Their Sides and Angles

106

Lesson 105: Evaluating the Powers of More Complicated Terms with Negative Bases

107

Lesson 106: Roots of Negative Numbers – Working with Negative Exponents – Effects of a Zero Exponent

108

Lesson 107: Using Roman Numerals – Why?

109

Lesson 108: Percentages as Fractions

110

Lesson 109: Calculating Simple and Compound Interest

111

Lesson 110: Understanding Markup and Markdown in the Business World

112

Lesson 111: Calculating Commission and Profit

113

Lesson 112: Introduction to Probability

114

Lesson 113: Using a Ruler Marked with Metric and US Measurements

115

Lesson 114: Probability with Dependent and Independent Events

116

Lesson 115: Definition and Description of Polygons – Congruence and Transformations

117

Lesson 116: Calculating Areas of Trapezoids and Parallelograms

118

Lesson 117: Pythagorean Theorem – Proof of the Pythagorean Theorem – Effects of X^2

119

Lesson 118: Volume Conversions Using US Measurements

120

Lesson 119: Volume Conversions Using Metric Measurements

121

Lesson 120: Calculating the Volume of Pyramids, Cones, and Spheres – Calculating the Surface Area of Pyramids and Cones

122

Lesson 121: Visualizing the Formation of Solids – Applying the Rules of Symmetry

123

Lesson 122: Introduction to Permutations

124

Lesson 123: The Subsets of Real Numbers – Difference Between Numbers and Numerals

125

APPENDIX A: Geometric Constructions

126

APPENDIX B: Using Stem and Leaf Plots

127

APPENDIX C: Understanding Base 2 in Comparison with Base 10

128

APPENDIX D: Working with Angles and Arcs

129

APPENDIX E: Formula for Approximating Roots

130

APPENDIX F: Polynomials

131

APPENDIX G: Using Transformational Geometry

132

APPENDIX H: Graphing Parabolas

133

APPENDIX I: Calculating the “Slope” of a Line

134

APPENDIX J: Introduction to Basic Trigonometry