Algebra 2

2nd or 3rd Edition

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Course Content

Lessons Status
1

Algebra 2 – Introduction: Prerequisites for the Course – How to Use the Math Book – Expectations of Students

2

Review A: Review of the Language of Geometry – Use of the Absolute Value – Algebraic Definitions

3

Review B: Review of Area and Volume

4

Lesson 1: Introduction of Transversals of Parallel Lines & Proportional Segments – Review of Polygons & Triangles

5

Lesson 2: Working with Positive & Negative Exponents – Using the Product & Power Rules with Exponents – Circles

6

Lesson 3: Adding Like Terms – Evaluating Algebraic Expressions

7

Lesson 4: Using the Distributive Property – Solving Equations Having Only One Unknown

8

Lesson 5: Solving Word Problems Using Equations – Finding Fractional Parts of Quantities

9

Lesson 6: Solving Equations Containing Decimals and Solving Word Problems Involving Consecutive Integers

10

Lesson 7: Solving Word Problems Involving Percents – Geometric Equations Containing Algebraic Terms

11

Lesson 8: Review of Polynomials – Graphing Linear Equations Using the "Slope-Intercept Method"

12

Lesson 9: More Challenging Percent Word Problems

13

Lesson 10: Application of the Pythagorean Theorem

14

Lesson 11: Adding Algebraic Fractions – Defining a Central Angle & Inscribed Angles

15

Lesson 12: Using Graphs to Determine the Equation of Straight Lines

16

Lesson 13: Using Substitution to Solve Equations with Two Unknown Variables (Part I) – Finding the Area of an Isosceles Triangle

17

Lesson 14: Finding the Equation of a Line Using Two Points or with a Given Slope

18

Lesson 15: Using Elimination to Solve Equations with Two Unknown Variables

19

Lesson 16: Multiplying Polynomials – Dividing Polynomials (Part I)

20

Lesson 17: Working with Subscripted Variables – The Algebraic Relationship of Angles

21

Lesson 18: Working with Ratio & Proportion Word Problems – Solving Similar Triangles (Part I)

22

Lesson 19: Word Problems Involving Money or Value – Geometric Relationships

23

Lesson 20: Simplifying Radicals – Equations of Parallel Lines

24

Lesson 21: Scientific Notation – Using Statements of Equality with Ratios and Proportions

25

Lesson 22: Solving Uniform Motion Word Problems Involving Equal Distances (Part I) – Solving Similar Triangles (Part II)

26

Lesson 23: Solving Two Equations with Two Unknowns by Graphing the Lines

27

Lesson 24: Working with Equations Containing Fractions – Overlapping Triangles (Part I) – (Another Form of Similar Triangles)

28

Lesson 25: Introduction to Algebraic Factoring – Relationships of Angles and Sides Formed by Parallel Lines

29

Lesson 26: Introduction to Trinomial Factoring – Overlapping Triangles (Part II)

30

Lesson 27: Using a Common Denominator in Trinomial Factoring

31

Lesson 28: Simplifying Abstract, Complex Fractions (Part I) – Working with Radicals in the Denominator

32

Lesson 29: Uniform Motion Problems Involving Total Distance (Part II)

33

Lesson 30: Euclid's "Deductive Reasoning" – Working with Vertical Angles – Angles Formed by Parallel Lines & Transversals

34

Lesson 31: Application of Negative Reciprocals – Slopes of Perpendicular Lines – Defining Remote Interior Angles

35

Lesson 32: Application of the "Quotient Theorem" to Radicals – Applying Congruency to Triangles – Transformations

36

Lesson 33: Simplifying More Advanced Abstract, Complex Fractions (Part II)

37

Lesson 34: Solving Uniform Motion Problems Involving Unequal Distances (Part III)

38

Lesson 35: Defining Angles in Polygons – What Are Inscribed Quadrilaterals? – Introduction to Fractional Exponents (Part I)

39

Lesson 36: Multiplication and Division of Rational Expressions (Factoring and Simplifying)

40

Lesson 37: Word Problems Involving the Ratios of Chemical Compounds – Relationship of Angles & Sides in Parallelograms

41

Lesson 38: Using the Power Rule with Exponents in Algebraic Terms – Factoring and Finding the Roots of Trinomials – Zero?

42

Lesson 39: The Difference of Two Squares – Proof of the Parallelogram – The Relationship of Sides and Angles of a Rhombus

43

Lesson 40: More Abstract, Fractional Equations (Part III)

44

Lesson 41: Working with U.S. Standard Units of Measurement and Converting Them Using Unit Multipliers

45

Lesson 42: Using Scientific Notation to Estimate Very Large and Very Small Numbers

46

Lesson 43: Introduction to Basic Trigonometry (Using the Sine, Cosine, and Tangent)

47

Lesson 44: Working with and Solving Right Triangles

48

Lesson 45: Review of Factoring the "Difference of Two Squares"

49

Lesson 46: Working with Radical Expressions (Part II) – "Nested" Radicals and Fractional Exponents (Part II)

50

Lesson 47: Unit Conversions Involving Rates – "Nested" Radicals and Fractional Exponents (Part III)

51

Lesson 48: Solving More Advanced Equations Involving Radical Expressions

52

Lesson 49: Finding the "Y-Intercept" in Linear Equations – Transversals and Trigonometry

53

Lesson 50: Solving Quadratic Equations by "Completing the Square"

54

Lesson 51: Working with the Set of Complex Numbers – Imaginary Numbers – Euler's Notation

55

Lesson 52: Word Problems Involving Chemical Mixtures (Part I)

56

Lesson 53: Using Unit Multipliers to Convert Metric Units to U.S. and U.S. to Metric – Chemical Compounds (Part II)

57

Lesson 54: Vectors – Converting Polar Coordinates to Rectangular Coordinates – Solving Similar Triangles (Part III)

58

Lesson 55: More Advanced Abstract Equations – Solving Word Problems Involving Quadratic Equations

59

Lesson 56: The Relationship of Sides and Angles to Circles

60

Lesson 57: Word Problems Involving the "Combined" or "Ideal" Gas Laws (Part I)

61

Lesson 58: Working with "Lead Coefficients" in Completing the Square

62

Lesson 59: Graphing Experimental Data (Part I) – Equations with Decimals & Fractions – Converting Rectangular to Polar Form

63

Lesson 60: Working with Both Direct and Inverse Ratios and Proportions

64

Lesson 61: Word Problems Involving Chemical Mixtures (Part II)

65

Lesson 62: Finding the Complex Roots of Quadratic Equations (a +/- bi)

66

Lesson 63: Adding Vectors

67

Lesson 64: More Advanced Abstract Complex Fractions (Part III)

68

Lesson 65: Solving Equations with Subscripted Variables Using Substitution (Part II)

69

Lesson 66: Changing the Signs of Fractions – Working with 30-60-90 degree Triangles

70

Lesson 67: Solving fractions that have Multiple Radical Denominators

71

Lesson 68: Scientific Notation – Expressing Powers and Roots on a Scientific Calculator (Casio fx360 solar – $9.99)

72

Lesson 69: Word Problems Involving the "Combined" or "Ideal" Gas Laws (Part II)

73

Lesson 70: More Advanced Abstract Complex Equations (Part IV)

74

Lesson 71: Factoring Trinomials Using the Quadratic Formula

75

Lesson 72: Graphing Experimental Data (Part II) – Defining Negative Angles

76

Lesson 73: Multiple Radical Denominators (Part II)

77

Lesson 74: More Word Problems Involving Distance (Part IV)

78

Lesson 75: Factoring Trinomials While Applying the Rules for Changing the "Signs of Fractions"

79

Lesson 76: Solving Three Equations with Three Unknown Variables – Defining a Negative Vector

80

Lesson 77: More Advanced Radical Equations (Part III) – Solving Equations with Multiple Radicals

81

Lesson 78: Using Trigonometry to Calculate Resulting "Force Vectors"

82

Lesson 79: Calculating Metric Volume – Working with 45-45-90 degree Triangles

83

Lesson 80: Working with Direct and Inverse Variation in Ratios and Proportion (Part II)

84

Lesson 81: Multiplying and Dividing with Complex Numbers

85

Lesson 82: Simplifying Abstract, Complex Fractions (Part IV)

86

Lesson 83: Rules for Working with Exponents that Are Variables

87

Lesson 84: Defining the Three Possible Solutions for Equations

88

Lesson 85: Solving for the Variables in Systems of "Non-Linear" Equations (Part I)

89

Lesson 86: Defining "Trichotomy" & "Transitivity" – Irrational Roots (Part I)

90

Lesson 87: Definition and Application of the "Slope" Formula in Linear Equations.

91

Lesson 88: Application of the "Distance" Formula – Problems Dealing with the Ideal Gas Law (Part III)

92

Lesson 89: Mathematical "Conjunctions" and "Disjunctions" – The Relationship of Products of "Chords" and "Secants" in Circles

93

Lesson 90: Solving Systems of Three Equations Containing Three Unknown Variables (Part I)

94

Lesson 91: Solving Systems of Linear "Inequalities"

95

Lesson 92: Solving Word Problems Involving Going Both Against & with River Currents (Part I)

96

Lesson 93: Using the "Discriminant" from the Quadratic Equation

97

Lesson 94: Defining "Functions," Functional Notation," and "Dependent" and "Independent" Variables

98

Lesson 95: Solving More Advanced Systems of Non-Linear Equations (Part II)

99

Lesson 96: Equations Using Joint, Inverse, Direct, and Indirect Variations of Relationship (Part II) – Irrational Roots (Part II)

100

Lesson 97: Using Substitution in Solving Systems of Two Equations with Two Unknowns (Part III)

101

Lesson 98: Finding Fractional Distances Between Numbers

102

Lesson 99: Applying "Conjunctions" and "Disjunctions" to Absolute Values – Absolute Values Less than Zero – Definition of "Null"

103

Lesson 100: Graphing Non-linear Functions called "Parabolas"

104

Lesson 101: Defining "Selling Price, Purchase Price," and "Mark-Up"

105

Lesson 102: Working with "Functional Notation" – Finding the "Sums" and "Products" of Functions

106

Lesson 103: Dividing Polynomials (Part II)

107

Lesson 104: Reviewing the Set of Complex Numbers – The Subset of Real Numbers – Working with Repeating Decimal Digits

108

Lesson 105: Advanced Factoring of Trinomials

109

Lesson 106: More on Solving Systems of Three Equations with Three Unknowns (Part II)

110

Lesson 107: Word Problems Involving the Place Values of Numbers

111

Lesson 108: Factoring the Sum and Difference of Two Cubes

112

Lesson 109: More on Working with Exponents Containing Fractions (Part IV)

113

Lesson 110: Graphing Quadratic Inequalities (Part I)

114

Lesson 111: Word Problems Containing Statements of Equality

115

Lesson 112: Graphing Quadratic Inequalities (Part II)

116

Lesson 113: Logarithms (Part I)

117

Lesson 114: Graphing Non-Linear Inequalities

118

Lesson 115: Solving Exponential Functions – Working with Compound Interest

119

Lesson 116: Probability and Permutations

120

Lesson 117: Using Symbols for Sets of Numbers in Describing Functions

121

Lesson 118: Logarithms (Part II)

122

Lesson 119: Inequalities Involving Absolute Values

123

Lesson 120: Word Problems Comparing Time Differences

124

Lesson 121: Graphing Rational Inequalities

125

Lesson 122: Logarithms (Part III) – Symbols for the Union & Intersection of Number Sets – Venn Diagrams

126

Lesson 123: Location of Points from Both a Given Line and a Given Point – Basic Construction Using Straight Edge and Compass

127

Lesson 124: Proofs of Triangles Using SSS, AAS, SAS, and HL (Part I)

128

Lesson 125: Two Column "Formal Proofs" (Part I) – Relationships Between Chords, Tangents, and Circles

129

Lesson 126: Revisiting Quadrilaterals – Relationship Between Chords, Angles, and Circles – Two Column Proofs (Part II)

130

Lesson 127: Visualizing "Solid" Geometry – Two Column Proofs (Part III)

131

Lesson 128: Circumscribed, Inscribed, and Central Angles and Triangles

132

Lesson 129: Revisiting Stem & Leaf Plots – Standard Deviation