Algebra 1

3rd Edition

Buy a Subscription

Course Content

Lessons Status
1

Algebra 1 – Introduction: Prerequisites for the Course – How to Use the Math Book – Expectations of Students

2

Lesson 1: Review of Adding & Subtracting with Fractions & Whole Numbers – Using Line Segments as Fractional Parts of a Line

3

Lesson 2: The Language of Geometry – Angles, Triangles, Polygons, and Quadrilaterals

4

Lesson 3: Definition and Application of Perimeter and Circumference

5

Lesson 4: Review of Basic Arithmetic and the Symbols and Algorithms Used in the Computations

6

Lesson 5: Composition of the Sets of Numbers – Defining the Absolute Value of Numbers

7

Lesson 6: Rules for Addition and Subtraction – Using the Absolute Value in Addition & Subtraction

8

Lesson 7: The “Double Negative” – Using Symbols of Inclusion

9

Lesson 8: Calculating Areas of Rectangles, Trapezoids, Triangles, Circles, and Semi-Circles

10

Lesson 9: Rules for Multiplications & Division – Working with Inverse Operations

11

Lesson 10: Multiplying and Dividing by Zero – Properties of Multiple Unit Conversions

12

Lesson 11: Using Reciprocals – Basic Rules for Order of Operations – Recognizing Addition Patterns from Multiplication Patterns

13

Lesson 12: Using Symbols of Inclusion in Order of Operations

14

Lesson 13: Working with Multiple “Symbols of Inclusion” in “Order of Operations” – More on the Double Negative!

15

Lesson 14: Evaluating Algebraic Expressions Using Variables and Substitution

16

Lesson 15: Computing Surface Areas of Right Geometric Solids

17

Lesson 16: Working with More Advanced Evaluations Involving Substitutions

18

Lesson 17: Defining Factors, Coefficients, and Terms – Review of the Distributive Property in Multiplication

19

Lesson 18: Reviewing the Definition of “Like Terms” and then Applying that Definition to Adding “Like Terms”

20

Lesson 19: Evaluating Terms Containing Exponents, Powers, and Roots

21

Lesson 20: Finding the Volume of Right Geometric Solids

22

Lesson 21: Defining the “Product Rule” for Exponents – Adding Like Terms that Have Exponents

23

Lesson 22: Review of Definitions for Algebraic Symbols, Words, Statements, and Sentences – Defining “Equations”

24

Lesson 23: Defining “Equivalent Equation” – Applying the “Additive Property of Equality” to Equations

25

Lesson 24: Reviewing the Multiplicative Property of Equality

26

Lesson 25: Solving an Equation for its Unknown Variable

27

Lesson 26: Working with More Challenging Equations

28

Lesson 27: Simplifying Equations Containing Decimals – Advanced Work with the “Distributive Property”

29

Lesson 28: Word Problems Involving Fractions – Applying Functional Notation

30

Lesson 29: Rules for Working with Terms Containing Negative and Zero Exponents

31

Lesson 30: Defining and Using Algebraic Phrases – Word Problems Involving Decimal Parts of Numbers

32

Lesson 31: Working with Equations Containing Symbols of Inclusion (Parenthesis)

33

Lesson 32: Word Problems Using Algebraic Phrases

34

Lesson 33: Working with Products of Prime Factors – Word Problems Containing Statements of Unequal Quantities

35

Lesson 34: Finding the Greatest Common Factor (GCF)

36

Lesson 35: Factoring Using the Greatest Common Factor (GCF) – Proper Use of Factoring in Algebraic Terms

37

Lesson 36: Using the Distributive Property with Positive Exponents – Recognizing a Negative Exponent from a Negative Number

38

Lesson 37: Defining and Graphing Symbols of Inequality

39

Lesson 38: Defining and Working with Ratios and Proportions

40

Lesson 39: More on Symbols of Inequality – Defining & Applying Trichotomy – Working with Word Problems Involving Ratios

41

Lesson 40: Working with Negative Exponents – Applying the Distributive Property of Equality to Negative Exponents

42

Lesson 41: Advanced Application of Adding Like Terms – Using Substitution in Evaluating Equations

43

Lesson 42: Working with Equations Containing More than One Variable

44

Lesson 43: Defining and Working with Least Common Multiples in Algebraic Expressions

45

Lesson 44: Addition of Rational Expressions with Identical and with Different Denominators

46

Lesson 45: Definition and Application of the Mean, Median, and Mode

47

Lesson 46: Definition and Application of a Mathematical Conjunction

48

Lesson 47: Evaluating Percents Less Than, and Greater Than, 100%

49

Lesson 48: Defining and Working with Polynomials of Varying Degrees

50

Lesson 49: Applying the Distributive Property to the Multiplication of Polynomials

51

Lesson 50: More Work with Polynomials – Defining an “Ordered Pair” on the Cartesian Coordinate System

52

Lesson 51: Graphing Linear Equations Using the Cartesian Coordinate System

53

Lesson 52: Advanced Rational Expressions Using Unequal Denominators – Determining “Overall” Average

54

Lesson 53: Applying the “Power Rule” to Exponents – Using Unit Multipliers for Converting Volume

55

Lesson 54: Using Substitution to Solve for Unknown Variables in Equations with More Than One Variable

56

Lesson 55: Establishing Rules for Working with Abstract, Complex Fractions

57

Lesson 56: Defining Finite and Infinite Sets of Numbers – Advanced Linear Graphing Techniques

58

Lesson 57: Adding Algebraic Terms Containing Negative Exponents

59

Lesson 58: Advanced Word Problems dealing with Percents

60

Lesson 59: Advanced Techniques for Solving Two Unknowns with Two Equations

61

Lesson 60: Finding Volume and Surface Areas of Geometric Solids (Prisms & Cylinders)

62

Lesson 61: Review of the Subsets of Real Numbers – Introduction to the Calculator (Casio fx260 solar – $9.99)

63

Lesson 62: Determining Higher Order Roots – Evaluating the Notation “+/-”

64

Lesson 63: Multiplying Radicals – Recognizing Repeating Decimals

65

Lesson 64: Defining “Domain” – Review of the Additive Property of Equality and its Application to the Property of Inequality

66

Lesson 65: Adding Radical Expressions – Defining “Weighted Averages”

67

Lesson 66: Simplifying Radical Terms or Expressions – Simplifying the Square Roots of Large Numbers

68

Lesson 67: Review of the Definition of an Equation – Solving Multiple Equations Using Elimination Rather than Substitution

69

Lesson 68: Advanced Abstract, Complex Fractions

70

Lesson 69: Introduction to Factoring Trinomials

71

Lesson 70: Introduction to Probability – Dependency

72

Lesson 71: Factoring Trinomials with Common Factors – Should We Use Subscripted Variables?

73

Lesson 72: Advanced Factoring in Trinomials – Volume and Surface Area of Pyramids and Cones.

74

Lesson 73: Defining the Difference of Two Squares – More on Probability

75

Lesson 74: Review and Use of Scientific Notation

76

Lesson 75: Linear Equations – Graphing a Line Using the “Slope-Intercept” Method

77

Lesson 76: Defining “Consecutive Integers”

78

Lesson 77: Defining “Consecutive ‘Odd’ or ‘Even’ Integers” – Word Problems using Fractions and Decimals

79

Lesson 78: Solving Equations using “Common Denominators”

80

Lesson 79: Solving Equations Containing Multiple Subscripted Variables

81

Lesson 80: Working with Scientific Notation Involving Very Large or Very Small Numbers

82

Lesson 81: The Three Categories of Linear Equations (Consistent, Inconsistent, or Dependent)

83

Lesson 82: Defining and Evaluating Functions – Determining the Domain and Range of a Function

84

Lesson 83: Word Problems Using Subscripted Variables

85

Lesson 84: Multiplying Radicals – Mapping and Defining Functions and Their Relations

86

Lesson 85: Review of “Stem and Leaf” Plots – Using Them to Create Graphs

87

Lesson 86: Dividing Polynomials

88

Lesson 87: Solving Systems of Equations Using an Algorithm – Using the Vertical Line Test to Determine Functions

89

Lesson 88: Factoring Quadratic Equations

90

Lesson 89: Word Problems Dealing with Money or Other Values

91

Lesson 90: Word Problems Utilizing Ratios and the Multiplication, Division, Addition, and Subtraction of Numbers

92

Lesson 91: Using the Multiplicative Property of Inequality – Volume and Surface Area of Spheres

93

Lesson 92: Word Problems Involving Equal Distances and Uniform Rates

94

Lesson 93: Factoring with Products of Polynomials – Simplifying Abstract, Complex Fractions

95

Lesson 94: More Distance Word Problems Involving the Sum of Two Different Distances

96

Lesson 95: Recognizing and Graphing Unusual Non-Linear Functions

97

Lesson 96: Introduction of the “Difference of ‘Two Squares’ Theorem”

98

Lesson 97: Re-Visiting the “Pythagorean Theorem” – What Is a Pythagorean Triplet?

99

Lesson 98: Using the “Slope Formula” and the “Pythagorean Theorem” to Find the Distance Between Two Points

100

Lesson 99: More Distance Word Problems Involving Uniform Motion, but Comparing Two Unequal Distances

101

Lesson 100: Our “Base Ten” Place Value System – Rules for Rounding Numbers

102

Lesson 101: Factoring Trinomials in the Denominator & Using These Factors to Find a “Common Denominator”

103

Lesson 102: Use of the “Absolute Value” in Statements of “Inequality”

104

Lesson 103: Solving Equations using “Common Denominators” containing “Symbols of Inclusion”

105

Lesson 104: More Abstract, Rational Equations

106

Lesson 105: Using a Technique Called “Grouping” to Factor Polynomials

107

Lesson 106: The “Slope-Intercept Form of Linear Equations – Finding the Equation of a Line Passing Through Two Specific Points

108

Lesson 107: Finding the Equation of a Line “Passing Through a Specific Point,” but also “Parallel” to Another Given Line

109

Lesson 108: Solving Radical Equations Using “Symbols of Inclusion”

110

Lesson 109: Factoring Trinomials Using a Different Method (“Factoring Over the Integers”)

111

Lesson 110: Shifts and Reflections in the Location of the Vertex of a Non-Linear Function

112

Lesson 111: A New Form of Conjunctions – Introduction to Disjunctions

113

Lesson 112: Advanced Multiplication of Radical Expressions Using Double “Symbols of Inclusion”

114

Lesson 113: Introduction to Direct and Inverse Variation

115

Lesson 114: Exponential Growth

116

Lesson 115: Graphing Linear “Inequalities”

117

Lesson 116: Rationalizing The Denominator using “The Quotient Rule”

118

Lesson 117: More Word Problems Involving Direct and Inverse Variation Using “Squared” Terms

119

Lesson 118: Factoring a Trinomial Using a Technique Called “Completing the Square”

120

Lesson 119: Introduction to the Quadratic Formula

121

Lesson 120: Revisiting “Box and Whisker Plots”