Algebra 2 reviews and expands on algebraic concepts from Algebra 1, and introduces new concepts such as matrices, probability, conic sections, logarithms, complex numbers, and trigonometry.

The Preliminary Edition LightUnits will be available for several years while the material is being refined for a textbook. The LightUnits do not contains quizzes and tests, which are available in a separate packet. Daily lessons do not have space for student computations, so problems will need to be worked out on other paper. Reference numbers after each direction line indicate where the concept was previously taught.

The course is divided into 10 units with a total of 160 lessons.

Contents

Unit 1

Section 1

• 1.1 Sets
• 1.2 Order of Operations
• 1.3 Real Number Properties
• 1.4 Exponents
• 1.5 Quiz 1

Section 2

• 1.6 Equations
• 1.7 Identities and Contradictions; Literal Equations
• 1.8 Solving and Graphing Inequalities
• 1.9 Graphing Linear Equations
• 1.10 Quiz 2

Section 3

• 1.11 Compound Inequalities
• 1.12 Multiplying Polynomials
• 1.13 The Slope Formula
• 1.14 Writing Linear Equations
• 1.15 Review
• 1.16 Test

Unit 2

Section 1

• 2.1 Factoring Polynomials
• 2.2 Systems of Equations
• 2.3 Solving Absolute Value Equations
• 2.4 Graphing Linear Inequalities
• 2.5 Quiz 1

Section 2

• 2.6 Simplifying Radicals
• 2.7 Solving Systems of Equations by Elimination
• 2.8 Multiplying and Dividing Radicals
• 2.9 Graphing Two-Variable Linear Inequalities
• 2.10 Quiz 2

Section 3

• 2.11 Quadratic Equations
• 2.12 Imaginary Numbers
• 2.13 Linear Programming
• 2.14 Completing the Square
• 2.15 Review
• 2.16 Test

Unit 3

Section 1

• 3.1 Factoring By Grouping
• 3.2 Dividing Polynomials by Long Division
• 3.3 Introduction to Functions
• 3.4 Graphing Quadratic Functions
• 3.5 Quiz 1

Section 2

• 3.6 Synthetic Division
• 3.7 The Quadratic Formula
• 3.8 The Discriminant of the Quadratic Formula
• 3.9 Translated Quadratic Functions
• 3.10 Quiz 2

Section 3

• 3.11 Three-Variable Systems
• 3.12 Combining Complex Numbers
• 3.13 Operations with Functions
• 3.14 Reducing Rational Expressions
• 3.15 Review
• 3.16 Test

Unit 4

Section 1

• 4.1 Factoring Completely
• 4.2 Factoring a Difference or Sum of Cubes
• 4.3 Rationalizing Radical Denominators
• 4.4 Completing the Square of a Quadratic Function
• 4.5 Quiz 1

Section 2

• 4.6 Dividing Complex Numbers
• 4.7 Finding the LCM to Add and Subtract Rational Expressions
• 4.8 Rationalizing Binomial Denominators Containing Radicals
• 4.9 Graphing Quadratic Function Inequalities
• 4.10 Quiz 2

Section 3

• 4.11 Polynomial Equations and Polynomial Functions
• 4.12 Complex Rational Expressions
• 4.13 Graphing Polynomial Functions
• 4.14 Rational Equations
• 4.15 Review
• 4.16 Test

Unit 5

Section 1

• 5.1 The Pythagorean Theorem
• 5.2 Matrices
• 5.3 The Distance and Midpoint Formulas
• 5.4 Radical Equations
• 5.5 Quiz 1

Section 2

• 5.6 Multiplication of Two Matrices
• 5.7 Trigonometric Ratios
• 5.8 Equations with Multiple Radicals
• 5.9 The Fundamental Principle of Counting
• 5.10 Quiz 2

Section 3

• 5.11 Matrix Determinants
• 5.12 Fractional Exponents
• 5.13 Graphing Simple Rational Functions
• 5.14 Solving Right Triangles
• 5.15 Review
• 5.16 Test

Unit 6

Section 1

• 6.1 Simplifying Complex Radical Expressions
• 6.2 Composite Functions
• 6.3 Conic Sections and Analytic Geometry: Circles
• 6.4 Arithmetic Sequences
• 6.5 Quiz 1

Section 2

• 6.6 Permutations
• 6.7 Trigonometric Ratios of Angles Greater Than 90°
• 6.8 Geometric Sequences
• 6.9 Permutations of Partial Sets
• 6.10 Quiz 2

Section 3

• 6.11 Statistics: Measures of Center
• 6.12 Completing the Square for Circles
• 6.13 Measures of Variability: Range and Standard Deviation
• 6.14 Graphing Linear Rational Functions in General Form
• 6.15 Review
• 6.16 Test

Unit 7

Section 1

• 7.1 Camer's Rule
• 7.2 Finding the n^th Term of an Arithmetic Sequence
• 7.3 Combinations
• 7.4 Radian Measure
• 7.5 Quiz 1

Section 2

• 7.6 Applications of Composite Functions
• 7.7 Conic Sections and Analytic Geometry: Parabolas
• 7.8 Finding the n^th Term of a Geometric Sequence
• 7.9 Probability
• 7.10 Quiz 2

Section 3

• 7.11 Exponential Functions
• 7.12 Logarithms
• 7.13 Multiple Probabilities
• 7.14 Radical Functions
• 7.15 Review
• 7.16 Test

Unit 8

Section 1

• 8.1 The Gauss-Jordan Method of Solving Two Equation Systems
• 8.2 Arithmetic Series
• 8.3 Graphing a Sine Function
• 8.4 Common and Natural Logarithms
• 8.5 Quiz 1

Section 2

• 8.6 Translated Exponential Functions
• 8.7 Conic Sections and Analytic Geometry: Translated Parabolas
• 8.8 The Cosine Function
• 8.9 Geometric Series
• 8.10 Quiz 2

Section 3

• 8.11 Conic Sections and Analytic Geometry: Horizontal Parabolas
• 8.12 The Gauss-Jordan Method of Solving Three Equation Systems
• 8.13 Histograms and Normal Distributions
• 8.14 Convergent Infinite Geometric Series
• 8.15 Review
• 8.16 Test

Unit 9

Section 1

• 9.1 Conic Sections and Analytic Geometry: Ellipses
• 9.2 Properties of Logarithms
• 9.3 Area of Triangles
• 9.4 Change-of-Base Property
• 9.5 Quiz 1

Section 2

• 9.6 The Tangent Function
• 9.7 Determining the Foci of an Ellipse
• 9.8 The Law of Sines
• 9.9 The Exponential Growth or Decay Formula
• 9.10 Quiz 2

Section 3

• 9.11 Exponential Equations
• 9.12 Conic Sections and Analytic Geometry: Translated Ellipses
• 9.13 Probability of Compound Events
• 9.14 Solving Exponential Equations with Unlike Bases
• 9.15 Review
• 9.16 Test

Unit 10

Section 1

• 10.1 The Law of Sines and the Ambiguous Case - Part 1
• 10.2 Conic Sections and Analytic Geometry: Hyperbolas
• 10.3 Box and Whisker Plots
• 10.4 Data Relationships, Scatter Plots, and Best Fit Lines
• 10.5 Quiz 1

Section 2

• 10.6 Summation Notation
• 10.7 Bacterial Growth and Radioactive Decay: Part 2
• 10.8 Changing a Repeating Decimal to its Rational Form
• 10.9 The Law of Sines and the Ambiguous Case - Part 2
• 10.10 Quiz 2

Section 3

• 10.11 Measuring Correlation Using r
• 10.12 The Law of Cosines
• 10.13 Conic Sections and Analytic Geometry: Translated Hyperbolas
• 10.14 Linear Regression
• 10.15 Review
• 10.16 Test