OpenStax Algebra and Trigonometry, published by OpenStax, is an advanced math textbook designed for Grade 7 students pursuing an accelerated mathematics curriculum. The book covers a comprehensive range of topics including foundational prerequisites, equations and inequalities, functions, linear functions, polynomial and rational functions, exponential and logarithmic functions, and an extensive unit on trigonometry spanning the unit circle, periodic functions, trigonometric identities and equations, and further applications of trigonometry. Additional chapters address systems of equations and inequalities, analytic geometry, and sequences, probability, and counting theory, giving students a thorough grounding in both algebraic and trigonometric concepts.

OpenStax Algebra and Trigonometry textbook table of contents

Chapter 1: Prerequisites

Lesson 1.1: Real Numbers: Algebra EssentialsLearn Practice
Lesson 1.2: Exponents and Scientific NotationLearn Practice
Lesson 1.3: Radicals and Rational ExponentsLearn Practice
Lesson 1.4: PolynomialsLearn Practice
Lesson 1.5: Factoring PolynomialsLearn Practice
Lesson 1.6: Rational ExpressionsLearn Practice

Chapter 2: Equations and Inequalities

Lesson 2.1: The Rectangular Coordinate Systems and GraphsLearn Practice
Lesson 2.2: Linear Equations in One VariableLearn Practice
Lesson 2.3: Models and ApplicationsLearn Practice
Lesson 2.4: Complex NumbersLearn Practice
Lesson 2.5: Quadratic EquationsLearn Practice
Lesson 2.6: Other Types of EquationsLearn Practice
Lesson 2.7: Linear Inequalities and Absolute Value InequalitiesLearn Practice

Chapter 3: Functions

Lesson 3.1: Functions and Function NotationLearn Practice
Lesson 3.2: Domain and RangeLearn Practice
Lesson 3.3: Rates of Change and Behavior of GraphsLearn Practice
Lesson 3.4: Composition of FunctionsLearn Practice
Lesson 3.5: Transformation of FunctionsLearn Practice
Lesson 3.6: Absolute Value FunctionsLearn Practice
Lesson 3.7: Inverse FunctionsLearn Practice

Chapter 4: Linear Functions

Lesson 4.1: Linear FunctionsLearn Practice
Lesson 4.2 : Modeling with Linear FunctionsLearn Practice
Lesson 4.3 : Fitting Linear Models to DataLearn Practice

Chapter 5: Polynomial and Rational Functions

Lesson 5.1: Quadratic FunctionsLearn Practice
Lesson 5.2 : Power Functions and Polynomial FunctionsLearn Practice
Lesson 5.3 : Graphs of Polynomial FunctionsLearn Practice
Lesson 5.4 : Dividing PolynomialsLearn Practice
Lesson 5.5 : Zeros of Polynomial FunctionsLearn Practice
Lesson 5.6 : Rational FunctionsLearn Practice
Lesson 5.7 : Inverses and Radical FunctionsLearn Practice
Lesson 5.8 : Modeling Using VariationLearn Practice

Chapter 6: Exponential and Logarithmic Functions

Lesson 6.1 : Exponential FunctionsLearn Practice
Lesson 6.2 : Graphs of Exponential FunctionsLearn Practice
Lesson 6.3 : Logarithmic FunctionsLearn Practice
Lesson 6.4 : Graphs of Logarithmic FunctionsLearn Practice
Lesson 6.5 : Logarithmic PropertiesLearn Practice
Lesson 6.6 : Exponential and Logarithmic EquationsLearn Practice
Lesson 6.7 : Exponential and Logarithmic ModelsLearn Practice
Lesson 6.8 : Fitting Exponential Models to DataLearn Practice

Chapter 7: The Unit Circle: Sine and Cosine Functions

Lesson 7.1 : AnglesLearn Practice
Lesson 7.2 : Right Triangle TrigonometryLearn Practice
Lesson 7.3 : Unit CircleLearn Practice
Lesson 7.4 : The Other Trigonometric FunctionsLearn Practice

Chapter 8: Periodic Functions

Lesson 8.1 : Graphs of the Sine and Cosine FunctionsLearn Practice
Lesson 8.2 : Graphs of the Other Trigonometric FunctionsLearn Practice
Lesson 8.3 : Inverse Trigonometric FunctionsLearn Practice

Chapter 9: Trigonometric Identities and Equations

Lesson 9.1: Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric ExpressionsLearn Practice
Lesson 9.2: Sum and Difference IdentitiesLearn Practice
Lesson 9.3 : Double-Angle, Half-Angle, and Reduction FormulasLearn Practice
Lesson 9.4 : Sum-to-Product and Product-to-Sum FormulasLearn Practice
Lesson 9.5 : Solving Trigonometric EquationsLearn Practice

Chapter 10: Further Applications of Trigonometry

Lesson 10.1 : Non-right Triangles: Law of SinesLearn Practice
Lesson 10.2 : Non-right Triangles: Law of CosinesLearn Practice
Lesson 10.3 : Polar CoordinatesLearn Practice
Lesson 10.4 : Polar Coordinates: GraphsLearn Practice
Lesson 10.5 : Polar Form of Complex NumbersLearn Practice
Lesson 10.6 : Parametric EquationsLearn Practice
Lesson 10.7 : Parametric Equations: GraphsLearn Practice
Lesson 10.8: VectorsLearn Practice

Chapter 11: Systems of Equations and Inequalities

Lesson 11.1: Systems of Linear Equations: Two VariablesLearn Practice
Lesson 11.2: Systems of Linear Equations: Three VariablesLearn Practice
Lesson 11.3: Systems of Nonlinear Equations and Inequalities: Two VariablesLearn Practice
Lesson 11.4: Partial FractionsLearn Practice
Lesson 11.5: Matrices and Matrix OperationsLearn Practice
Lesson 11.6: Solving Systems with Gaussian EliminationLearn Practice
Lesson 11.7: Solving Systems with InversesLearn Practice
Lesson 11.8: Solving Systems with Cramer's RuleLearn Practice

Chapter 12: Analytic Geometry

Lesson 12.1: The EllipseLearn Practice
Lesson 12.2: The HyperbolaLearn Practice
Lesson 12.3: The ParabolaLearn Practice
Lesson 12.4: Rotation of AxesLearn Practice
Lesson 12.5: Conic Sections in Polar CoordinatesLearn Practice

Chapter 13: Sequences, Probability, and Counting Theory

Lesson 13.1: Sequences and Their NotationsLearn Practice
Lesson 13.2: Arithmetic SequencesLearn Practice
Lesson 13.3: Geometric SequencesLearn Practice
Lesson 13.4: Series and Their NotationsLearn Practice
Lesson 13.5: Counting PrinciplesLearn Practice
Lesson 13.6: Binomial TheoremLearn Practice
Lesson 13.7: ProbabilityLearn Practice

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OpenStax Algebra and Trigonometry — Lessons, Skills & Practice | Pengi