**Here is the Algebra 2 Overview for the Common Core State Standards Initiative
**

*(This information was used to create the Curriculum Map and Lesson Plans along with the Mathematics Common Core Toolbox)*

**Algebra 2 & Trigonometry Table of Contents**

Downloadable Click Here: ALGEBRA 2 TRIGONOMETRY CURRICULUM MAP

**UNIT 1 – Tools of Algebra**

- 1-1 Properties of Real Numbers
- 1-2 Algebraic Expressions
- 1-3 Solving Equations
- 1-4 Solving Inequalities
- 1-5 Absolute Value Equations and Inequalities
- 1-6 Probability

**UNIT 2 – Functions, Equations, and Graphs**

- 2-1 Relations and Functions
- 2-2 Linear Equations
- 2-3 Direct Variation
- 2-4 Using Linear Models / Finding a Line of Best Fit
- 2-5 Absolute Value Functions and Graphs
- 2-6 Families of Functions
- 2-7 Two-Variable Inequalities

**UNIT 3 – Linear Systems**

- 3-1 Graphing Systems of Equations (Solving Systems of Linear Equations by Graphing and Tables)
- 3-2 Solving Systems of Equations Algebraically (Solving Systems of Equations by Substitution and Elimination)
- 3-3 Solving Systems of Linear Inequalities
- 3-4 Linear Programming
- 3-5 Graphs in Three Dimensions
- 3-6 Solving Linear Systems with Three Variables

**UNIT 4 – Matrices**

- 4-1 Organizing Data Into Matrices
- 4-2 Adding and Subtracting Matrices
- 4-3 Matrix Multiplication
- 4-4 Geometric Transformations with Matrices
- 4-5 2×2 Matrices, Determinants, and Inverses
- 4-6 3×3 Matrices, Determinants, and Inverses
- 4-7 Inverse Matrices and Systems
- 4-8 Augmented Matrices and Systems

**UNIT 5 – Quadratic Equations and Functions**

- 5-1 Modeling Data with Quadratic Functions
- 5-2 Properties of Parabolas
- 5-3 Transforming Parabolas
- 5-4 Factoring Quadratic Expressions
- 5-4R Square Roots and Radicals
- 5-5 Quadratic Equations
- 5-6 Complex Numbers
- 5-7 Completing the Square
- 5-8 The Quadratic Formula
- 5-8R Quadratic Inequalities

**UNIT 6 – Polynomials and Polynomial Functions**

- 6-1 Polynomial Functions
- 6-2 Polynomials and Linear Factors
- 6-3 Dividing Polynomials
- 6-4 Solving Polynomial Equations
- 6-5 Theorems About Roots of Polynomial Equations
- 6-6 The Fundamental Theorem of Algebra
- 6-7 Permutations and Combinations
- 6-8 The Binomial Theorem

**UNIT 7 – Radical Functions and Rational Exponents**

- 7-1 Roots and Radical Expressions
- 7-2 Multiplying and Dividing Radical Expressions
- 7-3 Binomial Radical Expressions
- 7-4 Rational Exponents
- 7-5 Solving Square Root and Other Radical Equations
- 7-6 Function Operations
- 7-7 Inverse Relations and Functions
- 7-8 Graphing Square Root and Other Radical Functions

**UNIT 8 – Exponential and Logarithmic Functions**

- 8-1 Exploring Exponential Models
- 8-2 Fitting Exponential Curves to Data
- 8-2R Properties of Exponential Functions
- 8-3 Logarithmic Functions as Inverses
- 8-4 Properties of Logarithms
- 8-5 Exponential and Logarithmic Equations
- 8-6 Natural Logarithms

**UNIT 9 – Rational Functions**

- 9-1 Inverse Variation
- 9-2 The Reciprocal Function Family
- 9-3 Rational Functions and Their Graphs
- 9-4 Rational Expressions
- 9-5 Adding and Subtracting Rational Expressions
- 9-6 Solving Rational Equations
- 9-6R Rational Inequalities
- 9-7 Probability of Multiple Events

**UNIT 10 – Quadratic Relations and Conic Sections**

- 10-1 Exploring Conic Sections
- 10-2 Parabolas
- 10-3 Circles
- 10-4 Ellipses
- 10-5 Hyperbolas
- 10-6 Translating Conic Sections
- 10-6R Solving Quadratic Systems

**UNIT 11 – Sequences and Series**

- 11-1 Mathematical Patterns
- 11-2 Arithmetic Sequences
- 11-3 Geometric Sequences
- 11-4 Arithmetic Series
- 11-5 Geometric Series
- 11-6 Area Under a Curve

** UNIT 12 – Probability and Statistics**

- 12-1 Probability Distributions
- 12-2 Conditional Probability
- 12-3 Analyzing Data
- 12-4 Standard Deviation
- 12-5 Working with Samples
- 12-6 Binomial Distributions
- 12-7 Normal Distributions

**UNIT 13 – Periodic Functions and Trigonometry**

- 13-1 Exploring Periodic Data
- 13-2 Angles and the Unit Circle
- 13-3 Radian Measure
- 13-4 The Sine Function
- 13-5 The Cosine Function
- 13-6 The Tangent Function
- 13-7 Translating Sine and Cosine Functions
- 13.8 Reciprocal Trigonometric Functions

**UNIT 14 – Trigonometric Identities and Equations**

- 14-1 Trigonometric Identities
- 14-2 Solving Trigonometric Equations Using Inverses
- 14-3 Right Triangles and Trigonometric Ratios
- 14-4 Area and the Law of Sines
- 14-4R The Ambiguous Case
- 14-5 The Law of Cosines
- 14-6 Angle Identities
- 14-7 Double-Angle and Half-Angle Identities