# Algebra 2 Trigonometry Curriculum Map

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)

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
• 5-4R Square Roots and Radicals
• 5-6 Complex Numbers
• 5-7 Completing the Square

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
• 7-4 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

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
• 13-4 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