Advanced Algebra/Trigonometry is the third, and final, Regents Math course. the one year course culminates with a regents Exam in June. Upon completion of this course, students have the option of moving on to other Elective and Advanced Placement math courses.

Algebra II/Trigonometry Curriculum
1. Equations and Inequalities
• Expressions and Formulas
• Properties of Real Numbers
• Solving Equations
• Solving Absolute Value Equations
• Solving Inequalities
• Solving Compound and Absolute Value Inequalities
2. Linear Relations and Functions
• Relations and Functions
• Linear Relations and Functions
• Rate of Change and Slope
• Writing Linear Equations
• Scatter Plots and Lines of Regression
• Special Functions
• Parent Functions and Transformations
• Graphing Linear and Absolute Value Inequalities
3. Systems of Equations and Inequalities
• Solving Systems of Equations by Graphing
• Solving Systems of Equations Algebraically
• Solving Systems of Inequations by Graphing
• Optimization with Linear Programming
• Systems of Equations in Three Variables
• Solving Quadratic Equations by Graphing
• Solving Quadratic Equations by Factoring
• Complex Numbers
• Completing the Square
• The Quadratic Formula and the Discriminant
5. Polynomials and Polynomial Functions
• Operations with Polynomials
• Dividing Polynomials
• Polynomial Functions
• Analyzing Graphs of Polynomial Functions
• Solving Polynomial Equations
• The Remainder and Factor Theorems
• Roots and Zeros
• Rational Zero Theorem
6. Inverses and Radical Functions and Relations
• Operations on Functions
• Inverse Functions and Relations
• Square Root Functions and Inequalities
• Rational Exponents
• Solving Radical Equations and Inequalities
7. Exponential and Logarithmic Functions and Relations
• Graphing Exponential Functions
• Solving Exponential Equations and Inequalities
• Logarithms and Logarithmic Functions
• Solving Logarithmic Equations and Inequalities
• Properties of Logarithms
• Common Logarithms
• Base e and Natural Logarithms
• Using Exponential and Logarithmic Functions
8. Rational Functions and Relations
• Multiplying and Dividing Rational Expressions
• Adding and Subtracting Rational Expressions
• Graphing Reciprocal Functions
• Graphing Rational Functions
• Variation Functions
• Solving Rational Equations and Inequalitie
9. Sequences and Series
• Sequences as Functions
• Arithmetic Sequences and Series
• Geometric Sequences and Series
• Infinite Geometric Series
• Recursion and Iteration
• The Binomial Theorem
• Proof by Mathematical Induction
10. Probability and Statistics
• Experiments, Surveys, and Observational Studies
• Statistical Analysis
• Conditional Probability
• Probability Distributions
• The Normal Distribution
• Hypothesis Testing
• Binomial Distributions
11. Trigonometric Functions
• Trigonometric Functions in Right Triangles
• Angles and Angle Measure
• Trigonometric Functions of General Angles
• Law of Sines
• Law of Cosines
• Circular Functions
• Graphing Trigonometric Functions
• Translations of Trigonometric Graphs
• Inverse Trigonometric Functions
12. Trigonometric Identities and Equations
• Trigonometric Identities
• Verifying Trigonometric Identities
• Sum and Difference of Angles Identities
• Double-Angle and Half-Angle Identities
• Solving Trigonometric Equations