Mathematics » Advanced Algebra and Trig

Advanced Algebra and Trig

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
4. Quadratic Functions and Relations
  • Graphing Quadratic Functions
  • Solving Quadratic Equations by Graphing
  • Solving Quadratic Equations by Factoring
  • Complex Numbers
  • Completing the Square
  • The Quadratic Formula and the Discriminant
  • Transformations with Quadratic Functions
  • Quadratic Inequalities
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
  • Operations with Radical Expressions
  • 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