Topics Covered

  1. Rational Expressions
    1. Unit Outline
    2. Factoring: Common Factoring, Simple Trinomials
    3. Factoring: Complex Trinomials, Perfect/Differences of Squares
    4. Simplifying Rational Expressions
    5. Multiplying Rational Expressions
    6. Adding Rational Expressions (Part 1)
    7. Adding Rational Expressions (Part 2)
  2. Transformations of Functions
    1. Unit Outline
    2. Functions, Domain and Range
    3. Function Notation
    4. Parent Functions
    5. Transformations: Translations
    6. Transformations: Reflections, Stretches and Compressions
    7. Transformations: Combinations of Multiple Transformations
    8. Defining Equations of Transformed Functions
    9. Inverse of a Function
  3. Quadratic Functions
    1. Unit Outline
    2. Minimum/Maximum of a Quadratic
    3. Minimum/Maximum Word Problems
    4. Working with Radicals
    5. Solving Quadratic Equations
    6. Applications of Solving Quadratic Equations
    7. Equations of Quadratics
    8. Linear/Quadratic Systems
  4. Trigonometry
    1. Unit Outline
    2. Primary and Secondary Trigonometric Ratios
    3. Working With Trigonometric Ratios
    4. Coterminal Angles and Trigonometric Ratios For Any Angle
    5. Exact Values of Trigonometric Ratios
    6. Sine and Cosine Laws
    7. Ambiguous Case of the Sine Law
    8. Applications of Trigonometry in 2D
    9. Applications of Trigonometry in 3D
    10. Proving Trigonometric Identities (Part 1)
    11. Proving Trigonometric Identities (Part 2)
  5. Trigonometric Functions
    1. Unit Outline
    2. Periodic Functions
    3. Graphs of Sine, Cosine and Tangent
    4. Transformations of Sinusoidal Functions (Basics)
    5. Transformations of Sinusoidal Functions (Multiple)
    6. Determining Equations of Sinusoidal Functions
    7. Solving Trigonometric Equations
    8. Applications of Sinusoidal Functions
  6. Exponential Functions
    1. Unit Outline
    2. Exponent Laws
    3. Rational Exponents
    4. Simplifying Powers by Changing Bases
    5. Solving Exponential Equations
    6. Properties of Exponential Functions
    7. Transformations of Exponential Functions
    8. Applications of Exponential Functions (Part 1)
    9. Applications of Exponential Functions (Part 2)
  7. Sequences and Series
    1. Unit Outline
    2. Arithmetic Sequences
    3. Geometric Sequences
    4. Recursive Sequences
    5. Pascal’s Triangle and the Binomial Theorem
    6. Arithmetic Series
    7. Geometric Series
  8. Financial Applications
    1. Unit Outline
    2. Compound Interest (Future Value)
    3. Compound Interest (Present Value)
    4. Annuities (Future Value)
    5. Annuities (Present Value)
    6. Mortgages