ADVANCED MATH TOPICS KHAN ACADEMY PRACTICE MODULES
Ch. 1 - Linear Relations and Functions
Ch. 2 - Systems of Linear Equations and Inequalities
Ch. 3 - The Nature of Graphs
Ch. 4 - Polynomial and Rational Functions
Ch. 5 - The Trigonometric Functions
Ch. 6 - Graphs of Trigonometric Functions
Ch. 7 - Trigonometric Identities and Equations
Ch. 8 - Vectors and Parametric Equations
- Ordered pair solutions to linear equations
- Identifying linear relationships
- Solving for the x-intercept
- Identifying slope of a line
- Line graph intuition
- Graphing linear equations
- Solving for the y-intercept
- Slope intercept form
- Point slope form
- Converting between slope-intercept and standard form
- Converting between point-slope and slope-intercept
- Finding the equation of a line
- Equations from tables
- Equations of parallel and perpendicular lines
Ch. 2 - Systems of Linear Equations and Inequalities
- Graphing systems of equations
- Systems of equations with simple elimination
- Systems of equations with elimination
- Systems of equations with substitution
- Systems of equations
- Systems of equations word problems
- Solutions to systems of equations
- Graphing systems of inequalities
- Graphing and Solving Systems of inequalities
Ch. 3 - The Nature of Graphs
Ch. 4 - Polynomial and Rational Functions
- Dividing polynomials by binomials 1
- Simplifying rational expressions
- Dividing polynomials by binomials 2
- Simplifying rational expressions 2
- Dividing polynomials by binomials 3
- Simplifying rational expressions 3
Ch. 5 - The Trigonometric Functions
- Trigonometry 0.5
- Trigonometry 1
- Trigonometry 1.5
- Trigonometry 2
- Reciprocal trig functions
- Special right triangles
- Unit circle
- Inverse trig functions
- Law of Cosines
Ch. 6 - Graphs of Trigonometric Functions
Ch. 7 - Trigonometric Identities and Equations
Ch. 8 - Vectors and Parametric Equations
Ch. 9 - Polar Coordinates and Complex Numbers
Ch. 10 - Conics
Ch. 11 - Exponential and Logarithmic Functions
Ch. 12 - Sequences and Series
Ch. 13 - Combinatorics and Probability
Ch. 14 - Statistics and Data Analysis
Ch. 15 - Introduction to Calculus
- Imaginary unit powers
- The imaginary unit and complex numbers
- The complex plane
- Adding and subtracting complex numbers
- Complex plane operations
- Distance and midpoint on the complex plane
- Equivalent forms of expressions with complex numbers
- Multiplying complex numbers
- Dividing complex numbers
- Absolute value of complex numbers
- Complex number form polar intuition
- Rectangular and polar forms of complex numbers
- Multiplying and dividing complex numbers in polar form
- Powers of complex numbers
Ch. 10 - Conics
- Recognizing Conic Sections
- Distance Formula
- Midpoint Formula
- Equation of a Circle in Factored Form
- Equation of a Circle in Non-Factored Form
Ch. 11 - Exponential and Logarithmic Functions
- Cube roots
- Simplifying radicals
- Adding and subtracting radicals
- Multiplying radicals
- Positive and zero exponents
- Negative exponents
- Fractional exponents
- Negative fractional exponents
- Simplifying logarithms
- Simplifying logarithms 2
- Operations with logarithms
Ch. 12 - Sequences and Series
- Arithmetic Sequences 1
- Arithmetic Sequences 2
- Geometric Sequences 1
- Geometric Sequences 2
- Arithmetic Series
Ch. 13 - Combinatorics and Probability
Ch. 14 - Statistics and Data Analysis
Ch. 15 - Introduction to Calculus