Algebra 1
- Algebraic foundation
- Solving equations and inequalities
- Working with units
- Linear equations and graphs
- Forms of linear equations
- Systems of equations
- Inequalities (Systems and Graphs)
- Functions
- Sequences
- Absolute value and piecewise functions
- Exponents and Radicals
- Exponential growth and decay
- Quadratics: Multiplying and Factoring
- Quadratic functions and Equations
- Irrational numbers
- Creativity in Algebra
Geometry
- Performing transformations
- Transformation properties and proofs
- Congruence
- Similarity
- Right triangles and trigonometry
- Analytic geometry
- Conic sections
- Circles
- Solid geometry
Trigonometry
- Right Triangles and Trigonometry
- Trigonometric functions
- Non-right triangles and trigonometry
- Trigonometric equations and identities
Algebra 2
- Polynomial arithmetic
- Complex Numbers
- Polynomial Factorization
- Polynomial Division
- Polynomial Graphs
- Rational exponents and Radicals
- Exponential Models
- Logarithms
- Transformations of Functions
- Equations
- Trigonometry
- Modeling
Precalculus
- Composite and Inverse functions
- Trigonometry
- Complex numbers
- Rational functions
- Conic sections
- Vectors
- Matrices
- Probability and Combinatorics
- Series
- Limits and Continuity
High School Statistics
- Displaying a single quantitative variable
- Analyzing a single quantitative variable
- Two-way tables
- Scatterplots
- Study design
- Probability
- Probability distributions and expected value
Statistics and Probability
- Analyzing categorical data
- Displaying and comparing quantitative data
- Summarizing quantitative data
- Modeling data distributions
- Exploring bivariate numerical data
- Study design
- Probability
- Counting, Premutaions, and Combinations
- Random Variables
- Sampling distributions
- Confidence intervals
- Significance tests (hypothesis testing)
- Two-sample inference for the difference between groups
- Inference for categorical data
- Advanced regression
- Analysis of Variance (ANOVA)
College Algebra
- Linear equations and inequalities
- Graphs and forms of linear equations
- Functions
- Quadratics: Multiplying and factoring
- Quadratic functions and equations
- Complex numbers
- Exponents and Radicals
- Rational expressions and equations
- Relating algebra and geometry
- Polynomial arithmetic
- Advanced function types
- Transformations of functions
- Rational exponents and radicals
- Logarithms
AP/College Calculus AB
Multivariable Calculus
Differential Equations
Linear Algebra