- graph linear functions
- graph absolute value functions
- graph inequalities
- add and subtract matrices
- multiply matrices by a scalar or another matrix
- find determinants and inverse matrices
- be able to write the identity matrix
- solve quadratic equations
- graph quadratic functions in standard or vertex form
- evaluate and simplify exponents
- evaluate logarithms
- generate Pascal's triangle
- use Pascal's triangle to expand binomials and find nCr
- Generate Fibonacci numbers
- find horizontal and vertical asymptotes
- know the abbreviations for special sets (real numbers, integers, etc.) and understand the elements of those sets
- identify sets as being closed under addition or multiplication
- recognize functions
- onto & 1-to-1
- define function
- write the equation of a given line
- solve systems of equations in 2 or 3 variables
- solve systems of equations using matrix equations
- add, subtract, multiply, and divide complex numbers
- graph complex numbers
- add, subtract, multiply, and divide polynomials
- compound interest
- solve exponential equations
- solve logarithmic equations
- know the focal properties of conic sections
- graph and classify conic sections
- be able to convert between bases
- add and subtract in any base
- multiply in base 2
- know what fractions terminate and what multiples repeat in a given base
- evaluate sigma notation
- understand inductive proof
- understand proof by contradiction
- convert a number to mod n
