Algebraic fundamentals
Exponents, including negative and fractional
Radicals
Absolute value
Complex numbers
Functions and graphing
Graphs, functions and relations
Notation
Translations
Symmetry/Even and odd functions, algebraically and graphically
Expansions and contractions
Algebra of functions, function composition
Inverse functions
Piecewise-defined functions
Linear and Polynomial Functions
Linear and polynomial equations and inequalities
Polynomial division
Finding zeros of polynomials, including complex zeros
Graphs of polynomial functions
Rational Functions
Rational equations and inequalities
Graphs of rational functions
Modeling, including variation
Partial fraction decomposition (optional)
Absolute Value Functions
Absolute value equations and inequalities
Graphs of absolute value functions
Exponential and Logarithmic Functions
Exponential functions and their graphs
Logarithmic functions and their graphs
Exponential and logarithmic equations
Modeling, including growth and decay
Systems of Equations and Inequalities
Linear systems
Nonlinear systems
Modeling
Conics
Distance formula
Midpoint
Circles, parabolas, ellipses, hyperbolas
Completing squares to obtain graphing form of conic sections
Sequences and Series
Sequence and summation notation
Arithmetic Sequences
Geometric Sequence