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Skill Review
Simplifying expressions
Writing equations for line
Factoring polynomials
Operations with polynomials
Reasoning about and representing quantitative relationships
Quantities and co-variation of quantities
Change in quantities, constant rate of change
Linear relationships
Proportionality
Average rate of change
Distance formula and circles
Absolute Value equations and inequalities
Formalizing relationships between quantities (Functions)
Modeling relationships with functions
Domains of functions
Function notation – use and interpretation using tabular, symbolic, and graphical approaches
Composition of functions
Inverses of functions
Difference quotients
Exponential and logarithmic Functions
Percent change
Comparing linear and exponential behavior
One-unit growth and decay factors, initial values
Partial and n-unit growth and decay factors
Compound interest
The number e and continuous growth and decay
Logarithmic functions – the inverse of exponentials
Graphing exponential functions
Solving exponential and logarithmic equations
Systems of Equations
Modeling with systems of linear equations
Solving systems of 2 linear equations: graphical, substitution, and elimination methods
Polynomial and Power Functions
Changing rates of change and concavity
Transformations of polynomial functions
Quadratic functions – finding roots and max/mins, both in context and skill/drill practice
Roots and end behavior of polynomial functions
Review of division of polynomials
Hand graph polynomial functions
Solving polynomial inequalities
Rational Functions and introduction to limits
Domains of rational functions
Vertical asymptotes
End behavior of rational function and horizontal asymptotes
Graphing rational functions and introducing limits