- To apply functions to problem situations.

- To manipulate symbols in order to simplify algebraic expressions and solve equations and inequalities.

- To use a variety of methods to formulate and solve systems of equations and inequalities given various problem situations.

- To connect algebraic and geometric representations of functions by identifying and graphing parent functions and various transformations as well as recognizing inverse relationships between functions.

- To describe and sketch graphs of conic sections as well as various parameter changes of these graphs.

- To apply functions to problem situations.

- To manipulate symbols in order to simplify algebraic expressions and solve equations and inequalities.

- To use a variety of methods to formulate and solve systems of equations and inequalities given various problem situations.

- To connect algebraic and geometric representations of functions by identifying and graphing parent functions and various transformations as well as recognizing inverse relationships between functions.

- To describe and sketch graphs of conic sections as well as various parameter changes of these graphs.

- To represent and translate quadratic functions in different ways.

- To formulate, solve and analyze quadratic equations and inequalities in a variety of ways.

- To formulate equations and inequalities based on square root functions, use a variety of methods to solve these functions, and analyze the solutions in terms of the situation.

- To formulate equations and inequalities based on rational functions, use a variety of methods to solve them and analyze the solutions in terms of the situation.