Students will be able to:
1) Given two points on a line or one point and the slope, write the equation for the line.
2) Given a graph or equation of a line in a plane, find the slope and intercepts of that line. Given their equations, state whether two lines on a plane are parallel or perpendicular.
3) Associate equations with graphs of circles, parabolas, ellipses, and hyperbolas, and graph these curves from their equations.
4) Sketch the graph of a simple function or relation and use the graph and its symmetries to describe the properties of the function or relation.
5) Graph linear inequalities. Identify the convex region associated with a system of inequalities.
6) Represent problem situations by using variables, equations, and inequalities.
7) Simplify algebraic expressions involving trinomial factoring and special products.
8) Simplify algebraic expression including simple ration and radical expressions.
9) Use the quadratic formula to solve quadratic equations with complex roots.
10) Apply the ability to analyze number relationships to problem situations. Given data in tabular or graphic form, determine a rule for the relationship and use that rule to solve problems. The relationships may involve two operations in a linear relationship or simple quadratic relationships.
11) Develop understanding and skill in the use of matrices.
12) Understand and use properties of direct and inverse variation to solve real problems.
13) Develop understanding and skill in the meaning and use of sequences and series.
14) Solve systems of equations and inequalities. Apply this skill to the solution of real problems.
15) Solve quadratic equations and inequalities. Apply this skill to the solution of real problems.
16) Plot linear and quadratic functions, step functions, and constant functions.
17) Recognize properties of functions (minimums, maximums, roots, asymptotes, etc.) from their graphs.
18) Relate transformations of functions to changes in their graphs.
19) Determine the probability of simple and compound events, both independent and dependent, and of the complement of an event.
20) Recognize, graph, and use logarithmic functions.
21) Find inverses of functions and their graphs.