Course Objectives:

1. Develop the algebraic skills necessary for problem solving.
2. Develop the ability to model linear, quadratic, and other nonlinear relations, including the use of graphing techniques and geometrical principles as tools, for the purpose of solving contextual (real world) problems. 
3. Manipulate and apply literal equations for the purposes of solving contextual (real world) problems. 
4. Writing and communicating the results of problem solving appropriately.
5. Use technology as one aide for the purpose of solving contextual (real world) problems.

Topical Outline:

1. Recognize and use exponential, and scientific notation, including negative and rational exponents.
2. Simplify and manipulate rational and radical expressions.
3. Recognize and represent numerical or algebraic expressions in equivalent forms, including radical and rational expressions.
4. Solve quadratic equations, including the use of the quadratic formula.
5. Solve quadratic in form, rational, radical and absolute value equations.
6. Solve compound linear inequalities. 
7. Solve systems of linear equations in two and three variables.
8. Formulate and apply an equation, inequality, or system of linear equations to a contextual (real world) situation.
9. Solve and evaluate literal equations.
10. Formulate and apply nonlinear literal equations to contextual (real world) situations.
11. Graph linear and quadratic equations.
12. Identify the equation of a line, including parallel and perpendicular lines.
13. Identify a function.
14. Determine the domain and range from the graph of a function.
15. Formulate and apply the concept of function to a contextual (real world) situation.
16. Apply the concept of slope for a linear equation as a rate of change to a contextual (real world) situation.
17. Apply formulas of area, perimeter, and volume to basic 2 and 3 dimensional figures.
18. Know and apply the Pythagorean theorem to various contextual (real world) situations.
19. Apply the concepts of similarity and congruency of triangles to a contextual situation.