DMA 065 Algebra for Precalculus (3 Credit Hours)

Competencies

1. Represent real-world applications as quadratic equations
2. Apply exponent rules
3. Solve application problems involving polynomial
4. Apply the principles of factoring when solving problems
5. Represent and solve contextual application problems involving operations on expressions and/or equations
6. Explain the reasonableness of solutions found
7. Solve radical equations
8. Perform operations with radical expressions

Student Learning Outcomes

1. Demonstrate the use of a problem solving strategy to include multiple representations of the situation, organization of the information, and algebraic representation of quadratic and rational equations
2. Add and subtract polynomials
3. Apply exponent rules
4. Multiply polynomials
5. Divide a polynomial by a monomial
6. Factor trinomials using multiple methods
7. Factor the difference of two squares
8. Given the graph of a parabola, identify the vertex and x-intercepts
9. Solve quadratic applications using the zero product property and critique the reasonableness of solutions found
10. Identify the domain of a rational expression
11. Multiply and divide rational expressions
12. Add and subtract rational expressions
13. Solve basic rational equations
14. Use rational exponents to rewrite radical expressions
15. Simplify radical expressions
16. Add and subtract radical expressions
17. Multiply radical expressions
18. Divide radical expressions
19. Solve radical equations with one radical term
20. Solve quadratic equations and applications using the quadratic formula