Apr 19, 2024

2014-2015 Gaston College Catalog

2014-2015 Gaston College Catalog [THIS CATALOG IS OUT-OF-DATE. USE THE CURRENT CATALOG TO FIND CURRENT PROGRAMS.]

DMA 065 Algebra for Precalculus (2 Credit Hours)

Class Hours: 1.5
Lab Hours: 1
Clinical/Work Experience Hours: 0
Prerequisites: DMA 010, DMA 020, DMA 030, DMA 040, and DMA 050
Corequisites: None
This course provides a study of problems involving algebraic representations of quadratic, rational, and radical equations. Topics include simplifying polynomial, rational, and radical expressions and solving quadratic, rational, and radical equations. Upon completion, students should be able to find algebraic solutions to contextual problems with quadratic and rational applications.

Competencies

·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