MATH 095 - Liberal Arts Intermediate Algebra

1. Recognize functional relationships presented in words, tables, graphs, and symbols. [REASON]
2. Represent linear, exponential, and quadratic functions and piecewise-defined functions using words, tables, graphs, or symbols. [REASON]
3. Model relationships using linear, exponential, and quadratic functions and piecewise-defined functions. [REASON]
4. Analyze a situation and describe the problem(s) to be solved. [REASON]
5. Formulate a plan for solving the problem. [REASON]
6. Use logical reasoning and mathematical knowledge to obtain and justify correct solutions. [REASON]
7. Summarize and interpret mathematical information which may be in oral or written formats. [REASON]
8. Use symbols, diagrams, graphs, and words to clearly communicate mathematical ideas, reasoning, and their implications. [COMMUNICATE]
9. Produce mathematically valid oral, written, and/or symbolic arguments to support a position or conclusion, using both mathematical and everyday language. [COMMUNICATE]
10. Use mathematical ideas and strategies to analyze relationships within mathematics and in other disciplines and real life situations. [REASON]
11. Transfer mathematical vocabulary and concepts to other disciplinary contexts and the real world. [COMMUNICATE]
12. Make connections by using multiple representations, e.g., analytic, numeric, and graphic. [REASON]
13. Construct mathematical models from word problems and applications. [REASON]
14. Accurately and efficiently perform computations with real numbers in all forms, including rational exponents (focus on square and cube roots) and scientific notation. [REASON]
15. Apply estimation strategies using real numbers. [REASON]
16. Develop and evaluate the suitability of linear models for a data set. [REASON]
17. Recognize and use appropriate concepts, procedures, definitions, and properties to simplify expressions and solve equations. [REASON]
18. Combine and simplify algebraic expressions that contain polynomials, rational expressions, radicals, or rational exponents. [REASON]
19. Solve various types of equations and inequalities numerically, graphically, and algebraically; interpret solutions algebraically and in the context of the problem; distinguish between exact and approximate answers. [REASON]