Course Description
This course is designed to be an alternative developmental mathematics path for non-STEM majors who plan to take general education mathematics and/or general education statistics. Topics in this course are presented in context and focus on numeracy, proportional reasoning, algebraic reasoning and functions. In addition to algebra topics, this courses promotes developing mathematical reasoning through problem solving, critical thinking, data analysis, and the writing and communication of mathematics.
Prerequisite(s)
MATH 0974 with a grade of C or better or appropriate assessment score - Must be completed prior to taking this course.
Repeatable for Credit
Yes
Repeatable Times
Developmental- Repeat 2 Times
At the end of this course, students will be able to:
- Perform operations with real numbers in a variety of contexts.
- Apply basic math skills (such as percentages, decimals, and fractions) as required in all applications.
- Apply the order of operations to simplify algebraic expressions involving exponents and real numbers.
- Evaluate formulas, algebraic expressions, and functions.
- Model situations with linear, quadratic and exponential functions.
- Find and interpret the concept of slope in a variety of contexts.
- Estimate and check answers to mathematical problems in order to determine reasonableness and identify alternatives.
- Convert units of measurement.
- Write algebraic expressions and equations to represent real-life scenarios.
- Describe data using measures of central tendency, measures of dispersion and measures of position.
- Create and interpret a variety of statistical displays in an applied context.
- Solve problems related to perimeter, area, and volume.
- Develop rational functions in a variety of contexts.
- Apply and interpret theoretical and experimental probability for simple events.
- Factor polynomials using the greatest common factor.
- Solve 2 x 2 linear system of equations.
Topical Outline
1. Review fractions and percents
2. Venn diagrams
3. Graphing points
4. Ratios and proportions (scaling)
5. Experimental probability
6. Integers
7. Operations with Integers
8. Mean
9. Pie, bar and line graphs
10. Scatterplots
11. Converting units
12. Percent change
13. Algebraic terminology
14. Arithmetic and geometric sequences
15. Linear and exponential change
16. Perimeter and area
17. Weighted means
18. Exponent rules
19. Adding polynomials
20. Order of operations
21. Commutative, associative and distributive properties
22. Simplifying algebraic expressions
23. Using operations correctly
24. Verifying solutions
25. Solving linear equations
26. Writing and solving equations
27. Proportions (cross products)
28. Pythagorean Theorem
29. Theoretical probability
30. Volume and surface area
31. Correlation
32. Trendlines
33. Slope
34. Linear relationships
35. Slope-intercept form
36. Writing linear functions
37. Exponential functions
38. Solving non-linear equations
39. Factoring