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 course promotes developing mathematical reasoning through problem solving, critical thinking, data analysis, and the writing and communication of mathematics.
MATH 0974 with a grade of C or better or appropriate assessment score - Must be completed prior to taking this course.
At the end of this course, students will be able to:
- Apply basic math skills (such as percentages, decimals, and fractions) as required in all applications.
- Apply the order of operations and properties to simplify numeric expressions and algebraic expressions involving exponents and real numbers.
- Model situations with linear and exponential functions.
- Find and interpret the concept of slope in a variety of contexts.
- Convert units of measurement.
- Write algebraic expressions and equations to generalize patterns and represent real-life scenarios.
- Describe data using measures of central tendency.
- Create and interpret a variety of statistical displays and graphs in an applied context.
- Solve problems related to perimeter, area, and volume.
- Solve problems involving ratios, rates, and proportions.
- Apply and interpret theoretical and experimental probability for simple events.
1. Review fractions
2. Venn diagrams
3. Graphing points and interpreting line graphs
4. Ratios and proportions (scaling)
5. Experimental probability
6. Mean
7. Making and interpreting pie and bar graphs
8. Scatterplots
9. Converting units
10. Percent change
11. Algebraic terminology
12. Arithmetic and geometric sequences
13. Linear and exponential change
14. Perimeter and area
15. Weighted means
16. Exponent rules
17. Adding polynomials
18. Order of operations
19. Commutative, associative and distributive properties
20. Simplifying algebraic expressions
21. Using operations correctly
22. Verifying solutions
23. Solving applications numerically and algebraically
24. Solving linear equations
25. Solving proportions (cross products)
26. Pythagorean Theorem
27. Theoretical probability
28. Volume and surface area
29. Linear correlation and trendlines
30. Slope and rate of change
31. Slope-intercept form of linear equations
32. Linear relationships
33. Writing linear equations
34. Exponential functions
35. Solving non-linear equations