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 course 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
Topical Outline
- Review fractions
- Venn diagrams
- Graphing points and interpreting line graphs
- Ratios and proportions (scaling)
- Experimental probability
- Mean
- Making and interpreting pie and bar graphs
- Scatterplots
- Converting units
- Percent change
- Algebraic terminology
- Arithmetic and geometric sequences
- Linear and exponential change
- Perimeter and area
- Weighted means
- Exponent rules
- Adding polynomials
- Order of operations
- Commutative, associative and distributive properties
- Simplifying algebraic expressions
- Using operations correctly
- Verifying solutions
- Solving applications numerically and algebraically
- Solving linear equations
- Solving proportions (cross products)
- Pythagorean Theorem
- Theoretical probability
- Volume and surface area
- Linear correlation and trendlines
- Slope and rate of change
- Slope-intercept form of linear equations
- Linear relationships
- Writing linear equations
- Exponential functions
- Solving non-linear equations
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.