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.
Repeatable for Credit
Yes
Repeatable Times
Developmental- Repeat 2 Times
Justification for Repeatability
-
Prerequisite(s)
MATH 0974 with a grade of C or better or appropriate assessment score
Topical Outline
- Review fractions and percents
- Venn diagrams
- Graphing points
- Ratios and proportions (scaling)
- Experimental probability
- Integers
- Operations with Integers
- Mean
- Pie, bar and line 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 linear equations
- Writing and solving equations
- Proportions (cross products)
- Pythagorean Theorem
- Theoretical probability
- Volume and surface area
- Correlation
- Trendlines
- Slope
- Linear relationships
- Slope-intercept form
- Writing linear functions
- Exponential functions
- Solving non-linear equations
- Factoring
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.