10804107College Mathematics
Course Information
Description
This course is designed to review and develop fundamental concepts of mathematics in the areas of algebra, geometry, trigonometry, measurement and data. Algebra topics emphasize simplifying algebraic expressions, solving linear equations and inequalities with one variable, solving proportions and percent applications. Geometry and trigonometry topics include; finding areas and volumes of geometric figures, applying similar and congruent triangles, applying Pythagorean Theorem, and solving right triangles using trigonometric ratios. Measurement topics emphasize the application of measurement concepts and conversion techniques within and between U.S. customary and metric system to solve problems. Data topics emphasize data organization and summarization skills, including: frequency distributions, central tendency, relative position and measures of dispersion. Special emphasis is placed on problem solving, critical thinking and logical reasoning, making connections, and using calculators.
Total Credits
3
Prior Learning Assessment
  • Exam-College Developed Challenge Exam
Course Competencies
  1. Simplify algebraic expressions
    Assessment Strategies
    by simplifying algebraic expression problems
    given written problems and calculator
    Criteria
    you perform operations on rational numbers
    you simplify expression using the order of operations
    you solve applied problems
    your solution is correct
    your solution includes correct units
    you show supporting work
    your work is clear and organized

  2. Solve equations and inequalities
    Assessment Strategies
    by solving equation and inequalities problems
    given written problems and calculator
    Criteria
    you solve equations in one variable
    you manipulate formulas and solve literal equations
    you solve applied problems
    you solve linear inequalities in one variable
    you solve a system of equations by algebraic methods
    your solution is correct
    your solution includes correct units
    you show supporting work
    your work is clear and organized

  3. Solve ratio and proportion applications
    Assessment Strategies
    by solving ratio and proportion application problems
    given written problems and calculator
    Criteria
    you solve ratios and proportions
    you solve for missing quantities in percent problems
    you solve financial problems involving percent (interest, finance charges, sale prices, credit transactions, etc.)
    your solution is correct
    your solution includes correct units
    you show supporting work
    your work is clear and organized

  4. Apply geometric concepts
    Assessment Strategies
    by applying geometric concepts to solve problems
    given written problems and calculator
    Criteria
    you find perimeter of plane figures including composites (having more than one basic shape)
    you find area of plane figures including composites
    you find volume and surface area of geometric solids including composites
    you solve problems involving similar and congruent triangles
    you use the Pythagorean Theorem to solve for the unknown side of a right triangle
    you solve right triangles using trigonometric ratios
    you approximate solutions without a calculator
    your solution is correct
    your solution includes correct units
    you show supporting work
    your work is clear and organized

  5. Use measurement concepts (both U.S. customary and metric) to solve problems
    Assessment Strategies
    by solving measurement problems
    given written problems and calculator
    Criteria
    you convert measurements within the metric system
    you convert measurements within the U.S. customary system
    you convert between U.S. and metric systems
    you convert area and volume measurements
    you express measurements with correct precision and accuracy
    you estimate conversions without a calculator
    your solution is correct
    your solution includes correct units
    you show supporting work
    your work is clear and organized

  6. Summarize data
    Assessment Strategies
    by organizing data and summarizing results
    given data sets
    given written problems and calculator
    Criteria
    you organize data using grouped and ungrouped frequency distributions
    you find measures of central tendency (mean, median, mode, mid-range) for data sets
    you find measures of relative position (quartiles, percentiles)
    you find measures of dispersion (range, variance, standard deviation, inter-quartile range) for given data sets your solution is correct
    your solution includes correct units
    you show supporting work
    your work is clear and organized