10-804-107College Mathematics
Course Information
Description
This course reviews key math concepts in algebra, geometry, trigonometry, measurement, and data. Topics include simplifying algebraic expressions, solving linear equations and inequalities with one variable, proportions, and percent applications, and working with geometric figures. It covers the Pythagorean Theorem, trigonometric ratios, and unit conversions between U.S. customary and metric systems. Data analysis focuses on organizing and summarizing data, central tendency, and measures of dispersion. Emphasis is on problem-solving, critical thinking, and logical reasoning.
Total Credits
3
Course Competencies
  1. Simplify algebraic expressions
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    perform operations on rational numbers
    simplify expression using the order of operations
    solve applied problems

  2. Solve equations and inequalities
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    solve equations in one variable
    manipulate formulas and solve literal equations
    solve applied problems
    solve linear inequalities in one variable
    solve a system of equations by algebraic methods

  3. Solve proportion and percent applications
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    use ratios in real-world applications
    solve proportions
    solve problems involving percent

  4. Apply geometric concepts
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    find perimeter of plane figures including composites
    find area of plane figures including composites
    find volume of geometric solids including composites
    find surface area of geometric solids including composites

  5. Apply trigonometric concepts
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    solve problems involving similar triangles
    solve for the unknown side of a right triangle using the Pythagorean Theorem
    solve for an unknown side of a right triangle using trigonometric ratios
    solve for an unknown angle in a right triangle using trigonometric ratios

  6. Use measurement concepts (both U.S. customary and metric) to solve problems
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    convert measurements within the metric system
    convert measurements within the U.S. customary system
    convert between U.S. and metric systems
    convert area and volume measurements
    express measurements with correct precision and accuracy
    estimate conversions without a calculator

  7. Summarize data
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    organize data using grouped and ungrouped frequency distributions
    find measures of central tendency for data sets
    find measures of relative position for data sets
    find measures of dispersion for data sets