10-804-106Introduction to College Mathematics
Course Information
Description
This is an introductory level course designed to review and develop fundamental concepts of arithmetic, algebra, geometry, and statistics. Emphasis will be placed on computational skills and applications of rational numbers; problem solving skills with ratios, proportions, and percent; basic principles and application of algebra, geometry, graphing, and statistics; measurement skills in U.S. Customary and Metric Systems; and the use of calculators as a tool.
Total Credits
3

Course Competencies
  1. Apply arithmetic concepts, mathematical symbols, and rational number operations to problem solving situations
    Assessment Strategies
    given written assignments and calculator
    given a written exam
    Criteria
    you perform operations with rational numbers with a minimum of 75% accuracy without a calculator and 90% accuracy with a calculator.
    you perform the order of operations correctly
    you choose correct operation to use in solving applied problems and then solve the problem correctly

  2. Simplify algebraic expressions
    Assessment Strategies
    given written assignments and calculator
    given a written exam
    Criteria
    you perform operations on integers with a minimum of 75% accuracy without a calculator and 90% accuracy with a calculator.
    you simplify expressions using the order of operations correctly
    you solve applied problems correctly

  3. Solve equations and inequalities
    Assessment Strategies
    given written assignments and calculator
    given a written exam
    working in groups
    Criteria
    you solve equations in one variable correctly
    you manipulate formulas and solve literal equations correctly
    you solve applied problems correctly
    you solve and graph linear inequalities correctly

  4. Solve applied percent problems
    Assessment Strategies
    given written assignments and calculator
    given a written exam
    working in groups
    given a project to research and report
    Criteria
    you solve ratio and proportion problems correctly
    you solve percent problems correctly
    you solve financial problems (interest, finance charge, sale prices, credit transactions, etc.) involving percent correctly

  5. Apply geometric definitions and formulas to problems
    Assessment Strategies
    given written assignments and calculator
    given a written exam
    working in groups
    Criteria
    you find missing parts of geometric figures correctly
    you recognize examples of translations, rotations, dilations, and contractions
    you use trigonometric ratios and the Pythagorean theorem to solve right triangles correctly

  6. Use measurement (both US Customary and Metric) concepts to solve problems
    Assessment Strategies
    given written assignments and calculator
    given a written exam
    working in groups
    Criteria
    you find perimeters of figures
    you find areas of given figures
    you find volumes of right prisms correctly
    you convert measurements within the metric system correctly
    you convert measurements within the US customary system correctly

  7. Analyze data
    Assessment Strategies
    given written assignments and calculator
    given a written exam
    working in groups
    given an experiment to complete
    Criteria
    you organize data correctly using frequency distributions or stem and leaf plots
    you correctly find measures of central tendency (mean, median, mode) for data sets
    you correctly find measures of dispersion (range, variance, standard deviation) for given data sets
    you construct, read, and interpret graphs correctly

  8. Graph equations and inequalities in two variables
    Assessment Strategies
    working in groups
    given written assignments and calculator
    given a written exam
    Criteria
    you correctly graph first degree equations in two variables
    you correctly graph equations that are not linear (quadratic, exponential)
    you solve applied problems by graphing

  9. Solve problems involving probabilities
    Assessment Strategies
    given written assignments and calculator
    given a written exam
    working in groups
    given experiments to perform
    Criteria
    you correctly find probabilities in a variety of situations