MAT-093 Objectives

MAT-093 Foundations of Mathematics

Course Description

Topics include solving applied problems with whole numbers, decimals and fractions; ratios and proportions; rates; percentages and applications in sales tax, interest, commissions, and discounts; determining numerical averages; exponents and square roots; measurement; and geometry. Technology is incorporated to facilitate problem solving. This course does not satisfy degree requirements. Course requires an additional lab hour. Upon completion of this course with a grade of C or better, students enroll in MAT-097 Foundations of Algebra. Credit hours: 3.0.

Learning Outcomes

  1. Solve real world applications involving whole numbers, fractions, and decimals
  2. Understand what fractions represent quantitatively
  3. Understand equivalencies between fractions, decimals, and percents
  4. Apply the concepts of ratio and proportion
  5. Apply the concept of percent to applications such as percent increase/decrease, discount, interest, commission, and sales tax.
  6. Apply the concepts of perimeter, area, and volume to basic geometric figures
  7. Find and interpret the mean of a distribution of numbers

Instructional Objectives


  1. Round whole numbers
  2. Solve word problems involving operations with whole numbers (with emphasis on geometry applications)
  3. Calculate powers of whole numbers and simplify expressions with exponents
  4. Compute square roots of perfect squares
  5. Perform computations according to the convention on order of operations
  6. Order whole numbers using the symbols =, < and >
  7. Identify factors and multiples of whole numbers
  8. Define and identify prime and composite numbers
  9. Express a whole number as a product of its prime factors


  10. Identify and interpret: fraction, numerator, denominator, proper fraction, improper fraction, and mixed numbers
  11. Express improper fractions as mixed numbers
  12. Express mixed numbers as improper fractions
  13. Write fractions in simplest form
  14. Identify and find equivalent fractions
  15. Multiply and divide fractions and mixed numbers
  16. Add and subtract fractions and mixed numbers
  17. Simplify fraction expressions including complex fractions
  18. Compare the size of fractions using =, < and >
  19. Solve word problems involving fractions and mixed numbers


  20. Identify decimal place values
  21. Round decimal numbers
  22. Compare the size of decimals using the symbols =, < and >
  23. Add, subtract, multiply and divide decimal numbers
  24. Solve word problems involving decimals
  25. Convert fractions to decimals and decimals to fractions


  26. Express percent numbers as fractions and decimals
  27. Express decimals and fractions as percent numbers
  28. Find the amount when given percent and base
  29. Find the percent when given base and amount
  30. Find the base when given the percent and amount
  31. Solve applied problems involving sales tax, interest, commissions, and discounts


  32. Set up and simplify ratios and rates
  33. Set up and solve proportions
  34. Solve word problems involving proportions


  35. Solve problems involving measurements and geometry