Course Outline for Mathematics 103
Basic Mathematics

Effective: Fall 2023
SLO Rev:

Catalog Description:

MTH 103 - Basic Mathematics

3.00 Units

Fundamental concepts in arithmetic, including fractions, decimals, ratios, proportions, percents, measurement, and geometric formulas.
CB03: TOP Code 1701.00 - Mathematics, General
CIP Code 27.0101 - Mathematics, General.
Course Grading: Optional
Type Units Inside of Class Hours Outside of Class Hours Total Student Learning Hours
Lecture 3.00 54.00 108.00 162.00
Laboratory 0.00 18.00 0.00 18.00
Total 3.00 72.00 108.00 180.00

Measurable Objectives:

Upon completion of this course, the student should be able to:
  1. perform computations with whole numbers, fractions, mixed numerals, decimals, and percents without a calculator;
  2. read and write whole numbers and decimals;
  3. round numbers to the appropriate place value;
  4. estimate an answer;
  5. build and simplify fractions;
  6. convert between decimals, percents, and fraction representations;
  7. convert between mixed numerals and improper fractions;
  8. determine the prime factorization of a natural number;
  9. evaluate exponential expressions with natural number exponents;
  10. apply the associative and commutative laws;
  11. solve basic percent problems;
  12. solve problems using ratios, rates. proportions and percents;
  13. graph rational numbers on a number line;
  14. classify an angle as an acute, obtuse or right angle;
  15. recognize basic geometric figures;
  16. find the areas and perimeters of basic polygonal figures.

Course Content:

Course Content (Lecture):

  1. Whole Numbers
    1. Place Values
    2. Writing and reading
    3. Adding, subtracting, multiplying and dividing
    4. Rounding
    5. Estimating
    6. Exponents
    7. Graphing on a number line
    8. Applications
  2. Commutative and Associative Laws
  3. Prime Factorization
  4. Fractions
    1. Proper and improper
    2. Using prime factoring to build equivalent fractions
    3. Simplifying fractions
    4. Adding, subtracting, multiplying, and dividing
    5. Graphing on a number line
    6. Applications
  5. Mixed Numerals
    1. Converting between mixed numerals and improper fractions
    2. Adding, subtracting, multiplying, and dividing
    3. Applications
  6. Decimals
    1. Place values
    2. Writing and reading
    3. Adding, subtracting, multiplying and dividing
    4. Rounding
    5. Graphing on a number line
    6. Converting between decimals and fractions
    7. Terminating and repeating decimals
    8. Applications
  7. Ratios, Rates and Proportions
    1. Interpreting rates, ratios, and proportions
    2. Solving proportions
    3. Applications
  8. Percents
    1. Solving basic percent problems
    2. Converting between percents and decimals
    3. Converting between percents and fractions
    4. Applications
  9. Measurement  
    1. U.S. Standard measuring system
    2. Metric measuring system
  10. Geometry
    1. Rectangle, square, parallelogram, triangle, trapezoid
    2. Angles
    3. Area and perimeter

Course Content (laboratory):

  1. Laboratory activities may include, but not limited to, computer programs, problem sessions, and  collaboratives, reinforcing course content from the lecture or study skills.

Methods of Instruction:

  1. Lecture/Discussion

Assignments and Methods of Evaluating Student Progress:

1. Typical Assignments
  1. A person has a yearly income of $23,256. What is the person’s monthly income?
  2. If four friends shared a restaurant bill of $88.84 equally and add a 20% tip. How much was each person's share?
  3. How much larger in area is a 14 in by 14 in square than a 14 in diameter circle?
2. Methods of Evaluating Student Progress
  1. Exams/Tests
  2. Quizzes
  3. Home Work
  4. Collaboratives
  5. Final Examination
3. Student Learning Outcomes
Upon the completion of this course, the student should be able to:
  1. Critically analyze mathematical problems using a logical methodology.
  2. Communicate mathematical ideas, understand definitions, and interpret concepts.
  3. Increase confidence in understanding mathematical concepts, communicating ideas and thinking analytically.

Textbooks (Typical):

  1. Moon, R (2011). Basic Arithmetic (5). BVT Publishing.