Last Updated On: 6/6/07

El Camino College - Division of Mathematical Sciences

Math 12
Basic Arithmetic Skills
4 units; 4 hours lecture

Catalog Description Course Objectives and Methods of Evaluation
Outline of Subject Matter Planned Instructional Activities
 

Grading Method: Letter

Non-Degree Credit --- Does not transfer to CSU and Does not transfer to UC

No Prerequisite

Catalog Description:
    This introductory arithmetic course is designed to develop number and operation sense using whole numbers, fractions, and percents, as well as develop problem-solving skills. Topics include writing whole numbers and decimals in various forms, estimation, ratios, proportions, and applications.
Note: Students enrolled in this course are required to participate in individual and group activities.

Course Objectives and Methods of Evaluation:

  1. Course objectives (list the major objectives stated as student outcomes in behaviorally measurable terms.)
    1. Read and write whole numbers and decimal numbers in standard, expanded, and written form.
    2. Order a given set of numbers.
    3. Use the order of operations to add, subtract, multiply and exponentiate whole numbers, fractions and decimals.
    4. Use rounding techniques to estimate results of operations on whole numbers, fractions and decimals.
    5. Use divisibility tests and prime factorization to reduce fractions to lowest terms and perform operations on fractions.
    6. Convert rational numbers into decimals, fractions and percentages.
    7. Solve various application problems requiring the use of ratios, proportions, and percentages.
  1. Methods of Evaluation - Non-Degree Credit Course
    1. Problem solving demonstrations (computational or non-computational), Exams; quizzes; homework problems; and individual and group activities.

Outline of Subject Matter

Approximate Time
 Major Topic
12 hours
 I. Whole numbers
  1. Place value system including expressing whole numbers in standard, expanded, and written form
  2. Addition of whole numbers
  3. Subtraction of whole numbers
  4. Multiplication of whole numbers
  5. Division of whole numbers
  6. Rounding and estimation of whole numbers
  7. Powers and order of operations, and ordering of whole numbers
  8. Applications of whole numbers
20 hours
 II. Fractions
  1. Divisibility tests of whole numbers
  2. Prime factorization of whole numbers
  3. Greatest common factor of whole numbers
  4. Converting between mixed numbers and improper fractions
  5. Simplifying fractions
  6. Multiplication of fractions
  7. Division of fractions
  8. Least common multiple of whole numbers
  9. Powers, order of operations, and ordering of fractions
  10. Addition and subtraction of fractions
  11. Rounding and estimation of fractions
  12. Applications of fractions

 12 hours

 III. Decimals
  1. Place value system including expressing decimals in standard and written forms
  2. Addition, subtractions, multiplication and division of decimals 
  3. Rounding and estimation of decimals
  4. Powers, order of operations and ordering of decimals
  5. Converting between decimals and fractions
  6. Applications

 20 hours

 IV. Ratios, proportions and percents 
  1. Writing ratios and unit rates
  2. Solving proportions
  3. Conversions among percentages, fractions and decimals
  4. Solving percent problems of the type A = RB where A is the amount, R is the rate and B is the base
  5. Applications
4 hours
 V. Examinations
Total:
 72 hours

Planned Instructional Activities:

Lecture, discussion, individual and group activities

Return to the top of the page.

Source of information: Course Outline of Record dated September, 2006