El Camino College - Division of Mathematical Sciences

Math 25
Pre-Algebra Review
2 units; 2 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

Prerequisite: Mathematics 10B with a minimum grade of C or qualification by testing (El Camino College Mathematics Placement Test) and assessment.

Catalog Description:
This course is a review of pre-algebra and meets the needs of students who have previous pre-algebra experience. Topics include the arithmetic operations of addition, subtraction, multiplication, division and exponentiation on the sets of natural numbers, integers, and rational numbers. Knowledge of these operations is extended to evaluate and simplify algebraic expressions as well as to solve linear equations, and application problems.
Note: Mathematics 25 was formerly named Mathematics PA.

 Course Objectives and Methods of Evaluation:

  1. Course objectives (list the major objectives stated as student outcomes in behaviorally measurable terms.)
    1. Perform the operations of addition, subtraction, multiplication, division, and exponentiation on different sets of numbers (whole, integer, and rational).
    2. Solve application problems including proportions.
    3. Estimate to determine the reasonableness of results.
    4. Recognize the differences between simplifying expressions, evaluating formulas, and solving equations.
    5. Simplify algebraic expressions, evaluate formulas and solve linear equations.
    6. Demonstrate spatial reasoning by finding perimeters, areas and volume of various geometrical shapes.
  1. Methods of  Evaluation - Non-degree Credit Course
    1. Computational or non-computational problem solving demonstrations, including:
      1. Exam
      2. Quizzes
      3. Homework problems

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Outline of Subject Matter
 

Approximate Time

Major Topic

4 hours

I. Integers:

  1. Operations on signed numbers
  2. Order of operations
  3. Introduction to algebraic expressions
  4. Applications interspersed

8 hours

II. Equation Solving with Integers:

  1. Simple linear equations: informal methods
  2. Simple linear equations: formal methods
  3. Properties (ex: distributive, equality)
  4. Like terms
  5. Linear equations (with more than 1 operation)
  6. Applications interspersed

8 hours

III. Equation Solving with common fractions and decimal fractions:

  1. Equivalent Forms (1/5 = .2, .5 < .52, etc.)
  2. Equations: Formal and informal methods
  3. Applications interspersed

8 hours

IV.  Ratio, proportion and percent:

  1. Ratio
  2. Proportion
  3. Percent
  4. Equivalent Forms (150% - 1.5, .5% < .01, etc.)
  5. Solving equations
  6. Applications interspersed

4 hours

V. Geometry and Measurement

  1. Dimensional Analysis (e.g. analyzing one dimension vs two or three dimensions)
  2. Formulas (area, perimeter, volume, surface area)
  3. Applications

  4 hours

Examinations

Total:

36 Hours

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Planned Instructional Activities:

Lecture, discussion and individual assistance

Entrance Skills and Knowledge:

List the required skills and/or knowledge without which a student would be highly unlikely to receive a grade of A, B, C, or Credit (or for Health and Safety, would endanger self or others) in the Target Course.

  1. Add, subtract, multiply, divide, and calculate powers of decimals using the order of operations
  2. Perform conversions among decimals, fractions, and percentages
  3. Solve proportions

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Source of information: Course Outline of Record dated November, 2001



 Last Updated On: 4/20/06