Discipline: Mathematics Degree Credit  [X]
Non Credit  [ ]
Nondegree Credit  [ ]
Comm Service  [ ]
 

Riverside Community College District
Integrated Course Outline of Record

Mathematics 64


COURSE DESCRIPTION
64 Pre-Algebra Units: 3.00
 
Prerequisite(s): MAT 63: Arithmetic or MAT 90C: Special Topics: Decimals
An introduction to the notion of algebra and its uses. Includes integers, equations, and polynomials as well as topics from arithmetic. Designed as a transition from arithmetic to elementary algebra. 54 hours lecture. (Non-degree credit course.)
 
SHORT DESCRIPTION FOR CLASS SCHEDULE
This course is designed as a transition from arithmetic to elementary algebra.
 
ADVISORY ENTRY SKILLS
Before entering the course, students will be able to:
  1. This course is designed as a transition from arithmetic to elementary algebra.

  2. Perform long division on whole numbers.

  3. Apply the fundamental laws of arithmetic on fractions, mixed numbers, and decimals.

  4. Apply percents to real world problems.

  5. Communicate mathematical concepts using the symbols and vocabulary of arithmetic.
STUDENT LEARNING OUTCOMES
 Upon successful completion of the course, students should be able to:

1.  Apply the four basic operations to integers and rational numbers.

2.  Apply the fundamental laws of algebra to simplify basic algebraic expressions.

3.  Perform the four basic operations on polynomial expressions.

4.  Solve linear equations.

5.  Derive and solve basic linear equations from elementary applications.

6.  Use the symbols and vocabulary of pre-algebra to communicate mathematical concepts.
   
 
COURSE CONTENT
  TOPICS
 
  1. Introduction to the real number system:  natural numbers, whole numbers, integers, and rational numbers
  2. Introductions to the four basic operations
    a.   Adding, subtracting, multiplying and dividing integers and rational numbers
  3. Elements of Algebra
    a.   Rules of exponents
    b.   Adding, subtracting, multiplying polynomials
    c.   Dividing monomials and polynomials by monomials
    d.   Factoring out the Greatest Common Factor
  4. Solving linear equations
  5. Applications
    a.   Percents, Simple interest, Area and Perimeter
  6. Translating expressions and equations into algebraic symbols

 
 
METHODS OF INSTRUCTION
 Methods of instruction used to achieve student learning outcomes may include, but are not limited to:

  • Class lectures, discussions, and demonstrations of the fundamental laws of algebra, the four basic operations as applied to integers, rational numbers, and polynomial expressions employing correctly the symbols and vocabulary of pre-algebra. Derivations/solutions of linear word problems in order to demonstrate technique to the student and to provide a mathematical context for the material. Delivery of content may take place in an on-line/distance education setting.
  • Drills and pattern practices utilizing hand-outs and/or computer-based tools in order to assist the students in mastering the techniques involved in applying the fundamental laws of algebra, the four basic mathematical operations on integers, rational numbers, and polynomial expressions as well as problem solving using linear equations.
  • Provision and employment of a variety of learning resources such as videos, slides, audio tapes, computer-based tools, manipulatives, and worksheets in order to address multiple learning styles and to reinforce material.
  • Pair and small group activities, discussions, and exercises in order to promote mathematics discovery and enhance problem solving skills.

 
 
METHODS OF EVALUATION
 Students will be evaluated for progress in and/or mastery of learning outcomes by methods of evaluation which may include, but are not limited to:

  • Evaluation of written homework assignments and/or computerized homework assignments for correct application of the fundamental algebraic laws employing correctly the symbols and vocabulary of pre-algebra.
  • Evaluation of quizzes and midterm/final examinations for conceptual understanding as well as correct technique and application of the laws of algebra, the four basic mathematical operations as applied to integers, rational numbers, and polynomial expressions, and the applications of linear equations.
  • Assessment of classroom discovery activities for content knowledge and conceptual understanding.
ASSIGNMENTS

Required Reading Assignments


Required Writing Assignments


Other Outside-of-Class Assignments
 
COURSE MATERIALS
 All materials used in this course will be periodically reviewed to ensure that they are appropriate for college level instruction. Possible texts include:

  • Streeter, Hutchison, Bergman. Pre-Algebra: An Integrated Equations Approach. McGraw Hill, 2003.
  • Lial, Hestwood, Hornsby. Prealgebra and Introductory Algebra. Addison-Wesley Publishing Company, 2001.
  • Prior, Robert H. . Pre-Algebra: A Preparation for Algebra. -, 2001.
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