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

Riverside Community College District
Integrated Course Outline of Record

Mathematics 65


COURSE DESCRIPTION
65 Arithmetic & Pre-Algebra Units: 5.00
 
Prerequisite: None.
 
A combination course covering the decimal system of numeration and the four basic mathematical operations as they apply to whole numbers, fractions, mixed numbers, and decimals without the use of any calculating device. Integers, factoring, geometric figures, and measurements are included. Emphasis is placed on applications to real world problems. An introduction to the notion of algebra and its uses. Includes equations and polynomials. 90 hours lecture. (Non-degree credit course.)
 
SHORT DESCRIPTION FOR CLASS SCHEDULE
Study of the four basic operations applied to whole numbers, integers, fractions, mixed numbers, and decimals, to include applications to real world problems along with an introduction to the notion of algebra and its uses.
 
ADVISORY ENTRY SKILLS
None.

STUDENT LEARNING OUTCOMES
 Upon successful completion of the course, students should be able to:

1.  Apply the fundamental laws of arithmetic on whole numbers, fractions, mixed numbers, and decimals without the use of any calculating device.

2.  Apply the fundamental laws of arithmetic on integers and rational numbers.

3.  Solve applications using whole numbers, integers, fractions, mixed numbers, ratios and proportions, and decimals.

4.  Apply percents to real world problems.

5.  Convert the fundamental units of measurement within and between the U.S. and metric systems.

6.  Apply the fundamental laws of algebra to simplify basic algebraic expressions and perform the four basic operations on polynomial expressions.

7.  Solve linear equations and derive basic linear equations from elementary applications.

8.  Use the symbols and vocabulary of arithmetic and pre-algebra to communicate mathematical concepts.
  
 
COURSE CONTENT
  TOPICS
 
  1. Integers, fractions, mixed numbers, and decimals
  2. The four basic operations applied to integers, fractions, mixed numbers and decimals.
  3. Problem solving using integers, fractions, mixed numbers and decimals.
  4. Percent and interest rate
    Fundamental units of measurement their conversions within and
  5. between the U.S. and metric systems.
  6. Ratio and proportion
  7. 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
  8. Solving linear equations
  9. Applications
  10. Percents, Simple interest, Area and Perimeter
  11. 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 arithmetic and algebra and their applications to real world problems, the four basic operations as applied to whole numbers, integers, fractions, mixed numbers, and decimals as well as polynomial expressions, the use of percents, ratios, proportions and the conversion of measurements employing correctly the symbols and vocabulary of arithmetic and pre-algebra. Derivations and solutions of linear word problems in order to model mathematical procedures and provide a context for the mathematics to the students.
  • 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 arithmetic and algebra, the four basic operations as applied to whole numbers, integers, fractions, mixed numbers, and decimals as well as polynomial expressions, using percents, converting measurements, and deriving and solving linear problems.
  • 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 arithmetic and algebraic laws as well as the correct and appropriate usage of mathematical vocabulary and symbols.
  • Evaluation of quizzes and midterm/final examinations for conceptual understanding as well as correct technique and application of the laws of arithmetic and algebra, the correct application of the four basic mathematical operations on numbers as well as polynomial expressions, the use of percents, the conversion of measurements, and the derivation/solution 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:

  • Aufmann, Barker, Lockwood. Basic College Mathematics – An Applied Approach . 8th ed. Houghton Mifflin Company , 2006.
  • Bittinger, Marvin L. and Judith A. Beecher. Developmental Mathematics. 5th ed. Addison–Wesley Publishing Company, 2000.
  • MathXL software. Addison-Wesley Publishing Company, 2001 ed.
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