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

Riverside Community College District
Integrated Course Outline of Record

Mathematics 90E


COURSE DESCRIPTION
90E Real Numbers, Intro Algebra Units: 1.00
 
Prerequisite(s): MAT 90D: Special Topics: Integers & Intro to Variables
A course covering the four basic mathematical operations as they apply to real numbers and an introduction to algebraic expressions. Emphasis is placed on applications to real world problems. 18 hours lecture. (Non-degree credit course. Pass/No Pass only.)
 
SHORT DESCRIPTION FOR CLASS SCHEDULE
A course designed for students who wish an introduction to, or reinforcement in, basic mathematical concepts and applications involving real numbers, proportions and percents.
 
ADVISORY ENTRY SKILLS
Before entering the course, students will be able to:
  1. Add, subtract, multiply and divide integers, fractions, mixed numbers and decimals.

  2. Evaluate integer expressions using the order of operations.

  3. Solve applications involving integers.

  4. Solve equations involving integers.

  5. Evaluate algebraic expressions with integers.

  6. Simplify algebraic expressions involving integers.
STUDENT LEARNING OUTCOMES
 Upon successful completion of the course, students should be able to:

1.  Add, subtract, multiply and divide real numbers.

2.  Evaluate real number expressions using the order of operations.

3.  Solve equations involving real numbers.

4.  Evaluate algebraic expressions with real numbers.

5.  Simplify algebraic expressions involving real numbers.

6.  Solve proportions involving real numbers.

7.  Convert between percentages, fractions, and decimals.

8.  Solve applications involving percents, area and perimeter, and number problems.
 
COURSE CONTENT
  TOPICS
 
  1. Real numbers – sets, properties, absolute value
  2. Add, subtract, multiply and divide real numbers
  3. Order of operations with real numbers
  4. Equations involving real numbers
  5. Algebraic expressions – evaluate, like terms, distributive property
  6. Create and simplify proportions
  7. Proportions – create, solve
  8. Percents – converting between percentages, fractions and decimals
  9. Applications involving percents, area and perimeter, and number
 
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 on real numbers and their applications to real world problems as well as basic algebraic expressions.
  • 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 to real numbers and the derivation of the fundamental laws of algebra from these.
  • 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 laws as they apply to real numbers and algebraic expressions.
  • Evaluation of quizzes and midterm/final examinations for conceptual understanding as well as correct technique and application of the laws of arithmetic to real numbers and algebraic expressions.
  • 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:

  • Bittinger and Ellenbogen. PreAlgebra, with MyMathLab software. 4th ed. Addison-Wesley Publishing Company, 2004.
  • The Learning Equation Software/Workbooks, Brooks/Cole Publishing Company
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