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

Riverside Community College District
Integrated Course Outline of Record

Mathematics 90F


COURSE DESCRIPTION
90F Special Topics: Algebraic Expressions & Equations Units: 1.00
 
Prerequisite(s): MAT 90E: Real Numbers, Intro Algebra
A course covering the addition, subtraction, multiplication, and factoring of polynomials as well as simplification of basic 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 algebraic expressions.
 
ADVISORY ENTRY SKILLS
Before entering the course, students will 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. Convert between percentages, fractions, and decimals.

  5. Solve applications involving percents, area and perimeter, and number problems.
STUDENT LEARNING OUTCOMES
 Upon successful completion of the course, students should be able to:

1.  Add, subtract and multiply polynomials.

2.  Divide monomial and polynomial by monomial.

3.  Factor algebraic expressions.

4.  Evaluate algebraic expressions.

5.  Simplify algebraic expressions.

6.  Translate word phrases and sentences into algebraic expressions and equations.

7.  Solve equations.

8.  Use the symbols and vocabulary of pre-algebra to communicate mathematical concepts.
   
 
COURSE CONTENT
  TOPICS
 
  1. Introduction to variables – terms, like terms, polynomials
  2. Add, subtract and multiply polynomials
  3. Divide monomial and polynomial by monomial
  4. Factoring polynomials using Greatest Common Factor
  5. Evaluate algebraic expressions
  6. Simplify algebraic expressions – like terms, distributive property
  7. Translate word phrases and sentences into algebraic expression and equations
  8. Solve equations
 
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 basic algebraic principles and their applications to real world problems.
  • 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 to basic expressions. 
  • 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 laws of algebra as they apply to polynomials and rational expressions.
  • Evaluation of quizzes and midterm examinations for conceptual understanding as well as correct technique and application of the laws of algebra.
  • 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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