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

Riverside Community College District
Integrated Course Outline of Record

Mathematics 52


COURSE DESCRIPTION
52 Elementary Algebra Units: 4.00
 
Prerequisite(s): MAT 64: Pre-Algebra MAT 65: Arithmetic & Pre-Algebra MAT 90F: Special Topics: Algebraic Expressions & Equations
MAT-64, 65, 90F or qualifying placement level.
Examines real numbers and variables as they are involved in polynomials, fractions, linear equations, quadratic equations, systems of equations, inequalities, exponential and radical expressions, and absolute value. Factoring, graphing, and word problem applications will also be included. 72 hours lecture.
 
SHORT DESCRIPTION FOR CLASS SCHEDULE
An introduction to the concepts of algebra.
 
ADVISORY ENTRY SKILLS
Before entering the course, students will 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. Derive and solve basic linear equations from elementary applications.

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

1.  Perform arithmetic operations on real numbers and polynomial, rational, and radical expressions.

2.  Evaluate algebraic expressions.

3.  Solve equations involving linear, quadratic, rational, and radical expressions.

4.  Graph linear equations and inequalities given the equation and find the equation given the graph.

5.  Factor polynomials.

6.  Apply algebraic principles and techniques to the solution of applications.

7.  Use the symbols and vocabulary of algebra to communicate mathematical concepts.
   
 
COURSE CONTENT
  TOPICS
 
  1. Real number operations
  2. Linear equations and inequalities in one variable with applications
  3. Exponents and polynomials
  4. Factorization of polynomials
  5. Graphs of linear equations and applications
  6. Radical expressions
  7. Systems of equations and applications
  8. Rational expressions and 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 four basic operations as applied to real numbers and polynomials as well as rational and radical expressions, graphing linear equations and inequalities, factoring polynomials, and evaluating algebraic expressions. 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 algebraic principles and techniques to the solution of applications, the four basic mathematical operations as applied to real numbers and polynomials as well as rational and radical 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 algebraic principles as well as the correct use of symbols and vocabulary of algebra.
  • Evaluation of quizzes and midterm/final examinations for conceptual understanding as well as correct technique and application of algebraic principles, the four basic mathematical operations as applied to real numbers and polynomials as well as rational and radical expressions, graphing linear equations and inequalities, factoring polynomials, and evaluating 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. Introductory Algebra, with MathXL software. 9th ed. Addison-Wesley Publishing Company, 2003.
  • Dugopolski . Elementary Algebra. 3rd ed. McGraw-Hill, 0.
  • Bittinger and Ellenbogen. Elementary Algebra – Concepts and Applications. 6th ed. Addison-Wesley Publishing Company, 2001.
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