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

Riverside Community College District
Integrated Course Outline of Record

Mathematics 90D


COURSE DESCRIPTION
90D Special Topics: Integers & Intro to Variables Units: 1.00
 
Prerequisite(s): MAT 63: Arithmetic or MAT 90C: Special Topics: Decimals
A course covering the four basic mathematical operations as they apply to integers with an introduction to variables. Emphasis is placed on applications to real world problems. Computations will be performed without the use of any calculating device. 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 integers.
 
ADVISORY ENTRY SKILLS
Before entering the course, students will be able to:
  1. Add, subtract, multiply, and divide whole numbers.

  2. Evaluate whole number, fractional, and decimal expressions using the order of operations.

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

  4. Solve basic linear equations involving whole numbers.

  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.  Add, subtract, multiply and divide integers.

2.  Evaluate integer expressions using the order of operations and interpret the solutions in decimal and fraction forms.

3.  Solve equations involving integers.

4.  Evaluate algebraic expressions with integers.

5.  Simplify algebraic expressions involving integers.

6.  Solve applications involving integers.
   
 
COURSE CONTENT
  TOPICS
 
  1. Introduction to integers – number lines, order, opposites, absolute value
  2. Add, subtract, multiply and divide integers
  3. Order of operations with integers
  4. Applications involving addition, subtraction, multiplication and division of integers
  5. Equations involving integers
  6. Algebraic expressions – evaluate, like terms, distributive property
 
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 as they apply to integers 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 arithmetic to integers. 
  • 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 integers.
  • Evaluation of quizzes and midterm/final examinations for conceptual understanding as well as correct technique and application of the fundamental laws of arithmetic.
  • 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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