ELEMENTARY MATHEMATICS
Math 101 - Syllabus
Text: Developmental Mathematics by
Wood and Capell(5th Edition)
Course Credits: 3 Hours Lecture/Laboratory
Prerequisite: Math 100 or Placement Test
Course Description: Designed to provide a developmental
approach for students whose placement results indicate a need for further
review of basic algebra. Individualized instruction through the Mathematics
Reinforcement Center is a corequisite. Credits do not count toward
the mathematics requirements of a student's major.
Lab Component: The Lab Component is a Computer
Technology Requirement for Math 101. Students obtain individualized
instruction in arithmetic via the computer (LBB LIB Rm. 218 and/or Rm.
301/302 Robinson Technology Center) as defined by performance on the Mathematics
Placement Test. Posttests on all computer modules are administered in the
Mathematics Testing Center (BMH C236). A posted mastery level is
defined for each test.
Course Requirements: Each student must:
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obtain the appropriate textbook and attend all lectures and demonstrations.
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complete Math Lab and all projects and assignments in a timely manner.
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attend individual or group conferences agreed upon by the student(s) and
instructor.
Course Objectives:
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Recalls and/or recognizes mathematical definitions, facts and symbols.
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Performs mathematical computations and manipulations with understanding,
accuracy, and efficiency in arithmetic and elementary algebra.
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Analyzes and solves verbal problems.
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Uses the computer for review and reinforcement.
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Appreciates mathematics for its beauty and its power
Topical Outline:
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Operations With Signed Numbers (Chapter 5)
a. The Real Numbers
b. Operations with Signed Numbers
c. Order of Operations
d. Symbols of Grouping
e. Combining Properties to Solve Equations
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Basic Concepts Related to Polynomials (Chapter 6)
a. Variables
b. Exponents
c. Polynomials
d. Addition and Subtraction of Polynomials
e. Removing Symbols of Grouping.
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Multiplication and Division of Polynomials (Chapters 7-8)
a. Laws of Exponents Related to Multiplication and Division
b. Multiplying and Dividing Monomials
c. Multiplying and Dividing a Polynomial by a Monomial
d. Multiplying and Dividing Polynomial by Polynomial
e. Multiplying Binomials by Inspection
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4. First Degree Equations and Inequalities in One Variable
(Chapter 9)
a. Basic Concepts Related to Equations
b. Solving Equations of the form ax + b = cx + d
c. Solving More General Forms of 1st Degree Equations
d. Solving 1st Degree Equations Involving Fractions
e. Solving Formulas and Equations for a Specified Variable
f. Basic Concepts Related to Inequalities
g. Solving More General Forms of Inequalities
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5. Applications (Word Problems)
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6. Graphs of First Degree Equations in Two Variables (Chapter
12)
a. Graphs of Points on the Rectangular Coordinate System
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b. Graphs of First Degree Equations in Two Variables
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7. Factoring (Chapter 13)
a. Factoring Out the Greatest Common Factor
b. Factoring Trinomials of the Form x + bx + c
c. Factoring the Difference of Squares
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8 Lab Component
a. Understanding Fractions, Decimals, and Percents
b. Ratio
c. Proportion
Academic Integrity Policies: Students are expected
to attend all class sessions. Missing 20% or more of such sessions may
result in an automatic failing grade. Further information regarding academic
or academically related misconduct, and disciplinary procedures and sanctions
regarding such misconduct, may be obtained by consulting the NSU Student
Handbook. Also, individual professors may provide information
regarding his/her particular class.
Evaluation: Final Grades will be determined as
follows:
Math Lab 20% Classwork 60% Final Exam 20%
Grading Scale: A:100 - 90 B: 80 - 89 C: 70 - 79 D: 60
- 69 F Below 60
Available Supplements: Videotapes available for
students who need supplementary work or tutorial assistance with a particular
topic or concept. These supplements are located in The Mathematics Testing
Center (BMH Rm. 236). A Tutoring Lab (BMH Rm. 248), staffed
by Mathematics Faculty, is also available on a daily basis from 9 a.m.
to 4 p.m.
FINAL EXAMINATION: MONDAY, DECEMBER 13, 1999
Measurable Student Objectives: Upon completion
of this course, students should be able to perform the following competencies
at a 73% mastery level:
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Represent the graphs of rational numbers on the number line.
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Write the opposite of a number, and calculate the absolute
value of a number.
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Identify subsets to which real numbers belong.
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Perform operations with signed numbers in the real number
system.
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Evaluate expressions in which the order of operations must
be determined.
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Evaluate algebraic expressions that contain negative numbers.
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Evaluate algebraic expressions that contain symbols of grouping.
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Solve equations that involve signed numbers and more than
one transformation.
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Work word problems that involve signed numbers.
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Discriminate between constants and variables.
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Evaluate an algebraic expression when given values for all
variables in the expression.
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Translate a verbal expression to an algebraic expression
and an algebraic expression to a verbal expression.
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Identify the field property illustrated by a given statement.
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Correctly interpret and use formulas for the area and the
perimeter of rectangles, triangles, and circles.
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Correctly interpret and use exponents in algebraic expressions.
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Use the terminology associated with polynomials.
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Perform operations with polynomials and write the result
in standard form.
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Simplify expressions that contain symbols of grouping.
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Multiply and divide factors with the same base.
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Raise a power to a power.
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Raise a product or a quotient to a power.
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Multiply and divide monomials.
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Multiply and divide a polynomial by a monomial.
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Multiply and divide two polynomials.
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Multiply binomials by inspection.
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Use the terminology associated with equations.
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Recognize special cases of equations (identity and contradiction)
and of inequalities (absolute inequality and contradiction).
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Solve equations by using the multiplication division principle
of equality and/or the addition subtraction principle of equality, and
check the solution.
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Solve and check more general forms of equations.
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Solve and check linear equations that contain fractions.
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Solve formulas and equations for a specified variable.
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Translate algebraic statements that involve the order relations
into verbal statements, and vice versa.
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Draw the graph of the solution of a linear inequality.
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Solve linear inequalities and check values from the solution
set.
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Translate key words and phrases into their algebraic equivalents.
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Use equations to solve applied problems.
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Interpret and use ratio notation.
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Solve problems that ask for a ratio.
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Solve a proportion for an unknown term.
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Perform basic operations with fractions, decimals, and percents.
(Lab Component)
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Graph points on the Rectangular Plane.
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Graph lines using equations in two variables.
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Factor out the greatest common factor.
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Factor trinomials of the form x + bx + c.
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Factoring the difference of squares
Videotapes: The EVR Videotape Series teaches
key topics in the text and features a professional math instructor. These
tapes are housed in BMH C236.
TAPE #
|
1
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Whole Numbers, Order of Operations Understanding Fractions,
Mixed Numbers |
|
2
|
Operations with Fractions |
|
3
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Operations with Decimals Ratio and Proportion |
|
4
|
Percents and Applications Operations on Signed Numbers |
|
5
|
Order of Operations Exponents, Order of Operations
Introduction to Variables |
|
6
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Solving Linear Equations
Operations on Polynomials |
|
9
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Systems of Equations
Word Problems |
|
12
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Solving Linear Inequalities Addition, Subtraction &
Multiplication of Polynomials |
Individualized Instruction Modules: This tutorial
software has been developed exclusively for Math 101. It is designed to
generate practice exercises in arithmetic via The VAX . If a student
is having difficulty working any problem, he is provided step-by-step interactive
help in solving the problem. At the end of each problem set, results are
provided and when appropriate, remediation is provided by referring the
student to a specific section of the module for additional skills practice
or review of key concepts. Upon completion of each module, a Posttest
is taken in The Mathematics Testing Center.
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Understanding Fractions, Part I
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Understanding Fractions, Part II
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Equivalent Fractions
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Finding the LCD
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Addition of Fractions
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Subtraction of Fractions
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Multiplication of Fractions
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Division of Fractions
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Understanding Decimals, Part I
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Understanding Decimals, Part II
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Rounding Decimals
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Addition and Subtraction of Decimals
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Multiplication and Division of Decimals
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Ratio and Proportion
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Understanding Percents, Part I
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Understanding Percents, Part II