I. Course Course Course
Prefix Number Name Credit Lecture Lab
MAT 051
Algebraic Foundations 4 4 0
and
Elementary Algebra
II. Prerequisite:
MAT 045 or an appropriate score on the
Mathematics Placement Test.
III. Course
(Catalog) Description:
Course prepares students for an introductory algebra course by covering the fundamental concepts, operations, and applications of arithmetic in basic algebraic contexts, including linear equations and graphing. Arithmetic topics include integers, fractions, decimals, percents, measurement and signed numbers. This is an introduction to sets, signed numbers, equations, exponents, polynomials, factoring and graphing.
IV. Course
Objectives:
A.
Perform
the fundamental operations with integers.
B.
Perform
the fundamental operations with fractions.
C.
Perform
the fundamental operations with decimals and percents.
D.
Use
the techniques of arithmetic to solve application problems.
E.
Graph
and interpret points on a Cartesian coordinate system.
F.
Calculate
measurements of geometric figures.
G.
Solve
simple linear equations using fractions, decimals and integer numbers.
H. Apply the properties and perform the fundamental operations with integers and rational numbers.
I. Perform the algebraic operations and factoring with polynomials.
J. Perform the algebraic operations with rational expressions.
K. Solve first degree equations and inequalities in one variable.
L. Solve and graph first degree equations in two variables.
M. Solve systems of first degree equations in two variables.
N. Solve second degree equations in one variable.
O. Apply new concepts and techniques learned to solving word problems in each area.
V. Academic
Integrity:
Students, Faculty and administration at Oakton Community College are required to demonstrate academic integrity and follow Oakton’s Code of Academic Conduct. This code prohibits:
· cheating,
· plagiarism (turning in work not written by you or lacking proper citation),
· falsification and fabrication (lying or distorting the truth),
· helping others to cheat,
· making unauthorized changes in official documents,
· pretending to be someone else or having someone else to pretend to be you,
· making or accepting bribes, special favors, or threats, and any other behavior that violates academic integrity.
There are serious consequences to violations of the academic integrity policy. Oakton’s policies and procedures provide students with a fair hearing if a complaint is made. If you are found to have violated the policy, the minimum penalty is failure on the assignment and a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.
Details of the Code of Academic Conduct can be found in the Student Handbook.
VI. Outline
of Topics:
A.
Integers
and algebraic expressions
1.
Integers
on the number line
2.
Addition
and subtraction of integers
3.
Multiplication
and division of integers
4.
Order
of operations
5.
Exponential
notation
6.
Introduction
to algebraic expressions
7.
Like
terms
8.
Solving
equations using integers
B.
Fractions
1.
Understanding
fractions
2.
Equivalent
fractions
3.
Factors,
multiples, primes and divisibility rules
4.
Multiplying
and dividing
5.
Adding
and subtracting
6.
Operations
with mixed numbers
7.
Comparing
and ordering
8.
Solving
equations using fractions
9.
Applications
C.
Decimals
1.
Understanding
decimals
2.
Place
value: reading and writing decimal numerals
3.
Comparing
and ordering
4.
Rounding
and estimating
5.
Adding
and subtracting
6.
Multiplying
and dividing
7.
Conversions:
fractions, mixed numerals, decimals
8.
Solving
equations using decimals
9.
Applications
D.
Ratio
and proportion
1.
Introduction
to ratios
2.
Rates
and unit prices
3.
Proportions
4.
Applications
E.
Percent
1.
Understanding
percent
2.
Conversions:
fractions, decimals, percent
3.
Solving
percent problems using equations
4.
Solving
percent problems using proportions
5.
Applications
F.
Introduction
to graphing
1.
Tables
and pictographs
2.
Bar
graphs and line graphs
3.
Ordered
pairs and linear equations in two variables
G.
Geometry
and measurement
1.
Perimeter
2.
Area,
Volume
H. Integers
and Rational Numbers
1. Graphical representation
2. Fundamental operations
3. Algebraic expressions
4. Exponential notations
5. Order of operations
I. First-Degree Equations and Inequalities in One Variable
1. Solution of equations and inequalities
2. Graphing inequalities
3. Formulas
4. Applications
J. Polynomials and Exponents
1. Fundamental operations
2. Factoring
K. Rational Expressions and Equations
1. Reducing to lowest terms
2. Fundamental operations
3. Solving equations with monomial denominators
4. Solving proportions
5. Applications
L. First-Degree Equations and inequalities in two variables.
1. Solutions of equations
2. Slope of a line
3. Graphing
4. Graphical solution of systems
5. Algebraic solution of systems
6. Applications
M. Quadratic Equations
1. Solutions by factoring
2. Solutions by square roots of perfect squares
3.
Applications
VII. Methods of Instruction:
Methods of presentation can include lectures, discussion, demonstration, experimentation, audio-visual aids, group work, board work, and regularly assigned homework. Calculators / computers will be used when appropriate.
VII. Methods
of Instruction:
Methods of presentation can include
lectures, discussion, demonstration, experimentation, audiovisual aids, group
work, and regularly assigned homework.
Calculators / computers will be used when appropriate.
VIII. Course
Practices Required:
Course practices include attending
class, completing homework assignments, participating in discussions and taking
quizzes and exams.
IX. Instructional
Materials:
Required
Textbook: Custom Published
by Prentice Hall
Custom Algebraic
Foundations and Elementary Algebra
ISBN: 0-536-52935-3
Scientific
calculator is recommended.
X. Methods
of Evaluating Student Progress:
Evaluation methods can include
assignments, quizzes, chapter or major tests, individual or group projects,
computer assignments and/or a final examination.
XI. Other
Course Information:
Individual
instructors will establish and announce specific policies regarding attendance,
due dates and make-up work, incomplete grades, etc.
If you have a documented learning,
psychological, or physical disability you may be entitled to reasonable
academic accommodations or services. To
request accommodations or services, contact the ASSIST office in the
___________________________________________________________________________
Effective beginning term: ___Fall 2007__________ Ending term: ___________
(term) (year) (term) (year)
Syllabus prepared by: Julia Hassett Date: _11/06____
Reviewed by Dept/Program Chair:_Julia Hassett Date: _11/06____
Approved by Dean: __ Robert Sompolski _________ Date: _11/06____