MAT 051 GENERIC COURSE SYLLABUS

Effective Date: Fall 2007

Instructor:

Campus:

Room:

Office Hours:

Phone:

I.

Course Prefix

Course Number

Course Name

Credit

Lecture

Lab

MAT

051

Algebraic Foundations and Elementary Algebra

4

4

0

II.

Prerequisites:

MAT 045 or an appropriate score on the Mathematics Assessment Test.

III.

Course 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 and employees 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,

· unauthorized changes on official documents,

· pretending to be someone else or having someone else 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 a fair hearing if a complaint is made against you. 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:

(To be completed by instructor)

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.

VIII.

Course Practices Required:

(To be completed by instructor)

Course practices include attending class, completing homework assignments, participating in discussions and taking quizzes and exams.

IX.

Instructional Materials:

Required Textbook:

http://www.oakton.edu/acad/dept/mcs/mat/textbooks.htm

Required Materials: Scientific calculator is recommended.

X.

Methods of Evaluating Student Progress:

(To be determined and announced by the instructor)

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 Learning Center. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

Effective Beginning Term	Date:	Fall	2007	Ending Term	Date:
		(term)	(year)			(term)	(year)
Prepared by:	J. Hassett				Date: 11/06
Reviewed by Department /Program Chair	J. Hassett				Date: 11/06
Approved by Dean:	R. Sompolski				Date: 11/06