# COURSE OUTLINE FOR ELEMENTARY ALGEBRA

**I. Basic Course Information**

A. Course Number and Title: MATH 020 - Elementary Algebra

B. New or Modified Course: New

C. Date of Proposal: Spring, 2009

D. Sponsoring Department: Mathematics

E. Semester Credit Hours: 4 NC

F. Weekly Contact Hours: 4

Lecture: 3

Laboratory: 1

G. Prerequisites /Corequisites:

MATH 014 Arithmetic II:

Proportional Reasoning or

appropriate score on placement test

H. Laboratory Fees: None

**II. Catalog Description
**Prerequisite: MATH 014 Arithmetic II: Proportional Reasoning or appropriate

score on placement test. This course is designed to provide an introduction to and

development of elementary algebra concepts . Topics include exponents,

polynomials, factoring, solving first degree equations and inequalities, rational

and radical expressions , quadratic equations, techniques of graphing, systems of

equations and applications .

**III. Statement of Course Need
**Elementary Algebra serves as a prerequisite for MATH 030, Intermediate
Algebra

and for college level math courses for students who are in a non-math intensive

program.

**IV. Place of Course in College Curriculum
**This is a developmental course and carries no college credit.

**V. Outline of Course Content**

A. Real Numbers and Algebraic Expressions

1. Operations on real numbers

2. Exponents and order of operations

3. Algebraic expressions

4. Translate verbal phrases into algebraic expressions

B. First Degree Equations and Inequalities

1. Linear equations in one variable and their applications

2. Linear inequalities in one variable and their applications

3. Graphs of first degree linear inequalities

C. Graphs of Straight Lines and Systems Linear Equations
in Two Variables

1. The rectangular coordinate system

2. Graphs of linear equations

3. The slope of a line and its applications

4. Solve systems of two linear equations using graphical and algebraic

methods and their applications

D. Exponents, Polynomials and Factoring

1. Exponent rules with integer exponents

2. Simplify expressions containing integer exponents

3. Scientific Notation

4. Operations on polynomials in one or more variables

5. Factor polynomials

6. Solve quadratic equations by factoring

E. Rational Expressions and Equations; Radical Expressions

1. Operations on rational expressions

2. Solve simple rational equations and their applications

3. Operations on radical expressions

F. Quadratic Equations

1. Solve quadratic equations by taking roots

2. Solve quadratic equations by using the quadratic formula

3. Applications of quadratic equations

**VI. Educational Goals and Learning Outcomes**

**A. Educational Goals**

Students will:

1. Students will be able to produce works that demonstrate their ability to

move from the specific to the general, think abstractly about a situation,

and reconcile three different perspectives (symbolic, graphical, and

numerical) into a "connected whole." (G. E. 1)

2. Students will be able to demonstrate their ability to reason quantitatively

and symbolically to solve problems. (G. E. 7)

**B. Learning Outcomes
**Students will be able to:

1. Perform basic operations on polynomials, rational expressions and on

square roots.

2. Solve first degree equations and inequalities.

3. Graph linear equations and inequalities in two variables.

4. Factor polynomials.

5. Solve quadratic equations by factoring, square roots and the quadratic

formula.

6. Solve equations involving rational expressions and square root

expressions.

7. Solve application problems.

**VII. Modes of Teaching and Learning
**A. lecture/discussion

B. small- group /lab work

C. computer-assisted instruction

**VIII. Papers, Examinations, and other Assessment
Instruments
**A. laboratory products/homework/quizzes

B. chapter tests

C. departmental final exam

**IX. Grade Determinants
**A. chapter tests

B. departmental final exam

C. laboratory products /homework/quizzes

The departmental cumulative final exam will be used to
assess all the

learning outcomes listed in Section VI, Part B.

**X. Texts and Materials
**Suggested Textbook: Understanding Elementary Algebra With Geometry, A

Course for College Students, 6

^{th}Edition, by Lewis Hirsch and Arthur

Goodman, Thomson Brooks/Cole, 2006, ISBN 0-534-99972-7.

(Please Note: The course outline is intended only as a
guide to course content and

resources. Do not purchase textbooks based on this outline. The RVCC Bookstore
is the

sole resource for the most up-to-date information about textbooks.)

**XI. Resources
**No specific resources are necessary.

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