ACADEMIC COURSE OUTLINE

MATH 026 Algebra Transition Course

**A. Course Number and Title:** MATH026 - Algebra
Transition Course

**B. New or Modified Course:** New

**C. Date of Proposal: Semester:** Fall Year: 2008

**D. Sponsoring Department:** Mathematics

**E. Semester Credit Hours: **3 NC

**F. Weekly Contact Hours:** 6

Lecture: 4.5

Laboratory: 1.5

**G. Prerequisites:** MATH 023 Algebra Mod 2 – Linear Behavior

**H. Laboratory Fees: No
I.** Name and Telephone Number or E-Mail Address of Department Chair: Patti

Hulsen,

Prerequisite: MATH023 Algebra Mod 2 – Linear Behavior.
This course is designed

to provide students with the algebra skills and concepts necessary before taking

college-level mathematics. Students taking this course are majoring in programs

requiring non-math intensive courses. This course meets for seven weeks. Topics

include integer exponents, polynomial operations, factoring, solving equations
in

quadratic form, operations with rational expressions, use of rational exponents,

solving rational equations, operations with radicals, and solving radical
equations.

This course is designed for students who are in a non-math
intensive major and

who have completed MATH 023 – Algebra Mod 2 but not MATH025 - Algebra

Mod 4.

This is a developmental course and carries no college credit.

**A. Exponents**

1. Natural number exponents

2. Integer exponents

3. Scientific notation

**B. Polynomial operations**

1. Addition

2. Subtraction

3. Multiplication

4. Division

**C. Factoring**

1. Greatest common factor

2. Factoring by grouping

3. Factoring by special polynomials

4. Factoring trinomials of the form ax^2 + bx + c

**D. Solving quadratic equations**

1. Factoring and square root method

2. Quadratic formula with real roots

**E. Rational Expressions and Operations**

1. Definition

2. Undefined Values

3. Simplifying by factoring

4. Multiplication and division

5. Least common multiple/denominator

6. Addition and subtraction

7. Mixed operations

8. Complex fractions

**F. Radical Equations and Operations**

1. Strategy for solving simple rational equations

2. Simplifying by identifying perfect roots

3. Addition and subtraction

4. Multiplication and division

5. Rationalization

**A. Educational Goals**

This course addresses the following RVCC General Education
Goals:

• 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." (Gen. Ed. Goal 1)

• Students will be able to demonstrate their ability reason quantitatively and

symbolically to solve problems. (Gen. Ed. Goal 7)

**B. Learning Outcomes**

Students will be able to

1. perform arithmetic operations on polynomial expressions and on

expressions that contain integer exponents.

2. factor polynomials using a variety of methods.

3. solve quadratic equations using the methods of factoring, square root, and

the quadratic formula.

4. perform arithmetic operations on exponential, rational, or radical

expressions.

5. solve equations involving rational expressions or radical expressions.

6. solve application problems using quadratic relationships, and algebraic

expressions and equations.

• lecture/discussion

• small-group work

• laboratory

• tests, quizzes, final examination

• laboratory products

• other

• Cumulative, departmental final examination

• Chapter tests

• Lab grade

• Individual teacher determinants such as quizzes

The final exam will assess all the course outcomes listed above in Section VI.

• Suggested textbook: Beginning and Intermediate Algebra
with

Applications and Visualization, Gary K. Rockswold & Terry A. Krieger.

Addison Wesley, 2005, ISBN 978-0321-20605-3.

(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.)

No unusual resources are needed.