|This is an archive of the Common Course Outlines prior to fall 2011. The current Common Course Outlines can be found at http://www.gpc.edu/programs/Common-Course-Outlines.|
|Course Title||Beginning Algebra|
|Prerequisite(s)||Placement by examination.|
This course is designed to help students learn the basic algebra necessary for college level mathematics. Topics include real-number concepts, selected geometry concepts, linear equations and inequalities in one variable, problem solving involving linear or factorable quadratic equations as models, operations on polynomials, factoring polynomials, integral exponents, and graphing linear equations in two variables. Additional topics include the study of rational expressions and the use of the scientific calculator.
|Expected Educational Results|
As a result of completing this course, the student will be able to do the following:
1. Apply or recognize properties of real numbers (commutative, associative, and distributive)
2. Classify real numbers as integers, rational, or irrational
3. Perform the four arithmetic operations with signed numbers
4. Determine the absolute value of a numerical expression
5. Construct correct expressions using algebraic symbols and notations from statements
6. Solve applications whose mathematical models are linear or factorable quadratic
7. Add, subtract, multiply and factor polynomials. Divide a polynomial by a monomial.
8. Solve the following types of equations:
b. Factorable quadratic
c. Rational leading to a linear or a factorable quadratic
d. Linear literal
9. Solve linear inequalities and write the solution set in interval notation. Graph the
solution set on a number line.
10. Graph linear equations in two variables
11. Add, subtract, multiply, and divide rational expressions
12. Solve problems involving square roots, order of operations, and scientific notation with the aid of a calculator.
13. Apply laws of exponents for integral exponents
14. Solve geometric problems including are and perimeter of triangles, rectangles and circles. Find the volume of a box. Use the Pythagorean Theorem.
15. Recognize and apply angle relationships including vertical angles, supplementary and complementary angles, and those in triangles.
|General Education Outcomes|
1. This course addresses the general education outcome related to effective individual and group problem-solving and critical-thinking skills as follows:
a. Students develop their problem-solving skills individually in homework assignments, assigned group problem-solving activities, and group quizzes or project assignments.
b. Students develop their critical-thinking skills by solving application problems throughout the course.
2. This course addresses the general education outcome related to use of mathematical concepts to interpret, understand, and communicate quantitative data.
1. Real numbers and expressions
2. Exponents and polynomials
3. Linear equations and inequalities in one variable
5. Rational expressions and rational equations
6. Linear equations in two variables
|Assessment of Outcome Objectives|
1. COURSE GRADE
Evaluation methods vary with instructors but frequent assessment is desirable through such means as in-class quizzes, lab work, projects, and homework. A comprehensive departmental final exam is required. The final exam must count at least one-fourth (1/4) and no more than one-third (1/3) of the course grade. A committee of faculty will develop the departmental final exam.
2. DEPARTMENTAL ASSESSMENT
This course will be assessed in the Fall semester every three years. The assessment instrument will become the final exam. The assessment instrument will be designed by the college-wide Learning Support committee. Multiple-choice questions will be written to test the expected educational results of the course.
3. USE OF ASSESSMENT FINDINGS
a. The Learning Support committee will analyze the results of the final exam/assessment instrument and submit a report to the Mathematics, Computer Science, and Engineering Discipline Group by Spring semester.
b. The Learning Support committee will recommend to the Mathematics, Computer Science, and Engineering Discipline Group curriculum changes or instructional modifications to enhance student achievement of the desired education outcomes. The assessment summary along with a time line for implementation of approved curriculum changes will be sent to the Director of Institutional Research and Planning and the Mathematics, Computer Science, and Engineering Group chairperson.
Last Revised: Aug. 10, 2011