Basic Math and Pre-Algebra

About this Course
Who Should Take This Course
Why Should You Take This Course
About the Author
Table of Contents

Mathematics is essential for solving problems in science, industry, government, and most areas of everyday life - problems as complex as models to forecast the weather or as simple as measuring the ingredients to bake a cake. From its earliest invention over 5,000 years ago, as a method of counting and measuring, mathematics has now found applications in all areas of human endeavor. An understanding of basic mathematics is a necessity for competent performance and promotion in almost every workplace situation. In addition, the ability of each citizen to understand and apply basic mathematics to the needs of a society is critical to the functioning of that society.

The RPLMRI Basic Mathematics and Pre-Algebra Course has two learning objectives: first, to develop in the student a fundamental understanding of arithmetic, which is the mathematics of real numbers under addition, subtraction, multiplication, and division and second, to introduce the basic concepts necessary for the study of algebra. The writing style is purposefully informal and non-technical. Extra effort is made to explain why mathematical rules are true and what led to their discovery or development. By explaining the basis for these rules, it is hoped that they will be easier to learn and remember. Numerous examples and exercises are provided throughout the course to help illuminate the various mathematical concepts presented. Questions and comments from students are encouraged. Assistance from RPLMRI with any part of the course is just an email away.

The course material is divided into 3 parts, 11 chapters, and 37 sections. The first two parts provide the basic concepts of arithmetic. Part 1 covers number systems and operations with whole numbers. Part 2 reviews fractions, ratios, rates, proportions, percentages, and operations with whole numbers. Building upon the first two parts, Part 3 provides the basic knowledge needed to begin the study of algebra. It covers the topics of exponential notation, powers of ten, scientific notation, principles of measurement, equations, and inequalities. At the beginning of each of the 11 chapters is a list of the principle learning objectives for that chapter and at the end of each of the 3 parts is a review of the key concepts covered within that part. For those who are using this course as a refresher, pretests check your knowledge of the concepts in each chapter. Exams are provided at the end of each part. Successful completion of all 3 part exams results in the award of a course certificate.

1. Junior High School students prior to SAT and state exams.
2. Elementary and junior high students learning on their own at home with parental supervision.
3. Students entering junior colleges or technology centers in preparation for taking math or science/technology courses at these schools.
4. Workers, supervisors, and managers in all fields of finance, government, law, health care, commerce, or industry who use math in their daily work.
5. Elementary school and junior high teachers who would like to get a few new ideas on how to present basic math concepts.

1. So that you can function better in society - understand how to: balance your checkbook, do you taxes, figure out by what percentage your pay increased or decreased, etc.
2. So that you can get promoted.
3. So that you can pass state licensing exams for various technical fields: welders, machinists, nursing, etc.
4. So that you can pass the SAT and state grade school exams.
5. It costs less than a college or tech school refresher course and you can complete it at home.

Edward (Ed) Gibeau received undergraduate degrees in engineering from the State University of New York at Buffalo and in meteorology from Pennsylvania State University. He earned masters degrees in atmospheric physics from the University of Michigan and in public service from Ball State University. Ed served 21 years in the United States Air Force, 11 of which involved the application of geophysical knowledge to the development of space and missile systems. Following the service, he completed 20 years of employment for a small aerospace company, Aeromet, Inc., retiring in 1999. At Aeromet he served the company in various capacities, as: scientist, meteorologist, engineer, and human resources manager. Throughout his working career, Ed has been concerned with and used applied mathematics in solving both technical and non-technical problems. He currently lives in Broken Arrow, Oklahoma.


Family Plan (3 users)
      $125 for each additional user.

Classroom Plan (15 users)
      $100 for each additional user.

If you need assistance with this course please call 1-800-633-4775 or send an email to

ALL RIGHTS RESERVED RPL Management Resources, Inc. 2004