Course information

Advanced Algebra is a continuation of Algebra 1. In this course, the basic concepts from Algebra 1 are enriched. Topics studied include graphing, analyzing, and interpreting functions including polynomial, rational, exponential, and logarithmic functions, systems of linear

This learning guide entitled “Advanced Algebra” is intended for Grade 8 students to continue their learning in Elementary Algebra (Math 1B) in Grade 7.

It is designed to help the student develop the insight and intuition necessary to master algebraic techniques and manipulative skills. The text is carefully written to promote problem-solving ability. The student has the maximum opportunity to learn the concepts and use them in subsequent sections and higher mathematics courses. The examples included are the most simple and are presented systematically and logically. Additional instructions are given in each step so that students can easily follow its detail.

This learning guide is divided into eight modules. Module 1 is intended for learning the Systems of Linear Equations and Inequalities; module 2, Quadratic Equations; module 3, Rational Algebraic Expressions; module 4, Variations; module 5, Integral Exponents; module 6, Radical Expressions; and module 7, Sequences and Series.

The modules were written for you to use as a guide to mastering the skills, concepts, and principles underlying in Algebra. These, in turn, are fundamentals in learning higher mathematics subjects in the future. Here are some suggestions to help you get the most of your course:

First, you should read the appropriate section of text or discussion before you attempt answering anything. Do not proceed immediately, answering the assigned exercises in each section. Remember that reading a mathematics text is different from reading an English novel, a newspaper, or even another book. You may find yourself rereading a passage or section of this guide several times before you understand it. Pay close attention to the examples, and work them out yourself with a pen and a paper as you read. Then do the exercise(s) referred to in “Now Try Exercise” at the end of each example. Given this kind of assessment, you will be able to do your homework much more quickly and understand the lesson. Place your answer in your Exercise/Graphing notebook.

DO NOT MEMORIZE every single rule or fact that you may come across this material. Take note that Mathematics does not consist simply of memorization. Instead, Mathematics is an art of problem-solving, not just a collection of facts. To master the subject, you must solve problems –lots of problems. Do as many of the exercises as you can. Be sure to write your solutions more systematically and logically. Don’t give up on a problem if you can’t solve it right away. Try to understand the problem more clearly –reread it thoughtfully and look back to what you have learned from your teacher and from the examples in the text. Struggle with it until you solve it worthily. Once you have done this a few times, you will begin to understand mathematics’ true essence.

Lastly, this module is an attempt to further strengthen the mathematical literacy of Junior High School students. The author hopes to meet this challenged.

 

NANCY D. ABUNDA
Instructor