ARITHMETIC TO ALGEBRA
THROUGH PRE-CALCULUS
TEXTBOOKS

CRITICAL THINKING APPROACH
to BEGINNING ALGEBRA
Second Printing
   

Units 9 - 15
Chapters 1 - 7
   

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ABOUT THIS TEXT

The Text Critical Thinking Approach to Beginning Algebra (First Year Algebra) is recommended by Colleges, Universities, Secondary Schools, Home Schoolers, and Self Study Students because it emphasizes understandingv learning, and relearning of mathematical concepts as opposed to memorization. This Algebra 1 textbook fosters Student Success and enables the Teaching of math concepts because of the extra amount of time allowed to master these needed concepts.

Available soon will be a new additional Chapter 8 on "Introduction to Linear Algebra". This topic is becoming critical for all branches of science and industry because students need to know about our changing world caused by Quantum Mechanics.


Critical Thinking Approach to Beginning Algebra contains the curriculum for a first year Algebra math course normally taught in 9th grade or in a review sequence in college. Many students struggle with algebra through no fault of their own. Algebra has its own unique language and set of rules, and the frustration experienced by algebra students can result in a loss of self-confidence. Critical Thinking Approach to Beginning Algebra features a comprehensive, step-by-step approach that simplifies complex concepts by breaking them up into bite-size pieces, using high quality illustrations, and providing real-life examples. The mathematics is presented in an understandable way in order to maximize success in this course. The Beginning Algebra Text in the Arithmetic to Algebra through Pre-Calculus Series contains all necessary topics needed to understand the next course, Intermediate Algebra. The complete Table of Contents for Beginning Algebra text is presented at the bottom of this web-page.




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Each Section of Critical Thinking Approach to Beginning Algebra is followed by 4 sets of exercises: Exercises for Vocabulary (for reading and vocabulary development), Exercises for Computation (regular drill and practice exercises), Exercises for Understanding (to develop critical thinking skills), and a Self-Test. The Instructor's Manual contains Problems for Problem Solving (a collection of problems from science and industry applicable to the topics in that Unit).

Because of the emphasis on understanding, this is an outstanding text for teaching algebra or algebraic concepts.

Available with Critical Thinking Approach to Beginning Algebra is an Instructor's Manual and a Test Kit. Answers for some of the odd numbered exercises appear at the end of the text while the complete answers appear in the Instructor's Manual for the text.



The text for beginning algebra.
THE MATERIALS FOR BEGINNING ALGEBRA


The Instructor's Manual contains teaching and testing hints, a possible schedule, the student copies for Problems for Problem Solving, and all answers including those to the Exercises for Understanding and Problems for Problem Solving. The Test Kit contains a Placement Test, 7 Criteria Referenced Unit Tests (one for each Unit), and a Final. All tests have been developed using the suggestions and guidance of the University of Chicago Testing Department. These multiple-choice tests are designed to test mastery by students of the content in the text.


Home schooling with beginning algebra.
HOME SCHOOLING WITH BEGINNING ALGEBRA





TESTIMONIALS and CUSTOMER COMMENTS

"Some of the features of this text that we found particularly helpful to our students were the raised negative sign in polynomial subtraction - (polynomial) changed to -1(polynomial)."

"Stress on equivalent equations made students more aware of multiple forms of the same equation, and far fewer homework questions about specific algorithms, instead, questions were asked about concepts involved."

"I was very pleased that a "live person" was available to answer my questions at this web site."

"The A, B, or C grades of our students improved to 62% from 43% and the dropout or did not attend class went down to 12% from 28%. Our students were also better prepared to work with literal equations."

"My husband and I were pleased and excited to discover logic introduced and understanding emphasized in your texts. We are home schooling our children and they are enjoying learning from these texts."

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"NEW" The Second Printing of the Critical Thinking Approach to Beginning Algebra
has a new reenforced plastic binding. This new binding will last many years with normal wear.


Title:Critical Thinking Approach to Beginning Algebra
ISBN # 1-888679-02-6  Code 5300 Subject: Beginning Algebra

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Binding: Hardcover

298 pages
Size = 7" X 10"
Price: $46.00

Beginning Algebra Text





Title:Instructor's Manual for Critical Thinking Approach to Beginning Algebra
with Complete answers;
ISBN # 1-888679-12-3  Code 5310 Subject: Beginning Algebra

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Binding: Soft cover

120 pages
Size = 8.5" X 11"
Price: $13.00

Beginning Algebra Text





Title:Test Kit for Critical Thinking Approach to Beginning Algebra
Containing: Placement Test, 7 Criteria Referenced
Unit Tests, and a Final Test

ISBN#
1-888679-22-0 
Code 5320 Subject: Beginning Algebra

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Binding:
Shrink Pak

48 pages
Size = 8.5" X 11"
Price: $5.50

Beginning Algebra Text





Title:Complete Set for Critical Thinking Approach to Beginning Algebra
Student Text, Instructor's Manual and Test Kit 
ISBN # 1-888679-32-8  Code 5340 Subject: Beginning Algebra

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Price: $63.00

Beginning Algebra Text







 

TABLE OF CONTENTS for Critical Thinking Approach to Beginning Algebra

UNIT 9 INTEGERS & OPERATIONS WITH INTEGERS
SECTION A  INTRODUCTION TO INTEGERS
SECTION B  ADDITION OF INTEGERS
SECTION C SUBTRACTION OF INTEGERS
SECTION D  MULTIPLICATION OF INTEGERS 
SECTION E DIVISION OF INTEGERS
SECTION F ABSOLUTE VALUE 
 
UNIT 10 BASIC NUMBER THEORY
SECTION A PRIMES AND COMPOSITES
SECTION B  FUNDAMENTAL THEOREM OF ARITHMETIC
SECTION C EXPONENTIAL NOTATION
SECTION D COMPARING INTEGERS
SECTION E LEAST COMMON MULTIPLE
 
UNIT 11 RATIONAL NUMBERS
SECTION A  INTRODUCTION TO RATIONAL NUMBERS
SECTION B  MULTIPLYING RATIONAL NUMBERS 
SECTION C DIVISION OF RATIONAL NUMBERS
SECTION D  THREE SIGNS OF A FRACTION
SECTION E  ADDITION AND SUBTRACTION OF RATIONAL NUMBERS
 
UNIT 12 ALGEBRAIC EXPRESSIONS & EXPONENTS
SECTION A EVALUATION OF ALGEBRAIC EXPRESSIONS 
SECTION B  BASIC TERMS AND DEFINITION OF ALGEBRA 
SECTION C THE BASIC AXIOMS OF ALGEBRA 
SECTION D POSITIVE EXPONENTS
SECTION E EXPONENTIAL LAWS FOR MULTIPLYING AND DIVIDING 
 
UNIT 13 POLYNOMIALS 
SECTION A INTRODUCTION TO POLYNOMIALS 
SECTION B ADDITION OF POLYNOMIALS
SECTION C SUBTRACTION OF POLYNOMIALS
SECTION D MULTIPLICATION OF POLYNOMIALS 
SECTION E DIVISION OF POLYNOMIALS 
SECTION F COMMON MONOMIAL FACTORS 
 
UNIT 14 LINEAR EQUATIONS AND INEQUALITIES
SECTION A MEANINGFUL STATEMENTS AND SOLUTION SETS 
SECTION B EQUIVALENT STATEMENTS 
SECTION C SOLVING LINEAR EQUATIONS
SECTION D SOLVING LINEAR INEQUALITIES
SECTION E SOLVING LITERAL EQUATIONS
SECTION F RATIO AND PROPORTION 
   
UNIT 15 LINEAR SYSTEMS
SECTION A THE RECTANGULAR COORDINATE SYSTEM 
SECTION B GRAPHS OF LINEAR STATEMENTS 
SECTION C SYSTEMS OF LINEAR EQUATIONS
SECTION D SOLVING SYSTEMS USING SUBSTITUTION AND REPLACEMENT 
SECTION E SOLVING LINEAR SYSTEMS USING LINEAR OPERATIONS 
   
ANSWERS TO ODD NUMBERED EXERCISES