ARITHMETIC THROUGH ALGEBRA
TO CALCULUS
TEXTBOOKS

THE BEST TEXT FOR THE
CRITICAL THINKING APPROACH

TO PRE-CALCULUS
Second Edition

Chapters 1 - 8
   

Buy Text Testimonials Table of Contents

   



ABOUT THIS TEXT

This text fosters the teaching of critical thinking and problem solving to facilitate learning and understanding of Pre-Calculus.. OUR TOP PRIORITY IS TO HELP STUDENTS BE SUCCESSFUL IN PRE-CALCULUS AND OTHER MATHEMATICS. Critical thinking and problem solving are the main outcomes of understanding and understanding is the key to learning and retention. Mathematics is the gateway to many occupations and the many advances in technology has caused this gateway to be ever widening in the number of occupations requiring some competency in mathematics.

The Text Critical Thinking Approach to Pre-Calculus is recommended by Colleges, Universities, Secondary Schools, Home Schoolers, and Self Study Students because it emphasizes understanding, learning, and relearning of mathematical concepts as opposed to memorization. This Advanced Algebra and Trigonometry textbook fosters Student Success and enables the Teaching of math concepts because of the extra amount of time allowed to master these needed concepts.


Critical Thinking Approach to Pre-Calculus has been recommended for students who want to understand and learn advanced algebra concepts as opposed to memorizing them. Pre-Calculus is becoming critical for all branches of science and industry because students need to take Calculus because it is the gateway to any degree that supports better paying positions.


Critical Thinking Approach to Pre-Calculus contains the Advanced or College Algebra and Trigonometry needed to understand calculus. normally taught in 12h grade or in college course. Students struggle with Pre-Calculus through no fault of their own. Pre-Calculus has its own unique language and set of rules, and the frustration experienced by students can result in a loss of self-confidence. Critical Thinking Approach to Pre-Calculus 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 Pre-Calculus Text in the Arithmetic to Algebra through Pre-Calculus Series contains all necessary topics needed to understand Calculus. The complete Table of Contents for Pre-Calculus text is presented at the bottom of this web-page.




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Each Section in Pre-Calculus is followed by 4 sets of exercises: Exercises for Vocabulary, Exercises for Computation, Exercises for Understanding, 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 concepts associated with pre-calculus.



THE TEXTS FOR PRE-CALCULUS


Available with Critical Thinking Approach to Pre-Calculus 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 Instructor's Manual contains teaching and testing hints, 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 Chapter) 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 of the content by students.

Self-study using pre-calculus.

SELF-STUDY USING PRE-CALCULUS


 
 
TESTIMONIALS and CUSTOMER COMMENTS

"Our students do not have as good a mathematics background as most students when they start our Pre-Calculus course. I was concerned that they would not be able to understand these concepts and not be very successful. However, because of the good explanations and other types of exercises they not only understood the concepts but also enjoyed the course.

"We had difficulty covering the text, but we are going to adopt the first two algebra texts in this series and that will make a big difference in the future because our students will be better prepared for pre-calculus."

"The presentation of functions is the best I have ever seen. Students really understood what they were doing and could discuss these concepts with each other and other instructors."

"The presentation of trigonometry, especially the identities, is outstanding"

"We are home schooling our five children and our second daughter who usually likes math was having a problem with learning Precalculus. We were using the popular text for this subject and hired a tutor from the local college to help her. She had given up on pursuing a college course in some medical field. Then we switched to your Pre-Calculus Text. We no longer needed the tutor, she is pursuing her choice in the university, and she was one of the few freshmen who passed the mathematics entrance exam and went into calculus. Thank you."

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PRICE AND ORDERING INFORMATION

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"NEW" The Second Edition of the Critical Thinking Approach to Pre-Calculus
has a new reenforced plastic binding. This new binding will last many years with normal wear.


Title:Critical Thinking Approach to Pre-Calculus
ISBN# 1-888679-36-0  Code 6500 Subject: Advanced Algebra, Analytic Geometry, & Trigonometry

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Binding: Hardcover

440 pages
Size = 7" X 10"
Price: $53.00

Beginning Algebra Text





Title:Instructor's Manual for Critical Thinking Approach to Pre-Calcu;us
with Complete answers;
ISBN # 1-888679-46-8  Code 6510 Subject: Advanced Algebra, Analytic Geometry, & Trigonometry

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Binding: Soft cover

127 pages
Size = 8.5" X 11"
Price: $15.50

Beginning Algebra Text





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

ISBN
# 1-888679-56-5 
Code 6520 Subject: Advanced Algebra, Alalytic Geometry, & Trigonometry

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Binding:
Shrink Pak

50 pages
Size = 8.5" X 11"
Price: $6.50

Beginning Algebra Text





Title:Complete Set for Critical Thinking Approach to Pre-Calculus
Student Text, Instructor's Manual and Test Kit 
ISBN # 1-888679-66-2  Code 6540 Subject: Advanced Algebra

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Price: $73.00

Beginning Algebra Text


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After all this preparation I wonder if they will understand.



TABLE OF CONTENTS for Critical Thinking Approach to Pre-Calculus

CHAPTER 1 FUNCTIONS, LINEAR FUNCTIONS AND INEQUALITIES 
SECTION A INTRODUCTION TO FUNCTIONS 
SECTION B ZERO OF FUNCTIONS
SECTION C GRAPHS OF FUNCTIONS
SECTION D LINEAR FUNCTIONS 
SECTION E  INVERSE LINEAR FUNCTIONS
SECTION F LINEAR INEQUALITIES 
   
CHAPTER 2 QUADRATIC FUNCTIONS AND INEQUALITIES
SECTION A INTRODUCTION TO QUADRATIC FUNCTIONS 
SECTION B  GRAPHING QUADRATIC FUNCTIONS
SECTION C QUADRATIC FUNCTIONS WHICH SATISFY GIVEN CONDITIONS
SECTION D INTERSECTION OF GRAPHS
SECTION E  QUADRATIC AND LINEAR INEQUALITIES 
   
CHAPTER 3 POLYNOMIAL RATIONAL AND ALGEBRAIC FUNCTIONS
SECTION A  INTERVALS
SECTION B  INTRODUCTION TO INTERPRETING GRAPHS 
SECTION C POLYNOMIAL FUNCTIONS
SECTION D  GRAPHS OF POLYNOMIAL FUNCTIONS 
SECTION E  RATIONAL FUNCTIONS 
SECTION F  ALGEBRAIC FUNCTIONS 
   
CHAPTER 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
SECTION A POWERS OF NUMBERS 
SECTION B  EXPONENTIAL FUNCTION
SECTION C APPLICATIONS OF THE EXPONENTIAL FUNCTION
SECTION D LOGARITHMIC FUNCTIONS
SECTION E APPLICATIONS OF THE LOGARITHMIC FUNCTION 
   
CHAPTER 5 TRIANGLE TRIGONOMETRY 
SECTION A ANGLES
SECTION B TRIGONOMETRIC FUNCTIONS
SECTION C ANGLES WITH SOME RATIONAL TRIGONOMETRIC FUNCTIONS
SECTION D SOLUTION OF RIGHT TRIANGLES
SECTION E SOLUTION OF OBLIQUE TRIANGLES 
   
CHAPTER 6 FORMULAS AND IDENTITIES 
SECTION A IDENTITIES 
SECTION B ADDITION AND REDUCTION FORMULAS
SECTION C MULTIPLE ANGLE FORMULAS 
SECTION D CONDITIONAL EQUATIONS 
   
CHAPTER 7 GRAPHS OF CIRCULAR FUNCTIONS
SECTION A PERIODIC FUNCTIONS 
SECTION B GRAPHS OF SINE AND COSINE 
SECTION C GRAPHS OF THE TANGENT, COTANGENT SECANT, AND COSECANT
SECTION D GRAPHS OF INVERSE CIRCULAR FUNCTIONS 
   
CHAPTER 8 APPLICATIONS OF CIRCULAR FUNCTIONS
SECTION A  GENERAL SINUSOIDAL FUNCTION 
SECTION B HARMONIC FUNCTION 
SECTION C POLAR COORDINATE SYSTEM 
SECTION D  COMPLEX NUMBERS IN POLAR COORDINATES 
SECTION E VECTORS 
SECTION F MATHEMATICAL INDUCTION AND SEQUENCES 
   
ANSWERS TO ODD NUMBERED EXERCISES 
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