ARITHMETIC TO ALGEBRA
THROUGH PRE-CALCULUS
TEXTBOOKS

CRITICAL THINKING APPROACH
to INTERMEDIATE ALGEBRA
Second Printing

Units 16 - 22
Chapters 1-7
   

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ABOUT THIS TEXT

Text Critical Thinking Approach to Intermediate Algebra (Second Year Algebra) 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 Algebra 2 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 Intermediate Algebra has been recommended for students who want to understand and learn quadratic algebra concepts as opposed to memorizing them. Available soon will be a new additional Chapter on "Related Quadratic Topics". This topic is needed in many branches of science and industry because students need to know Conics.


Critical Thinking Approach to Intermediate Algebra contains the curriculum for a second year Algebra math course normally taught in 11th grade or in a review sequence in college. Many students struggle with quadratic algebra through no fault of their own. Quadratic 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. The difficult topics of "quadratic factoring" and "completing the square" and all other topics are presented in 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 Intermediate Algebra Text in the Arithmetic to Algebra through Pre-Calculus Series contains all necessary topics needed to understand the next course, Probability and Statistics, Pre-Calculus, or Advanced Algebra. The complete Table of Contents for Intermediate Algebra text is presented at the bottom of this web-page.




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Each Unit in Critical Thinking Approach to Intermediate Algebra contains 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 and algebraic concepts.


Available with Critical Thinking Approach to Intermediate 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 intermediate algebra.
THE TEXTS FOR INTERMEDIATE ALGEBRA

The Instructor's Manual contains teaching and testing hints, possible schedule, the student copies for Problems for Problem Solving, and the 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 suggestion and guidance of the University of Chicago Testing Department. These multiple-choice tests are designed to test mastery of the content by students.

Home schooling with intermediate algebra.
HOME SCHOOLING USING INTERMEDIATE ALGEBRA

TESTIMONIALS and CUSTOMER COMMENTS

"Students enjoyed the method of completing the square presented and were better prepared to understand and use the quadratic formula. Students had few problems with factoring and the technique for factoring trinomials with coefficients greater than one eliminated the usual problems encountered by students."

"Students had an unusually good command of math vocabulary because of the Exercises for Vocabulary: students understood the content and were able to give examples when asking questions. The Mean MAA Test score rose from .459 to .607."

"The methods for factoring quadratic trinomials is the best presentation I have ever seen. Students really understood what they were doing, consequently enjoyed this topic."

"This company honestly knows what "customer service" is and what it means to an individual customer."








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


Title:Critical Thinking Approach to Intermediate Algebra
ISBN # 1-888679-04-2  Code 5400 Subject: Intermediate Algebra

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Binding: Hardcover

286 pages
Size = 7" X 10"
Price: $45.00

Beginning Algebra Text




Title:Instructor's Manual for Critical Thinking Approach to Intermediate Algebra
with Complete answers;
ISBN # 1-888679-14-X  Code 5410 Subject: Intermediate Algebra

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Binding: Soft cover

90 pages
Size = 8.5" X 11"
Price:$13.50

Intermediate 
Algebra Text





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

ISBN#
1-888679-24-7 
Code 5420 Subject: Intermediate Algebra

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Binding:
Shrink Pak

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

Beginning Algebra Text





Title:Complete Set for Critical Thinking Approach to Intermediate Algebra
Student Text, Instructor's Manual and Test Kit 
ISBN # 1-888679-32-8  Code 5440 Subject: Intermediate Algebra

Authors: Melvin Poage, Carl Arendsen, Delano Wegener

Price: $62.00

Intermediate Algebra Text




 
 

TABLE OF CONTENTS for Critical Thinking Approach to Intermediate Algebra

UNIT 16 RADICALS 
SECTION A  SUBSETS OF REAL NUMBERS 
SECTION B  INTRODUCTION TO RADICALS 
SECTION C  MULTIPLICATION OF RADICALS 
SECTION D  ADDITION OF RADICALS 
SECTION E  FRACTIONS INVOLVING RADICALS 
SECTION F  EQUATIONS INVOLVING RADICALS 
   
UNIT 17 POLYNOMIAL OPERATIONS
SECTION A  PROPERTIES AND CLASSIFICATIONS OF POLYNOMIALS 
SECTION B  ADDITION OF POLYNOMIALS 
SECTION C  MULTIPLICATION OF POLYNOMIALS 
SECTION D  COMMON MONOMIAL FACTORS 
   
UNIT 18 FACTORIZATION OF QUADRATIC POLYNOMIALS
SECTION A  PRIME AND COMPOSITE POLYNOMIALS 
SECTION B  SPECIAL POLYNOMIALS 
SECTION C  FACTORING TRINOMIALS WITH LEADING COEFFICIENT EQUAL TO ONE 
SECTION D  FACTORING TRINOMIALS WITH LEADING COEFFICIENT GREATER THAN ONE 
SECTION E  COMBINATIONS OF FACTORING TECHNIQUES 
   
UNIT 19 SOLVING QUADRATIC EQUATIONS
SECTION A  FACTORS AND ZEROS OF POLYNOMIALS 
SECTION B  COMPLETING THE SQUARE 
SECTION C  QUADRATIC FORMULA AND DISCRIMINANT 
SECTION D  PRIME TRINOMIALS 
   
UNIT 20 RATIONAL EXPONENTS
SECTION A  INTEGRAL EXPONENTS 
SECTION B  EXPONENTIAL COMPUTATION 
SECTION C  RATIONAL EXPONENTS 
SECTION D  MULTIPLICATION OF POLYNOMIALS 
SECTION E  OPERATIONS INVOLVING EXPONENTIALS WITH RATIONAL EXPONENTS 
   
UNIT 21 RATIONAL EXPRESSIONS
SECTION A  INTRODUCTION TO RATIONAL EXPRESSIONS 
SECTION B  MULTIPLYING AND DIVIDING RATIONAL EXPRESSIONS 
SECTION C  THREE SIGNS OF A RATIONAL EXPRESSION 
SECTION D  ADDITION & SUBTRACTION OF RATIONAL EXPRESSIONS 
SECTION E  EQUATIONS INVOLVING RATIONAL EXPRESSIONS 
   
UNIT 22 QUADRATIC COMPLEX NUMBERS
SECTION A  INTRODUCTION TO COMPLEX NUMBERS 
SECTION B  GRAPHING, ADDING, & MULTIPLYING COMPLEX NUMBERS 
SECTION C  CONJUGATE, ABSOLUTE VALUE, AND DIVISION OF COMPLEX NUMBERS 
SECTION D  EQUATIONS INVOLVING COMPLEX NUMBERS 
SECTION E  DISTANCES OF POINTS IN PLANES 
   
ANSWERS TO ODD NUMBERED EXERCISES