Basic College Mathematics, 3/e
Jeffrey Slater, North Shore Community College
John Tobey, North Shore Community College
Published August, 1997 by Prentice Hall Engineering/Science/Mathematics
Copyright 1998, 608 pp.
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Suitable for Basic College Mathematics courses including
lecture-based classes, discussion oriented classes, self-paced classes,
mathematics labs, and computer or audio-visual supported learning
centers. This clear, accessible treatment of basic college mathematics
features an enhanced problem-solving strategy highlighted by A Mathematics
Blueprint for Problem Solving that helps students determine where
to begin the problem-solving process, as well as how to plan subsequent
problem-solving steps. Also includes Step-by-Step Procedure, realistic
Applications, and Cooperative Learning Activities in Putting Your
Skills to Work.
NEW15% new exercises, written to ensure
smooth transition from confidence-building to more rigorous within
each exercise set and to ensure correct matching of even and odd-numbered
NEW30% new applications, written to
incorporate more interesting, real-world data in order to increase
student interest and help students apply math learned in the classroom
to the world around them.
NEW80% new Putting Your Skills to Work
applications, written to encourage students to explore mathematics
in the world around them using an increased number of current, sourced
data. Pg. 57, 153, 198
NEWInternet Connections are found at
the end of every Putting Your Skills to Work page. Through the Prentice
hall website (www.prenhall.com/tobey), students will link to appropriate
Internet addresses where they will gather data necessary to complete
the problem. Pg. 57, 153, 198
NEWAn updated 4-color design that incorporates
many graphs and charts to help students learn to read, analyze and
interpret the types of data they see presented in many newspapers
A Mathematical Blueprint for Problem Solving provides
a Step-by-Step strategy that helps students carry out and implement
problem solving. This technique can be applied to solving single and
multi-step problems, applications and non-routine exercises. Especially
appropriate for first time problem solving situations. Pg. 73-75,
Calculator Boxes - scientific calculator boxes appear
in the margin and exercises best solved with a calculator are indicated
by a calculator icon. Pg. 191, 363, 365
A Diagnostic Pretest covers the entire course. Pg.
Provides a section on estimation (section 1.7) and
encourages students to use estimation skills throughout the text
as a way to check applications solutions. Pg. 66-69, 154, 365, 419
Realistic, relevant applications appear in each chapter's
Examples and Exercises. 30 % of the applications are new and incorporate
more real-world data. Students see the uses of what they are learning
right in front of them and are able to apply it. Pg. 227, 343
Putting Your Skills to Work are full page applications,
80 % - 90 % of which are new. Pg. 270, 276
Developing Your Study Skills were written to help
students develop winning study habits that will benefit them in all
their courses, not just in mathematics. Pg. 18, 46, 128, and throughout.
- Each page application includes problems for both individual
and group exploration. Pg. 57, 153, 198
- Each application includes an optional Internet
Connection problem in which students are encouraged to link
to various websites in order to get information for problem solving.
Pg. 57, 153, 198
- Cooperative Learning: The problems that are included
involve critical thinking skills that can be applied to answer the
many open response questions that are throughout the Putting Your
Skills to Work sections.
- Putting Your Skills to Work Applications are consistent
with AMATYC and NCTM Standards.
Examples and exercises have been carefully chosen
to guide students through Basic College Mathematics. Each example
is followed by a Practice Problem.
Chapter Organizers: The concepts and mathematical
procedures covered in each chapter is reviewed at the end of the chapter
in a Chapter Organizer. It not only lists concepts and methods,
but provides a completely worked out example for each type of
problem. Pg. 449, 325
- Chapter Pretests: each chapter opens with a concise
pretest to familiarize the student with the learning objectives for
that particular chapter.
- Practice Problems: these are found throughout the
chapter, after the examples, and are designed to provide your students
with immediate practice of the skills presented. Solutions to the
Practice Problems are provided in the Selected Answer section
at the end of the text.
- To Think About: these critical thinking questions
follow many of the examples in the text and also appear in the exercise
sets. Designated by a special heading, they extend the concept being
taught; providing the opportunity for students to look for patterns,
and to make conclusions based on their previous experience. Pg. 189,
- Exercise Sets: 15 % brand new exercises help
to ease the students into problems; and answers provide students with
- Verbal and Writing exercises have been included at the
beginning of many exercise sets. Pg. 100, 350
- Cumulative Review Problems: each exercise set concludes
with a section of Cumulative Review Problems. These problems
review topics previously covered within that particular chapter, and
are included to assist students in retaining the material. Pg. 117,
- Technology Problems: Technology boxes in the margin
of text have been updated to reflect relevance to the material presented.
A few graphing calculator boxes and exercises have been added and
incorporated into this edition. In the exercise section a calculator
icon is used to indicate problems that are designed for solving with
a calculator. Pg. 343, 431
John or Jeff will be glad to talk with you or any
potential faculty adopters. You can reach them at the college at (508)
762-4000 ext. 5585 or on email at firstname.lastname@example.org or email@example.com.
Feel free to call or email them with any questions or requests for
help. They will be glad to personally assist you.
- Review Problems: these problems are organized by
section for quick review at the end of the chapter. These problems
can also be used by the student as a quiz of the chapter material.
Pg. 328, 453
- Tests: found at the end of the chapter, the Chapter
Test is a representative review of the material from that particular
chapter that simulates an actual test. This provides the students
with a gauge to their preparedness for the actual examination. Pg.
- Cumulative Tests: at the end of each chapter, beginning
with Chapter 2, is a Cumulative Test. One-half of the content
of each Cumulative Test is based on the math concepts learned
in previous chapters. By completing these tests for each chapter,
the students build confidence that they have mastered not only the
contents of the present chapter but of the previous chapters as well.
Pg. 333, 461
(Note: Each chapter begins with a Pretest and concludes
with a Chapter Organizer, Review Problems, Chapter Test and Cumulative
1. Whole Numbers.
Understanding Whole Numbers. Addition of Whole Numbers.
Subtraction of Whole Numbers. Multiplication of Whole Numbers. Division
of Whole Numbers. Putting Your Skills To Work: Buying Or Leasing
a Car. Exponents and Order of Operations. Rounding and Estimation.
Understanding Fractions. Simplifying Fractions. Improper
Fractions and Mixed Numbers. Multiplication of Fractions and Mixed
Numbers. Division of Fractions and Mixed Numbers. The Least Common
Denominator and Building up Fractions. Addition and Subtraction of
Fractions. Addition and Subtraction of Mixed Numbers. Putting Your
Skills To Work: Farming on the Halves. Applied Problems Involving
Decimal Notation. Compare, Order, and Round Decimals. Addition
and Subtraction of Decimals. Putting Your Skills To Work: Personal
Checking Account. Multiplication of Decimals. Division of Decimals.
Converting Fractions to Decimals and Order of Operations. Applied
Problems Using Decimals.
4. Ratio and Proportion.
Ratios and Rates. The Concept of Proportions. Solving Proportions.
Applications of Proportions. Putting Your Skills To Work: How Crowded
Is This City? Putting Your Skills To Work: College Budget Problems.
Understanding Percent. Changing Between Percents, Decimals,
and Fractions. (A)Solving Percent Problems Using an Equation. (B)Solving
Percent Problems Using a Proportion. Solving Applied Percent Problems.
Putting Your Skills To Work: Percentages of Beverages Consumed
in the U.S..
American Units. Metric Measurements: Length. Metric Measurements:
Volume and Weight. Conversion of Units (Optional). Putting Your
Skills To Work: The Mathematics of Computer Capacity. Applied Problems.
Rectangles and Squares. Parallelograms and Trapezoids. Angles
and Triangles. Square Roots. The Pythagorean Theorem. Circles. Volume.
Putting Your Skills To Work: The Mathematical Detective. Similar
Geometric Figures. Applications Of Geometry.
Circle Graphs. Bar Graphs and Line Graphs. Putting Your
Skills to Work: The Aging of America's Trucks. Histograms. Mean
9. Signed Numbers.
Addition of Signed Numbers. Subtraction of Signed Numbers.
Multiplication and Division of Signed Numbers. Order of Operations
with Signed Numbers. Putting Your Skills to Work: Mathematics of
Universal Time. Scientific Notation.
10. Introduction to Algebra.
Variables and Like Terms. The Distributive Property. Solve
Equations Using the Addition Property. Solve Equations Using the Division
or Multiplication Property. Solve Equations Using Two Properties.
Putting Your Skills to Work: Using Mathematics to Predict Population
Increases. Translating English to Algebra. Applications.
Practice Final Examination.
Appendix A: Tables: Basic Addition Facts. Basic Multiplication
Facts. Prime Factors. Square Roots.
Appendix B: The Use of a Scientific Calculator.
Solutions to Practice Problems.
Index of Applications.