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Addison-Wesley / Prentice Hall

Mathematics

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Basic Mathematics through Applications
Geoffrey AkstBorough of Manhattan Community College, City University of New York
Bragg

ISBN-10: 0201312220
ISBN-13:  9780201312225

Publisher:  Pearson
Copyright:  2001
Format:  Paper; 573 pp
Published:  07/21/2000

The first title in a new series, Basic Mathematics through Applications truly focuses on content relevant to students. Throughout the text, motivating real-world applications, examples, and exercises demonstrate how integral mathematical understanding is to student mastery in other disciplines, a variety of occupations, and everyday situations. A distinctive side-by-side format pairing an example with a corresponding practice exercise encourages students to get actively involved in the mathematical content from the start. Unique Mindstretchers target different levels and types of student understanding in one comprehensive problem set per section incorporating related investigation, critical thinking, reasoning, and pattern recognition exercises along with corresponding group work and historical connections. Compelling Historical Notes give students further evidence that mathematics grew out of a universal need to find efficient solutions to everyday problems. Plenty of practice exercises provide ample opportunity for students to thoroughly master basic mathematics skills and develop confidence in their understanding.

  • Applications model real-world situations, showing the connection between mathematical concepts and students' everyday lives, including the connection to other disciplines. Pg. 69, 155, 223
  • An interactive environment encourages student involvement through a motivating writing style, questioning techniques, and practice problems. Pg. 114, 292
  • Side-by-side format pairs examples with corresponding practice exercises, encouraging active learning from the start. Pg. 33, 98, 308
  • An intuitive approach to learning asks students to investigate concepts, recognize patterns, develop reasoning and estimation techniques, and visualize geometry. Pg. 33, 122
  • Plenty of practice exercises reinforce mathematical skills. Pg. 110 and throughout.
  • Technology is optional and incorporated as appropriate in a variety of exercises using a scientific calculator. Pg.57, 183, 197. An Introduction to Calculators is provided in the back of the book as well.
  • Writing exercises are integrated throughout, including optional journal entries suggested in instructor's teaching tips in the Annotated Instructor's Edition. Pg. 95, 236, 245
  • Mindstretcher activities incorporate related investigation, critical thinking, reasoning, and pattern recognition exercises along with corresponding group work and historical connections in one comprehensive problem set per section targeting different levels and types of student understanding. Pg. 28, 90, 242
  • Historical Notes investigate the origins of mathematical concepts, discussing and illustrating the evolution of mathematics over the centuries, in many cultures, and throughout the world. Pg. 227, 302
  • A Pretest/Posttest feature helps students test their understanding both at the beginning and at the end of each chapter. Pg. 80, 158
  • Tips help students avoid common errors and give other helpful suggestions to foster understanding. Pg. 56, 120, 305

(All chapters begin with a Pretest and conclude with Key Concepts and Skills, Review Exercises and Posttest Sections. Every chapter, except Chapter 1, concludes with Cumulative Review Exercises.)

1. Whole Numbers.

Introduction to Whole Numbers.

Adding and Subtracting Whole Numbers.

Multiplying Whole Numbers.

Dividing Whole Numbers.

Exponents, Order of Operations, and Averages.

More on Solving World Problems.



2. Fractions.

Factors and Prime Numbers.

Introduction to Fractions.

Adding and Subtracting Fractions.

Multiplying and Dividing Fractions.



3. Decimals.

Introduction to Decimals.

Adding and Subtracting Decimals.

Multiplying Decimals.

Dividing Decimals.



4. Basic Algebra: Solving Simple Equations.

Introduction to Basic Algebra.

Solving Addition and Subtraction Equations.

Solving Multiplication and Division Equations.



5. Ratio and Proportion.

Introduction to Ratios.

Solving Proportions.



6. Percents.

Introduction to Percents.

Solving Percent Problems.

More on Percents.



7. Signed Numbers.

Introduction to Signed Numbers.

Adding Signed Numbers.

Subtracting Signed Numbers.

Multiplying Signed Numbers.

Dividing Signed Numbers.



8. Basic Statistics.

Introduction to Basic Statistics.

Tables and Graphs.



9. More on Algebra.

Solving Two-Step Equations.

Solving Multistep Equations.

Using Formulas.



10. Measurement and Units.

U.S. Customary Units.

Metric Units and Metric/U.S. Customary Unit Conversions.



11. Basic Geometry.

Introduction to Basic Geometry.

Perimeter and Circumference.

Area.

Volume.

Similar Triangles.

Square Roots and the Pythagorean Theorem.



Appendix.

The Times Table.

Common Fraction, Decimal, and Percent Equivalents.

A Table of Squares and Square Roots.



Introduction to Calculators.


Answers.


Glossary.


Index.


Index of Applications.


Video Index.

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