[Book Cover]

Prealgebra, 2/e

K. Elayn Martin-Gay, University of New Orleans, Lakefront

Published March, 1997 by Prentice Hall Engineering/Science/Mathematics

Copyright 1997, 710 pp.
Paper
ISBN 0-13-242470-3


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    Prealgebra (Basic Math with very Early Algebra)-Mathematics


Summary

This text's clear, well-constructed and straightforward writing style makes it accessible to even the most apprehensive math students. The primary focus of the pedagogy, presentation and other elements is to ease the transition into algebra; for example, emphasis is placed on basic arithmetic operations within algebraic contexts. The Second Edition includes a greater integration of NCTM and AMATYC standards, including more emphasis on visualization, problem solving and data analysis.

Features


Variables (Ch. 1) and signed numbers (Ch. 2) are introduced early and frequently referred to throughout. Students benefit from this early and repeated exposure and are encouraged to think mathematically.
Accessible Presentation:

  • Writing style is clear and direct.
  • Many explanations are provided.
  • Pedagogy is ample and accessible.
Treatment of calculators is integrated in separate boxes and noted in exercise sets to give Instructors flexibility on when and how they want to integrate technology into their course.
Mental Math boxes ask students to employ analytical skills and solve problems intuitively and without a pencil. They can be used as in-class oral exercises or as preludes to exercise sets.
Conceptual Exercises, identified by an icon, are written to help students asses their understanding of concepts in a section.
  • Also helps develop pattern recognition.
The paperback format can double as a workbook. Notes can be written in margins, solutions can be worked right next to problems.
Practice Problems are found in the margins next to examples - this allows students to check their understanding of a concept before continuing.
Cumulative Reviews in every chapter include worked examples from previous chapters. Students can find the answers in an appendix, as well as a reference to where the problem first appeared so that a complete solution is available to them if needed.
  • Similar Skill Reviews are featured at the end of every section.
Group Activities at the end chapters emphasize critical thinking and problem solving.
Problem Solving exercises are featured throughout and are highlighted in exercise sets.
Geometry concepts and applications are incorporated where appropriate.
NEWEmphasis on analyzing data has been increased. Bar graphs, circle graphs, and real data are included where applicable to emphasize the (sometimes visual) connection between data analysis and math.
  • Teaches students the importance and purpose of reading charts and graphs.
NEWA step by step problem-solving approach is featured with a variety of realistic problems.
NEWSkills Practice applied exercises throughout help mathematically challenged students make connections between math, other courses and the real world.
NEWUnique chapter openers feature vignettes and related photographs demonstrating real-life applications of mathematics. Vignettes are summarized at ends of chapters with boxes stressing problem- solving critical thinking skills, and group activities.
  • Can be used as collaborative activities.
NEW—All problem-solving sections have been updated to incorporate real data from a variety of disciplines: environmental science, allied health, astronomy, business, etc.
  • USA Today and other well-known sources are used.
NEWReminders (formerly Helpful Hints) alert students to trouble areas and provide encouragement and suggestions to avoid common errors.
NEWDefinitions are clearly explained, both visually (definitions are summarized and highlighted by color) and by worked example. Ideal for visual learners, and/or for those who learn best by example.


Table of Contents
(NOTE: Each chapter ends with highlights, review, test and cumulative review.)
    1. Whole Numbers and Introduction to Algebra.

      Place Value and Reading Tables. Adding Whole Numbers and Perimeter. Subtracting Whole Numbers. Rounding and Estimating. Multiplying Whole Numbers and Area. Dividing Whole Numbers. Exponents and Order of Operations. Introduction toVariables and Algebraic Expressions.

    2. Integers.

      Introduction to Integers. Adding Integers. Subtracting Integers. Multiplying and Dividing Integers. Order of Operations.

    3. Solving Equations and Problem Solving.

      Simplifying Algebraic Expressions. Solving Equations: The Addition Property of Equality. Solving Equations: The Division Property of Equality. Solving Linear Equations in One Variable. Linear Equations in One Variable and Problem Solving. Perimeter and Problem Solving.

    4. Fractions.

      Introduction to Fractions and Equivalent Fractions. Factors and Lowest Terms. Multiplying and Dividing Fractions. Adding and Subtracting Like Fractions and Least Common Denominator. Adding and Subtracting Fractions with Unlike Denominators. Complex Fractions and Review of Operations. Solving Equations Containing Fractions. Operations on Mixed Numbers.

    5. Decimals.

      Introduction to Decimals. Adding and Subtracting Decimals. Multiplying Decimals and Circumference of a Circle. Dividing Decimals. Estimating and Review of Operations. Fractions and Decimals. Equations Containing Decimals. Square Roots and the Pythagorean Theorem. Area and Volume.

    6. Graphing and Introduction to Statistics.

      Reading Graphs. Rectangular Coordinate System. Graphing Linear Equations. Averages, Medians, and Modes.

    7. Ratio, Proportion, and Measurement.

      Ratios. Proportions. Problem Solving with Proportions and Similar Triangles. Length: U.S. and Metric Systems of Measurement. Weight and Mass. Capacity: U.S. and Metric Systems of Measurement. Temperature.

    8. Percent.

      Percents, Decimals, and Fractions. Percent Equations and Problem Solving. Interest. Sales Tax and Wages. Percent Increase and Percent Decrease.

    9. Polynomials.

      Adding and Subtracting Polynomials. Multiplication Properties of Exponents. Multiplying Polynomials. Introduction to Factoring Polynomials.

    Appendices.

      A. Addition Table and One Hundred Addition Facts. B. Multiplication Table and One Hundred Multiplication Facts. C. Table of Squares and Square Roots. D. Compound Interest Table. E. Review of Geometric Figures. F. Review of Angles, Lines, and Special Triangles. G. Answers to Selected Exercises.

    Index.


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