[Book Cover]

Introductory Algebra, 1/e

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

Published August, 1998 by Prentice Hall Engineering/Science/Mathematics

Copyright 1999, 818 pp.
Paper
ISBN 0-13-228834-6


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    Beginning Algebra-Mathematics


Summary

For courses in Basic College Mathematics, Introductory Algebra, and Intermediate Algebra respectively. This engaging workbook series combines a student-friendly approach to the concepts of basic math and algebra, giving students ample opportunity to practice skills and see how those skills relate to both their lives and the real world. The goals of the worktexts are to: 1) ensure that students have the most up-to-date, relevant text preparation for their next math course; 2) enhance students' perception of math by exposing them to real-life situations through graphs and applications; and 3) ensure that students have an organized, integrated learning system at their fingertips. The worktext package features the text and text-specific supplements, including Martin-Gay's acclaimed tutorial videotapes.

Features


Real-life applications—Presents a diverse array of applications—many based on real data from a variety of fields—that are unparalleled in terms of quantity, quality, degree of integration, nontrivial use of real data, variety of disciplines, and level of interest.

  • Highlights the relevance of math to various careers and life outside of class.
    Ex. See Pg. xiii in Index of Applications.
Concept Checks—Features skill-based margin exercises that allow students to gauge their understanding of a concept as it is explained in the text.
  • Stresses conceptual understanding of topics, helps reinforce the understanding of concepts and helps squash misconceptions before students move further into their study.
    Ex:
    BCM Pg. 120
    Intro Pg. 165
    Intermediate Pg. 132
Chapter Activity—Offers opportunities for individual or group projects, forms a hands-on or data-related complement and extends the concepts in the chapter.
  • Requires students to make decisions and interpretations, and to think and write about algebra—both making them more active participants in the learning process.
    Ex:
    BCM Pg. 147
    Intro Pg. 175
    Intermediate Pg. 151
Integrated Reviews—Provides appropriately placed mid-chapter reviews that allow students to review and assimilate the different skills learned separately over several sections before moving on to related material in the chapter.
  • Affords students the opportunity to see mixtures of different types of problems before they see them on a test.
    Ex:
    BCM Pg. 127
    Intro Pg. 127
    Intermediate Pg. 127
Mental Mathematics exercises—Opens most exercise sets with intuitive warm-ups that reinforce concepts.
  • Helps students gain number sense and estimation abilities while building their confidence to take on the upcoming exercises.
    Ex:
    BCM Pg. 107
    Intro Pg. 105
    Intermediate Pg. 121
Focus On: sections—Presents special-interest areas throughout each chapter divided into Focus on Study Skills, Focus on History, Focus on Mathematical Connections, Focus on the Real World, and Focus on Business and Career.
  • Reveals to students the relevance of mathematics through critical-thinking exercises and group activities.
    Ex:
    BCM Pg. 154
    Intro Pg. 113
    Intermediate Pg. 120
Combing Concepts exercises—Closes each exercise set by requiring students to combine several concepts from each section.
  • Offers students a vehicle to refresh their memories and gain an overview of valuable skills so that they're better prepared for tests.
    Ex:
    BCM Pg. 137
    Intro Pg. 116
    Intermediate Pg. 126
Internet Excursions in each chapter—Requires students to use the Internet as a data-collection tool to complete exercises, allowing students first-hand experience with manipulating/working with real data.
  • Extends understanding beyond the classroom and past the printed page, engaging students in relevant assignments using today's hottest medium.
    Ex:
    BCM Pg. 195
    Intro Pg. 173
    Intermediate Pg. 137
Chapter Highlights—Closes chapters by presenting key definitions, concepts, and examples.
  • Helps students understand and retain what they have learned.
    Ex:
    BCM Pg. 148
    Intro Pg. 176
    Intermediate Pg. 152
Classic Martin-Gay pedagogy—Provides Chapter Openers, Pretests, Helpful Hints, Review and Preview exercises, Chapter Reviews, Cumulative Reviews, and approximately 550 worked examples and 4000 exercises incorporated and influenced by Martin-Gay's hardback series.
  • Guides students through apparatus that reinforces and applies their knowledge to build a solid understanding of essential concepts. Ex:
    BCM Pg. 151
    Intro Pg. 179
    Intermediate Pg. 163
NCTM and AMATYC Standards—Reflects current standards in Focus On Mathematical Connections, the Four-Step Problem-Solving Process, Concept Checks and Combining Concepts exercises, Mental Mathematics, and other features of the text.
  • All combine to give instructors opportunities to incorporate these qualities into the classroom and to make the math more interesting and meaningful to students.
    Ex. Show Preface Walkthrough
Calculator Explorations—Presents calculator activities, tips and keystrokes.
  • Engages students in current technological tools and techniques, developing their abilities to understand and use the same or similar tools in their own careers.
    Ex:
    BCM Pg. 416
    Intro Pg. 461
    Intermediate Pg. 432


Table of Contents
    1. The Whole Numbers.

      Place Value and Names for Numbers. Adding Whole Numbers. Subtracting Whole Numbers. Rounding and Estimating. Multiplying Whole Numbers. Dividing Whole Numbers. Exponents and Order of Operations. Introduction to Problem Solving.

    2. Multiplying and Dividing Fraction.

      Introduction to Fractions and Mixed Numbers. Factors and Prime Factorization. Simplest Form. Multiplying Fractions. Dividing Fractions.

    3. Adding and Subtracting Fractions.

      Adding and Subtracting Like Fractions. Least Common Multiple. Adding and Subtracting Unlike Fractions. Adding and Subtracting Mixed Numbers. Order, Exponents, and Order of Operations.

    4. Decimals.

      Introduction to Decimals. Order and Rounding. Adding and Subtracting Decimals. Multiplying Decimals. Dividing Decimals. Estimating. Converting Fractions and Decimals.

    5. Ratio and Proportion.

      Ratios. Rates. Proportions. Proportion and Problem Solving. Similar Triangles.

    6. Percent.

      Introduction to Percent. Percents and Fractions. Solving Percent Problems and Equations. Solving Percent Problems with Proportions. Percent and Problem Solving: Percent Increase, Decrease, and Discounts. Percent and Problem Solving: Sales Tax and Commission. Percent and Problem Solving: Interest.

    7. Statistics and Probability.

      Reading Bar Graphs, Line Graphs, and Pictographs. Reading Circle Graphs. Reading Histograms and Frequency Polygons. Mean, Median, and Mode. Counting With Tree Diagrams. Introduction to Probability.

    8. Measurement.

      Length: U.S. and Metric Systems of Measurement. Weight and Mass. Capacity: U.S. and Metric Systems of Measurement. Temperature. Conversion between U.S. and Metric Units.

    9. Geometry.

      Lines and Angles. Plane figures and Solids. Perimeter. Area. Volume. Square Roots and the Pythagorean Theorem. Congruent Triangles.

    10. The Real Numbers.

      The Real Number System. Adding Real Numbers. Subtracting Real Numbers. Multiplying Real Numbers. Dividing Real Numbers. Order of Operations.

    11. Introduction to Algebra.

      Introduction to Variables. Solving Equations Using Addition and Subtraction. Solving Equations Using Multiplication and Division. Solving Equations Involving Many Steps. Equations and Problem Solving.


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