INSTRUCTOR’S EDITION

Jeffrey BennettUniversity of Colorado at Boulder

William BriggsUniversity of Colorado at Denver

Using & Understanding

MATHEMATICSA Quantitative Reasoning Approach

7th EDITION

330 Hudson Street, NY NY 10013

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Library of Congress Cataloging-in-Publication Data

Names: Bennett, Jeffrey O., author. | Briggs, William L., author.Title: Using and understanding mathematics: a quantitative reasoning approach / Jeffrey Bennett and William Briggs.Description: 7th edition. | Boston: Pearson, [2019]Identifiers: LCCN 2017048514| ISBN 9780134705187 (alk. paper) | ISBN 0134705181 (alk. paper)Subjects:  LCSH: Mathematics–Textbooks.Classification: LCC QA39.3 .B46 2019 | DDC 510–dc23LC record available at https://lccn.loc.gov/2017048514

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Instructor’s EditionISBN-13: 978-0-13-470522-4ISBN-10: 0-13-470522-X

Student EditionISBN-13: 978-0-13-470518-7ISBN-10: 0-13-470518-1

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viii Contents

10 MODELING WITH GEOMETRY 576 ACTIVITY Eyes in the Sky 578

10A Fundamentals of Geometry 579Mathematical Insight: Archimedes and Pi 583In Your World: Plato, Geometry, and Atlantis 587

10B Problem Solving with Geometry 593

10C Fractal Geometry 608

PART FIVE FURTHER APPLICATIONS

11 MATHEMATICS AND THE ARTS 620 ACTIVITY Digital Music Files 622

11A Mathematics and Music 623In Your World: Music Just for You 627

11B Perspective and Symmetry 630

11C Proportion and the Golden Ratio 643

12 MATHEMATICS AND POLITICS 654 ACTIVITY Partisan Redistricting 656

12A Voting: Does the Majority Always Rule? 657In Your World: Counting Votes—Not as Easy as It Sounds 663

12B Theory of Voting 675In Your World: The Electoral College and the Presidency 680

12C Apportionment: The House of Representatives and Beyond 686

12D Dividing the Political Pie 701

Credits C-1Answers A-1Index I-1

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