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GLENCOE MATHEMATICS ™ Seeing and Thinking Mathematically COURSE 2 interactive student edition w w w . m a t h s c a p e 2 . c o m MathScape©05 C3 TP 1/15/04 2:20 PM Page 2 mac85 Mac 85:1st shift: 1268_tm:6037a:6037a: Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved. Printed in the United States of America. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior permission of the publisher. Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240 ISBN: 0-07-860468-0 1 2 3 4 5 6 111/058 08 07 06 05 04 iii-1_MS G7_XXXXXX-X-TOC 1/8/04 11:25 AM Page iii mac85 Mac 85:1st shift: 1268_tm:6037a:6036a: TABLE OF CONTENTS Buyer Beware . . . . . . . . . . . . . . . . . . . . . .2 Rates, Ratios, Percents, and Proportions ➤ PHASE ONE Rates Lesson 1 What’s the Best Buy? . . . . . . . . . . . . . . . . . . .6 Lesson 2 The Best Snack Bar Bargain . . . . . . . . . . . . . .8 Lesson 3 Cheaper by the Pound . . . . . . . . . . . . . . . . .10 Lesson 4 It Really Adds Up . . . . . . . . . . . . . . . . . . . . .12 ➤ PHASE TWO Ratio and Proportion Lesson 5 Quilting Ratios . . . . . . . . . . . . . . . . . . . . . . .16 Lesson 6 In the Mix . . . . . . . . . . . . . . . . . . . . . . . . . . .18 Lesson 7 Halftime Refreshments . . . . . . . . . . . . . . . . .20 Lesson 8 Can I Use a Proportion? . . . . . . . . . . . . . . . .22 ➤ PHASE THREE Percents Lesson 9 Team Spirit . . . . . . . . . . . . . . . . . . . . . . . . . .26 Lesson 10 Playing Around . . . . . . . . . . . . . . . . . . . . . . .28 Lesson 11 Sale Daze . . . . . . . . . . . . . . . . . . . . . . . . . . .30 Lesson 12 Percent Smorgasbord . . . . . . . . . . . . . . . . . .32 Homework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .34 TABLE OF CONTENTS • MATHSCAPE iii iii-1_MS G7_XXXXXX-X-TOC 1/8/04 11:25 AM Page iv mac85 Mac 85:1st shift: 1268_tm:6037a:6036a: Chance Encounters . . . . . . . . . . . . . . .46 Probability in Games and Simulations ➤ PHASE ONE Games of Chance and Probability Lesson 1 The Carnival Collection . . . . . . . . . . . . . . . .50 Lesson 2 Coins and Cubes Experiment . . . . . . . . . . . .52 Lesson 3 From Never to Always . . . . . . . . . . . . . . . . .54 ➤ PHASE TWO Spinner Games and Probability Lesson 4 Spin with the Cover-Up Game . . . . . . . . . . .58 Lesson 5 The Mystery Spinner Game . . . . . . . . . . . . .60 Lesson 6 Designing Mystery Spinner Games . . . . . . . .62 ➤ PHASE THREE Fair and Unfair Games Lesson 7 Is This Game Fair or Unfair? . . . . . . . . . . . . .66 Lesson 8 Charting the Chances . . . . . . . . . . . . . . . . . .68 Lesson 9 Which Game Would You Play? . . . . . . . . . . .70 ➤ PHASE FOUR Real-World Simulations Lesson 10 Is the Simulation Realistic? . . . . . . . . . . . . . .74 Lesson 11 The Shape Toss Game . . . . . . . . . . . . . . . . . .76 Lesson 12 Real-World Simulation Game . . . . . . . . . . . .78 Homework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .80 ➤ iv ➤ ➤ ➤ TABLE OF CONTENTS • MATHSCAPE ➤ iii-1_MS G7_XXXXXX-X-TOC 1/8/04 11:25 AM Page v mac85 Mac 85:1st shift: 1268_tm:6037a:6036a: Making Mathematical Arguments . . .92 Generalizing About Numbers ➤ PHASE ONE Signs, Statements, and Counterexample