Tài liệu Ebook sports camp

DIGITAL FINAL PROOF Math Concept Reader SPORTS CAMP ca35xs_lay_070109af_ll.indd 1 1/9/07 9:57:06 PM DIGITAL FINAL PROOF ca35xs_lay_070109af_ll.indd 2 1/9/07 9:57:09 PM DIGITAL FINAL PROOF Math Concept Reader SPORTS CAMP by Linda Bussell Copyright © Gareth Stevens, Inc. All rights reserved. Developed for Harcourt, Inc., by Gareth Stevens, Inc. This edition published by Harcourt, Inc., by agreement with Gareth Stevens, Inc. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the copyright holder. Requests for permission to make copies of any part of the work should be addressed to Permissions Department, Gareth Stevens, Inc., 330 West Olive Street, Suite 100, Milwaukee, Wisconsin 53212. Fax: 414-332-3567. HARCOURT and the Harcourt Logo are trademarks of Harcourt, Inc., registered in the United States of America and/or other jurisdictions. Printed in the United States of America ISBN 13: 978-0-15-360183-5 ISBN 10: 0-15-360183-3 1 2 3 4 5 6 7 8 9 10 179 16 15 14 13 12 11 10 09 08 07 ca35xs_lay_070109af_ll.indd 3 1/9/07 9:57:13 PM DIGITAL FINAL PROOF Chapter 1: Camp Division It is summer, and school is over. Sports camp starts today and the campers are excited. They will play tennis, volleyball, and soccer, and they will run, hike, and swim. There are 336 campers in all, so they must divide into smaller groups to play sports. Bobby is one of three leaders at the camp. He divides the campers into three equal groups. Each group will have its own counselor. Bobby divides 336 by 3 and writes this on the board. 112 ) 3 336 He tells them that there are 112 campers in each group, and each group will have its own name. 2 ca35xs_lay_070109af_ll.indd 2 1/9/07 9:57:14 PM DIGITAL FINAL PROOF The teams take turns playing sports. The Falcons play tennis first! The three groups are named the Eagles, the Falcons, and the Hawks. They will take turns playing sports, so that there will be enough equipment for everyone. To start, the Eagles will play volleyball, the Falcons will play tennis, and the Hawks will play soccer. Sometimes the campers will hike, swim, and run, too. The leaders make three lists. They add the name of each camper to a list. That means they add 112 names to each list. When they are done, each of the 336 campers will be in a group. 3 ca35xs_lay_070109af_ll.indd 3 1/9/07 9:57:16 PM DIGITAL FINAL PROOF Next, the leaders organize the groups. Some of the campers help them divide everyone into teams. James and Rebecca help the Falcons make teams for doubles tennis. In doubles tennis, there are two players on each team. They need to find out how many teams to make, so they divide 112 by 2. The Falcons will have 56 teams for doubles tennis. James lists the numbers from 1 to 56. Rebecca reads the names of the campers, and James writes two names next to each number. Soon, they have a list of 56 teams. James and Rebecca figure out how many doubles tennis teams they need to make. 4 ca35xs_lay_070109af_ll.indd 4 56 2 112 -10 12 -12 0 1/9/07 9:57:20 PM DIGITAL FINAL PROOF James and Rebecca make a schedule for the doubles tennis games. Two teams will play each game, so James divides 56 by 2. “If everyone plays at the same time, there will be 28 games!” James says. “That is a lot of tennis games.” “Everyone cannot play at the same time,” Rebecca says. “There are only seven tennis courts. Those who are not playing will swim or hike. How many groups of games do we need to schedule so everyone can have a turn to play?” she asks. 28 2 56 -4 16 -16 0 ca35xs_lay_070109af_ll.indd 5 The Falcons need to play 28 games of tennis so everyone on the team has a turn. 5 1/9/07 9:57:21 PM DIGITAL FINAL PROOF The camp has 7 tennis courts, so the Falcons need to play 4 rounds of tennis to play 28 games in all. “I know what to do,” says James, and he writes this on the white board: 28 ÷ 7 = 4 “We have 28 games of tennis to play, and we have seven courts. To find out how many groups of games are needed, I divided 28 by 7. We need four groups of games.” They put teams of two into game groups. “This schedule looks great,” Bobby says. “I will use this to make schedules for the other activities. Do you want to help me again?” “Yes!” say James and Rebecca. 6 ca35xs_lay_070109af_ll.indd 6 1/9/07 9:57:26 PM DIGITAL FINAL PROOF Chapter 2: Remaining Players William and Braden are in the Eagles group. The two campers help their leader make a game schedule. They divide the Eagles into volleyball teams. There are six players on a team, and there are 112 Eagles. William says to divide 112 by 6. The quotient will tell them how many teams to make. Braden writes: 112 ÷ 6 = 18 r4 “We need to make 18 teams,” says Braden. “There is a remainder of four,” says William. “That is not enough to make another team.” They decide to add an extra player to four of the teams. The team members will take turns playing. 7 ca35xs_lay_070109af_ll.indd 7 1/9/07 9:57:26 PM DIGITAL FINAL PROOF The Hawks play soccer first. They plan how to divide into teams. Brianna and Isabella are on the Hawks, and they help their leader, Taylor, divide the Hawks into soccer teams. There are 112 Hawks, and each team is allowed to put up to seven players on the field at one time. “How many teams will we have if there are seven players on every team?” asks Isabella. She divides 112 by 7. 112 ÷ 7 = 16 “The quotient is 16. There will be 16 teams of seven players each,” she says. 8 ca35xs_lay_070109af_ll.indd 8 1/9/07 9:57:29 PM DIGITAL FINAL PROOF “If we have more than seven players on each team, players can take a break,” says Brianna. Some of the other campers say they like this idea. “That is fine,” says Taylor. “However, the rules say there can be no more than ten players on a team.” Isabella says, “If we place ten players on each team, we will have 11 teams. There will be two players left.” She shows her work. “We need to try something else because everyone needs to be on a team,” says Brianna. Brianna and Isabella think more about how they can divide the teams. Isabella divides 112 campers into soccer teams. 16 7 112 -7 42 42 0 ca35xs_lay_070109af_ll.indd 9 9 1/9/07 9:57:31 PM DIGITAL FINAL PROOF Isabella and Brianna think of a way to create 12 teams. 4 x 10 = 40 8 x 9 = 72 Four teams will have ten players each, and eight teams will have nine players each. 40 + 72 = 112 Now everyone gets to be on a team, and the teams are almost the same size! The campers have a busy week. They play tennis, volleyball, and soccer. When they are not playing sports, they hike, run, and swim. They work hard and have lots of fun. 10 ca35xs_lay_070109af_ll.indd 10 1/9/07 9:57:31 PM DIGITAL FINAL PROOF Chapter 3: Sports Festival On the last day of camp, the campers have a sports festival. It is time to get ready. The campers organize the events. Campers sign up for the sports they want to play. There is soccer, volleyball, and tennis. Some campers sign up for swimming, and others sign up for running. The most popular event is the 100-meter race. With 123 campers signing up to run, there are too many runners to run at one time. The track only has eight lanes, so only eight runners can run at a time. 11 ca35xs_lay_070109af_ll.indd 11 1/9/07 9:57:31 PM DIGITAL FINAL PROOF More than 120 campers want to race! Braden and Isabella divide runners into heats. “We can do it like a track meet,” Braden says. “We can divide the runners into smaller groups called heats. Each heat is a race, and the winner of each heat will race against the winners of other heats.” Braden and Isabella divide the runners into heats of eight. Braden writes: 123 ÷ 8 = 15 r3 “We will need at least 16 heats,” he says. “We can have 15 heats with eight runners each and one heat with three runners. That will give everyone a chance to run.” 12 ca35xs_lay_070109af_ll.indd 12 1/9/07 9:57:34 PM DIGITAL FINAL PROOF “It will be more fun if there are more runners in the last heat,” says Isabella. “Listen to this idea.” “We can take one runner from each of four heats. We can add these four runners to the heat that has only three runners,” she says. Isabella writes on the board: 11 x 8 = 88 5 x 7 = 35 88 + 35 = 123 “Eleven heats will have eight runners. Five heats will have seven runners. Everyone who wants to run will get to race,” says Isabella. 13 ca35xs_lay_070109af_ll.indd 13 1/9/07 9:57:35 PM DIGITAL FINAL PROOF Winners of the heats will race against each other in semifinal races. This is just the start of setting up the 100-meter race, though. After the first set of 16 heats, the winner from each heat will race again. This will be the semifinal race. “There will be 16 runners in the semifinals. There will be 8 runners in each semifinal heat,” said Braden. He writes: 16 ÷ 8 = 2 “There will be two semifinal heats,” he says. “The winners of the two semifinal heats will run in the final race. The winner of the final race will be the winner of the 100-meter race.” 14 ca35xs_lay_070109af_ll.indd 14 1/9/07 9:57:38 PM DIGITAL FINAL PROOF The 100-meter race is the last event of the day. The runners almost tie! The plans for the sports festival are complete. The campers have many sports events planned, and they have also planned hikes and water games for their guests. The campers’ families and friends come to the sports festival to watch them compete. Campers play the championship games for soccer and volleyball in the afternoon. The 100-meter race is the final event of the day. The finish is very close, almost a tie. The tired runners shake hands while their friends cheer. The festival ends a great week of fun and fitness. 15 ca35xs_lay_070109af_ll.indd 15 1/9/07 9:57:42 PM DIGITAL FINAL PROOF Glossary division the process of sharing a number of items to find how many groups can be made or how many items will be in a group. Division is the opposite operation of multiplication. heat one of a series of races in sports quotient the number, not includng the remainder, that results from division. In 48 ÷ 8 = 6, 6 is the quotient. remainder the amount left over when a number cannot be divided evenly semifinals the heats that are run to decide who will be in the final race. The winners of the semifinal heats will be in the final race. Photo credits: cover, title page, pp. 12, 14, 15: © Bob Daemmrich/Photo Edit; pp. 3, 8: © David Young-Wolff/Photo Edit; p. 6: © Frank Siteman/Photo Edit 16 ca35xs_lay_070109af_ll.indd 16 1/9/07 9:57:43 PM DIGITAL FINAL PROOF Think and Respond 1. How many teams of five can be made from 67 players? How many players will be left? 2. Erica is putting baseballs into bags. She has 56 baseballs and 8 bags. Erica wants to put an equal number of baseballs in each bag. How many baseballs should she put in each bag? 3. The swim team is practicing to race in a swim meet. There are 75 swimmers on the team. Only 6 swimmers can race at one time. How many races are needed so that all 75 swimmers get to race? 4. Suppose a baseball club had six teams and 97 new baseball caps. Can an equal number of baseball caps be given to each team? Why or why not? Draw a picture and explain your answer. ca35xs_lay_070109af_ll.indd 17 1/9/07 9:57:43 PM