Math Concept Reader
Math Concept Reader SPORTS CAMP ca35xs_lay_070109af_ll.indd 1 1/9/07 9:57:06 PM DIGITAL FINAL PROOF Math Concept Reader ca35xs_lay_070109af_ll.indd 2 1/9/07 9:57:09 PM DIGITAL FINAL PROOF 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. HARCOUR T 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 by Linda Bussell Math Concept Reader SPORTS CAMP ca35xs_lay_070109af_ll.indd 3 1/9/07 9:57:13 PM DIGITAL FINAL PROOF 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. Ther e ar e 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. He tells them that there are 112 campers in each group, and each group will have its own name. 112 3 336 ) 2 Chapter 1: Camp Division ca35xs_lay_070109af_ll.indd 2 1/9/07 9:57:14 PM DIGITAL FINAL PROOF 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. T o 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 thr ee lists. They add the name of each camper to a list. That means they add 112 names to each list. When they ar e done, each of the 336 campers will be in a gr oup. 3 The teams take turns playing sports. The Falcons play tennis first! 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, ther e ar e 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 fr om 1 to 56. Rebecca r eads the names of the campers, and James writes two names next to each number . Soon, they have a list of 56 teams. 4 2 112 -10 12 -12 0 56 2 56 -4 16 -16 0 28 James and Rebecca figure out how many doubles tennis teams they need to make. ca35xs_lay_070109af_ll.indd 4 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, ther e will be 28 games!” James says. “That is a lot of tennis games.” “Everyone cannot play at the same time,” Rebecca says. “Ther e ar e 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. 5 2 56 -4 16 -16 0 28 The Falcons need to play 28 games of tennis so everyone on the team has a turn. ca35xs_lay_070109af_ll.indd 5 1/9/07 9:57:21 PM DIGITAL FINAL PROOF “I know what to do,” says James, and he writes this on the white board: 28 ÷ 7 = 4 “W e 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 gr oups. “This schedule looks gr eat,” Bobby says. “I will use this to make schedules for the other activities. Do you want to help me again?” “Y es!” say James and Rebecca. 6 The camp has 7 tennis courts, so the Falcons need to play 4 rounds of tennis to play 28 games in all. ca35xs_lay_070109af_ll.indd 6 1/9/07 9:57:26 PM DIGITAL FINAL PROOF 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 ar e 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 “W e need to make 18 teams,” says Braden. “Ther e 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 Chapter 2: Remaining Players ca35xs_lay_070109af_ll.indd 7 1/9/07 9:57:26 PM DIGITAL FINAL PROOF Brianna and Isabella are on the Hawks, and they help their leader, Taylor, divide the Hawks into soccer teams. Ther e ar e 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. Ther e will be 16 teams of seven players each,” she says. 8 The Hawks play soccer first. They plan how to divide into teams. ca35xs_lay_070109af_ll.indd 8 1/9/07 9:57:29 PM DIGITAL FINAL PROOF [...]... 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... 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... 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... 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...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... 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 . PM DIGITAL FINAL PROOF 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 . Ther e. Bussell Math Concept Reader SPORTS CAMP ca35xs_lay_070109af_ll.indd 3 1/9/07 9:57:13 PM DIGITAL FINAL PROOF It is summer, and school is over. Sports camp starts today and the campers are excited. They. hike, and swim. Ther e ar e 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.