Math Concept Reader MCR g3 sports camp

Math Concept Reader
SPORTS
CAMP
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Math Concept Reader
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Copyright © Gareth Stevens, Inc. All rights reserved.
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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
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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
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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!
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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.
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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.
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“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.
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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
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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.
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“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 T
aylor
. “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. Ther
e will be two players left.”
She shows her work.
“W
e need to try something else because everyone
needs to be on a team,” says Brianna.
Brianna and Isabella think mor
e about how they can
divide the teams.
9
7
112
- 7
42
42
0
16
Isabella divides 112
campers into soccer
teams.
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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 ar
e not playing
sports, they hike, run, and swim. They work hard and
have lots of fun.
10
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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 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, ther
e ar
e too many
runners to run at one time. The track only has eight
lanes, so only eight runners can run at a time.
11
Chapter 3:
Sports Festival
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“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
“W
e will need at least 16 heats,” he says. “W
e can
have 15 heats with eight runners each and one heat
with thr
ee runners. That will give everyone a chance to
run.”
12
More than 120 campers want to race! Braden and Isabella divide runners
into heats.
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“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 fr
om 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
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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
“Ther
e 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
Winners of the heats will race against each other in semifinal races.
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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
The 100-meter race is the last event of the day. The runners almost
tie!
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16
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
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.
r
emainder 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.
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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.
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