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Math Concept Reader MCR g6 music to our ears

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Music to Our Ears
Math Concept Reader
ca64os_lay_070108ap_ll.indd 1 1/9/07 1:56:10 AM
DIGITAL FINAL PROOF
Expedition:
Antarctica
by Aenea Mickelsen
ca62xs_lay_061207ad_am.indd 4 1/9/07 9:09:15 AM
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: 978-0-15-360206-1
ISBN 10: 0-15-360206-6
1 2 3 4 5 6 7 8 9 10 175 16 15 14 13 12 11 10 09 08 07
Math Concept Reader
Music to Our Ears
by Aenea Mickelsen
ca64os_lay_070108ap_ll.indd 3 1/9/07 1:56:14 AM
DIGITAL FINAL PROOF
The 42 members of the Rodale Middle School band meet every day at
1:15 P.M. Today, their teacher, Mr. Folks, says that he has exciting news. He


has just received an e-mail. The e-mail notified him that the band has been
selected to play in the statewide marching band championship. The students
applaud with excitement.
The band member
s kno
w this invitation is quite an honor. Mr. Folks
reminds the students that there is still a significant amount of work to do.
They will need to practice nearly every afternoon. The band members also
must raise money for the trip.
“The money will pay for the bus transportation and lodging for all of us
for several days,” Mr. Folks says. “We need to raise $5,250. The competition
is just two months away.” This seems like a great deal of money to the
students. They immediately begin discussions about how they might meet
their goal.
2
CHAPTER 1:
The Challenge
ca64os_lay_070108ap_ll.indd 2 1/9/07 1:56:22 AM
DIGITAL FINAL PROOF
Mr. Folks divides the group into seven committees and then writes an
equation on the board.
$5,250 ÷ 7 = $750
Each committee will raise $750 to
w
ard the trip, and the committees
will decide how they will earn, or raise, their share of the cost. The band
members gather into committee groups and begin to talk to each other.
Voncille asks how soon they need to have all the money raised. Mr.
Folks explains that the school district will cover the costs up front, but that
all of the funds must be raised and repaid to the district by the week of the

competition. “We better get to work, then,” Voncille says.
The students begin to brainstorm fundraising ideas. Luis says he has been
thinking about starting a dog-walking service. Jeffrey and Miguel share their
pet photography idea. Mr. Folks tells the students that these ideas are a great
start, and the boys decide they should work together.
3
Mr. Folks writes an equation on the board. The band needs $5,250 to
go to the state championship.
ca64os_lay_070108ap_ll.indd 3 1/9/07 1:56:28 AM
DIGITAL FINAL PROOF
Each year Cassidy’s neighborhood has a large, multi-family yard sale.
Families participate during the same days and times. All of the families
make some money from the sale and get rid of things they no longer want.
Cassidy suggests an all-band yard sale where each member of the band
would contribute items.
Molly has an idea for how to raise money. She loves to bake and she
knows others who do, too. She will organize a bake sale for the same day as
the yard sale. People can shop for bargains and enjoy tasty, homemade treats
at the same time.
Tyrese and Cory suggest having a car wash to kick-off the band’s efforts.
“We can let people know that the car wash is just the first of many great
fundraising events,” says Tyrese.
4
Rodale Middle School band members wash cars to raise money for their trip.
ca64os_lay_070108ap_ll.indd 4 1/9/07 1:56:34 AM
DIGITAL FINAL PROOF
:ACHARYAND!LEXISBABYSITFORMANYFAMILIESSOTHEYSUGGESTCREATINGA
CHILDCARECOMMITTEETOEARNMONEYh)MCERTIlEDIN&IRST!IDvSAYS!SHLEY
h)WOULDLIKETOWORKONYOURCOMMITTEEv
4HESTUDENTSCONTRIBUTEMANYEXCELLENTIDEASANDAREEXCITEDABOUTTHEIR

PLANSh9OUVEDONEASUPERBJOBSOFARv-R&OLKSTELLSTHEBANDMEMBERS
h)KNOWYOURPLANNINGANDHARDWORKWILLHELPUSRAISETHEMONEYWE
NEEDv
.OWITISTIMETOPRACTICEAND-R&OLKSREMINDSHISSTUDENTSTHAT
THEYNEEDTOLEARNTHEMUSICINORDERTOPERFORMWELL%VERYONEGETSTHEIR
INSTRUMENTSANDMUSICANDTHEYBEGINTOPLAYTHESCHOOLSONG!FTERTHEIR
WARMUPTHEBANDLAUNCHESINTOTHETHEMEFROMAPOPULARMOVIE4HE
BANDWILLPLAYAMEDLEYOFTUNESFROMBLOCKBUSTERlLMSFORTHEMARCHING
BANDCOMPETITION
*
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EPHӫǑ̢͙͝OH
CǑLȺTǑMȺ
ӵǑSȠTǑMȺ
D̢̙MEDǑSȺ
Ѿʚґ̢Ӄ̢OH
DǑSӫǚҙ̛

4HESTUDENTS
BRAINSTORM
FUNDRAISING
IDEASANDMAKE
ALIST
The next day the car wash committee meets to plan their event. They
design a flyer for the car wash. They decide what amount they will ask
people to donate. The suggested donation will be $5.00 for cars and $7.00
for trucks and SUVs. When they finish the flyer, they make copies to pass
out to people in the neighborhood.
On the day of the car wash, the band members arrive with supplies.
Friends and neighbors bring their cars and trucks to get washed. After the

students wash and dry the last vehicle, Cory reports that they washed 30 cars
and 22 SUVs and trucks.
c is the amount of money earned washing cars.
c = 30
× $5.00
c = $150.00
s is the amount of money earned washing SUVs and trucks.
s = 22
× $7.00
s = $154.00
$150.00 + $154.00 = $304.00
The students raised $304.00 fr
om the car w
ash. That’s a super start for
the band’s fundraising.
6
CHAPTER 2:
The Jobs
ca64os_lay_070108ap_ll.indd 6 1/9/07 1:56:49 AM
DIGITAL FINAL PROOF
Since Luis, Jeffrey, and Miguel love dogs, their committee will offer pet
services. Luis organizes a dog-walking service while Jeffrey and Miguel plan
to photograph pets for their owners.
Luis decides the dog walkers will charge $3.00 per half-hour per dog.
He asks his neighbor, Manuela, if she would pay for the walking service.
Manuela has two dogs, but since she works long hours it is hard to find time
to exercise her dogs. She is delighted to have Luis’ help. She hires Luis to
walk her dogs five days a week.
2
× $3.00 = $6.00

Luis will earn $6.00 per day.
5
× $6.00 = $30.00
He will earn $30.00 per week.
$30.00
× 8 = $240.00
In eight weeks, Luis will earn $240.00 walking dogs.
7
Luis and Paul walk neighbors’ dogs to raise money for their committee.
ca64os_lay_070108ap_ll.indd 7 1/9/07 1:56:58 AM
DIGITAL FINAL PROOF
*EFFREYSDOG
"ULLSEYEPOSES
FORHISPET
PORTRAIT
*EFFREYAND-IGUELKNOWPEOPLELOVETHEIRPETS4HEYTHINKOWNERS
WOULDENJOYHAVINGAHOLIDAYPETPORTRAIT
4HEYPRACTICEWITH-IGUELS'OLDEN2ETRIEVER"ULLSEYE4HEYDRAPEA
WHITESHEETOVERACOUPLEOFCHAIRSANDONTOTHEmOORTOCREATEABACKDROP
*EFFREYSNAPSSEVERALPHOTOGRAPHSANDHEAND-IGUELCHOOSEAPHOTOGRAPHOF
"ULLSEYETOUSEONTHEIRmYER
*EFFREYAND-IGUELPLANTOCHARGEAFEEFOREACHPETPORTRAIT#USTOMERS
CANPURCHASEPRINTSOFTHEPORTRAIT4HEPRICESOFTHEPRINTSWILLDEPENDON
THESIZEOFTHEPICTURE!
×INCHPICTUREWILLCOSTTOMAKE*EFFREY
AND-IGUELWILLADDTOTHECOSTOFEACHPRINTFORITSPRICE
MISTHEPRICEOFA
×INCHPRINT
M
M

)NTHEmY
ERTHEYLISTTHEPRICEOFA×INCHPRINTAS-IGUELAND
*EFFREYDISTRIBUTETHEmYERSTONEIGHBORS4HEYALSOPOSTAmYERATTHELOCAL
PETGROOMINGSHOP
-
The gift-wrapping committee wraps holiday presents to
raise money.
Brianna and Victor form a gift-wrapping committee. The holidays are
just around the corner so they will offer their services as gift wrappers and
charge $0.50 for each package they wrap.
Brianna’s mom needs some help so she hires them to wrap gifts that she
needs to mail soon. They gather wrapping paper, colorful ribbon, and rolls
of tape. As they finish one package, they write $0.50 on a sheet of paper.
Together, they wrap 12 packages. Brianna writes an equation to figure out
how much they have earned.
a is the amount earned from wrapping 12 packages.
a = 12
× $0.50
a = $6.00
They ear
ned $6.00 wrapping Brianna’s mom’s gifts.
Victor subtracts $6.00 from $750.00 to see how much more they need
to earn.
$750.00 – $6.00 = $744.00
T
o ear
n $744.00, they will have to wrap a lot of packages! They decide
to offer their services at the yard sale so they can wrap peoples’ purchases
there.
9

ca64os_lay_070108ap_ll.indd 9 1/9/07 1:57:03 AM
DIGITAL FINAL PROOF
Recently, Dylan and Carl helped Dylan’s mom clean out their garage.
They took the toys, sports equipment, and old clothes off the shelves. They
reorganized shelves, packed items for donations, and threw away items that
were no longer usable. Dylan’s mom suggested that they could help others
do the same thing.
The
y mak
e a flyer to advertise their services. They will charge $15.00 an
hour to help people clean their garages and to help with other chores.
Within a few weeks, they helped five families with different chores. One
weekend they worked for a total of 8.75 hours. The next three weekends,
they worked a total of 20.5 hours.
8.75 + 20.5 = 29.25
The
y worked 29.25 hours in all. To find out how much money they
made, they write an equation.
c is the amount of money they earned.
c = $15.00
× 29.25
c = $438.75
Dylan and Carl earned $438.75.
10
Dylan and Carl do chores for their
neighbors.
ca64os_lay_070108ap_ll.indd 10 1/9/07 1:57:05 AM
DIGITAL FINAL PROOF
Zachary, Alexis, and Emily are all very experienced child sitters. The
three friends know that many of the families they work for have activities

planned at this time of the year. They ask their customers if they would like
to have childcare at their holiday gatherings.
Zachary, Alexis, and Emily will provide childcare during events. They
will charge $5.00 per hour, per child. For families with more than one child,
they will charge 75% of that amount for each additional child.
b is the cost per hour for childcare for a family with more than one
child.
b = 75%
× $5.00
b = 0.75
× $5.00
b = $3.75
Families with more than one child will pa
y $5.00 per hour for the first
child and $3.75 per hour for each additional child.
The f
amilies think the students’
idea is fabulous and they hire them to
take care of their children.
11
Alexis babysits to make money for
the band.
ca64os_lay_070108ap_ll.indd 11 1/9/07 1:57:07 AM
DIGITAL FINAL PROOF
Mr. Folks made a chart when the band’s fundraising efforts began. He
uses it to keep track of the committees’ progress. The class looks at the chart
to see how close they are to their goal.
The car wash group has raised $304.00 so far. The pet walkers have earned
nearly $350.00. The group that cleaned garages and did other chores has earned
$438.75 and $292.50. Last week, the childcare group had 16 children at an event.

They charged $5.00 an hour for 10 of those children.
s is the amount earned for childcare at $5.00 an hour.
s = 10
× $5.00
s = $50.00
They charged $3.75 an hour for 6 of those childr
en.
e is the amount earned for childcare at $3.75 an hour.
e = 6
× $3.75
e = $22.50
Each hour they made $50.00 and $22.50.

$50.00 + $22.50 = $72.50 each hour
The
y w
orked for 4 hours.
f is the total amount earned for childcare for 4 hours.
f = 4
× $72.50
f = $290.00 earned that night.
CHAPTER 3:
Adding Things Up
12
ca64os_lay_070108ap_ll.indd 12 1/9/07 1:57:11 AM
DIGITAL FINAL PROOF
The yard sale is today. People donated many items for the sale, including
baby clothes, bicycles, and even some used furniture. Cassidy helps to tag
and display the items.
Molly sets up two bake-sale tables. On the brownie and cookie table, she

arranges people’s homemade items and the 60 cookies and 45 brownies that
she and her mom made last night. Molly figures that there are 264 treats on
the table!
At $0.25 each, Molly wonders how much they will make if they sell all
the cookies and brownies.
b is the amount earned.
b = 264
× $0.25
b = $66.00 for selling all the treats.
On the other table
, Molly displays Autumn’s father’s two apple pies and
other families’ donated pies. There are 12 pies in all. Molly decides to charge
$7.00 each for pies. She calculates how much they will get if they sell all the
pies.
p is the amount earned for selling all the pies.
p = 12
× $7.00
p = $84.00 for selling all the pies.
Mo
lly wonders how much they will make if they sell all of the baked
goods.
$84.00 + $66.00 = $150.00 for all the baked goods.
13
CHAPTER 3:
Adding Things Up
Molly and her
mom bake treats
for the yard sale.
ca64os_lay_070108ap_ll.indd 13 1/9/07 1:57:12 AM
DIGITAL FINAL PROOF

4HEFOLLOWING-ONDAY-R&OLKSGREETSTHESTUDENTSWHENTHEYARRIVE
FORCLASS4HEYARECURIOUSTOlNDOUTHOWMUCHTHEYMADEATTHEYARD
SALE#USTOMERSBOUGHTNEARLYEVERYITEMTHESTUDENTSHADFORSALE#ASSIDY
ANDHERGRANDMOTHERDONATEDTHEITEMSTHATWERELEFTFROMTHESALETOA
NONPROlTGROUP
-R&OLKSLISTSTHENAMESOFTHECOMMITTEESONTHEBOARD4HENHE
WRITESTHEAMOUNTOFMONEYRAISEDSOFARBYEACHACTIVITY.EXTTOYARDSALE
HEWRITES.EXTTOBAKESALEHEWRITES4HEGIFTWRAPPING
GROUPOFFEREDTHEIRSERVICESDURINGTHEYARDSALETOO4HEYWRAPPEDITEMS
ANDCHARGEDEACH
PISTHEAMOUNTEARNEDWRAPPINGITEMS
P
×
P
4HEGIFTWRAPPINGGROUPRAISED7ITHTHETHEYHAD
ALREADYEARNEDTHEIRTOTALISh7EREGOINGTONEEDMORECOMMITTEE
MEMBERSTOHELPWORKATOTHEREVENTSIFWEPLANONRAISINGOURv
+ENDALLSAYSh)DONTTHINKWECANWRAPENOUGHGIFTSWITHJUSTlVE
COMMITTEEMEMBERSv
&)
:ǑSȠ4ǑMȺ 
#ǑLȺ4ǑMȺ 
(̢̐8SǑҁ̢OH 
$ǑS8ǚҙ̛ 
1ʚ4Ȫ҅W̨Dɚ 
$̢̙MEDǑSȺ 
0SHǑ̴ͩ[̢OH 
5еǑ͡ 
-R&OLKS
KEEPS

TRACKOF
HOWMUCH
MONEYTHE
COMMITTEES
RAISE4HEY
ALMOSTHAVE
ENOUGH
MONEYTO
PAYFORTHE
BANDTRIP
Mr. Folks updates the earnings from the other groups. Then he writes a
calculation on the board.
$5,250 - $4,340 = $910
Ther
e ar
e still a few more weeks before the trip to the competition.
The band needs to raise another $910. The students are confident that
they will raise the rest of the money. They enjoy working together and are
proud of their work so far. Members of committees that already raised at
least $750 decide to regroup with some of the committees that still need to
raise money. “If we all pitch in, we’ll earn the rest of the money in no time,”
Roman says.
This afternoon, though, it is time to stop thinking about fundraising and
to start practicing music. Mr. Folks and the band want to play their best at
the championship!
15
The Rodale school band practices for the competition. They will play
a medley of movie themes.
ca64os_lay_070108ap_ll.indd 15 1/9/07 1:57:21 AM
DIGITAL FINAL PROOF

16
Photo Credits: cover, title page: © Tim Pannell/Corbis; p. 3: © SuperStock, Inc. / SuperStock; pp. 4,
11: © Tony Freeman/PhotoEdit Inc.; p. 7: Don Smetzer/Stone/Getty Images; p. 8: GK Hart/Vikki
Hart/Photodisc Green/Getty Images; p. 9: Photos.com; p. 10: © Michael Newman/PhotoEdit Inc.;
p. 13: © Wil & Deni McIntyre/Corbis; p. 15: © Myrleen Ferguson Cate/PhotoEdit Inc.
Glossary
donation a voluntary gift made to a worthwhile cause
equation a statement that shows that two quantities are equal
flyer a piece of paper advertising an event or other activity
fundraising raising money for a good cause in an organized
way
ca64os_lay_070108ap_ll.indd 16 1/9/07 1:57:22 AM
DIGITAL FINAL PROOF
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