Resource - 7th Grade

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MonroeTownshipSchoolDistrict
MonroeTownship,NewJersey
th
MiddleSchool7 Grade*PREPARATIONPACKET*
**ThispacketisMODIFIEDforstudentsintheResource
Centeronly!**
Summer2018
***SOLVETHESEPROBLEMSANDSHOWALLWORK***
Youwillberesponsibleforhandinginthecompletedpacketwithallwork
shownONTHEFIRSTDAYOFSCHOOL.Theproblemsherearevery
representativeofthetypesofitemsyouwillneedtohavemasteredBEFORE7th
GradeMath…sowestronglyencouragethatyouincludethispacketinyour
summerfestivities!Goodluckandenjoy!J
Name:_______________________________________________
7thGRADEPREPARATIONPACKETSCORE:___________of40
Page1
RATIOSANDPROPORTIONALREASONING
1.
Youdriveadistanceof240milesanduse10gallonsofgas.Howmanymilesdoesyourcar
goononegallonofgas? ANSWER:_________
2.Yougetpaid$20for4hoursofwork.Howmuchmoneywillyoumakeinonehour? ANSWER:_________
3.Avolleyballteamwon10ofits16games.Writethisasaratio.
ANSWER:_________
4.Theadult-childratioatalocaldaycarecenteris3to12.Atthesamerate,howmany
adultsareneededfor48children?(Setthisupasaproportion).
ANSWER:__________
5.17outof20adultssurveyedsaidtheyownedacellphone.Representtheratio17outof20
asapercent.(Remember%means“outof100”).
ANSWER:__________
TOTALSCORE:___________of5
Page2
6.Decidewhetherthepairofratiosformaproportion
15 5
= 12 4
ANSWER:__________
y 3
= (Hint:crossmultiplyanddivide)
7.Solvetheproportion
10 5
ANSWER:__________
8.Whichisabetterbuy,14ozfor98¢or8ozfor64¢?(Remembertofindunitrate.Findthe
cheapercostfor1oz.)
ANSWER:__________
9.Completetheratiotablebelowandthenwritethethreenewequivalentratios.(Remember
whateveryoudotothedenominatoryoumustdothesametothenumerator)
4
12
36
5
15
108
ANSWER:__________
10.
Write9%asafraction.(Rememberthemeaningofpercent).
ANSWER:__________
TOTALSCORE:___________of5
Page3
THENUMBERSYSTEM
11.4studentsequallyshare
3
ofapizza.Howmuchofthepizzadoeseachstudentget?
4
ANSWER:__________
12.Whatistheareaofarectangularfieldthatis
7
1
mileby miles?(Remember:Area=LxW)
8
2
ANSWER:__________
2
ofapanoflasagnaintherefrigerator.Billandhisfriendsate½ofwhatwas
3
left.Howmuchofthepandidtheyeat?(Rememberwhat“OF”tellsyoudoto&makesure
yousimplifyyouranswer.)
13.Therewas
ANSWER:__________
14.Ms.Pikeisbaggingsnacksforaclasstrip.Shehas30pretzelsrodsand35piecesofstring
cheese.Whatisthelargestnumberofsnackbagsshecanmakesothatthebagsareallthe
sameandthereisnothingleftover?(RememberGCF).
ANSWER:__________
TOTALSCORE:___________of4
Page4
15.
Thebeacononthecellphonetowerblinksevery5secondsandthebeacononthewater
towerblinksevery8seconds.Thelightsblinktogether.Howmanysecondswillpass
beforethetwolightsblinktogetheragain?(RememberLCM).
ANSWER:__________
Findthesum,difference,productorquotient.Showallwork.
16.
37.65-4.238
17.
297.57÷6.5
ANSWER:_______
ANSWER:__________
18.
417+37.95
ANSWER:__________
19.
12.08×35.2
ANSWER:__________
TOTALSCORE:___________of5
Page5
20.Completethetable.
Fraction
Decimal
1
4
Percent
0.50
75%
21.GivethenumberforthelocationofpointsA,BandConthenumberline.
ANSWER:A_______B_______C_______
Findthesum,difference,productorquotient.Showallwork.
22.
1 7
2 - =
2 8
ANSWER:__________
ANSWER:__________
23.
3 1
4 ´ =
6 9
(Remembertochangetoimproperfractionfirst)
TOTALSCORE:___________of4
Page6
5÷
24.
3
=
10
(Remember:Keep,change,flip).
ANSWER:__________
25.
Whatis
2
of 120 ?(Rememberwhatofmeansinmath)
3
ANSWER:__________
Solve3) ÷ 9 + 15×4(RememberPEMDAS) ANSWER:__________
EXPRESSIONSANDEQUATIONS
26.
Evaluatefor x = 7
27.
x+13=
ANSWER:__________
ANSWER:__________
28.
Solve − 10 = 20
29.Writeanalgebraicexpressionfor“anumberpincreasedby7”
ANSWER:__________
ANSWER:__________
30.Writeanexpressionequalto x + x + x + x TOTALSCORE:___________of7
Page7
31.Laurahaspledgesof$5foreachmileshewalksintheJuvenileDiabetesWalkathon
fundraiser.
Usethetablebelowtographthedataonthegrid.Remembertoselectascaleand
titlethegraph.
Miles Money 0
0
1
$5
2
$10
3
$15
4
$20
5
$25
6
$30
MONEY
•
MILES
GEOMETRY
32.Usetherectangularprismbelowtoanswerpartsa&b.
a. Whatisthesurfaceareaofthebox?(Remembertofind
theareasofeachfacethenaddthemallup)
b. Whatisthevolumeofthebox?
Volume=l•w•h
TOTALSCORE:___________of2
ANSWER(b):__________
Page8
33.
a.Namethefigureattherightbelow.__________________________________ b.Sketchthenetforthefigure.
8cm 4cm
10cm 34.Plotthefollowingpointsonthegridbelow.(-5,6)(-5,-3)and(2,6).
• Addafourthpointtocreatearectangle.
• Givethecoordinatesofthenewpoint.
• Coordinatesofthenewpoint____________
TOTALSCORE:___________of2
Page9
35.Findtheareaofeachtrianglebelow.(Counttheunitstodeterminethebaseandheightof
eachtrianglefirst.Thenusetheformulaarea=½xbxh).
A.
B.
C.
D.
TOTALSCORE:___________of1
Page10
STATISTICSANDPROBABILITY
36.Forthedistributionpicturedbelow,tellhowmanypeoplearerepresentedbythedata,and
identifythemode,median,andrange.
Numberofpeoplerepresented_______mode______median_______range______
37.Fivestudentscompetedinafreethrowcontest.Thenumberoffree-throwsoutof10each
studentmadeischartedbelow.Basedonthechartbelow,whichofthefollowingstatementsis
false?
a.
b.
c.
d.
AmymademorefreethrowsthanSheaorJill
MarkmademorefreethrowsthanJill
Natemadethemostfreethrows
SheamadelessfreethrowsthanNateandAmy
TOTALSCORE:___________of2
Page11
38.MikewasinchargeofcollectingcontributionsfortheFoodBank.Hereceivedcontributions
of$13,$34,$26,$31and$28fromfiveco-workers.Findthemedianvalueofthese
contributions.
ANSWER:__________
39.Fivebowlerswereaskedwhattheirscorewasontheirlastgame.Thescoresareshown
below.
190,154,150,194,182
Findtherangeofthebowlers’scores.
ANSWER:__________
40.Mrs.Tafrowsurveyedher6thgradersaboutthenumberofhoursofTVtheywatchper
week.Herdataisbelow:
0,0,0,1,2,2,3,4,4,4,5,8,8,9,10,12,15
Calculatethemeannumberofhoursthe6thgradersspentwatchingTVperweek.
ANSWER:__________
TOTALSCORE:___________of3
Page12
REVIEW:COMMONCORESTATESTANDARDS(CCSS):Grade6
RatiosandProportionalRelationships6.RP
o Understandratioconceptsanduseratioreasoningtosolveproblems
TheNumberSystem6.NS
o Applyandextendpreviousunderstandingsofmultiplicationanddivisiontodividefractionsby
fractions.
o Computefluentlywithmulti-digitnumbersandfindcommonfactorsandmultiples.
o Applyandextendpreviousunderstandingsofnumberstothesystemofrationalnumbers.
Expressions&Equations6.EE
o Applyandextendpreviousunderstandingsofarithmetictoalgebraicexpressions.
o Reasonaboutandsolveone-variableequationsandinequalities.
Geometry6.G
o Solvereal-worldandmathematicalproblemsinvolvingarea,surfacearea,andvolume.
StatisticsandProbability6.SP
o Developunderstandingofstatisticalvariability.
o Summarizeanddescribedistributions.
PREVIEW:COMMONCORESTATESTANDARDS(CCSS):Grade7
RatiosandProportionalRelationships7.RP
o Analyzeproportionalrelationshipsandusethemtosolvereal-world&mathproblems
TheNumberSystem7.NS
o Applyandextendpreviousunderstandingsofoperationswithfractionstoadd,subtract,
multiply,anddividerationalnumbers
Expressions&Equations7.EE
o Usepropertiesofoperationstogenerateequivalentexpressions
o Solvereal-lifeandmathematicalproblemsusingnumericalandalgebraicexpressionsand
equations
Geometry7.G
o Draw,construct,anddescribegeometricalfiguresanddescribetherelationshipsbetweenthem.
o Solvereal-lifeandmathematicalproblemsinvolvinganglemeasure,area,surfacearea,and
volume.
StatisticsandProbability7.SP
o Userandomsamplingtodrawinferencesaboutapopulation.
o Drawinformalcomparativeinferencesabouttwopopulations.
o Investigatechanceprocessesanddevelop,use,andevaluateprobabilitymodels.
Page13
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