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EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
EurekaMath&
EngageNYEndofModuleReview
5thGradeModule5
Createdby:AndreaMcDonaldhttps://www.teacherspayteachers.com/Store/Windy-
City-Teacher
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
Name Date
1. Useyourrulertodrawarectanglethatmeasures3 !!by4 !
!inches,andfinditsarea.
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
2. Maryhasarectangulardriveway.Shemeasuresitandfindsoutitis14 !!feetlongby17 !
!feetwide.
a. Shewantstoknowhowmanysquarefeetofpaintshewillneedtocompletelycoverthedriveway.Drawthedriveway,andlabelthemeasurements.
b. HowmuchpaintwillMaryneedtocoverthedriveway?
c. Ifeachsquarefootofpaintcosts40cents,howmuchwillshehavetopaytocoverherdriveway?
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
3. Arectangularpanthathasalengthof20cm,awidthof25cm,andaheightof10cmisfilledwithcakebattertoadepthof8cm.Whenanadditional2.1litersofbatterispouredintothepan,somebatteroverflows.Howmanylitersofbatteroverflowthepan?Usewords,pictures,andnumberstoexplainyouranswer.(Remember1cm3=1mL.)
4. Marthasaysthata2 !!inchby 4 !
! inchrectanglehasasectionthatis2inches×4inchesandasection
thatis!!
inch× !!inches.Thatmeansthetotalareaisjustthesumofthesetwosmallerareas,or
8 !!"in2.WhyisMarthaincorrect?Useanareamodeltoexplainyourthinking.Then,givethe
correctareaoftherectangle.
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
5. PeterandPaulbuiltpapertowers.Peter’stowerhada3-inchsquarebase.Paul’stowerhada7-inchsquarebase.IfPeter’stowerhadavolumeof81cubicinchesandPaul’shadavolumeof441cubicinches,whosetowerwastaller?Explainyourreasoning.
6. Readthestatements.EachstatementisTrue.Explainwhythestatementistrue.Explainyourstatementforeachusingwordsand/orpictures.
a. Thefollowingfigureisnotatrapezoid. True
b. Thesumoftheanglemeasuresofanyparallelogramisthesameasthesumoftheanglemeasuresofanyquadrilateral.
True
75°5
75°5 115°
5
100°5
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
c. Allparallelogramsarequadrilaterals. True
d. Notallrhombusesaresquares. True
e. Squaresarerectangles. True
f. Theoppositeanglesinaparallelogramhavethesamemeasure. True
g. Rectanglesareparallelograms. True
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
AnswerKey
1. Useyourrulertodrawarectanglethatmeasures3 !!by4 !
!inches,andfinditsarea.4pts=
correctlyanswersanddrawsmodel,3pts=drawsmodelwithcalculationerror,2pts=drawsonedimensioncorrectlybutunabletofindthearea,1pt=unabletodrawrectangleorfindarea.(5.NF.4b)
72
𝑥 174= 1198
= 1478
A=14 !!𝑖𝑛!
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
2.Maryhasarectangulardriveway.Shemeasuresitandfindsoutitis14 !!feetlongby17 !
!feet
wide.
4pts=correctlyanswersall3parts,3pts=correctlyanswers2parts,2pts=correctlyanswers1part,1pt=unabletocorrectlyansweranypart.(5.NF.4b,5.NF.6)
a. Shewantstoknowhowmanysquarefeetofpaintshewillneedtocompletelycoverthedriveway.Drawthedriveway,andlabelthemeasurements.
b. HowmuchpaintwillMaryneedtocoverthedriveway?
Shewillneed249!!𝑓𝑡!ofpainttocoverherdriveway.
c. Ifeachsquarefootofpaintcosts40cents,howmuchwillshehavetopaytocoverher
driveway?
249!!= 249.375
249.375x.4=99.75Marywillhavetopay$99.75tocoverherdriveway.
1414
𝑓𝑡
1712
𝑓𝑡
14 !!
𝑓𝑡x 17 !!=
!"!
𝑥 !"!= !""#
!= 249!
!
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
3.Arectangularpanthathasalengthof20cm,awidthof25cm,andaheightof10cmisfilledwithcakebattertoadepthof8cm.Whenanadditional2.1litersofbatterispouredintothepan,somebatteroverflows.Howmanylitersofbatteroverflowthepan?Usewords,pictures,andnumberstoexplainyouranswer.(Remember1cm3=1mL.)4pts=correctlyanswersandexplains,3pts=calculationerrorwithcorrectreasoning,2pts=findsvolumewithincorrectreasoning,1pt=unabletofindvolumeorgivereasoning.(5.MD.3,5.MD.5)
20x25x10=5,000 Volumeofthepanis5,000𝑐𝑚! 20x25x8=4,000
Volumeofthebatteris4,000 𝑐𝑚!
5,000–4,000=1,000 Roomleftinthepanis1,000𝑐𝑚! 𝑜𝑟 1.0𝐿
2.1L–1.0L=1.1L Thebatteroverflowedby1.1Lor1100 𝑐𝑚!
4.Marthasaysthata2 !!inchby 4 !
! inchrectanglehasasectionthatis2inches×4inchesanda
sectionthatis!!
inch× !!inches.Thatmeansthetotalareaisjustthesumofthesetwosmaller
areas,or8 !!"in2.WhyisMarthaincorrect?Useanareamodeltoexplainyourthinking.Then,give
thecorrectareaoftherectangle.4pts=correctlydrawsmodel,explainserrorandcalculatescorrectly,3pts=correctlydoes2ofthefollowing:correctlydrawsmodel,explainserrorandcalculatescorrectly,2pts=correctlydoesoneofthefollowing:correctlydrawsmodel,explainserrorandcalculatescorrectly,1pt=unabletodrawrectangleorfindarea.(5.NF.4b,5.NF.6)
+
+
20𝑐𝑚25𝑐𝑚
8𝑐𝑚
2
4
8
15
12
110
15
2
4 12
8
45
1
110
Tofindtheareaallsectionsoftheareamodelneededtobeadded.
1+8+!!+ !
!"= 9 !
!"
Theareaofthe
rectangleis9 !!"𝑖𝑛!Incorrectmodel
correctmodel
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
5.PeterandPaulbuiltpapertowers.Peter’stowerhada3-inchsquarebase.Paul’stowerhada7-inchsquarebase.IfPeter’stowerhadavolumeof81cubicinchesandPaul’shadavolumeof441cubicinches,whosetowerwastaller?Explainyourreasoning.4pts=correctlycalculatestheheightandexplainsthattheyarebothequalinheight,3pts=calculatestheheightbutmakescalculationerror,buthassolidreasoning,2pts=attemptstocalculatebothheightsbutreasoningisunclear,1pt=unabletofindheightsorreason.(5.MD.5)
V=81𝑖𝑛!81÷9=9 V=441𝑖𝑛!441÷49=9
BothtowerhavethesameheightasIdividedthevolumesbythebaseandbothanswerswere9𝑖𝑛!
7.Readthestatements.EachstatementisTrue.Explainwhythestatementistrue.Explainyourstatementforeachusingwordsand/orpictures.4pts=correctlychangesall7statementstotruewithclearexplanations,3pts=correctlyprovidesacombinationof7truestatementsorexplanations,2pts=correctlyprovidesacombinationof6truestatementsorexplanations,1pt=correctlyprovidesacombinationofatleast3truestatementsorexplanations.(5.G.3,5.G.4)
a. Thefollowingfigureisnotatrapezoid. True
Whenyouaddtheseanglesupitis365°andtobetruethesumoftrapezoidsis360°.
b. Thesumoftheanglemeasuresofanyparallelogramisthesameasthesumoftheanglemeasuresofanyquadrilateral.
True
Allparallelogramsandquadrilateralsadduptobe360°.
33
? ?
77
75°5
75°5 115°
5
100°5
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4
c. Allparallelogramsarequadrilaterals. True
Parallelogramsareatypeofquadrilateralastheyhave4straightsides.
d. Notallrhombusesaresquares. True
Rhombuseshave4equalsidewithequaloppositeangles.Rhombusesdonothavetohave4rightangles.Asquareisarhombus,butnotallrhombusesaresquares.
e. Squaresarerectangles. True
Squaresarerectanglesastheyhave4straightsidesand4rightangles.
f. Theoppositeanglesinaparallelogramhavethesamemeasure. True
Oppositeanglesinaparallelogramarealwaysequalastheoppositesidesareequalinlength.Allanglesalwaysaddupto360°.
g. Rectanglesareparallelograms. True
Parallelogramshave4straightsidesthereforerectanglesareparallelograms
EurekaMathPre-Assessment5.5
CommonCoreStandards:5.NF.4,5.NF.6,5.MD.3,5.MD.4,5.MD.5,5.G.3,5.G.4