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