crossroads math -- summer curriculum€¦ · crossroads math -- summer curriculum incoming 6th...

CrossroadsMath--SummerCurriculum

Incoming6thGraders

Belowyouwillfindascheduleofwhatshouldbestudied,practiced,ANDMASTEREDeachweekoverthe summer.Thecurriculumisdesignedfor8weeksofpractice.Weeks1-3focusonensuringfoundational standardsfromelementaryschoolaremastered,whileweeks4-8focusonthefirststandardsofthe6thgrade curriculumthatwillbeassessedduringthefirstweeksoftheschoolyear.Sometipscanbefoundbelow:

● “DailyMemorization”-Creatingflashcards(canbemadebycuttingupblankpaper)isrecommended tohelpinmemorizing.Reviewingthesefor10minuteseachdayishighlyencouraged.

● Thispacketismerelyaguide.Studentsareresponsibleforfullyunderstandingeachstandardlisted andforsomethispacketwillbemorethanenoughinstructionandpractice,butotherswillneedto supplementinstructionwithvideosonlineandfindadditionalpracticeonlineaswell.

● KhanAcademy.orgisanexcellentresourcewith“howto”videosandmultiplepracticetypesperskill. Visitwww.khanacademy.org/join&enterclasscode:TK5W487BThenclick:“Createanewaccount” PleaseincludeyourfirstnameinyourusernamesothatIcanidentifyyouraccountfrommycoachingportal. RECORDYOURPASSWORDSOYOUDONOTLOSEYOURPROGRESSTHISYEAR. Onceloggedin,workthroughallproblemsetsundertheassignedstandardnumbersforeachweek.

● Tokeeporganized,usethisfront&backcoverpageasachecklistofwhatyouhavemastered.

PrerequisiteElementaryLevelSkills >QUIZON2ndDAYOFSCHOOL:Wednesday,September4th,2019<

Week DAILYMEMORIZATION StandardstoLearn&Practice Mastery?

week

1

Pages 3-10

Multiplication/DivisionFacts:

x0’sx1’sx2’sx5’sx10’s

WholeNumbers 2.NBT.5FluentSubtractionwithRegrouping 5.NBT.5FluentlyMultiplyMulti-DigitNumbers

Decimals 5.NBT.4RoundingDecimals

❏ 4.NBT.3RoundingWholeNumbers 5.NBT.3ComparingDecimals

❏ 4.NBT.2ComparingWholeNumbers

week

2

Pages 11-18


x3’sx4’s

Fractions 3.NF.2-Representfractionsonanumberline 3.NF.3-EquivalentFractions 4.NF.1-SimplifyingFractions 4.NF.3c-MixedNumbers&ImproperFractions

week

3

Pages 19-23


x6’sx7’s

Fractions 4.NFB.3c-AddingandSubtractingFractions andMixedNumberswithLIKEDenominators 5.NF.1-AddingandSubtractingFractionsand MixedNumberswithUNlikeDenominators

YOUWILLHAVEAQUIZONTHESESTANDARDSONTHE2ndDAYOFSCHOOL! Thisquizwillnotcounttowardyourquarteronemathgrade;however,theseskillsfoundationallysupport thesixthgradecurriculumandmasteryof6thgradewillbeincrediblychallengingwithoutthisfoundation.

Questions?Call/TextMrs.Jones443-390-6673before8pm.(Includeyournameinyourmessage!) 1

6thGradeMathStandards >MASTERYQUIZ2ndweekofschoolFriday,September13th,2019on6.EE.1,6.NS.2,6.NS.3<

>MASTERYQUIZ3rdweekofschoolFriday,September20th,2019on6.NS.1,6.NS.4< >MASTERYQUIZ4thweekofschoolFriday,September27th,2019onEquivalentPDFs<

Week DailyMEMORIZATION StandardstoLearn&Practice Mastery?

week

4

Pages 24-28


x8’sx9’s

6.NS.1-FractionDivision

Elementaryschoolsupportingstandards: 5.NF.4MultiplyingFractions(includingwhole numbersandmixednumbers) 5.NF.7DividingFractionswithwholenumbers

week

5

Pages 29-34


x11’sx12’s

6.NS.4-LeastCommonMultiple(LCM), GreatestCommonFactor(GCF), DistributiveProperty

Elementaryschoolsupportingstandards: 4.OA.4Findallfactorpairsforawholenumberin therange1-100,determineifprimeorcomposite

week

6

Pages 35-39

6.RP.3 EquivalentPDFs:Tenths&Fifths

110

210

310

410

510

610

710

810

910 10

10 0.10.20.30.40.50.60.70.80.91.0 10%20%30%40%50%60%70%80%90%100%

51

52

53

54

55

0.20.40.60.81.0 20%40%60%80%100%

� 6.NS.2-FluentLongDivision

Elementaryschoolsupportingstandards: � 5.NBT.6DividingwithOne-DigitandTwo-Digit

Divisors

week

7

Pages 40-45

6.RP.3 EquivalentPDFs:8ths,4ths½‘s

81

83

85

87

0.1250.3750.6250.875 12.5%36.7%62.5%87.5%

and 21

22

41

42

43

44

0.51.00.250.50.751.0 50%100%25%50%75%100%

� 6.NS.3-DecimalOperations

Elementaryschoolsupportingstandards: � 5.NBT.7Adding/Subtracting/Multiplying/

DividingDecimals

week

8

Pages 46-52

6.RP.3 EquivalentPDFs:Thirds&

Convertingbetweenanyfraction, decimal,percent =0. =33. %3

1 3 3 =0. =66. %3

2 6 6

� 6.EE.1-OrderofOperations&Exponents Elementaryschoolsupportingstandards:

5.OA.1EvaluatingNumericalExpressions/Order ofOperations

YOUWILLHAVEAMASTERYQUIZONTHESESTANDARDS!! Eachstandardwillcountasanindividualmasteryquizgradeforquarterone.

Wewillbequicklyreviewingandpracticingtheseskillsduringthefirstthreeweeksofschool.

Pages53-55areANSWERKEY#1(Forstudenttouseregularlytogaugeprogress.) Pages56-57aretheANSWERKEY#2(ForFamilyMembertousetocheckQUIZZES)


WEEK1 __________________________________________________________________________________________________________________________________________________________________

DailyMemorization Multiplication/DivisionFacts:x0’s,x1’s,x2’s,x5’s,x10’s

__________________________________________________________________________________________________________________________________________________________________

-Youwillneedtohavethesemultiplicationfactsmemorizedthisweek. -Thebestwaytomemorizetheseistocreateflashcardsandpracticethemfor10minuteseachday.

-Youcanalsohavesomeonequizyouwiththemtomakesureyouhavemasteredthem! Multiplication/DivisionFacts:x0’s,x1’s,x2’s,x5’s,x10’s


WEEK1 __________________________________________________________________________________________________________________________________________________________________

Foundational:WholeNumbers&Decimals 4.NBT.4-Fluentlyaddandsubtractmulti-digitwholenumbersusingthestandardalgorithm.

KhanAcademy:https://www.khanacademy.org/commoncore/grade-4-NBT#4.NBT.B.4 5.NBT.5-Fluentlymultiplymulti-digitwholenumbersusingthestandardalgorithm.

KhanAcademy:https://www.khanacademy.org/commoncore/grade-5-NBT#5.NBT.B.5 5.NBT.4-Useplacevalueunderstandingtorounddecimalstoanyplace.

KhanAcademy:https://www.khanacademy.org/commoncore/grade-5-NBT#5.NBT.A.4 5.NBT.3-Read,write,andcomparedecimalstothousandths.

5.NBT.3a-Readandwritedecimalstothousandthsusingbase-tennumerals,numbernames,andexpandedform,e.g., 347.392=3×100+4×10+7×1+3×(1/10)+9×(1/100)+2×(1/1000).

5.NBT.3b-Comparetwodecimalstothousandthsbasedonmeaningsofthedigitsineachplace,using>,=,and< symbolstorecordtheresultsofcomparisons.

KhanAcademy:https://www.khanacademy.org/commoncore/grade-5-NBT#5.NBT.A.3 __________________________________________________________________________________________________________________________________________________________________

NOTES: MULTIPLICATION SUBTRACTIONwithRegrouping


https://www.khanacademy.org/commoncore/grade-4-NBT#4.NBT.B.4




https://www.khanacademy.org/commoncore/grade-5-NBT#5.NBT.A.4




WEEK1 __________________________________________________________________________________________________________________________________________________________________

Foundational:WholeNumbers&Decimals WholeNumbers:4.NBT.4-Fluentlyaddandsubtract//5.NBT.5-Fluentlymultiply//

Decimals:5.NBT.4-Rounddecimals//5.NBT.3-Comparedecimals __________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE//WHOLENUMBERS 1.49×975=_____ 2.6,751×609=______ 3.Whatistheproductof9and740?_____


WEEK1 __________________________________________________________________________________________________________________________________________________________________


Decimals:5.NBT.4-Rounddecimals//5.NBT.3-Comparedecimals __________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE//WHOLENUMBERS


WEEK1 __________________________________________________________________________________________________________________________________________________________________


Decimals:5.NBT.4-Rounddecimals//5.NBT.3-Comparedecimals __________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE//DECIMALSRounding


WEEK1 __________________________________________________________________________________________________________________________________________________________________


Decimals:5.NBT.4-Rounddecimals//5.NBT.3-Comparedecimals __________________________________________________________________________________________________________________________________________________________________ STANDARDPRACTICE//WholeNumbers

1. Mannyowns83setsofbasketballcards.Each sethasexactly504cards.Whatisthetotal numberofbasketballcardsMannyowns?

2. Thestarrunningbackonourfootballteamgot mostofhistotalyardagerunning.Therestwas catchingpasses.Hecaughtpassesfor60yards. Histotalyardagewas150yards.Therunning backfortheotherteamgot200yards.How manyyardsdidthestarrunningbackonour footballteamgetrunning?

3. TheaveragetemperatureinLincolninJulyis 85degrees.LastWednesday,itwas90 degrees.Todayitwas15degreescoolerthan lastWednesday.Whatwasthetemperature today?

4. Michellehas$80tobuyanewoutfit.Shefound askirtfor$20,ablousefor$25,andabeltfor $8.Howmuchdoesshehavelefttobuyshoes?

5. Youhad$1million,butthenyouspent$999 andthen$22,222.Howmuchmoneydoyou haveleft?

6. EmmyNoether,theMotherofModern Algebra,wasbornin1882.Inwhatyeardidshe celebrateher25thbirthday?

7. Mrs.Hiltwillbuyanewpairofshoesin11 days.Howmanyminutesmustshewaitbefore shecanbuyhernewpairofshoes?

8. Mrs.Hiltread21books.Eachbookhadexactly 2,010wordsinit.Shesoldfiveofherbooksfor $4.95each.HowmanywordsdidMrs.Hilt read?


WEEK1 __________________________________________________________________________________________________________________________________________________________________


Decimals:5.NBT.4-Rounddecimals//5.NBT.3-Comparedecimals __________________________________________________________________________________________________________________________________________________________________ STANDARDPRACTICE//Decimals


WEEK1 __________________________________________________________________________________________________________________________________________________________________


Decimals:5.NBT.4-Rounddecimals//5.NBT.3-Comparedecimals __________________________________________________________________________________________________________________________________________________________________ PRACTICEQUIZ

1) Thekinginvited17,850gueststotheroyalweddingoftheprincess.7,625guestshave

arrived.Ifallguestattendthewedding,howmanymoreguestsareexpected?

2) Solve748,065+39,471=_____________

3) Awaterparksells168tickets.Eachticketcosts$12.Whatisthetotalcostoftheticketssold?

4) Round113.293tothe a) Onesplace=__________________

b) Tenthsplace=_________________

c) Hundredthsplace=_____________

5) Placethenumbersinorderfromgreatesttoleast:89.89 90 90.98 90.990.089

__________>__________>__________>__________>__________


WEEK2 __________________________________________________________________________________________________________________________________________________________________

DailyMemorization Multiplication/DivisionFacts:x3’sandx4’s

__________________________________________________________________________________________________________________________________________________________________


-Youcanalsohavesomeonequizyouwiththemtomakesureyouhavemasteredthem! Multiplication/DivisionFacts:x3’sandx4’s


WEEK2 __________________________________________________________________________________________________________________________________________________________________

Foundational:Fractions 3.NF.2-Understandafractionasanumberonthenumberline;representfractionsonanumberlinediagram.

KhanAcademy:https://www.khanacademy.org/commoncore/grade-3-NF#3.NF.A.2 3.NF.3-Explainequivalenceoffractionsinspecialcases,andcomparefractionsbyreasoningabouttheirsize.

KhanAcademy:https://www.khanacademy.org/commoncore/grade-3-NF#3.NF.A.3 4.NF.1-Explainwhyafractiona/bisequivalenttoafraction(n×a)/(n×b)byusingvisualfractionmodels,

withattentiontohowthenumberandsizeofthepartsdiffereventhoughthetwofractions themselvesarethesamesize.Usethisprincipletorecognize&generateequivalentfractions, includingsimplestform. KhanAcademy:https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-visualizing-equiv-frac/e/simplifying_fractions

4.NF.3c-Addandsubtractmixednumberswithlikedenominators,e.g.,byreplacingeachmixednumber withanequivalentfraction,and/orbyusingpropertiesofoperations&therelationshipbetween addition&subtraction.

KhanAcademy:https://www.khanacademy.org/commoncore/grade-4-NF#4.NF.B.3c __________________________________________________________________________________________________________________________________________________________________ NOTES:


https://www.khanacademy.org/commoncore/grade-3-NF#3.NF.A.2




https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-visualizing-equiv-frac/e/simplifying_fractions

https://www.khanacademy.org/commoncore/grade-4-NF#4.NF.B.3c

https://www.khanacademy.org/commoncore/grade-4-NF#4.NF.B.3c

WEEK2 __________________________________________________________________________________________________________________________________________________________________

Foundational:Fractions WholeNumbers:3.NF.2-FractionsonNumberLine//3.NF.3-EquivalentFractions// Decimals:4.NF.1-SimplifyFractions//4.NF.3c-ConvertMixedNumbersandFractions

__________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE//FractionsonNumberLine


WEEK2 __________________________________________________________________________________________________________________________________________________________________


__________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE//EquivalentFractions


WEEK2 __________________________________________________________________________________________________________________________________________________________________


__________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE//SimplifyFractions SimplifyFractions MixedNumber→Improper Improper→Mixed


WEEK2 ____________________________________________________________________________________________________________________________________________________________________________________


____________________________________________________________________________________________________________________________________________________________________________________ STANDARDPRACTICE

FractionsonNumberLine

Fractionsfromlefttoright


WEEK2 ____________________________________________________________________________________________________________________________________________________________________________________


____________________________________________________________________________________________________________________________________________________________________________________ STANDARDPRACTICE

EquivalentFractions a.

Add/SubtractFractionswithLikeDenominatorswithImproperFractionAnswersthat needtobechangedtoMixedNumberandSimplified


WEEK2 ____________________________________________________________________________________________________________________________________________________________________________________


____________________________________________________________________________________________________________________________________________________________________________________ PRACTICEQUIZ

FractionsonaNumberLine

1) Thisnumberlineissplitintofractionalintervalsof________ths.

a) ThefractionallocationofPointAis_______.

b) ThefractionallocationofPointBis_______.

c) ThefractionallocationofPointCis_______.

d) ThefractionallocationofPointDis_______.

EquivalentFractions

Add/SubtractFractionswithLikeDenominatorswithImproperFractionAnswersthat needtobechangedtoMixedNumberandSimplified


WEEK3 __________________________________________________________________________________________________________________________________________________________________


__________________________________________________________________________________________________________________________________________________________________




WEEK3 ____________________________________________________________________________________________________________________________________________________________________________________

5.NF.1-Add&SubtractFractionswithUNlikeDenominators Addandsubtractfractionswithunlikedenominators(includingmixednumbers)byreplacinggiven fractionswithequivalentfractionsinsuchawayastoproduceanequivalentsumordifferenceof fractionswithlikedenominators.Forexample,2/3+5/4=8/12+15/12=23/12.(Ingeneral,a/b+

c/d=(ad+bc)/bd.) ____________________________________________________________________________________________________________________________________________________________________________________ KhanAcademy:https://www.khanacademy.org/commoncore/grade-5-NF#5.NF.A.1

____________________________________________________________________________________________________________________________________________________________________________________ Reminder:Youmustdemonstratefullconceptualunderstandingofthestandard

inadditiontoproceduralmasteryoftheskill. ____________________________________________________________________________________________________________________________________________________________________________________ NOTES: **FIRST,changeanymixednumberstoimproperfractions** Generaltechnique: “Trick”technique: 1.FindLeastCommonDenomination(orLCM) Google:“Butterflyfraction”addition 2.Makeequivalentfractionsusingnewdeno 3.Addthenumerators,denominatorsstaythesame



WEEK3 ____________________________________________________________________________________________________________________________________________________________________________________

5.NF.1-Add&SubtractFractionswithUnlikeDenominators ____________________________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE


WEEK3 __________________________________________________________________________________________________________________________________________________________________

5.NF.1-Add&SubtractFractionswithUNlikeDenominators __________________________________________________________________________________________________________________________________________________________________ STANDARDPRACTICE

1) Dinaaddedfive-sixthsofabagofsoiltohergarden.HerneighborNatashaadded eleven-eighthsbagsofsoiltohergarden.HowmuchmoresoildidNatashaaddthanDina?

2) IttookNickfive-thirdsofanhourtocompletehismathhomeworkonMonday,three-fourths ofanhouronTuesday,andfive-sixthsofanhouronWednesday.Howmanyhoursdidhetake tocompletehishomeworkaltogether?

3) Dylanreadhisbookaboutanimalsfor22/3hoursthisweek.Hissister,Faith,readher footballbookfor11/5hoursthisweek.HowmuchlongerdidDylanreadhisbookthanFaith readhers?

4) Therewere cratesoftomatoesinthebarnbut cratesoftomatoeswererottenandhad42 41 7 5

3

tobethrownout.Joesold cratesandcanned cratesoftomatoes.Howmanycratesof8 31 7 6

5 tomatoeswereleft?


WEEK3 __________________________________________________________________________________________________________________________________________________________________

5.NF.1-Add&SubtractFractionswithUNlikeDenominators __________________________________________________________________________________________________________________________________________________________________ PRACTICEQUIZ Haileyhas3cats:Bonnie,MuffinandBaby.

1.HaileyfeedsthemCatCookiesbrandcatfood. EachdayBonnieeats ofthebox,Muffineats oftheboxandBabyeats of2

181

41

thebox.Whatfractionofawholeboxdothecatseat,inall,eachday? 2.MuffinandBabyspendmuchofeachdaysleeping. Muffinsleepsfor ofthedayandBabysleepsfor oftheday.5

3 710

Whichofthetwocatssleepsforlonger?Howmuchlongerdoesitsleepeachday? 3.Hailey’scatsoftenshareacartonofcatmilk.Bonniealwaysdrinks ofthecarton,Muffinalways3

1

drinks ofthecarton,andBabyalwaysdrinks ofthecarton.512 6

1 Whatfractionofthecartonofcatmilkisleftover? 4.Hailey’scatslovetojumpinandoutoftheircatdoor.Yesterdaythecatdoorwasused100times byhercats.Bonnieuseditfor ofthetimesandMuffinuseditfor ofthetimes.Howmanytimes4

1 310

didBabyusethecatdoor?Explainhowyoufigureditout.


WEEK4 __________________________________________________________________________________________________________________________________________________________________


__________________________________________________________________________________________________________________________________________________________________




WEEK4 ____________________________________________________________________________________________________________________________________________________________________________________

6.NS.1-FractionDivision Interpretandcomputequotientsoffractions,andsolvewordproblemsinvolvingdivisionoffractions

byfractions,e.g.,byusingvisualfractionmodelsandequationstorepresenttheproblem. Forexample,createastorycontextfor(2/3)÷(3/4)anduseavisualfractionmodeltoshowthequotient;usetherelationshipbetween multiplicationanddivisiontoexplainthat(2/3)÷(3/4)=8/9because3/4of8/9is2/3.(Ingeneral,(a/b)÷(c/d)=ad/bc.)Howmuch

chocolatewilleachpersongetif3peopleshare1/2lbofchocolateequally?Howmany3/4-cupservingsarein2/3ofacupofyogurt? Howwideisarectangularstripoflandwithlength3/4miandarea1/2squaremi?.

____________________________________________________________________________________________________________________________________________________________________________________ KhanAcademy:https://www.khanacademy.org/commoncore/grade-6-NS#6.NS.A.1

____________________________________________________________________________________________________________________________________________________________________________________ Reminder:Youmustdemonstratefullconceptualunderstandingofthestandard

inadditiontoproceduralmasteryoftheskill. ____________________________________________________________________________________________________________________________________________________________________________________ NOTES:

6.NS.1FractionDivision 1. KEEPthefirstfractionthesame

(makesureit’safraction!)

2. CHANGEtomultiplication(insteadofdivision) 3. FLIPthesecondfractionintoitsreciprocal (multiplicativeinverse)

4. MULTIPLYstraightacross DONOTUSEMIXEDNUMBERS!

→Instead,changemixednumberstoimproperfractionsby… 1. Multiplythedenominator(bottomnumber)bythewholenumber,thatgivesyou

aproduct(answertomultiplication) 2. Addthatproducttothenumerator(topnumber),thatgivesyouasum(answer

toaddition) 3. Usethesumasyournewnumeratorandkeepthedenominatorthesame

WHOLENUMBERSSHOULDBEWRITTENASFRACTIONS,TOO!

→Changeittolooklikeafractionbyplacingitovera1(dividingby1) Example:Insteadof5,changeittobewrittenas 1

5


https://www.khanacademy.org/commoncore/grade-6-NS#6.NS.A.1

WEEK4 __________________________________________________________________________________________________________________________________________________________________

6.NS.1-FractionDivision __________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE


WEEK4 ____________________________________________________________________________________________________________________________________________________________________________________

6.NS.1-FractionDivision ____________________________________________________________________________________________________________________________________________________________________________________ STANDARDPRACTICE *Hint:Startwithwhatyouhave.*

7)Howmany teaspoondosesarein teaspoonofmedicine?41

87

8)Miahas poundofbirdfood.Sheputsanequalportioninto4birdfeeders.Howmuchbird 8

7

food,inpounds,doessheputintoeachbirdfeeder?


WEEK4 __________________________________________________________________________________________________________________________________________________________________

6.NS.1-FractionDivision __________________________________________________________________________________________________________________________________________________________________ PRACTICEQUIZ

1)Maggie’stimecardshowedthatsheworked20hoursworthoflife-guardingatthepool.Ifeach shiftonlylasts ofanhour,howmanyshiftsdidBrandywork?5

4 2)Toprepareabatchofcookiesafactoryuses barrelsofoatmealineachbatch.Thefactoryused5

4

barrelsofoatmealonMonday.Thenumberofbatchesofcookiesmadebythefactoryon4 54

Mondaywere_______. 3)Spencerhas cupsofsugarinabag.TherecipeJeffismakingneeds cupofsugarperserving.3 2

132

HowmuchsugarwillbeleftinthebagafterJeffmakes1servingusingtherecipe?Expressyour answerasamixednumberinsimplestform.


WEEK5 __________________________________________________________________________________________________________________________________________________________________


__________________________________________________________________________________________________________________________________________________________________




WEEK5 __________________________________________________________________________________________________________________________________________________________________

6.NS.4-LeastCommonMultiple(LCM),GreatestCommonFactor(GCF), andDistributiveProperty

Findthegreatestcommonfactoroftwowholenumberslessthanorequalto100andtheleast commonmultipleoftwowholenumberslessthanorequalto12.Usethedistributivepropertyto expressasumoftwowholenumbers1-100withacommonfactorasamultipleofasumoftwo

wholenumberswithnocommonfactor.Forexample,express36+8as4(9+2).. __________________________________________________________________________________________________________________________________________________________________ KhanAcademy:https://www.khanacademy.org/commoncore/grade-6-NS#6.NS.B.4

__________________________________________________________________________________________________________________________________________________________________ Reminder:Youmustdemonstratefullconceptualunderstandingofthestandard

inadditiontoproceduralmasteryoftheskill. __________________________________________________________________________________________________________________________________________________________________ NOTES:


WEEK5 __________________________________________________________________________________________________________________________________________________________________


__________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE FindtheLCM. 1) 4and10 2)6and10 3)4and12 4)12,15,and20

GCF 1) 8and12 2)7and35 3)36and54 4)24,60,and72


WEEK5 __________________________________________________________________________________________________________________________________________________________________


__________________________________________________________________________________________________________________________________________________________________ STANDARDPRACTICE


WEEK5 __________________________________________________________________________________________________________________________________________________________________


__________________________________________________________________________________________________________________________________________________________________ PRACTICEQUIZ 1.Kevinisplanting15bushesand9treesinarow.Ifhewantsalltherowstobeexactlythesame, withnoplantsleftover,whatisthegreatestnumberofrowsKevincanplant? 2)Brett,Lucy,andDonnieareeachmakingtripscarryingbagsofmulchfromthebackloadingdock tothefrontofthestore.IttakesBrett3minutestomakeatrip,Lucy5minutestomakeatrip,and Donnie6minutestomakeatrip.Howmanyminuteswillpassuntiltheyallarrivebackatthesame exacttime? 3)Usethedistributivepropertytorewritetheexpression9(6+5)asthesumof54andanotherwhole number. 4)Rileyispacking24notebooks,56pencils,and96erasersequallyintoasmanybackpacksas possible.WhatisthegreatestnumberofbackpacksthatRileycanpacktheitemsinto?


PRACTICEQUIZ __________________________________________________________________________________________________________________________________________________________________

DailyMemorization--Weeks1-5 MultiplicationandDivisionFacts0-12

__________________________________________________________________________________________________________________________________________________________________


WEEK6 __________________________________________________________________________________________________________________________________________________________________

DailyMemorization 6.RP.3-EquivalentPercents,Decimals,Fractions

Tenths&Fifths __________________________________________________________________________________________________________________________________________________________________

-Youwillneedtohavethesebenchmarkfractions,decimals,percentsmemorizedthisweek.

-Thebestwaytomemorizetheseistocreateflashcardsandpracticethemfor10minuteseachday.

-Youcanalsohavesomeonequizyouwiththemtomakesureyouhavemasteredthem!

MEMORIZEtheequivalentdecimal&percentforeachfractionbelow:


WEEK6 __________________________________________________________________________________________________________________________________________________________________

6.NS.2-FluentLongDivision Fluentlydividemulti-digitnumbersusingthestandardalgorithm.

__________________________________________________________________________________________________________________________________________________________________ KhanAcademy:https://www.khanacademy.org/commoncore/grade-6-NS#6.NS.B.2


inadditiontoproceduralmasteryoftheskill. __________________________________________________________________________________________________________________________________________________________________ NOTES: *In6thgradewewilltransitionfromwritingremainderstoinsteadusingdecimalsor

fractions(placingtheremainderasanumeratorovertheoriginaldenominator/divisor)*

Sotochange fromafractionintoadecimal,divide2by11andyouwillnoticethat211

the18keepsrepeatingafterthedecimal.Wewritethisas withtheline.18211 = 0

(vinculum)overthe18tosignifythatthosetwonumbersarerepeatingforeverandever.


WEEK6 __________________________________________________________________________________________________________________________________________________________________

6.NS.2-FluentLongDivision __________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE.Writeremaindersasfractions.Writeallfractionsinsimplestform.


WEEK6 __________________________________________________________________________________________________________________________________________________________________

6.NS.2-FluentLongDivision __________________________________________________________________________________________________________________________________________________________________ STANDARDPRACTICE


WEEK6 __________________________________________________________________________________________________________________________________________________________________

6.NS.2-FluentLongDivision __________________________________________________________________________________________________________________________________________________________________ PRACTICEQUIZ

1)Evaluate __________4, 92 1 3 9 ÷ 8 = 2)Anexpressionisshown: 608 68 1 ÷ 2 Whatisthevalueoftheexpression? 3)Twenty-oneboxesholdatotalof294textbooks.Ifeachboxcontainsthesamenumberof textbooks,howmanytextbooksareineachbox?


WEEK7 __________________________________________________________________________________________________________________________________________________________________


Eighths,Fourths,andHalves __________________________________________________________________________________________________________________________________________________________________






WEEK7 __________________________________________________________________________________________________________________________________________________________________

6.NS.3-DecimalOperations Fluentlyadd,subtract,multiply,anddividemulti-digitdecimalsusingthestandardalgorithm.

__________________________________________________________________________________________________________________________________________________________________ KhanAcademy:https://www.khanacademy.org/commoncore/grade-6-NS#6.NS.B.3


inadditiontoproceduralmasteryoftheskill. __________________________________________________________________________________________________________________________________________________________________ NOTES:

6.NS.3DecimalAdditionandSubtraction

LINEUPTHEDECIMALS!!inordertoaligntheplacevaluesofdigits Hint:Treatdecimalslikemoney. $5=$5.00

6.NS.3DecimalMultiplication ×

1. Removethedecimalsfromeachfactor 2. Countthetotaldecimalplacevaluesremoved 3. Multiplylikenormal 4. Placethedecimalbackintotheproductusingthetotalnumberof decimalplacevaluesremoved

6.NS.3DecimalDivision ÷

Whenthereisadecimalinthedivisor,youmustmakesomechangesto alignyourdecimalbeforedividing.

1. Movethedecimalinthedivisortomakeitawholenumber 2. Countthenumberofdecimalplacevaluejumpsandmovethe decimalinthedividendthesamenumberoftimesasthedivisor

3. Movethedecimalupintothequotient 4. Dividelikeusinglongdivisionalgorithm


https://www.khanacademy.org/commoncore/grade-6-NS#6.NS.B.3

WEEK7 __________________________________________________________________________________________________________________________________________________________________

6.NS.3-DecimalOperations __________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE

Adding 1) 2.4+3.3=

2) 12.7+2.8=

3) 6.72+5=

4) 245.987+16.204=

5) 34.69+72.507=

---------------------------------------------------------------------------------------------------- Subtracting 1) 7.4-3.3=

2) 15.7-2.8=

3) 6.79-5=

4) 45.53-16.69=

5) 94.609-72.517=


WEEK7 __________________________________________________________________________________________________________________________________________________________________

6.NS.3-DecimalOperations __________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE Multiplying

1) 2.4x0.3=

2) 12.7x0.05=

3) 6.72x10=

4) 0.024x0.62=

5) 4.8x5.9=

----------------------------------------------------------------------------------------------------

Dividing

1) 0.24÷0.3=

2) 0.125÷0.5=

3) 68.5÷10=

4) 12.4÷1.2=

5) 4.8÷0.04=


WEEK7 __________________________________________________________________________________________________________________________________________________________________

6.NS.3-DecimalOperations __________________________________________________________________________________________________________________________________________________________________ STANDARDPRACTICE

1) Supposeyoubuy5poundsofapplesfor$1.29 perpound.Howmuchmoneywouldyouspend ontheapples?

2) Inordertotrainfora5k,youhavedecidedto doapracticerunof3.1milesandhavealready run1.56miles.Howmanymoremilesdoyou needtorun?

3) Mrs.Joneswantstohiketwotrails.Thelength ofonetrailis6.706km.Thelengthoftheother trailis9.0704km.Whatisthetotallengthofthe twotrails?

4) WholeFoodshadpineapplesonsalefor$1.20 perpound.Tonyspent$5.28onpineapples. Howmanypoundsofpineapplesdidhebuy?

5) Ahatcosts$10.95andaT-shirtcosts$14.20.

Howmuchchangewillyoureceiveifyoupay forbothitemswitha$50bill?

6) AshelfusedtostoreDVDsis60.96cmwide.If eachDVDis1.5cmwide,whatisthemaximum numberofDVDsthatcanbestoredonthe shelf?

7) Atoyboatcosts$3.88andaballcosts$1.29.If Jabrebuys2toyboatsand3balls,howmuch totalmoneywillshespend?

8) Tomhad$84.50andthenspent$12.25fora musicCD,$17.85foragift,and$15.45for gasoline.Howmuchdidhehaveleft?


WEEK7 __________________________________________________________________________________________________________________________________________________________________

6.NS.3-DecimalOperations __________________________________________________________________________________________________________________________________________________________________ PRACTICEQUIZ Thetableshowstheaveragepriceofgold(indollarsperounce)forseveralyears.

1.Findthequotientoftheaveragespricesofgoldin2010and1970.Whatdoesthequotientmean? 2.Aminerfoundthreepiecesofgoldinanundergroundminein1970. Thepiecesweighed0.080ounce,0.122ounce,and0.096ounce.

2a.Findthetotalweightofthegoldthatwasfoundintheundergroundminein1970.

2b.Findthetotalvalue(indollars)ofthegoldwhenitwasmined.

2c.Abouthowmuchmorewasthegoldworthin2010thanin1970?


WEEK8 __________________________________________________________________________________________________________________________________________________________________


Thirds __________________________________________________________________________________________________________________________________________________________________





KhanAcademy.orghasatonofpracticewith“Percent,fraction,decimalconversions”


WEEK8 __________________________________________________________________________________________________________________________________________________________________

6.EE.1-OrderofOperations&Exponents Writeandevaluatenumericalexpressionsinvolvingwhole-numberexponents.

__________________________________________________________________________________________________________________________________________________________________ KhanAcademy:https://www.khanacademy.org/commoncore/grade-6-EE#6.EE.A.1


inadditiontoproceduralmasteryoftheskill. __________________________________________________________________________________________________________________________________________________________________ NOTES: Followthestepsofthepyramidfromtoptobottom!

GreatlyExcuseMyDearAuntSally


https://www.khanacademy.org/commoncore/grade-6-EE#6.EE.A.1

WEEK8 __________________________________________________________________________________________________________________________________________________________________

6.EE.1-OrderofOperations&Exponents __________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE//Exponents


WEEK8 __________________________________________________________________________________________________________________________________________________________________

6.EE.1-OrderofOperations&Exponents __________________________________________________________________________________________________________________________________________________________________ SKILLPRACTICE//OrderofOperations WholeNumbers 1) 36x3+(56÷7)–65

2) 6×[(34–26)+3] 3) 26x3+[(56÷7)–5]

4) [(14+7)+(66÷6)]÷4

WholeNumberswithExponents 5) 8x(13-2)-32

6) (9-2)2+(10÷2)

7) (8-4)2+(12-15÷5)

8) (6x9+32)+3


WEEK8 __________________________________________________________________________________________________________________________________________________________________

6.EE.1-OrderofOperations&Exponents __________________________________________________________________________________________________________________________________________________________________ STANDARDPRACTICE


WEEK8 __________________________________________________________________________________________________________________________________________________________________

6.EE.1-OrderofOperations&Exponents __________________________________________________________________________________________________________________________________________________________________ PRACTICEQUIZ


PRACTICEQUIZ __________________________________________________________________________________________________________________________________________________________________

DailyMemorization--Weeks6-8 6.RP.3-EquivalentPercents,Decimals,Fractions

__________________________________________________________________________________________________________________________________________________________________

Fraction *SIMPLESTFORMONLY*

Decimal Percent

30%

41

710

60%

0.8

52

20%

85

83

87

81

32

0.75 75%

5%

1.05


ANSWERKEY#1 ____________________________________________________________________________________________________________________________________________________________________________________

Skill/StandardPractice+DailyMemorization ____________________________________________________________________________________________________________________________________________________________________________________ WEEK1//4.NBT.4/5.NBT.5/5.NBT.4/5.NBT.3

SKILL Rounding

1) 8.5 2) 100 3) 310.3 4) 6 5) 7 6) 9.7 7) 118.38 8) 90.7 9) 65.9 10) 71

11) 76.68 12) 815.76 13) 877.7 14) 12.26 15) 16 16) 96 17) 2.41 18) 3.99 19) 76 20) 716.51

Comparing

1) 6.81>6.37 2) 6.32<6.5 3) 2.216>2.149 4) 6.48<6.99 5) 5.75=5.750 6) 2.59<2.684 7) 8.538>8.122 8) 6.81>6.1

Expand 1) 2×100+3×10+1+(8×1⁄10)+(5×1⁄100)+(6×1⁄)1000 2) 3+(6×1⁄10)+(1×1⁄100)+(1×1⁄1000) 3) 3×100+6×10+2+(7×1⁄10)+(2×1⁄100) 4) 7×10+9+(5×1⁄10)+(6×1⁄100)+(4×1⁄1000) 5) 4×10+2+(1×1⁄10)

STANDARD WholeNumbers

1)83x504=41832Heowns41,832cards. 2)Theotherteamisextrainformation.150–60=90Hegot90yardsrunning. 3)TheJulytemperatureisextrainformation.90–15=75Itwas75degreestoday. 4)80–20–25–8=27Shehas$27left. 5)1,000,000–999–22,222=976,779Youhave$976,779left. 6)1,882+25=1,907Shewas25in1,907. 7)11daysx24hoursperday=264totalhours.264hoursx60minutesperhour=15840total minutes.Shemustwait15,840minutes.

Decimals 1)C 2)D 3)D 4)B 5)870 6)1,050 7)1,270 8)300 9)107.315 10)820,040.05

WEEK2//3.NF.2/3.NF.3/4.NF.1/4.NF.3c

SKILL FractionsonNumberLine 1)8 2) 8

4 = 21 3) 8

8 = 1 4) 81 5)4 6) 4

2 = 21 7) 3

0 = 0 8) 31

9)B 10)D 11)A 12)D 13)D 14)C 15)A 16)B EquivalentFractions 1)9 2)8 3)16 4)20 5)27 6)6 7)54 8)709)24 10)20 11)15 12)42 13)25 14)44 15)28 16)66 17)36 18)60 19)16 20)9 21)18 22)30 23)4 24)9 25)< 26)> 27)< 28)= 29)> 30)= 31)> 32)<


SimplifyingFractions Mixed→Improper Improper→Mixed

STANDARD FractionsonNumberLine a) 4

1 b)TiedShoe= 43 Water= 4

5 = 1 41 Stretched= 4

9 = 2 41

Fractionsfromlefttoright: , , ,32

35

36

37

32 < 3

537 < 3

8 36 = 2

EquivalentFractions a)disagree b) 41 < 2

181 < 6

1 21 > 3

1 41 > 6

1

SimplifyingFractions&ConvertMixed/Improper

WEEK3//5.NF.1 SKILL

1) 320

2) =455 31 4

3

3) =67 1 6

1

4) =455 31 4

3

5) =24

35 1 2411

6) =861 7 8

5

7) 1413

8) =1138 3 5

11

STANDARD 1) 24

13

2) =1239 3 4

1

3) =1522 1 7

15

4) 6029

WEEK4//6.NS.1 SKILL

1) 85 2) 5

8 = 1 53 3) 90

30 = 31 4) 3

30 =110 5)49

6)8 7) 7 21 8) 32

100 =825 9) 88

275 = 3 81 10) 312

285 = 2 43

STANDARD 1)18 2) 1

20 3) 115 4)20 5)56

6) 124 7) 3 2

1 8) 732


WEEK5//6.NS.4 SKILL

LCM: 1)20 2)30 3)12 4)60 GCF: 1)4 2)7 3)18 4)12 Usedistributive: 1.5x+15 2.8+4m 3.6v+24 4.2b-10 UseGCF: 1.6(8+m) 2.4(5r+4z) 3.2(7n+6p) 4.9(4-z)

STANDARD 2)B 3)C 5)D 13)D 15)D

WEEK6//6.NS.2 SKILL

1) 15 65 2) 222 3) 351 5

1 4) 343 5) 6 62 1210 = 2 6

5

6) 0 01 828 = 1 7

2 7) 52 1615 8) 001 813

701 9) 165 151138 10) 23 716

243 STANDARD

1)Therewere65cansineachboxand4cansleftoveraftertheboxeswerefilled. 2)PartA:288students PartB:9busses(mustrounduptoawholebus) 3)C

WEEK7//6.NS.3 SKILL

Add 1)5.7 2)15.5 3)11.72 4)262.191 5)107.197 Subtract 1)4.1 2)12.9 3)1.79 4)28.84 5)22.092 Multiply 1)0.72 2)0.635 3)67.2 4)0.01488 5)28.32 Divide 1)0.8 2)0.25 3)6.85 4) 0.3 1 5)120

STANDARD 1)Multiply $6.45 2)Subtract 1.54miles 3)Add 15.7764km 4)Divide 4.4pounds 5)Add,thenSubtract $24.85 6)Divide,thenround 40DVDs(cost$40.46) 7)Multiply,thenAdd $11.63total(2boats=$7.76and3balls=$3.87) 8)Add,thenSubtract $38.95left

WEEK8//6.EE.1 SKILL

Exponents 1)9x9x9x9 2)4x4 3)4x4x4 4)6x6x6 5)8x8x8 6)45 7)92 8)42 9)34 10)55 11)4 12)512 13)729 14)36 15)216 16)64 17)25 18)8 19)27 20)49

OOO//WholeNumbers 1)51 2)66 3)81 4)8

OOO//WholeNumberswithExponents 5)79 6)54 7)25 8)66

STANDARD 1)33 2)$60 3)45 4)37.524 5)28


ANSWERKEY#2 __________________________________________________________________________________________________________________________________________________________________

PRACTICEQUIZZES __________________________________________________________________________________________________________________________________________________________________ WEEK1//4.NBT.4/5.NBT.5/5.NBT.4/5.NBT.3

1) 10,225 2)787,536 3)$2,016 4a)113 4b)113.3 4c)113.29 5)90.98>90.9>90.089>90>89.89 WEEK2//3.NF.2/3.NF.3/4.NF.1/4.NF.3c

FractionsonaNumberLine 1)sixths 1a) 61 1b) 6

5 1c) 69 = 1 2

1 1d) 612 = 2

EquivalentFractions C.DanicaandVincenteatthesameamountofpie. SimplifyingFractions&ConvertMixed/Improper 1 8

1

WEEK3//5.NF.1 1. 8

7 2.Babyby ofaday110 3. 1

12 4.45times WEEK4//6.NS.1

1. 25shifts 2.6batches 3) cups2 65

WEEK5//6.NS.4

1) 3rows 2)30minutes 3)54+45 4)8backpacks

WEEK6//6.NS.2 1) 432 2)6 3)14

WEEK7//6.NS.3

1.Divide.Goldpricein2010isabout34timesthepricein1974. 2a.Add.0.298oz 2b.Multiply.$10.73 2c.Subtract.$354.18

WEEK8//6.EE.1 1) 3 2)32 3)140


ANSWERKEY#2 __________________________________________________________________________________________________________________________________________________________________

PRACTICEQUIZZES DailyMemorization

__________________________________________________________________________________________________________________________________________________________________ MEMORIZATIONWEEKS1-5//BasicFacts MEMORIZATIONWEEKS6-8//PDFs


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