Critical  Lessons  for  Schools  Implementing  Singapore  Math:    Second  grade:     US  Edition:   1B  Unit  8       St  Edition:              1B  Unit  18      Third  grade:     US  Edition:   2A  Unit  2,  Unit  5,  Unit  6         2B  Unit  1,  Unit  2,  Unit  4       St  Edition:   2A  Unit  2,  Unit  5,  Unit  6                                     2B  Unit  7,  Unit  8,  Unit  10    Fourth  grade:     US  Edition:   2A  Unit  2,  Unit  5,  Unit  6         2B  Unit  1,  Unit  2,  Unit  4         3A  Unit  2,  Unit  3,  Unit  4         3B  –  all     St  Edition:   2A  Unit  2,  Unit  5,  Unit  6         2B  Unit  7,  Unit  8,  Unit  10         3A  Unit  2,  Unit  3,  Unit  4         3B  –  all    Fifth  grade:     US  Edition:   All  the  above  and:         4A    Unit  2  (multiplication  by  2-­‐Digit  Number)  Unit  3,    

             Unit  5  (if  CC  is  of  concern),  Unit  7  4B    Unit  1,  Unit  2,  Unit  6  (if  CC  is  of  concern)  

    St  Edition:   All  the  above  and:         4A  Unit  2  (multiplication  by  2  digit  number),  Unit  3  

           Unit  4  (if  CC  is  of  concern),    Unit  5         4B  Unit  6,  Unit  7,  Unit  9  (if  CC  is  of  concern),    

         Unit  11(cubic  units/volume  if  CC  is  of  concern)      

ForsuccessinSecondGrade:1B:Chapter16Numbersto1201B:Chapter17Addition&Subtractionto100 (concreteworkwithmats/basetenblocksordisks)1B:Chapter18MultiplicationandDivision (beginningconcepts–focusonconcreteunderstandings)ForsuccessinThirdGrade:2A:Chapter2Additionto10002A:Chapter3Subtractionto10002A:Chapter5Multiplication&Divisionconcepts2A:Chapter6Multiplicationwith2,5,and102B:Chapter10MentalMath&Estimation

Lesson10.1–MeaningofSumandLesson10.2–MeaningofDifferenceareparticularlyimportant.Knowledgeofindividualstudentsshouldguideteachersindecidingwhich(ifany)oftheotherstrategiesincludedinthischapterareessentialforsuccessinG3work.

2B:Chapter12Fractions(concretework)2B:Chapter15Multiplicationwith3and4ForsuccessinFourthGrade:3A:Chapter3Additionto10,0003A:Chapter4Subtractionto10,0003A:Chapter5BarModelsforAddition&Subtraction

ThischaptermaybeusedinsteadofChapters3&4.Algorithmsmaybecoveredasastrategyfordoingcalculationstosolvethewordproblemsinthischapter.Chapters3&4canbeusedasaproblembankforcreatingadditionalwordproblemsforstudentstosolve.

3A:Chapter6Multiplywith6,7,8and93A:Chapter7Multiplication(multi-digitbysingledigit)3A:Chapter8Division(Lesson8.3isnon-essential)

CriticalLessonsforMathInFocuslesliearceneaux@me.com

SMARTTraining

Singapore&CommonCoreMathAdvisors,Resources&TeacherTraining

ForsuccessinFourthGrade(con’t):3A:Chapter9UsingBarModels:Multiplication&Division

ThischaptermaybeusedinsteadofChapters7&8.Algorithmsmaybecoveredasastrategyfordoingcalculationstosolvethewordproblemsinthischapter.Chapters7&8canbeusedasaproblembankforcreatingadditionalwordproblemsforstudentstosolve.

Pleasenote:Ifastudentwillbeallowedtousecalculatorsonhighstakestests,itmaybeprudenttospendmoretimeonconceptualunderstandingandinterpretingwordproblemsthanonmasteringalgorithms.3B:Chapter14Fractions3B:Chapter17AnglesandLines3B:Chapter19Area/Perimeter(concrete)Studentsshouldalsounderstandhowtousearulertomeasureininches,feet,andyardsandtherelationshipsbetweentheseunitsofmeasure(e.g.,12inches=1foot)andthenotionthatthelargertheunit,thefewerofthatunitrequiredtoexpressaquantity…acriticalunderstandingwhichhasapplicationinfractionequivalenceaswell.ForsuccessinFifthGrade:4A:Chapter3WholeNumberMultiplicationandDivision Thischapterisonlycriticalifnocalculatorisallowedforhigh-stakestesting.4A:Chapter6FractionsandMixedNumbers4A:Chapter7Decimals4A:Chapter8Adding&SubtractingDecimals4B:Chapter12Area/Perimeter Lesson12.4UsingFormulasforAreaandPerimeter–enoughunderstandingof A=LxWtousethisformulatocalculatevolumeasV=B�h(whereBistheareaofthe baseofarectangularprismandhistheheightoftheprismasthisisakeyconceptforGrade5inCCSM)

AdditionalResourcesforSingaporeMath&MathInFocusAvailableatSingaporemath.com

ExtraPracticeBook–Grades1-6–WorkbooksForstudentsorclasseswhohavenotmasteredthelessonandneedadditionalpractice.

ChallengingWordProblems-Grades1-6–Workbookstoextendanddifferentiateforhigherlevellearners.

DifferentiatedSprints-Grades1-5Workbooktobeusedtodevelopfactfluencyandusedasmentalmathpractice.Teachersfrequentlygodownagradeortwotoreinforcepriorconcepts.

PlaceValueDisks–Manipulativeusedtodevelopwholenumberanddecimalplacevalue.AvailableonSingaporemath.comColorcodedtomatchtextbookssingaporemathNOW.com

MathWorks–5a,5b,6aand6b–Writtenforstudentswholackfoundationalskills.EarlierconceptsarepresentedinamorematuremannerthanPrimarytextbooks.Bestusedtoforstrugglingstudentsingrades5and6.AlsocanbeusedbysubjecttopreteachconceptsinPrimaryMathforthosewhoarenotreadyforthelesson.

SpeedMaths–WorkbooksthatgivestudentsextrapracticeinMentalMathstrategies.(UsetheseinsteadofFrankShaffermaterialsavailableatbookstores.)

TeacherResourceBooks–availablefromvarioussources(checkouteBay)

TeachingStudent-CenteredMathematicsbyJohnA.VandeWalle–availableforgradesK-3,3-5and5-8.Excellentresourcefornotonlyunderstandingthemathbehindtheteaching,butalsofullofreadytoimplementteachingstrategiesandtasks. TheSingaporeModelMethodforLearningMathematicsbySingaporeMinistryofEducation

TheRekenrek-byJeffFrykholmOutlineslessonsondevelopingsubitizingandvisualthinking,maketenstrategy.

ElementaryMathematicsforTeachersbyParker/Baldridge–AtextforteacherswishingtodeepentheirownmathematicalknowledgeandwaystoputthatknowledgeintopracticeusingSingaporemethods.

MathematicalMindsets:UnleashingStudents’PotentialthroughCreativeMath,InspiringMessagesandInnovativeTeachingbyJoBoaler

AvailableatSingaporeMathNOW.com

AFTERSCHOOLCLUB-writtenbySMARTTraining.Eachbinderisapullout,fullyscriptedsetof20lessonscoveringfoundationalconcepts.Canbeusedforintervention,summerprogramorreteachtool.

SMARTSUMSandSMARTSUBTRACTION–K-2differentiatedkitdevelopedbyGregTangtoreinforceMakeTenStrategyTenFrameStampsBlankTenFrameStampNumberBondStampPlaceValueDisks–WholenumberandDecimalthatarecolorcodedtotextbooks.MathTwister–cardgameforfactfluencyandproblemsolvingforgrades3andup.FactFluencyComputerSprintsforLevels1-5ForMACorPCSiteSchoolSiteLicenseonetimefee.RocketSolversGame-Storybasedmathgamecoveringmaterialtaughtin1stgrade.Greatforreview2ndto4thgrade

ComputerResources-Mostofthesearefreeunlessotherwisenoted

http://www.thesingaporemaths.comGivesinstructionandpracticesolvingcomputationsusingthebarmodelmethod.

http://www.thinkingblocks.com/Givesinstructionandpracticeinsolvingwordproblemsusingthebarmodelmethod

www.MissKoh.infoisawebsitesupportedbySingapore’sStraitsTimes.Ifyouclickontheacademicyear,thenthegradelevelyouareinterestedin,youwillbebroughttoapageofmid-yearandfinalsemestralpapersaswellasafewcontinualassessmentpapers,allfromtopschoolsinSingapore.Forexample;select2008andPrimary6andyouareofferedtestpapersforEnglish,Chinese,MathorSciencefrom5schools.(Youneedtoregisterforsomeoftheschools)

http://www.kosjourney.com/Ko'sJourneytakesatargetedstorybasedapproachinapart-time6weekprogramfocusingonthecriticalareasoftheCommonCore.Beautifulartandintegratedmathematics.Aimedfor6thgradeandup

www.mathplayground.comAvarietyofgamesandvirtualmanipulativesforallgrades

www.ixl.comAgreatmathpracticesite.Feebased

www.dreambox.com-adaptivelearningplatformthatpersonalizesinstructionfrominterventionthroughenrichment;Continuousformativeassessmentinandbetweenlessons,analyzesover48,000datapointsperstudentperhourtoprovidetherightnextlessonattherighttime–feebased

www.sumdog.comStudentscancompetewithstudentsfromotherschoolsorwithintheschoolinFactFluency

http://resources.woodlands-junior.kent.sch.uk/maths/goodsiteforfactfluencyaimedfor7-11yearolds

http://mathartfun.com/shopsite_sc/store/html/Greeting.htmlWheremathandartmeet

http://www.cut-the-knot.org/games.shtmlLotsofpuzzlestopromoteproblemsolving

https://www.youcubed.org/JoBoaler’ssiteforactivities/teachingstrategiesthatencouragegrowthmindset

iPadAppsforStudents

ZoomMath–utilizesthepinchresizingoftheiPadtoreinforcenumericorderandrelativesize

PickaPath-Problemsolvingmath

NumberRack–AvirtualRekenRek

Tangram–Virtualtangrampuzzles

SingaporeMath–BarModelproblems

NumberBondMemorizer–Buildsfoundationally.Studentmustexhibitskillinaddingcreatingnumbersbondsstartingwiththe#1

iLiveMath–reallifewordproblems

FindSums–usingnumbersbondspartwholepractice

MathMonkey–requiresgamingskilltotargetcorrectanswerforfunmathpractice

RocketSolver-Recognizing10friendlynumbers,numberbondsreinforcementanddecomposingtomake10

BEWARETHATTHEREAREANUMNEROFAPPSINTHEiTUNESSTORETHATCLAIMTOBENUMBERBONDSBUTARESTRICTLYFACTPRACTICETHEREISNOPICTORIALREPRESENTATIONOFANUMBERBOND

SingaporeMath/MathInFocusReviewSeries(Excellentforsummerbridging)

RSMReviewSingaporeMath–Blacklinemasterorstudentworkbook(withsolutions).NOTE:Level3reviewsmathcontentfrom2ndgrade.Availablefromwww.SingaporeMathNow.com

SingaporeSummerShape-Ups–StudentworkbooksavailableforlevelsK–PreAlgebra(Course2MIF)

NOTE:Level2reviewsmathcontentfrom2ndgrade.Includesa“ThinkingGuide”whichprovides“coaching”forstudents/parentstruetoSingaporeMath&MathInFocusstrategiesalongwithsolutionsAvailablefromwww.3mathmavens.com

iPadAppsforTeachers

EduCreations–Forteachers-becomesaninteractivewhiteboardthatyoucanrecordlessonstoshare,emailwithstudentsorcolleagues

AirServer–GotoAirserver.comanddownloadsoftwarethatwillallowyoutomirrorwirelesslyonaprojectoryouriPad(AlsoworksonAndroiddevices)SmallFee

Edmodo-FreesoftwaretomirroryouriPad

CommonCore-Thestandardsbytopicandgradelevel

KhanAcademy–Everythingfromlessonsonteachingadditiontoadvancedproblemsolving

ForParents

ArithmeticforParentsbyRonAharonipublishedbySumidazt