加州数学标准

ARDBOOFEDUAdoptedbytheofEducationMathematicsContentStandardsforCaliforniaPublicSchoolsGradeTwelveCaliforniaStateBoardDecember,1997KindergartenThroughMathematicsContentStandardsforCaliforniaPublicSchoolsKindergartenThroughGradeTwelveSTATEOFCALIFORNIADEPARTMENTOFEDUCATIONPublishingInformationWhentheMathematicsContentStandardsforCaliforniaPublicSchools,KindergartenThroughGradeTwelvewasadoptedbytheCaliforniaStateBoardofEducationonDecember11,1997,themembersoftheStateBoardwerethefollowing:YvonneW.Larsen,President;JerryHume,Vice-President;KathrynDronenburg;MarionJoseph;MeganKephart;S.WilliamMalkasian;MarionMcDowell;JanetG.Nicholas;GertiB.Thomas;RobertL.Trigg;andMarinaTse.ThispublicationwaseditedbyFayeOng,workingincooperationwithBillLucia,ExecutiveDirector,andKimberlyYee,ProgramandPolicyAnalyst,StateBoardofEducation.ItwasdesignedandpreparedforprintingbythestaffofCDEPress,withthecoverandinteriordesigncreatedandpreparedbyCherylMcDonald.TypesettingwasdonebyGloriaBarreiroandCareyJohnson.ItwaspublishedbytheDepartmentofEducation,721CapitolMall,Sacramento,California(mailingaddress:P.O.Box944272,Sacramento,CA94244-2720).ItwasdistributedundertheprovisionsoftheLibraryDistributionActandGovernmentCodeSection11096.©1999bytheCaliforniaDepartmentofEducationAllrightsreservedISBN0-8011-1457-8SpecialAcknowledgmentTheStateBoardofEducationacknowledgesthemembersandstaffoftheCommissionfortheEstablishmentofAcademicContentandPerformanceStandards(AcademicStandardsCommis­sion)fortheirworkindevelopingandrecommendingadraftoftheMathematicsContentStandardsforCaliforniaPublicSchoolstotheStateBoardofEducationundertheprovisionsofEducationCodeSection60605.ThemembersandstaffoftheAcademicStandardsCommissionatthetimeoftheapprovalofthedraftmathematicscontentstandardswerethefollowing:EllenWright,Chair*;BobCalfee,ViceChair;JosephCarrabino*;JudyCodding*;DanielCondron*;JohnD’Amelio;LindaDavis*;BillEvers*;AndrewGalef*;JerilynHarris*;DorothyJueLee;MarkOrtiz*;JudyPanton;RaymundParedes;AlicePetrossian;KateSimpson;LawrenceSiskind;LarryStupski*;JerryTreadway;LaTanyaWright;DelaineEastin,StateSuperintendentofPublicInstruction;SoniaHernandez,theSuperintendent’sdesignee;andScottHill,ExecutiveDirector.Note:Theasterisk(*)identifiesthosememberswhoservedontheMathematicsCommitteeoftheAcademicStandardsCommission.SpecialcommendationisalsoextendedtotheleadershipofJanetNicholasandRobertL.Trigg,membersoftheStateBoardofEducation;SueStickel,amemberoftheCurriculumDevelopmentandSupplementalMaterialsCommission;andinternationallyrecognizedmathematiciansDrs.GunarCarlsson,DavidGeary,R.JamesMilgram,RichardAskey,andH-H.Wu.Theirserviceandcontributionstothemathematicsadhoccommitteedeservespecialrecognition.OrderingInformationCopiesofthispublicationareavailablefor$8.50each,plusshippingandhandlingcharges.Californiaresidentsarechargedsalestax.OrdersmaybesenttoCDEPress,SalesOffice,CaliforniaDepartmentofEducation,P.O.Box271,Sacramento,CA95812-0271;FAX[phone].Seepage64forapartiallistofothereducationalresourcesavailablefromtheDepartment.Inaddition,anillustratedEducationalResourcesCatalogdescribingpublications,videos,andotherinstructionalmediaavailablefromtheDepartmentcanbeobtainedwithoutchargebywritingtotheaddressgivenaboveorbycallingtheSalesOfficeat(916)445-1260.NoticeTheguidanceinMathematicsContentStandardsforCaliforniaPublicSchoolsisnotbindingonlocaleducationalagenciesorotherentities.Exceptforthestatutes,regulations,andcourtdecisionsthatarereferencedherein,thedocumentisexemplary,andcompliancewithitisnotmandatory.(SeeEducationCodeSection33308.5.)PreparedforpublicationbyCSEAmembers.ContentsAMessagefromtheStateBoardofEducationandtheStateSuperintendentofPublicInstruction............................................................................................................................ivIntroduction...............................................................................................................................................vKindergarten.............................................................................................................................................1GradeOne..................................................................................................................................................4GradeTwo.................................................................................................................................................7GradeThree.............................................................................................................................................11GradeFour...............................................................................................................................................15GradeFive................................................................................................................................................20GradeSix..................................................................................................................................