《GRE數(shù)學(xué)難題》PPT課件GetreadytoacetheGREMathsectionwiththeseexperttipsandstrategies.Fromarithmetictodifferentialcalculus,thiscomprehensiveguidehasgotyoucovered.IntroductiontoGREMathSectionWhatistheGRE?TheGraduateRecordExamination,orGRE,isastandardizedtestoftenrequiredforgraduateschooladmissions.TheGREMathSectionConsistsoftwosectionswith20questionseachandatimelimitof35minutespersection.ToolsYouCanUseYou'reallowedtouseacalculatorandawhiteboardsheet,butnotatabletoramobilephone.TypesofGREMathQuestions1QuantitativeComparisonComparetwoquantitiesanddeterminewhichisgreater,oriftheyareequalorcannotbecompared.2NumericEntryEntertheanswerforamathematicalproblemusingtheprovidedkeypad.3MultipleChoiceSelectthecorrectanswerfromfiveanswerchoices.4DataInterpretationInterpretgraphs,charts,statistics,andtablestoanswerquestions.TipsforPreparingforGREMath1GetSomeRestMakesuretohaveenoughrestandavoidcrammingthenightbeforethetest.2PracticeRegularlyDoonepracticetestperweekandreviewtheresultstoidentifyweakpoints.3JoinaStudyGroupCollaboratewithpeersandaskyourinstructorsandcounselorsforhelp.ArithmeticandAlgebraReviewOrderofOperationsLearnhowtoapplyPEMDASandBODMAStosimplifyexpressions.RatioandProportionUnderstandhowtosolveproblemsthatinvolveratiosandproportions.LinearEquationsReviewhowtosolvesystemsoflinearequationsusingsubstitution,elimination,orgraphing.QuadraticEquationsFamiliarizeyourselfwiththequadraticformulaandmethodsforfindingroots.GeometryConceptsTrianglesLearnaboutthePythagoreanTheorem,thepropertiesofisosceles,equilateral,andrighttriangles,andhowtocalculateanglesandareas.RectanglesDiscoverhowtocalculateperimetersandareasofrectangles,squares,andotherpolygons.CirclesReviewcircleterminologyandformulasforcircumference,area,andarclength.ProblemSolvingStrategies1BrainstormIdentifytheinformationandconceptspresentedintheproblemandbrainstormstrategiestoapproachit.2UseYourToolsWiselyMakesuretouseyourcalculator,whiteboard,andothertoolseffectivelyandefficiently.3CheckYourAnswerMakesuretoverifythatyouransweriscorrectandreasonable,andgobackandreviewyourworkifnecessary.DataAnalysisandProbability1Statistics&ProbabilityLearnhowtoanalyzedata,calculateprobabilities,andusestatisticalconceptsandformulastosolveproblems.2DataTypes&DistributionsFamiliarizeyourselfwithdifferenttypesofdata,distributions,andgraphs,andlearnhowtointerpretandanalyzethem.3ConditionalProbabilityUnderstandhowtocalculateprobabilitybasedongivenconditions,andhowtouseconditionalstatementstoderiveconclusions.PracticeQuestionsGREMathPracticeTestsAccessavarietyofpracticetestsandmaterials,includingsamplequestionsandofficialreleasedtests.GREMathPrepCoursesEnrollinatutoringprogram,anonlineprepcourse,oraself-pacedstudyprogram.GREMathStudyBooksConsulttextbooks,handbooks,andstudyguideswithdetailedexplanationsandpracticeproblems.SolvingMultipleChoiceQuestionsEliminateWrongAnswersCrossoutclearlywronganswerchoicesandnarrowdownyouroptions.RewordingtheQuestionTrytorephrasethequestionandseeifyoucangetabetterunderstandingofit.PluginNumbersTryplugginginnumbersinplaceofvariablestoseeifyoucangetananswer.TimeManagementTechniquesWorkonEasyQuestionsFirstHelpsbuildconfidenceandmanagetimebetter.Don'tSpendTooMuchTimeonOneQuestionMarkthequestionandcomebacktoitlaterifnecessary.GuessStrategicallyEliminatetheworstanswerchoices,anddon'tleaveanyanswerchoicesblank.TrianglesandTrigonometry1SpecialRightTrianglesDiscoverspecialpropertiesof45-45-90and30-60-90trianglesandlearnhowtousethesepropertiestosolveproblems.2TrigonometricFunctionsFamiliarizeyourselfwiththetrigonometricfunctions,theirratiosandformulas,andhowtosolvetrigonometricequations.3SphericalTrigonometryExplorethepropertiesoftrianglesonthesurfaceofasphereandlearnhowtoapplytrigonometricconceptsandformulastosolvesphericalproblems.PropertiesofLinesandAngles1ParallelandPerpendicularLinesUnderstandhowtoidentifyandworkwithparallelandperpendicularlines,andtheirproperties.2TransversalsLearnhowtoworkwithtransversalsandtheiranglesandproperties.3AnglePairsFamiliarizeyourselfwithdifferenttypesofanglepairsandtheirrelationships,includingcomplementary,supplementary,adjacent,andcongruentanglepairs.QuadrilateralsandPolygonsParallelogramsReviewthepropertiesandformulasofparallelograms,includingarea,perimeter,anddiagonals.PolygonsUnderstandthepropertiesandformulasofregularandirregularpolygons,includingarea,perimeter,andangles.TrapezoidsLearnhowtoidentifyandworkwithtrapezoidsandtheirpropertiesandformulas.Perimeter,AreaandVolume1PerimeterandAreaFormulasFamiliarizeyourselfwiththeformulasforcalculatingperimeterandareaofdifferentshapes,includingcircles,triangles,rectangles,andpolygons.2VolumeofSolidsLearnhowtocalculatethevolumeofdifferent3Dshapes,includingcylinders,cones,spheres,andprisms.3SurfaceAreaofSolidsUnderstandhowtocalculatethesurfaceareaofdifferent3Dshapes,includingcubes,spheres,cylinders,andcones.CoordinateGeometryCartesianCoordinateSystemLearnhowtoplotandreadpointsontheCartesianplaneandcalculatedistancesandmidpointsbetweenpoints.SlopeandEquationofaLineUnderstandhowtocalculateslopeandfindtheequationofalinegiventwopointsorapointandaslope.EquationsofConicsFamiliarizeyourselfwiththeformulasofcircles,ellipses,hyperbolas,andparabolas.FunctionsandGraphing1DefinitionofaFunctionUnderstandthepropertiesoffunctions,includingdomain,range,andinversefunctions.2GraphofaFunctionLearnhowtographfunctionsandhowtoreadgraphstodeterminepropertiesofthefunction.3TransformationsofGraphsUnderstandhowtotransformthegraphofabasicfunctionandhowtorecognizeandworkwithcompositefunctions.AdvancedAlgebra1MatricesandDeterminantsLearnhowtoworkwithmatricesanddeterminants,includingadding,subtracting,multiplying,andinversingmatricesandfindingthedeterminantofamatrix.2ComplexNumbersFamiliarizeyourselfwiththepropertiesandapplicationsofcomplexnumbers,includingaddition,subtraction,conjugation,andmultiplication.3SetsandSetOperationsUnderstandthepropertiesofsetsandhowtoworkwithsetoperations,includingunion,intersection,andcomplementoperations.ConicSectionsCirclesLearnhowtofindtheequationofacircle,thecenterandradiusofacircle,andhowtorelateacircle'sequationtoitsgraph.ParabolasDiscoverthepropertiesofaparabola,includingitsequation,vertex,axisofsymmetry,andfocus.HyperbolasUnderstandthepropertiesofahyperbola,includingitsequation,center,foci,andasymptotes.LimitsandDerivativesDefinitionofaLimitUnderstandthedefinitionandpropertiesofalimitandhowto