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英国十一年级【K11】Maths：higher205.Findingtheconstantofproportionalityfordirectlyproportionalrelationships - 01.Algebraicfractions
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Simplifyingalgebraicfraction ...
- 0:0 免费03.Operationswithalgebraicfract ...
- 0:0 免费04.Solvingequationswithalgebrai ...
- 0:0 免费05.Checkingandsecuringunderstan ...
- 0:0 免费06.Changingthesubjectwithmultip ...
- 0:0 免费07.Changingthesubjectwheretheva ...
- 0:0 免费08.Problemsolvingwithadvancedal ...
- 02.Nonright-angledtrigonometry
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Drawingthesineandcosinegraph ...
- 0:0 免费03.Drawingthetangentgraph
- 0:0 免费04.Interpretingthetrigonometric ...
- 0:0 免费05.Theareaofanytriangle
- 0:0 免费06.Calculatingtheareaofanytrian ...
- 0:0 免费07.Thesinerule
- 0:0 免费08.Thecosinerule
- 0:0 免费09.Usingthesineandcosinerules
- 0:0 免费10.Consideringtheappropriatetri ...
- 0:0 免费11.Problemsolvingwithnonright-a ...
- 03.2Dand3Dshapesurfaceareaandvolume(pyramids,spheresandcones)
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Checkingandsecuringunderstan ...
- 0:0 免费03.Checkingandsecuringunderstan ...
- 0:0 免费04.Checkingandsecuringunderstan ...
- 0:0 免费05.Checkingandsecuringunderstan ...
- 0:0 免费06.Checkingandsecuringunderstan ...
- 0:0 免费07.Thesurfaceareaofapyramid
- 0:0 免费08.Thevolumeofapyramid
- 0:0 免费09.Thesurfaceareaofasphere
- 0:0 免费10.Thevolumeofasphere
- 0:0 免费11.Thesurfaceareaofacone
- 0:0 免费12.Thevolumeofacone
- 0:0 免费13.Surfaceareaofcompositesolids
- 0:0 免费14.Volumeofcompositesolids
- 0:0 免费15.Volumeofafrustumofacone
- 0:0 免费16.Surfaceareaofafrustumofacone
- 0:0 免费17.Formingequationsinvolvingcom ...
- 0:0 免费18.Advancedproblemsolvingwithfu ...
- 04.Conditionalprobability
- 0:0 免费01.Checkingandsecuringdisplayin ...
- 0:0 免费02.Checkingandsecuringexhaustiv ...
- 0:0 免费03.Probabilitiesinvolvingalgebr ...
- 0:0 免费04.Frequencytrees
- 0:0 免费05.Checkingandsecuringcalculati ...
- 0:0 免费06.Checkingandsecuringcalculati ...
- 0:0 免费07.Experimentalprobability
- 0:0 免费08.Experimentalvstheoreticalpro ...
- 0:0 免费09.Setnotation
- 0:0 免费10.Conditionalprobabilityinatwo ...
- 0:0 免费11.ConditionalprobabilityinaVen ...
- 0:0 免费12.Conditionalprobabilityinatre ...
- 0:0 免费13.AlgebraintreeandVenndiagrams
- 0:0 免费14.ConstructingthreeeventVenndi ...
- 0:0 免费15.ProbabilitiesinthreeeventVen ...
- 0:0 免费16.Comparingmultiplerepresentat ...
- 0:0 免费17.Combinations
- 0:0 免费18.Advancedproblemsolvingwithco ...
- 05.Compoundmeasures
- 0:0 免费01.Checkingandfurthersecuringun ...
- 0:0 免费02.Compoundmeasuresforspeed
- 0:0 免费03.Compoundmeasuresfordensity
- 0:0 免费04.Compoundmeasuresforpressure
- 0:0 免费05.Convertingbetweenmetricspeed ...
- 0:0 免费06.Convertingbetweenmetricandim ...
- 0:0 免费07.Convertingbetweenothercompou ...
- 0:0 免费08.Combiningspeeds
- 0:0 免费09.Combiningdensities
- 0:0 免费10.Advancedproblemsolvingwithco ...
- 06.Real-lifegraphs
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Checkingandsecuringunderstan ...
- 0:0 免费03.Distance-timegraphs
- 0:0 免费04.Speed-timegraphs
- 0:0 免费05.Non-lineardistance-timegraph ...
- 0:0 免费06.Interpretinganddrawingreal-l ...
- 0:0 免费07.Interpretinganddrawingmorere ...
- 0:0 免费08.Calculatingtherateofchange
- 0:0 免费09.Estimatingthegradientofacurv ...
- 0:0 免费10.Improvingtheestimateofthegra ...
- 0:0 免费11.Findingtheequationofaradiuso ...
- 0:0 免费12.Findingtheequationofthetange ...
- 0:0 免费13.Calculatingjourneysfromlinea ...
- 0:0 免费14.Estimatingjourneysfromnon-li ...
- 0:0 免费15.Efficientlyestimatingjourney ...
- 0:0 免费16.Advancedproblemsolvingwithre ...
- 07.Directandinverseproportion
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Checkingandsecuringunderstan ...
- 0:0 免费03.Abstractdirectproportion
- 0:0 免费04.Findingtheconstantofproporti ...
- 0:0
免费05.Findingtheconstantofproporti ... - 0:0 免费06.Abstractinverseproportion
- 0:0 免费07.Findingtheconstantofproporti ...
- 0:0 免费08.Proportionmodelledalgebraica ...
- 0:0 免费09.Problemsolvingwithdirectandi ...
- 08.Functionsandproof
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Definingfunctionnotation
- 0:0 免费03.Findingtheinverseofafunction
- 0:0 免费04.Writingcompositefunctions
- 0:0 免费05.Solvingequationsinvolvingfun ...
- 0:0 免费06.Solvingequationsinvolvingcom ...
- 0:0 免费07.Generalalgebraicformsforspec ...
- 0:0 免费08.Makingconjecturesaboutpatter ...
- 0:0 免费09.Provingordisprovingastatemen ...
- 0:0 免费10.Writingageneralisedstatement ...
- 0:0 免费11.Writingaproof
- 0:0 免费12.Logicalarguments
- 0:0 免费13.Multipleapproachestologicala ...
- 0:0 免费14.Problemsolvingwithfunctionsa ...
- 09.Furthersequences
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Fibonacciandalternatingseque ...
- 0:0 免费03.Checkingandsecuringrulesforg ...
- 0:0 免费04.Identifyingvaluesinanarithme ...
- 0:0 免费05.Reasoningaboutvaluesinanarit ...
- 0:0 免费06.Conditionsinarithmeticsequen ...
- 0:0 免费07.Arithmeticsequencesandtheirg ...
- 0:0 免费08.Introducingquadraticsequence ...
- 0:0 免费09.Quadraticsequences
- 0:0 免费10.Checkingandsecuringunderstan ...
- 0:0 免费11.Sequencenotation
- 0:0 免费12.Advancedproblemsolvingwithfu ...
- 10.Iteration
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Buildingoncompositefunctions
- 0:0 免费03.Evaluatingiterativeformulas
- 0:0 免费04.Approximatingsolutionstoequa ...
- 0:0 免费05.Signsofasolution
- 0:0 免费06.Problemsolvingwithiteration
- 11.Graphicalrepresentationsofdatacumulativefrequencyandhistograms
- 0:0 免费01.Constructingacumulativefrequ ...
- 0:0 免费02.Interpretingacumulativefrequ ...
- 0:0 免费03.Constructingboxplots
- 0:0 免费04.Comparingboxplots
- 0:0 免费05.Interquartilerange
- 0:0 免费06.Histogramswithequalbarwidth
- 0:0 免费07.Histogramswithunequalbarwidt ...
- 0:0 免费08.Movingbetweentablesandhistog ...
- 0:0 免费09.Summarystatisticsfromhistogr ...
- 0:0 免费10.Constructinghistogramsandbox ...
- 0:0 免费11.Problemsolvingwithcumulative ...
- 12.Inequalities
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Non-solutionstosimultaneousl ...
- 0:0 免费03.Inequalitiesonnumberlines
- 0:0 免费04.Solvingsimplelinearinequalit ...
- 0:0 免费05.Solvingmorecomplicatedlinear ...
- 0:0 免费06.Linearinequalitiesincontext
- 0:0 免费07.Asinglesolutionset
- 0:0 免费08.Solutionsetnotation
- 0:0 免费09.Solvingalinearinequalitygrap ...
- 0:0 免费10.Solvingasetoflinearinequalit ...
- 0:0 免费11.Relatinggraphicalsolutionsto ...
- 0:0 免费12.Solvingquadraticinequalities ...
- 0:0 免费13.Solvingquadraticinequalities ...
- 0:0 免费14.Advancedproblemsolvingwithli ...
- 13.Vectors
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Columnvectors
- 0:0 免费03.Parallelvectors
- 0:0 免费04.Additionwithvectors
- 0:0 免费05.Subtractionwithvectors
- 0:0 免费06.Multiplicationwithvectors
- 0:0 免费07.Fluencyinarithmeticprocedure ...
- 0:0 免费08.Algebraicvectornotation
- 0:0 免费09.Parallelvectorsinalgebraicve ...
- 0:0 免费10.Thesumanddifferencewithalgeb ...
- 0:0 免费11.Fluencyinarithmeticprocedure ...
- 0:0 免费12.Calculatingthemagnitudeofave ...
- 0:0 免费13.Dividingvectorsintoratios
- 0:0 免费14.Geometricproofswithvectors
- 0:0 免费15.Advancedproblemsolvingwithve ...
- 14.Lociandconstruction
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Checkingandsecuringunderstan ...
- 0:0 免费03.Checkingandsecuringunderstan ...
- 0:0 免费04.Constructinganglesof90°and4 ...
- 0:0 免费05.Constructingatrianglegiventh ...
- 0:0 免费06.Constructingatrianglegiventw ...
- 0:0 免费07.Constructingatrianglegiventw ...
- 0:0 免费08.Constructingaright-angledtri ...
- 0:0 免费09.Constructingatrianglegiventw ...
- 0:0 免费10.Constructingloci
- 0:0 免费11.Applyingconstructionstolocip ...
- 0:0 免费12.Solvinglociproblemsincontext
- 0:0 免费13.Advancedproblemsolvingwithlo ...
- 15.Transformationsofgraphs
- 0:0 免费01.Checkingandsecuringunderstan ...
- 0:0 免费02.Checkingandsecuringunderstan ...
- 0:0 免费03.Transforminggraphsy=f(x)+a
- 0:0 免费04.Transforminggraphsy=f(x+a)
- 0:0 免费05.Transforminggraphsy=f(x)
- 0:0 免费06.Transforminggraphsy=f(x)
- 0:0 免费07.Transforminggraphsy=af(x)
- 0:0 免费08.Transforminggraphsy=f(ax)
- 0:0 免费09.Transforminggraphscombinatio ...
- 0:0 免费10.Problemsolvingwithgraphtrans ...
- 16.CircleTheorems1
- 0:0 免费01.CircleTheoremsAngleatthecent ...
- 0:0 免费02.CircleTheoremsAngleinasemici ...
- 0:0 免费03.CircleTheoremsAnglesinthesam ...
- 0:0 免费04.CircleTheoremsAnglesinacycli ...
- 17.CircleTheorems2
- 0:0 免费01.CircleTheoremsAtangentandrad ...
- 0:0 免费02.CircleTheoremsThealternatese ...
- 0:0 免费03.CircleTheoremsTheperpendicul ...
- 0:0 免费04.Mixedcircletheoremproblems
- 18.Constructions&Loci
- 0:0 免费01.Constructtriangles
- 0:0 免费02.Constructaperpendicularbisec ...
- 0:0 免费03.Constructaperpendicularbisec ...
- 0:0 免费04.Constructananglebisector
- 0:0 免费05.Lociaroundapoint
- 0:0 免费06.Locifromaline
- 0:0 免费07.Locifromashape
- 0:0 免费08.Equidistantfromtwopoints
- 19.Solveequationsnumerically(Iteration)
- 0:0 免费01.SolveequationsnumericallyCha ...
- 0:0 免费02.SolveequationsnumericallyTri ...
- 0:0 免费03.SolveequationsnumericallyRea ...
- 0:0 免费04.SolveequationsnumericallySol ...
- 20.DirectandInverseProportion
- 0:0 免费01.Simpledirectproportiony=kx
- 0:0 免费02.Otherdirectproportionrelatio ...
- 0:0 免费03.Inverseproportion
- 0:0 免费04.Furtherproportionality
- 21.Functions
- 0:0 免费01.Findaparticularvalueoff(x)
- 0:0 免费02.Solveequationsusingf(x)=
- 0:0 免费03.Compositefunctions
- 0:0 免费04.Findinversefunctions
- 22.FurtherAlgebraicFractions
- 0:0 免费01.Writethesumoftwoalgebraicfra ...
- 0:0 免费02.Writethedifferenceoftwoalgeb ...
- 0:0 免费03.Solvealgebraicfractionequati ...
- 0:0 免费04.Solvealgebraicfractionequati ...
- 23.AlgebraicProof
- 0:0 免费01.Provebycounterexample
- 0:0 免费02.Proveanexpressionwillbeamult ...
- 0:0 免费03.Consecutivenumberproofs
- 0:0 免费04.Oddandevennumberproofs
- 24.CircleGraphs
- 0:0 免费01.Drawandrecognisecirclegraphs ...
- 0:0 免费02.Decidewhetherapointlies,on,o ...
- 0:0 免费03.Intersectionoflinesandcircle ...
- 0:0 免费04.Findtheequationofatangenttoa ...
- 25.Probability3(Treediagrams)
- 0:0 免费01.Drawatreediagramforindepende ...
- 0:0 免费02.Calculateprobabilitiesofinde ...
- 0:0 免费03.Drawatreediagramfordependent ...
- 0:0 免费04.Calculateprobabilitiesofdepe ...
- 26.HigherProbability(ConditionalandFurtherSetNotation)
- 0:0 免费01.Conditionalprobabilitywordpr ...
- 0:0 免费02.Conditionalprobabilityfromat ...
- 0:0 免费03.Probabilityfromavenndiagramu ...
- 0:0 免费04.Probabilityfromavenndiagramu ...
- 27.Histograms
- 0:0 免费01.Plotahistogram
- 0:0 免费02.Findfrequencyfromahistogram
- 0:0 免费03.Findthemedianfromahistogram
- 0:0 免费04.Findprobabilitiesfromahistog ...
- 28.DataCollectionHigher
- 0:0 免费01.Designquestionnairesavoiding ...
- 0:0 免费02.Samplingmethods
- 0:0 免费03.Stratifiedsampling
- 0:0 免费04.Capture-recapture
- 29.Revise-LinearandQuadraticGraphs
- 0:0 免费01.Findthegradientofaline
- 0:0 免费02.Findtheequationofastraightli ...
- 0:0 免费03.Findtheinterceptandgradientf ...
- 0:0 免费04.Usinggradienttosolveproblems ...
- 0:0 免费05.Plotsimplequadraticequations
- 0:0 免费06.Plototherquadraticequations
- 0:0 免费07.SolvingQuadraticEquationsGra ...
- 0:0 免费08.Identifyandinterpretroots,in ...
- 0:0 免费09.Drawquadraticgraphs(a>1)
- 0:0 免费10.Drawquadraticgraphs(negative ...
- 0:0 免费11.Solvequadraticgraphs=0,=aand ...
- 0:0 免费12.Solvingquadraticequations,gi ...
- 30.CubicandReciprocalGraphs
- 0:0 免费01.Drawgraphsofsimplecubicfunct ...
- 0:0 免费02.Sketchgraphsofsimplecubicfun ...
- 0:0 免费03.Interpretgraphsofsimplecubic ...
- 0:0 免费04.Recognise,draw,sketchandinte ...
- 31.OtherGraphs(Trig,ExponetialandTransformations)
- 0:0 免费01.KnowtheGraphsofy=sin(x),y=co ...
- 0:0 免费02.Recognise,SketchandInterpret ...
- 0:0 免费03.Transformationofgraphs(trans ...
- 0:0 免费04.Transformationofgraphs(refle ...
- 32.Furthergraphs(GradientsAreaofcurves)
- 0:0 免费01.Estimatethegradientofacurve
- 0:0 免费02.Estimateandinterpretthegradi ...
- 0:0 免费03.Findtheareaunderastraightlin ...
- 0:0 免费04.Estimatetheareaunderacurve
- 33.GraphsofInequalities
- 0:0 免费01.Representinequalitiesonacoor ...
- 0:0 免费02.Representinequalitiesonacoor ...
- 0:0 免费03.Shadeintheregiondefinedbysev ...
- 0:0 免费04.Identifyinequalitiesthatmake ...
- 34.Compoundmeasures
- 0:0 免费01.Useandapplythespeedformula
- 0:0 免费02.Useandapplythedensityformula
- 0:0 免费03.Useandapplythepressureformul ...
- 0:0 免费04.Solvesimplekinematicsproblem ...
- 35.VolumeandSurfaceAreaHigher3
- 0:0 免费01.Surfaceareaandvolumeofahemis ...
- 0:0 免费02.VolumeFurtherproblemsolvingw ...
- 0:0 免费03.Findthevolumeofafrustum
- 0:0 免费04.SurfaceAreaFurtherproblemsol ...
- 36.TranslateandVectors1
- 0:0 免费01.Translateanddescribeanobject ...
- 0:0 免费02.Translateanddescribea2Dvecto ...
- 0:0 免费03.Representacolumnvectorasadia ...
- 0:0 免费04.Writeacolumnvectorfromadiagr ...
- 37.Vectors2
- 0:0 免费01.Addtwocolumnvectors(includin ...
- 0:0 免费02.Addandsubtracttwocolumnvecto ...
- 0:0 免费03.Multiplyavectorbyascalar
- 0:0 免费04.Addandsubtracttwocolumnvecto ...
- 38.HigherVectors1
- 0:0 免费01.Findthelengthofacolumnvector
- 0:0 免费02.Simplevectordiagrams
- 0:0 免费03.Vectordiagramsinvolvingmidpo ...
- 0:0 免费04.Vectordiagramsinvolvingratio ...
- 39.HigherVectors2andCongruentTriangles
- 0:0 免费01.Provethattwovectorsareparall ...
- 0:0 免费02.Conditionsofcongruenttriangl ...
- 0:0 免费03.Provetrianglesarecongruent
- 40.EnlargementandSimilarity
- 0:0 免费01.Enlargementwithanegativescal ...
- 0:0 免费02.Describeanenlargementwithane ...
- 0:0 免费03.Findareasofsimilarshapesgive ...
- 0:0 免费04.Findvolumesofsimilarshapesgi ...