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首页/UK高中/十一年级/Maths/英国十一年级【K11】Maths：higher

英国十一年级【K11】Maths：higher

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英国十一年级【K11】Maths：higher

 01.CircleTheorems1

0:0 免费01.CircleTheoremsAngleatthecentreandangleatthecircumference

0:0 免费02.CircleTheoremsAngleinasemicircleis90degrees

0:0 免费03.CircleTheoremsAnglesinthesamesegment

0:0 免费04.CircleTheoremsAnglesinacyclicquadrilateral

 02.CircleTheorems2

0:0 免费01.CircleTheoremsAtangentandradiusareperpendicularatthepointofcontact

0:0 免费02.CircleTheoremsThealternatesegmenttheorem

0:0 免费03.CircleTheoremsTheperpendicularfromthecentretoachordbisectsthechord

0:0 免费04.Mixedcircletheoremproblems

 03.Constructions&Loci

0:0 免费01.Constructtriangles

0:0 免费02.Constructaperpendicularbisector

0:0 免费03.Constructaperpendicularbisectorfromapointtoaline

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

 04.Solveequationsnumerically(Iteration)

0:0 免费01.SolveequationsnumericallyChangeofsign

0:0 免费02.SolveequationsnumericallyTrialandimprovement

0:0 免费03.SolveequationsnumericallyRearrangetoformiterativeformulae

0:0 免费04.SolveequationsnumericallySolvingequationsusingiteration

 05.DirectandInverseProportion

0:0 免费01.Simpledirectproportiony=kx

0:0 免费02.Otherdirectproportionrelationships

0:0 免费03.Inverseproportion

0:0 免费04.Furtherproportionality

 06.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

 07.FurtherAlgebraicFractions

0:0 免费01.Writethesumoftwoalgebraicfractionswherethedenominatorisanexpression

0:0 免费02.Writethedifferenceoftwoalgebraicfractionswherethedenominatorisanexpression

0:0 免费03.Solvealgebraicfractionequations

0:0 免费04.Solvealgebraicfractionequationsinvolvingadditionorsubtraction

 08.AlgebraicProof

0:0 免费01.Provebycounterexample

0:0 免费02.Proveanexpressionwillbeamultipleofagivennumber

0:0 免费03.Consecutivenumberproofs

0:0 免费04.Oddandevennumberproofs

 09.CircleGraphs

0:0 免费01.Drawandrecognisecirclegraphsoftheformx2+y2=r2

0:0 免费02.Decidewhetherapointlies,on,outsideorinsideacircle

0:0 免费03.Intersectionoflinesandcircles

0:0 免费04.Findtheequationofatangenttoacircleatagivenpoint

 10.Probability3(Treediagrams)

0:0 免费01.Drawatreediagramforindependentevents

0:0 免费02.Calculateprobabilitiesofindependentevents

0:0 免费03.Drawatreediagramfordependentevents

0:0 免费04.Calculateprobabilitiesofdependentevents

 11.HigherProbability(ConditionalandFurtherSetNotation)

0:0 免费01.Conditionalprobabilitywordproblems

0:0 免费02.Conditionalprobabilityfromatwo-waytable

0:0 免费03.Probabilityfromavenndiagramusingfurthersetnotation(2sets)

0:0 免费04.Probabilityfromavenndiagramusingfurthersetnotation(3sets)

 12.Histograms

0:0 免费01.Plotahistogram

0:0 免费02.Findfrequencyfromahistogram

0:0 免费03.Findthemedianfromahistogram

0:0 免费04.Findprobabilitiesfromahistogram

 13.DataCollectionHigher

0:0 免费01.Designquestionnairesavoidingbias

0:0 免费02.Samplingmethods

0:0 免费03.Stratifiedsampling

0:0 免费04.Capture-recapture

 14.Revise-LinearandQuadraticGraphs

0:0 免费01.Findthegradientofaline

0:0 免费02.Findtheequationofastraightlineusingy=mx+c

0:0 免费03.Findtheinterceptandgradientfromalinegiveninanyform

0:0 免费04.Usinggradienttosolveproblemswithparallellines

0:0 免费05.Plotsimplequadraticequations

0:0 免费06.Plototherquadraticequations

0:0 免费07.SolvingQuadraticEquationsGraphically

0:0 免费08.Identifyandinterpretroots,interceptsandturningpointsofquadraticgraphs

0:0 免费09.Drawquadraticgraphs(a>1)

0:0 免费10.Drawquadraticgraphs(negativexsquared)

0:0 免费11.Solvequadraticgraphs=0,=aand=ax+b

0:0 免费12.Solvingquadraticequations,givenadifferentquadratic,usingasketch

 15.CubicandReciprocalGraphs

0:0 免费01.Drawgraphsofsimplecubicfunctionsusingatableofvalues.

0:0 免费02.Sketchgraphsofsimplecubicfunctions,givenasthreelinearexpressions.

0:0 免费03.Interpretgraphsofsimplecubicfunctions,includingfindingsolutionstocubicequations

0:0 免费04.Recognise,draw,sketchandinterpretgraphsofthereciprocalfunctiony=1x

 16.OtherGraphs(Trig,ExponetialandTransformations)

0:0 免费01.KnowtheGraphsofy=sin(x),y=cos(x)andy=tan(x)

0:0 免费02.Recognise,SketchandInterpretGraphsofExponentialFunctions(y=k^x)

0:0 免费03.Transformationofgraphs(translations)

0:0 免费04.Transformationofgraphs(reflections)

 17.Furthergraphs(GradientsAreaofcurves)

0:0 免费01.Estimatethegradientofacurve

0:0 免费02.Estimateandinterpretthegradientofacurve

0:0 免费03.Findtheareaunderastraightline

0:0 免费04.Estimatetheareaunderacurve

 18.GraphsofInequalities

0:0 免费01.Representinequalitiesonacoordinategrid1

0:0 免费02.Representinequalitiesonacoordinategrid2

0:0 免费03.Shadeintheregiondefinedbyseveralinequalities

0:0 免费04.Identifyinequalitiesthatmakeupashadedregion

 19.Compoundmeasures

0:0 免费01.Useandapplythespeedformula

0:0 免费02.Useandapplythedensityformula

0:0 免费03.Useandapplythepressureformula

0:0 免费04.Solvesimplekinematicsproblems(velocity,initialvelocityandaccelerationformulae)

 20.VolumeandSurfaceAreaHigher3

0:0 免费01.Surfaceareaandvolumeofahemisphere

0:0 免费02.VolumeFurtherproblemsolvingwithspheres,conesandpyramids

0:0 免费03.Findthevolumeofafrustum

0:0 免费04.SurfaceAreaFurtherproblemsolving

 21.TranslateandVectors1

0:0 免费01.Translateanddescribeanobjectgivenahorizontalorverticalinstruction

0:0 免费02.Translateanddescribea2Dvector

0:0 免费03.Representacolumnvectorasadiagramandusingnotation

0:0 免费04.Writeacolumnvectorfromadiagram

 22.Vectors2

0:0 免费01.Addtwocolumnvectors(includingdiagrams)togivearesultantvector

0:0 免费02.Addandsubtracttwocolumnvectorstogivearesultantvector(Part1)

0:0 免费03.Multiplyavectorbyascalar

0:0 免费04.Addandsubtracttwocolumnvectorstogivearesultantvector(Part2)

 23.HigherVectors1

0:0 免费01.Findthelengthofacolumnvector

0:0 免费02.Simplevectordiagrams

0:0 免费03.Vectordiagramsinvolvingmidpoints

0:0 免费04.Vectordiagramsinvolvingratios

 24.HigherVectors2andCongruentTriangles

0:0 免费01.Provethattwovectorsareparallel

0:0 免费02.Conditionsofcongruenttriangles

0:0 免费03.Provetrianglesarecongruent

 25.EnlargementandSimilarity

0:0 免费01.Enlargementwithanegativescalefactor

0:0 免费02.Describeanenlargementwithanegativescalefactor

0:0 免费03.Findareasofsimilarshapesgivencorrespondinglengths

0:0 免费04.Findvolumesofsimilarshapesgivencorrespondinglengths

 26.Algebraicfractions

0:0 免费01.Checkingandsecuringunderstandingofsolvingwithsimplealgebraicfractions

0:0 免费02.Simplifyingalgebraicfractions

0:0 免费03.Operationswithalgebraicfractions

0:0 免费04.Solvingequationswithalgebraicfractions

0:0 免费05.Checkingandsecuringunderstandingofchangingthesubjectwithsimplealgebraicfractions

0:0 免费06.Changingthesubjectwithmultiplealgebraicfractions

0:0 免费07.Changingthesubjectwherethevariableappearsinmultipleterms

0:0 免费08.Problemsolvingwithadvancedalgebraicfractions

 27.Nonright-angledtrigonometry

0:0 免费01.Checkingandsecuringunderstandingoftrigonometricratios

0:0 免费02.Drawingthesineandcosinegraphs

0:0 免费03.Drawingthetangentgraph

0:0 免费04.Interpretingthetrigonometricgraphs

0:0 免费05.Theareaofanytriangle

0:0 免费06.Calculatingtheareaofanytrianglewhentheheightisnotknown

0:0 免费07.Thesinerule

0:0 免费08.Thecosinerule

0:0 免费09.Usingthesineandcosinerules

0:0 免费10.Consideringtheappropriatetrigonometricrule

0:0 免费11.Problemsolvingwithnonright-angledtrigonometry

 28.2Dand3Dshapesurfaceareaandvolume(pyramids,spheresandcones)

0:0 免费01.Checkingandsecuringunderstandingofnetsofsolids

0:0 免费02.Checkingandsecuringunderstandingofvolumeofprisms

0:0 免费03.Checkingandsecuringunderstandingofsurfaceareaofcuboids

0:0 免费04.Checkingandsecuringunderstandingofsurfaceareaofotherprisms

0:0 免费05.Checkingandsecuringunderstandingofvolumeofacylinder

0:0 免费06.Checkingandsecuringunderstandingofsurfaceareaofacylinder

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.Formingequationsinvolvingcomplexshapecalculations

0:0 免费18.Advancedproblemsolvingwithfurthersurfaceareaandvolume

 29.Conditionalprobability

0:0 免费01.Checkingandsecuringdisplayingoutcomes

0:0 免费02.Checkingandsecuringexhaustiveevents

0:0 免费03.Probabilitiesinvolvingalgebra

0:0 免费04.Frequencytrees

0:0 免费05.Checkingandsecuringcalculatingprobabilitiesfromtables

0:0 免费06.Checkingandsecuringcalculatingprobabilitiesfromdiagrams

0:0 免费07.Experimentalprobability

0:0 免费08.Experimentalvstheoreticalprobability

0:0 免费09.Setnotation

0:0 免费10.Conditionalprobabilityinatwo-waytable

0:0 免费11.ConditionalprobabilityinaVenndiagram

0:0 免费12.Conditionalprobabilityinatreediagram

0:0 免费13.AlgebraintreeandVenndiagrams

0:0 免费14.ConstructingthreeeventVenndiagrams

0:0 免费15.ProbabilitiesinthreeeventVenndiagrams

0:0 免费16.Comparingmultiplerepresentationstocalculateconditionalprobabilities

0:0 免费17.Combinations

0:0 免费18.Advancedproblemsolvingwithconditionalprobability

 30.Compoundmeasures

0:0 免费01.Checkingandfurthersecuringunderstandingofdirectproportionincontext

0:0 免费02.Compoundmeasuresforspeed

0:0 免费03.Compoundmeasuresfordensity

0:0 免费04.Compoundmeasuresforpressure

0:0 免费05.Convertingbetweenmetricspeedmeasures

0:0 免费06.Convertingbetweenmetricandimperialspeedmeasures

0:0 免费07.Convertingbetweenothercompoundmeasures

0:0 免费08.Combiningspeeds

0:0 免费09.Combiningdensities

0:0 免费10.Advancedproblemsolvingwithcompoundmeasures

 31.Real-lifegraphs

0:0 免费01.Checkingandsecuringunderstandingofreadingfromcontext-basedgraphs

0:0 免费02.Checkingandsecuringunderstandingofdrawingdistance-timegraphs

0:0 免费03.Distance-timegraphs

0:0 免费04.Speed-timegraphs

0:0 免费05.Non-lineardistance-timegraphs

0:0 免费06.Interpretinganddrawingreal-lifegraphs

0:0 免费07.Interpretinganddrawingmorereal-lifegraphs

0:0 免费08.Calculatingtherateofchange

0:0 免费09.Estimatingthegradientofacurve

0:0 免费10.Improvingtheestimateofthegradientofacurve

0:0 免费11.Findingtheequationofaradiusofacircle

0:0 免费12.Findingtheequationofthetangenttoacircle

0:0 免费13.Calculatingjourneysfromlinearspeed-timegraphs

0:0 免费14.Estimatingjourneysfromnon-lineargraphs

0:0 免费15.Efficientlyestimatingjourneysfromnon-lineargraphs

0:0 免费16.Advancedproblemsolvingwithreal-lifegraphs

 32.Directandinverseproportion

0:0 免费01.Checkingandsecuringunderstandingofdirectproportiongraphs

0:0 免费02.Checkingandsecuringunderstandingofinverseproportiongraphs

0:0 免费03.Abstractdirectproportion

0:0 免费04.Findingtheconstantofproportionalityfordirectproportion

0:0 免费05.Findingtheconstantofproportionalityfordirectlyproportionalrelationships

0:0 免费06.Abstractinverseproportion

0:0 免费07.Findingtheconstantofproportionalityforinverseproportion

0:0 免费08.Proportionmodelledalgebraically

0:0 免费09.Problemsolvingwithdirectandinverseproportion

 33.Functionsandproof

0:0 免费01.Checkingandsecuringunderstandingoffunctions

0:0 免费02.Definingfunctionnotation

0:0 免费03.Findingtheinverseofafunction

0:0 免费04.Writingcompositefunctions

0:0 免费05.Solvingequationsinvolvingfunctions

0:0 免费06.Solvingequationsinvolvingcompositefunctions

0:0 免费07.Generalalgebraicformsforspecificnumberproperties

0:0 免费08.Makingconjecturesaboutpatternsandrelationships

0:0 免费09.Provingordisprovingastatement

0:0 免费10.Writingageneralisedstatementaboutspecificnumberproperties

0:0 免费11.Writingaproof

0:0 免费12.Logicalarguments

0:0 免费13.Multipleapproachestologicalarguments

0:0 免费14.Problemsolvingwithfunctionsandproof

 34.Furthersequences

0:0 免费01.Checkingandsecuringunderstandingofspecialnumbersequences

0:0 免费02.Fibonacciandalternatingsequences

0:0 免费03.Checkingandsecuringrulesforgeneratingarithmeticsequences

0:0 免费04.Identifyingvaluesinanarithmeticsequence

0:0 免费05.Reasoningaboutvaluesinanarithmeticsequence

0:0 免费06.Conditionsinarithmeticsequences

0:0 免费07.Arithmeticsequencesandtheirgraphs

0:0 免费08.Introducingquadraticsequences

0:0 免费09.Quadraticsequences

0:0 免费10.Checkingandsecuringunderstandingofgeometricsequences

0:0 免费11.Sequencenotation

0:0 免费12.Advancedproblemsolvingwithfurthersequences

 35.Iteration

0:0 免费01.Checkingandsecuringunderstandingofcompoundinterestcalculations

0:0 免费02.Buildingoncompositefunctions

0:0 免费03.Evaluatingiterativeformulas

0:0 免费04.Approximatingsolutionstoequations

0:0 免费05.Signsofasolution

0:0 免费06.Problemsolvingwithiteration

 36.Graphicalrepresentationsofdatacumulativefrequencyandhistograms

0:0 免费01.Constructingacumulativefrequencygraph

0:0 免费02.Interpretingacumulativefrequencygraph

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.Histogramswithunequalbarwidth

0:0 免费08.Movingbetweentablesandhistograms

0:0 免费09.Summarystatisticsfromhistograms

0:0 免费10.Constructinghistogramsandboxplotsusingtechnology

0:0 免费11.Problemsolvingwithcumulativefrequencyandhistograms

 37.Inequalities

0:0 免费01.Checkingandsecuringunderstandingofsimultaneousequations

0:0 免费02.Non-solutionstosimultaneouslinearequations

0:0 免费03.Inequalitiesonnumberlines

0:0 免费04.Solvingsimplelinearinequalities

0:0 免费05.Solvingmorecomplicatedlinearinequalities

0:0 免费06.Linearinequalitiesincontext

0:0 免费07.Asinglesolutionset

0:0 免费08.Solutionsetnotation

0:0 免费09.Solvingalinearinequalitygraphically

0:0 免费10.Solvingasetoflinearinequalitiesgraphically

0:0 免费11.Relatinggraphicalsolutionstoalgebraicsolutionsforinequalities

0:0 免费12.Solvingquadraticinequalitiesinonevariablegraphically

0:0 免费13.Solvingquadraticinequalitiesalgebraically

0:0 免费14.Advancedproblemsolvingwithlinearinequalities

 38.Vectors

0:0 免费01.Checkingandsecuringunderstandingoftranslations

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.Fluencyinarithmeticprocedureswithvectors

0:0 免费08.Algebraicvectornotation

0:0 免费09.Parallelvectorsinalgebraicvectornotation

0:0 免费10.Thesumanddifferencewithalgebraicvectornotation

0:0 免费11.Fluencyinarithmeticprocedureswithalgebraicvectornotation

0:0 免费12.Calculatingthemagnitudeofavector

0:0 免费13.Dividingvectorsintoratios

0:0 免费14.Geometricproofswithvectors

0:0 免费15.Advancedproblemsolvingwithvectors

 39.Lociandconstruction

0:0 免费01.Checkingandsecuringunderstandingofconstructingtheperpendicularbisectorofalinesegment

0:0 免费02.Checkingandsecuringunderstandingofconstructingaperpendiculartoagivenlinethroughapoint

0:0 免费03.Checkingandsecuringunderstandingofbisectinganangle

0:0 免费04.Constructinganglesof90°and45°

0:0 免费05.Constructingatrianglegiventhreesidelengthsusingcompasses

0:0 免费06.Constructingatrianglegiventwosidelengthsandtheanglebetweenthemusingacompass

0:0 免费07.Constructingatrianglegiventwoanglesandthesidelengthbetweenthem

0:0 免费08.Constructingaright-angledtrianglegiventhelengthofthehypotenuseandoneothersidelength

0:0 免费09.Constructingatrianglegiventwosidelengthsandananglenotbetweenthem

0:0 免费10.Constructingloci

0:0 免费11.Applyingconstructionstolociproblems

0:0 免费12.Solvinglociproblemsincontext

0:0 免费13.Advancedproblemsolvingwithlociandconstructions

 40.Transformationsofgraphs

0:0 免费01.Checkingandsecuringunderstandingoffunctionnotation

0:0 免费02.Checkingandsecuringunderstandingofmovingbetweenfunctionnotationandthedefinition

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.Transforminggraphscombinationsoftransformations

0:0 免费10.Problemsolvingwithgraphtransformations

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