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首页/UK高中/十年级/Maths/英国十年级【K10】Maths:第1版higher

英国十年级【K10】Maths:第1版higher

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英国十年级【K10】Maths:第1版higher

 01.SimplifyingSurds

0:0 免费01.Identifyrationalandirrationalnumbers

0:0 免费02.Simplifysimplesurds

0:0 免费03.Simplifyasurdoftheforma√b

0:0 免费04.Writea√binform√x

 02.Addingsurds

0:0 免费01.Addtwosurds

0:0 免费02.Subtracttwosurds

0:0 免费03.Addtwosurdswhereyouneedtosimplify

0:0 免费04.Subtracttwosurdswhereyouneedtosimplify

 03.MultiplyingSurds

0:0 免费01.MultiplyTwoSurdsandSimplify

0:0 免费02.MultiplyTwoSurdswithCoefficients

0:0 免费03.ExpandSingleBracketsContainingaSurd

0:0 免费04.ExpandDoubleBracketsContainingSurds

 04.DividingandRationalisingsurds

0:0 免费01.DividingSurds(Part1)

0:0 免费02.DividingSurds(Part2)

0:0 免费03.RationalisingSurds(Part1)

0:0 免费04.RationalisingSurds(Part2)

 05.Solvingequations2(Simplealgebraicfractions)

0:0 免费01.Solveequationsthatfirstinvolvesimplification2(x+3)+5x=15

0:0 免费02.Solvesimplealgebraicfractions(equaltoanumber)

0:0 免费03.Solvingalgebraicfractions(equaltox+a)

0:0 免费04.Solvingalgebraicfractions(onefractionequaltoanother)

 06.AlgebraicFractions

0:0 免费01.Addtwoalgebraicfractionswithintegerdenominators

0:0 免费02.Subtracttwoalgebraicfractionswithanintegerdenominator

0:0 免费03.Solvingequationsinvolvingaddingtwofractions

0:0 免费04.Solvingequationsinvolvingsubtractingtwofractions

 07.Factoriseandsolveaquadratic(a=1)

0:0 免费01.Factoriseaquadratic

0:0 免费02.Factoriseaquadratic(differenceoftwosquares)

0:0 免费03.Solveaquadraticequationbyfactorising

0:0 免费04.Simplifyinganalgebraicfractionbyfactorising

 08.Factoriseandsolvequadratics(a>1)

0:0 免费01.Factoriseaquadratic(Higher)

0:0 免费02.Factoriseaquadratic(differenceoftwosquares)-Higher

0:0 免费03.Solveaquadraticequationbyfactorising(Higher)

0:0 免费04.Simplifyinganalgebraicfractionbyfactorising(Higher)

 09.SubstitutionandRearrangingformulae

0:0 免费01.Substituteapositivetermintoaformula

0:0 免费02.Substituteanegativetermintoaformula

0:0 免费03.Changethesubjectofaformula

0:0 免费04.Changethesubjectofaformulawithsquaresandsquareroots

 10.FurtherAlgebra(ChangethesubjectBinomialexpansion)

0:0 免费01.Changethesubjectwheretheunknownappearstwice

0:0 免费02.Changethesubjectwheretheunknownappearstwiceinanalgebraicfraction

0:0 免费03.Expandlinearandquadraticexpressions

0:0 免费04.Expandproductofmorethantwobinomials

 11.Similarity

0:0 免费01.Identifysimilarshapesandshowshapesaresimilar

0:0 免费02.Findmissinglengthsinsimilarseparateshapes

0:0 免费03.Findmissinglengthsinsimilarshapeswhichhavesidesoverlapping

0:0 免费04.Identifycongruentshapes

 12.Trigonometry1

0:0 免费01.Knowtangent,sineandcosine

0:0 免费02.Usetangenttofindalength

0:0 免费03.Usesineandcosinetofindalength

0:0 免费04.ApplyingTrigonometry

 13.Trigonometry2

0:0 免费01.Usetrigonometrytofindtheperpendicularheightofatriangle

0:0 免费02.Solvebasictrigonometryequations

0:0 免费03.Useinversefunctionstofindanangle

0:0 免费04.Solveproblemsmixinganglesandsides

 14.Trigonometry3

0:0 免费01.Knowthetrigonometryratiosfor0°,30°,45°,60°and90°

0:0 免费02.Substitutetheexactvaluestofindamissinglength

0:0 免费03.Usetrigonometrytosolvebearingproblems

0:0 免费04.KnowwhentousePythagorasorTrigonometrytosolveproblems

 15.TypesofNumbersandRulesofIndices

0:0 免费01.Multiplypowers

0:0 免费02.Dividepowers

0:0 免费03.Powersofpowers

0:0 免费04.Manipulatingpowers

0:0 免费05.Squareandcubenumbers

0:0 免费06.Squarerootsandcuberoots

0:0 免费07.Higherpowers

0:0 免费08.Higherroots

 16.NegativeandFractionalIndices

0:0 免费01.Negativeintegerindicesandthepowerofzero

0:0 免费02.Fractionalindices

0:0 免费03.Fractionalindices(advanced)

0:0 免费04.Negativeandfractionalindices(mixedskills)

 17.Recurringdecimals

0:0 免费01.Writeafractionasarecurringdecimalusingdivision

0:0 免费02.Recurringdecimalswhereonenumberrepeats

0:0 免费03.Recurringdecimalswheretwoormorenumbersrepeat

0:0 免费04.Recurringdecimalswhereonenumberafterthedecimalpointisfixedandtheothersrepeat

 18.UpperandLowerBounds

0:0 免费01.UpperandlowerboundsErrorintervals

0:0 免费02.UpperandlowerboundsAddingandsubtracting

0:0 免费03.UpperandlowerboundsMultiplyinganddividing

0:0 免费04.UpperandlowerboundsApplicationofskills

 19.StraightLineGraphs(y=mx+C)

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

 20.StraightLineGraphs2(ParallelLines)

0:0 免费01.Writetheequationofastraightlineifparalleltoalineandpassingthrough(0,n)

0:0 免费02.Writetheequationofastraightlineifparalleltoalineandpassingthroughanypoint

0:0 免费03.Findtheequationofastraightlinethroughtwogivenpoints

0:0 免费04.Interpretgradientandinterceptonreallifegraphs

 21.HigherStraightlines(PerpendicularLines)

0:0 免费01.Workoutgradientoflineperpendiculartoagivenline

0:0 免费02.Workoutequationofthelineperpendicularthatpassesthroughagivenpoint

0:0 免费03.Workouttheequationoftheperpendicularbisectorofalinesegment

0:0 免费04.Provetwolinesareperpendicular

 22.SimultaneousEquations(Linear)

0:0 免费01.Solvelinearsimultaneousequationswhereoneofthecoefficientsisequal

0:0 免费02.Solvelinearsimultaneousequationswhereyouneedtomultiplyoneoftheequations

0:0 免费03.Solvelinearsimultaneousequationswhereyouneedtomultiplybothequations

0:0 免费04.Solvelinearsimultaneousequationswhereyouneedtofirstrearrange

 23.ScatterDiagrams&FrequencyTrees&Averages

0:0 免费01.Findthemean,median,modeandrangefromalistofnumbers

0:0 免费02.Stemandleafdiagrams

0:0 免费03.Meanfromafrequencytable

0:0 免费04.Meanfromagroupedfrequencytable

0:0 免费05.Plotascattergraphanddescribecorrelation

0:0 免费06.Identifyandexplainoutliersfromascatterdiagram

0:0 免费07.Usealineofbestfitonascattergraph

0:0 免费08.Drawandinterpretafrequencytree

 24.HigherData1(CFandBoxPlots)

0:0 免费01.Plotacumulativefrequencydiagram

0:0 免费02.FindquartilesandinterquartilerangefromCFdiagram

0:0 免费03.Findquartilesfromalistofdata

0:0 免费04.Plotaboxplotandcomparedistributions

 25.Probability2(Samplespace,Venndiagramsandexperimental)

0:0 免费01.Listoutcomesinasamplespacediagram(two-waytable)andcalculateprobabilities

0:0 免费02.Calculateexperimentalprobabilitiesandmakepredictions(relativefrequency)

0:0 免费03.FindprobabilitiesfromVenndiagramsincludingbasicsetnotation

0:0 免费04.Findprobabilitiesfromfrequencytrees

 26.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)

 27.FurtherQuadraticequations

0:0 免费01.Useformulaetosolvequadraticequations(bispositive)

0:0 免费02.Useformulaetosolvequadraticequations(anyvalue)

0:0 免费03.Completethesquare(a=1)

0:0 免费04.Solvequadraticequationsbycompletingthesquare

 28.QuadraticGraphs1(a=1)

0:0 免费01.Plotsimplequadraticequations

0:0 免费02.Plototherquadraticequations

0:0 免费03.SolvingQuadraticEquationsGraphically

0:0 免费04.Identifyandinterpretroots,interceptsandturningpointsofquadraticgraphs

 29.QuadraticGraphs2(a>1)

0:0 免费01.Drawquadraticgraphs(a>1)

0:0 免费02.Drawquadraticgraphs(negativexsquared)

0:0 免费03.Solvequadraticgraphs=0,=aand=ax+b

0:0 免费04.Solvingquadraticequations,givenadifferentquadratic,usingasketch

 30.Quadraticsequences

0:0 免费01.Findthenthtermofaquadraticsequence

0:0 免费02.Solvesimplequadraticinequalities

0:0 免费03.Solvequadraticinequalities(a=1)

0:0 免费04.Solvequadraticinequalities(a>1)

 31.Onelinearandonequadraticsimultaneousequations

0:0 免费01.Solvewherey=andy=(settingtheequationsequaltooneanother)

0:0 免费02.Solvewherex2+y2=randx+y=3(substituting)

0:0 免费03.Solvewherexy=aandy=2x+1(substituting)

0:0 免费04.Understandingsolutionstoequationswithrespecttotheirgraphs

 32.PartsofaCircle1&2

0:0 免费01.Knowthepartsofacircle

0:0 免费02.Findtheareaofasemicircleandquartercircle

0:0 免费03.Findtheareaofasector

0:0 免费04.Findtheradiusordiametergiventheareaofasector

0:0 免费05.Findthelengthofanarconasemicircleandquartercircleandtheperimeterofasemicircleandquartercircle

0:0 免费06.Findthelengthofanarcandtheperimeterofasector

0:0 免费07.Usethearclengthtofindtheradiusorangleofasector

0:0 免费08.Calculateareaofcompoundshapeswithcircles

 33.VolumeandSurfaceArea1(Prisms)

0:0 免费01.VolumeofCubesandCuboids

0:0 免费02.FindingtheVolumeofTriangularPrisms

0:0 免费03.FindingtheSurfaceAreaofCubesandCuboids

0:0 免费04.FindingtheSurfaceAreaofTriangularPrisms

 34.Volume2

0:0 免费01.Volumeandsurfaceareaofapyramid

0:0 免费02.Volumeandsurfaceareaofacone

0:0 免费03.Volumeandsurfaceareaofasphere

0:0 免费04.Volumeandsurfaceareaofcompositesolids

 35.SurfaceArea2

0:0 免费01.Volumeandsurfaceareaofapyramid

0:0 免费02.Volumeandsurfaceareaofacone

0:0 免费03.Volumeandsurfaceareaofasphere

0:0 免费04.Volumeandsurfaceareaofcompositesolids

 36.VolumeandSurfaceArea2

0:0 免费01.Volumeandsurfaceareaofapyramid

0:0 免费02.Volumeandsurfaceareaofacone

0:0 免费03.Volumeandsurfaceareaofasphere

0:0 免费04.Volumeandsurfaceareaofcompositesolids

 37.AdvancedTrigonometry1

0:0 免费01.Usethesineruletofindamissinglength

0:0 免费02.Usethesineruletofindamissingangle

0:0 免费03.Usethecosineruletofindamissinglength

0:0 免费04.Usethecosineruletofindamissingangle

 38.AdvancedTrigonometry2

0:0 免费01.AreaofaTriangleUsingA=absinC

0:0 免费02.UseA=absinCtoFindaMissingLength

0:0 免费03.WhentoUsetheSineorCosineRules

0:0 免费04.Sine,CosineandAreaRules-MixedProblems

 39.AdvancedTrigonometry3

0:0 免费01.Trigonometryin3Dshapes

0:0 免费02.Solvetrigequationsinvolvingsinxbetween0and360

0:0 免费03.Solvetrigequationsinvolvingcosxbetween0and360

 40.Algebraicmanipulation

0:0 免费01.Furtheralgebraicterminology

0:0 免费02.Checkingandsecuringunderstandingoffactorising

0:0 免费03.Checkingandsecuringunderstandingofforminglinearequations

0:0 免费04.Checkingandsecuringunderstandingofsolvingandinterpretinglinearequations

0:0 免费05.Checkingandsecuringunderstandingofchangingthesubject

0:0 免费06.Checkingandsecuringunderstandingoftheproductoftwobinomials

0:0 免费07.Theproductofthreebinomials

0:0 免费08.Factorisingaquadraticexpression

0:0 免费09.Factorisingusingthedifferenceoftwosquares

0:0 免费10.Factorisingquadraticsoftheformax^2+bx+c

0:0 免费11.Solvingquadraticequationsbyfactorising

0:0 免费12.Solvingquadraticequationsbyfactorisingwhererearrangementisrequired

0:0 免费13.Solvingquadraticequationsbycompletingthesquare

0:0 免费14.Solvingquadraticequationsbyusingtheformula

0:0 免费15.Advancedproblemsolvingwithalgebraicmanipulation

 41.Simultaneousequations2variables

0:0 免费01.Checkingandsecuringunderstandingofinterpretinggraphs

0:0 免费02.Formingsimultaneousequations

0:0 免费03.Combiningequations

0:0 免费04.Solvingsimultaneousequationsbyeliminationfromacontext

0:0 免费05.Solvingalgebraicsimultaneousequationsbyelimination

0:0 免费06.Solvingmorecomplexsimultaneousequationsbyelimination

0:0 免费07.Solvingsimultaneouslinearequationsbysubstitution

0:0 免费08.Solvingsimultaneouslinearequationsgraphically

0:0 免费09.Solvingaquadraticandlinearpairofsimultaneousequationsusingelimination

0:0 免费10.Solvingaquadraticandlinearpairofsimultaneousequationsusingsubstitution

0:0 免费11.Solvingaquadraticandlinearpairofsimultaneousequationsgraphically

0:0 免费12.Solvingsimultaneousequationsviaanymethod

0:0 免费13.Problemsolvingwithlinearandquadraticsimultaneousequations

 42.Percentages

0:0 免费01.Checkingandsecuringunderstandingofpercentageincrease

0:0 免费02.Checkingandsecuringunderstandingofpercentagedecrease

0:0 免费03.Percentageprofitandloss

0:0 免费04.Simpleandcompoundinterest

0:0 免费05.Simpleinterestcalculations

0:0 免费06.Simpleinterestcalculationswithtechnology

0:0 免费07.Compoundinterestcalculations

0:0 免费08.Compoundinterestcalculationswithtechnology

0:0 免费09.Calculatingcompoundinterestrates

0:0 免费10.Changingcompoundinterestrates

0:0 免费11.Advancedproblemsolvingwithpercentages

 43.Arithmeticproceduresindexlaws

0:0 免费01.Convertinganyrecurringdecimaltoafraction

0:0 免费02.Checkingandsecuringunderstandingofprimefactorisation

0:0 免费03.CheckingandsecuringunderstandingofLCMandHCF

0:0 免费04.Checkingandsecuringunderstandingofrootsandintegerindices

0:0 免费05.Thelawsofindices-multiplication

0:0 免费06.Thelawsofindices-division

0:0 免费07.Thelawsofindices-raisingapowertoapower

0:0 免费08.Thelawsofindices-negativeandzeroexponents

0:0 免费09.Thelawsofindices-fractionalexponents

0:0 免费10.Advancedproblemsolvingwiththelawsofindices

 44.Standardformcalculations

0:0 免费01.Checkingandsecuringunderstandingofwritinglargenumbersinstandardform

0:0 免费02.Checkingandsecuringunderstandingofwritingsmallnumbersinstandardform

0:0 免费03.Addingnumbersinstandardform

0:0 免费04.Subtractingnumbersinstandardform

0:0 免费05.Multiplyingnumbersinstandardform

0:0 免费06.Dividingnumbersinstandardform

0:0 免费07.Problemsolvingwithstandardformcalculations

 45.Surds

0:0 免费01.Accuracyoffinalanswers

0:0 免费02.Identifyingsquarefactorstosupportsimplifyingsurds

0:0 免费03.Simplifyingsurds

0:0 免费04.Additionwithsurds

0:0 免费05.Multiplicationofsurds

0:0 免费06.Applyingtheunderlyingstructureofmultiplicationanddivisionofsurds

0:0 免费07.Thedistributivelawwithsurds

0:0 免费08.Thedistributivelawwithtwoormorebinomials

0:0 免费09.Rationalisingasingletermdenominator

0:0 免费10.Rationalisingatwotermdenominator

0:0 免费11.Solvingequationswithsurds

0:0 免费12.Problemsolvingwithsurds

 46.Sampling

0:0 免费01.Checkingunderstandingofstatisticalproblems

0:0 免费02.TheStatisticalEnquiryCycle

0:0 免费03.Typesofdata

0:0 免费04.Samplingmethods

0:0 免费05.Stratifiedsampling

0:0 免费06.Capturerecapturesamplingmethod

0:0 免费07.Samplinglimitations

0:0 免费08.Datacollection

0:0 免费09.Biasedquestioning

0:0 免费10.Advancedproblemsolvingwithsampling

 47.Graphicalrepresentationsofdatascattergraphsandtimeseries

0:0 免费01.Checkingunderstandingofscattergraphs

0:0 免费02.Checkingunderstandingofcorrelation

0:0 免费03.Estimatingfromscattergraphs

0:0 免费04.Interpolationversusextrapolation

0:0 免费05.Outliersinscattergraphs

0:0 免费06.Constructingtimeseriesgraphs

0:0 免费07.Interpretingtimeseriesgraphs

0:0 免费08.Problemsolvingwithscattergraphsandtimeseries

 48.Comparisonsofnumericalsummariesofdata

0:0 免费01.Checkingunderstandingofsummarystatisticsfromalist

0:0 免费02.Checkingunderstandingofsummarystatisticsfromafrequencytable

0:0 免费03.Calculatingsummarystatisticsfromagroupedfrequencytable

0:0 免费04.Calculatingthemeanfromagroupedfrequencytable

0:0 免费05.Weightedmeans

0:0 免费06.Constructingstemandleafdiagrams

0:0 免费07.Calculatingsummarystatisticsfromstemandleafdiagrams

0:0 免费08.Checkingunderstandingofmeasuresofcentraltendency

0:0 免费09.Comparingdatasetsincontext

0:0 免费10.Statisticalsummariesusingtechnology

0:0 免费11.Comparingvariousrepresentationsofdatasets

0:0 免费12.Problemsolvingwithcomparisonsofnumericaldata

 49.Rounding,estimationandbounds

0:0 免费01.Upperandlowerbounds

0:0 免费02.Upperandlowerboundsinadditivecalculations

0:0 免费03.Upperandlowerboundsinmultiplicativecalculations

0:0 免费04.Usingupperandlowerboundspractically

0:0 免费05.Advancedproblemsolvingwithrounding,estimationandbounds

 50.Ratio

0:0 免费01.Checkingandsecuringunderstandingofsimplifyingandunitisingratios

0:0 免费02.Checkingandsecuringunderstandingofequivalentratios

0:0 免费03.Checkingandsecuringunderstandingofsharinginaratio

0:0 免费04.Checkingandsecuringunderstandingofconvertingbetweenratios,percentagesandfractions

0:0 免费05.Checkingandsecuringunderstandingofrealworldratios

0:0 免费06.Combiningratios

0:0 免费07.Changingratios

0:0 免费08.Writingequationsfromratios

0:0 免费09.Algebraicratios

0:0 免费10.Problemsolvingwithalgebraicratios

 51.Lineargraphs

0:0 免费01.Checkingandsecuringunderstandingofdrawingverticalandhorizontalgraphs

0:0 免费02.Checkingandsecuringunderstandingoffindingtheequationofthelinefromthegraph

0:0 免费03.Checkingandsecuringunderstandingoffindingtheequationofthelinefromcoordinates

0:0 免费04.Parallellineargraphs

0:0 免费05.Perpendicularlineargraphs

0:0 免费06.Identifyingperpendicularlineargraphs

0:0 免费07.Parallelandperpendicularlinesoncoordinateaxes

0:0 免费08.Ratiosinlinesegmentsoncoordinateaxes

0:0 免费09.Checkingandunderstandinggraphsshowingdirectproportion

0:0 免费10.Graphsshowinginverseproportion

0:0 免费11.Advancedproblemsolvingwithlineargraphs

 52.Non-lineargraphs

0:0 免费01.Checkingandsecuringunderstandingofdrawingquadraticgraphs

0:0 免费02.Keyfeaturesofaquadraticgraph

0:0 免费03.Drawingcubicgraphs

0:0 免费04.Keyfeaturesofacubicgraph

0:0 免费05.Drawingreciprocalgraphs

0:0 免费06.Keyfeaturesofareciprocalgraph

0:0 免费07.Drawingexponentialgraphs

0:0 免费08.Keyfeaturesofanexponentialgraph

0:0 免费09.Drawingthegraphfortheequationofacircle

0:0 免费10.Advancedproblemsolvingwithnon-lineargraphs

 53.2Dand3Dshapecompoundshapes

0:0 免费01.Checkingandsecuringunderstandingofconvertingbetweenmetricandimperialmeasures

0:0 免费02.Checkingandsecuringunderstandingofscalesandconversion

0:0 免费03.Checkingandsecuringunderstandingofperimeterforcompoundshapes

0:0 免费04.Checkingandsecuringunderstandingofareaforcompoundshapes

0:0 免费05.Perimeterandareainacontextualsetting

0:0 免费06.Calculatingarclength

0:0 免费07.Areaofasector

0:0 免费08.Areaofcompoundshapes

0:0 免费09.Shapeswithinshapes

0:0 免费10.Equationsfromcomplexshapes

0:0 免费11.Shapesoncoordinategrids

0:0 免费12.Problemsolvingwithcomplex2Dshapes

 54.Angles

0:0 免费01.Checkingandsecuringunderstandingofadvancedanglefacts

0:0 免费02.Checkingandsecuringunderstandingonchainsofreasoningwithanglefacts

0:0 免费03.Checkingandsecuringunderstandingofpolygons

0:0 免费04.Checkingandsecuringunderstandingofinteriorangles

0:0 免费05.Formingequationswithangles

0:0 免费06.Problemsolvingwithangles

 55.Furthertransformations

0:0 免费01.Checkingandsecuringunderstandingofcongruenceandsimilarity

0:0 免费02.Checkingandsecuringunderstandingofrotation

0:0 免费03.Checkingandsecuringunderstandingoftranslation

0:0 免费04.Checkingandsecuringunderstandingofreflection

0:0 免费05.Checkingandsecuringunderstandingofenlargementwithpositiveintegerscalefactors

0:0 免费06.Checkingandsecuringunderstandingofenlargementwithpositivefractionalscalefactors

0:0 免费07.Enlargementusinganegativescalefactor

0:0 免费08.Describinganegativeenlargement

0:0 免费09.Multipletransformations

0:0 免费10.Identifyingmultipletransformations

0:0 免费11.Advancedproblemsolvingwithfurthertransformations

 56.Similarity

0:0 免费01.Checkingandsecuringunderstandingofdirectproportionincontext

0:0 免费02.Theeffectofenlargementontheperimeterofashape

0:0 免费03.Theeffectofenlargementontheareaofashape

0:0 免费04.Usingthescalefactorforenlarginganarea

0:0 免费05.Theeffectofenlargementonthevolumeofa3Dshape

0:0 免费06.Usingthescalefactorforenlargingavolume

0:0 免费07.Checkingandsecuringunderstandingofcongruenttriangles(SSS)

0:0 免费08.Checkingandsecuringunderstandingofcongruenttriangles(SAS)

0:0 免费09.Checkingandsecuringunderstandingofcongruenttriangles(ASA)

0:0 免费10.Checkingandsecuringunderstandingofcongruenttriangles(RHS)

0:0 免费11.Problemsolvingwithadvancedsimilarityknowledge

 57.Circletheorems

0:0 免费01.Checkingandsecuringunderstandingofthepartsofacircle

0:0 免费02.Theangleatthecentreofthecircleistwicetheangleatanypointonthecircumference

0:0 免费03.Theangleinasemicircleisarightangle

0:0 免费04.Theperpendicularfromthecentreofacircletoachordbisectsthechord

0:0 免费05.Thetangentatanypointonacircleisperpendiculartotheradiusatthatpoint

0:0 免费06.Theanglesinthesamesegmentareequal

0:0 免费07.Thealternatesegmenttheorem

0:0 免费08.Theoppositeanglesofacyclicquadrilateralsumto180°

0:0 免费09.Thetangentsfromanexternalpointareequalinlength

0:0 免费10.Identifyingwhichcircletheoremtouse

0:0 免费11.Problemsolvingwithcircletheorems

 58.Plansandelevations

0:0 免费01.Checkingandsecuringunderstandingofaccuratedrawings

0:0 免费02.Representing3Dshapesin2D

0:0 免费03.Drawingtheplanandelevationsofasolid

0:0 免费04.Drawingthesolidfromtheplanandelevations

0:0 免费05.Problemsolvingwithplansandelevations

 59.Right-angledtrigonometry

0:0 免费01.CheckingandfurthersecuringunderstandingofPythagorastheorem

0:0 免费02.UsingPythagorastheoremtojustifyaright-angledtriangle

0:0 免费03.Calculatingthelengthofalinesegment

0:0 免费04.Checkingandsecuringunderstandingoftheunitcircle

0:0 免费05.Checkingandsecuringunderstandingofsineratioproblems

0:0 免费06.Checkingandsecuringunderstandingofcosineproblems

0:0 免费07.Checkingandsecuringunderstandingoftangentratioproblems

0:0 免费08.Calculatetrigonometricratiosfor30°and60°

0:0 免费09.Calculatetrigonometricratiosfor0°,45°and90°

0:0 免费10.Applyingtrigonometricratiosincontext

0:0 免费11.ApplyingPythagorastheoremin3D

0:0 免费12.Applyingtrigonometricratiosin3D

0:0 免费13.Advancedproblemsolvingwithright-angledtrigonometry

 60.Bearings

0:0 免费01.Checkingandsecuringunderstandingofscaleddrawings

0:0 免费02.Checkingandsecuringunderstandingofdrawingaccuratescaleddiagrams

0:0 免费03.Followingabearing

0:0 免费04.Findingabearing

0:0 免费05.Reversebearings

0:0 免费06.Problemsolvingwithbearings

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