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英国十年级【K10】Maths:第2版foundation
英国十年级【K10】Maths:第2版foundation
英国十年级【K10】Maths:第2版foundation
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英国十年级【K10】Maths:第2版foundation
01.Algebraicmanipulation
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01.Checkingandsecuringunderstandingofsimplifying
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02.Checkingandsecuringunderstandingofsubstitution
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03.Furtheralgebraicterminology
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04.Checkingandsecuringunderstandingofexpandingasinglebracket
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05.Checkingandsecuringunderstandingoffactorising
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06.Checkingandsecuringunderstandingofforminglinearequations
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07.Checkingandsecuringunderstandingofsolvingandinterpretinglinearequations
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08.Checkingandsecuringunderstandingofchangingthesubject
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09.Checkingandsecuringunderstandingoftheproductoftwobinomials
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10.Factorisingaquadraticexpression
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11.Factorisingusingthedifferenceoftwosquares
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12.Solvingquadraticequationsbyfactorising
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13.Problemsolvingwithalgebraicmanipulation
02.Simultaneousequations2variables
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01.Checkingandsecuringunderstandingofinterpretinggraphs
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02.Formingsimultaneousequations
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03.Combiningequations
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04.Solvingsimultaneousequationsbyeliminationfromacontext
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05.Solvingalgebraicsimultaneousequationsbyelimination
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06.Solvingmorecomplexsimultaneousequationsbyelimination
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07.Solvingsimultaneouslinearequationsbysubstitution
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08.Solvingsimultaneouslinearequationsgraphically
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09.Solvingsimultaneousequationsviaanymethod
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10.Problemsolvingwithsimultaneousequations
03.Percentages
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01.Checkingandsecuringunderstandingoffindingapercentage
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02.Checkingandsecuringunderstandingofpercentageincrease
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03.Checkingandsecuringunderstandingofpercentagedecrease
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04.Percentageprofitandloss
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05.Simpleandcompoundinterest
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06.Simpleinterestcalculations
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07.Simpleinterestcalculationswithtechnology
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08.Compoundinterestcalculations
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09.Compoundinterestcalculationswithtechnology
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10.Problemsolvingwithpercentages
04.Arithmeticproceduresindexlaws
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01.Checkingandsecuringunderstandingofconvertingbetweenfractionsanddecimals
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02.Checkingandsecuringunderstandingofcalculatingwithfractionsanddecimals
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03.Checkingandsecuringunderstandingofprimefactorisation
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04.CheckingandsecuringunderstandingofLCMandHCF
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05.Checkingandsecuringunderstandingofrootsandintegerindices
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06.Checkingandsecuringunderstandingofcalculationsinvolvingnegativenumbers
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07.Thelawsofindices-multiplication
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08.Thelawsofindices-division
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09.Thelawsofindices-raisingapowertoapower
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10.Thelawsofindices-negativeandzeroexponents
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11.Problemsolvingwiththelawsofindices
05.Standardformcalculations
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01.Checkingandsecuringunderstandingofwritinglargenumbersinstandardform
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02.Checkingandsecuringunderstandingofwritingsmallnumbersinstandardform
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03.Addingnumbersinstandardform
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04.Subtractingnumbersinstandardform
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05.Multiplyingnumbersinstandardform
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06.Dividingnumbersinstandardform
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07.Problemsolvingwithstandardformcalculations
06.Surds
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01.Accuracyoffinalanswers
07.Sampling
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01.Checkingunderstandingofstatisticalproblems
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02.TheStatisticalEnquiryCycle
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03.Typesofdata
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04.Samplingmethods
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05.Samplinglimitations
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06.Datacollection
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07.Biasedquestioning
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08.Problemsolvingwithsampling
08.Graphicalrepresentationsofdatascattergraphsandtimeseries
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01.Checkingunderstandingofscattergraphs
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02.Checkingunderstandingofcorrelation
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03.Estimatingfromscattergraphs
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04.Interpolationversusextrapolation
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05.Outliersinscattergraphs
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06.Constructingtimeseriesgraphs
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07.Interpretingtimeseriesgraphs
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08.Problemsolvingwithscattergraphsandtimeseries
09.Comparisonsofnumericalsummariesofdata
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01.Checkingunderstandingofsummarystatisticsfromalist
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02.Checkingunderstandingofsummarystatisticsfromafrequencytable
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03.Calculatingsummarystatisticsfromagroupedfrequencytable
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04.Calculatingthemeanfromagroupedfrequencytable
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05.Constructingstemandleafdiagrams
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06.Calculatingsummarystatisticsfromstemandleafdiagrams
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07.Checkingunderstandingofmeasuresofcentraltendency
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08.Comparingdatasetsincontext
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09.Checkingunderstandingofbarchartsandpictograms
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10.Checkingunderstandingcompositeandbar-linecharts
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11.Statisticalsummariesusingtechnology
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12.Checkingunderstandingofpiecharts
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13.Comparingvariousrepresentationsofdatasets
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14.Problemsolvingwithcomparisonsofnumericaldata
10.Rounding,estimationandbounds
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01.Checkingandsecuringunderstandingofroundingandtruncating
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02.Checkingandsecuringunderstandingofestimatingthroughrounding
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03.Problemsolvingwithrounding,estimationandbounds
11.Ratio
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01.Checkingandsecuringunderstandingofsimplifyingandunitisingratios
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02.Checkingandsecuringunderstandingofequivalentratios
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03.Checkingandsecuringunderstandingofsharinginaratio
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04.Checkingandsecuringunderstandingofconvertingbetweenratios,percentagesandfractions
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05.Checkingandsecuringunderstandingofrealworldratios
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06.Combiningratios
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07.Changingratios
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08.Problemsolvingwithratios
12.Lineargraphs
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01.Checkingandsecuringunderstandingofdrawinglineargraphs
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02.Checkingandsecuringunderstandingofdrawingverticalandhorizontalgraphs
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03.Checkingandsecuringunderstandingoffindingtheequationofthelinefromthegraph
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04.Checkingandsecuringunderstandingoffindingtheequationofthelinefromcoordinates
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05.Parallellineargraphs
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06.Checkingandunderstandinggraphsshowingdirectproportion
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07.Graphsshowinginverseproportion
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08.Problemsolvingwithlineargraphs
13.Non-lineargraphs
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01.Checkingandsecuringunderstandingofdrawingquadraticgraphs
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02.Keyfeaturesofaquadraticgraph
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03.Drawingcubicgraphs
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04.Drawingreciprocalgraphs
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05.Problemsolvingwithnon-lineargraphs
14.2Dand3Dshapecompoundshapes
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01.Checkingandsecuringunderstandingofconvertingbetweenmetricandimperialmeasures
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02.Checkingandsecuringunderstandingofscalesandconversion
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03.Checkingandsecuringunderstandingofperimeterforstandardshapes
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04.Checkingandsecuringunderstandingofperimeterforcompoundshapes
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05.Checkingandsecuringunderstandingofareaforstandardshapes
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06.Checkingandsecuringunderstandingofareaforcompoundshapes
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07.Perimeterandareainacontextualsetting
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08.Checkingandsecuringunderstandingofcircles
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09.Calculatingarclength
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10.Areaofasector
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11.Areaofcompoundshapes
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12.Problemsolvingwith2Dshapes
15.Angles
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01.Checkingandsecuringunderstandingofanglenotationanddrawingmeasuringangles
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02.Checkingandsecuringunderstandingofbasicanglefacts
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03.Checkingandsecuringunderstandingofadvancedanglefacts
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04.Checkingandsecuringunderstandingonchainsofreasoningwithanglefacts
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05.Checkingandsecuringunderstandingofpropertiesofshapes
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06.Checkingandsecuringunderstandingofpolygons
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07.Checkingandsecuringunderstandingofinteriorangles
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08.Checkingandsecuringunderstandingofexteriorangles
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09.Formingequationswithangles
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10.Problemsolvingwithangles
16.Furthertransformations
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01.Checkingandsecuringunderstandingofcongruenceandsimilarity
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02.Checkingandsecuringunderstandingofrotation
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03.Checkingandsecuringunderstandingoftranslation
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04.Checkingandsecuringunderstandingofreflection
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05.Checkingandsecuringunderstandingofenlargementwithpositiveintegerscalefactors
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06.Checkingandsecuringunderstandingofenlargementwithpositivefractionalscalefactors
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07.Multipletransformations
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08.Identifyingmultipletransformations
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09.Problemsolvingwithfurthertransformations
17.Similarity
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01.Checkingandsecuringunderstandingofdirectproportionincontext
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02.Theeffectofenlargementontheperimeterofashape
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03.Checkingandsecuringunderstandingofcongruenttriangles(SSS)
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04.Checkingandsecuringunderstandingofcongruenttriangles(SAS)
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05.Checkingandsecuringunderstandingofcongruenttriangles(ASA)
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06.Checkingandsecuringunderstandingofcongruenttriangles(RHS)
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07.Problemsolvingwithsimilarity
18.Plansandelevations
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01.Checkingandsecuringunderstandingofaccuratedrawings
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02.Representing3Dshapesin2D
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03.Drawingtheplanandelevationsofasolid
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04.Drawingthesolidfromtheplanandelevations
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05.Problemsolvingwithplansandelevations
19.Right-angledtrigonometry
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01.CheckingandfurthersecuringunderstandingofPythagorastheorem
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02.UsingPythagorastheoremtojustifyaright-angledtriangle
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03.Calculatingthelengthofalinesegment
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04.Checkingandsecuringunderstandingoftheunitcircle
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05.Checkingandsecuringunderstandingofsineratioproblems
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06.Checkingandsecuringunderstandingofcosineproblems
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07.Checkingandsecuringunderstandingoftangentratioproblems
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08.Calculatetrigonometricratiosfor30°and60°
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09.Calculatetrigonometricratiosfor0°,45°and90°
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10.Applyingtrigonometricratiosincontext
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11.Problemsolvingwithright-angledtrigonometry
20.Bearings
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01.Checkingandsecuringunderstandingofscaleddrawings
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02.Checkingandsecuringunderstandingofdrawingaccuratescaleddiagrams
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03.Followingabearing
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04.Findingabearing
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05.Reversebearings
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06.Problemsolvingwithbearings
21.DirectedNumbers
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01.Addingdirectednumbers
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02.Subtractdirectednumbers
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03.Multiplyanddividedirectednumbers
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04.OrderofOperations
22.4RulesofNumber
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01.Addingandsubtractingtwointegers
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02.Multiplyingtwointegers
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03.Dividingtwointegers
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04.Fouroperations
23.Typesofnumbers
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01.Squareandcubenumbers
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02.Squarerootsandcuberoots
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03.Higherpowers
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04.Higherroots
24.Rulesofindices(numbers)
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01.Multiplypowers
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02.Dividepowers
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03.Powersofpowers
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04.Manipulatingpowers
25.Collectingliketerms,simplifying
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01.SimplifyExpressionsbyCollectingLikeTerms
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02.SimplifyExpressionsbyMultiplyingTerms
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03.ExpandaTermoveraSingleBracket
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04.ExpandaTermoveraSingleBracketincludingPowers
26.Expandandsimplifybrackets
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01.Expand2bracketsandsimplifyexpressions(Part1)
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02.Expand2bracketsandsimplifyexpressions(Part2)
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03.Expandandsimplifydoublebrackets
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04.ExpandandSimplifyDoubleBrackets(CoefficientofxGreaterthan1)
27.RulesofIndices
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01.MultiplicationLawforindices
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02.DivisionLawforindices
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03.PowerLawforIndices
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04.CombiningIndexLaws
28.Solvingequations1(Onestep,TwoStepandBrackets)
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01.Solvingone-stepequations
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02.Solvingtwo-stepequations
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03.Solvingequationswithbrackets
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04.Solvingequationswithunknownonbothsides
29.Solvingequations2(Simplealgebraicfractions)
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01.Solveequationsthatfirstinvolvesimplification2(x+3)+5x=15
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02.Solvesimplealgebraicfractions(equaltoanumber)
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03.Solvingalgebraicfractions(equaltox+a)
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04.Solvingalgebraicfractions(onefractionequaltoanother)
30.SubstitutionandRearrangingformulae
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01.Substituteapositivetermintoaformula
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02.Substituteanegativetermintoaformula
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03.Changethesubjectofaformula
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04.Changethesubjectofaformulawithsquaresandsquareroots
31.Reflection
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01.Reflectinginagivenhorizontalorverticalline(Part1)
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02.Reflectinginagivenhorizontalorverticalline(Part2)
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03.Reflectinginagivendiagonalline(Part1)
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04.Reflectinginagivendiagonalline(Part2)
32.RotationandEnlargement
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01.RotateanObjectaroundaGivenPoint
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02.RotateanObjectaroundaGivenCoordinate
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03.EnlargeanObjectwithaPositiveScaleFactor
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04.EnlargeanObjectwithaPositiveScaleFactorfromaGivenCoordinate
33.PythagorasTheorem1
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01.KnowandUnderstandPythagorastheorem
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02.Findthelengthofthehypotenuse
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03.Findthelengthoftheshorterside
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04.MixtureofFindingaMissingLength
34.PythagorasTheorem2
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01.UsePythagorastheoremtoshowthatatriangleisright-angled
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02.UsePythagorasTheoremtofindthelengthofalinesegment
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03.UsePythagorasTheoremwithIsoscelesTriangles
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04.ApplyPythagorasTheoremtotwotriangles
35.FactorsMultipleandPrimes
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01.MultiplesandFactorPairs
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02.IdentifyPrimeNumbers
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03.PrimeFactorDecomposition
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04.UsingPrimeFactorDecomposition
36.VennDiagrams
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01.UnderstandVenndiagrams,sortdataandlabel
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02.Findandunderstandtheintersectionof2sets
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03.Findandunderstandtheunionof2sets
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04.Complementofaset
37.HCFandLCM
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01.SimpleLCMandHCF
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02.FindingtheLCM
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03.FindingtheHCF
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04.ApplyingLCMandHCF
38.RoundingandEstimating
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01.Roundtotwodecimalplaces
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02.Rounduptothreesignificantfigures
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03.Limitsofaccuracy
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04.Estimatinganswers
39.Factorising(singlebracket)
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01.FactorisingSingleBrackets
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02.FactorisingSingleBracketsFactoroutaletter
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03.FactoriseSingleBracketsFactoranumberandaletter
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04.Factorisingsinglebrackets(morecomplicatedexpressions)
40.Factoriseandsolveaquadratic(a=1)
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01.Factoriseaquadratic
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02.Factoriseaquadratic(differenceoftwosquares)
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03.Solveaquadraticequationbyfactorising
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04.Simplifyinganalgebraicfractionbyfactorising
41.SolveInequalitiesandRepresentonNumberLine
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01.RepresentingInequalitiesonaNumberLine
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02.SolveOneandTwoStepInequalities
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03.SolveInequalitieswithUnknownsonBothSides
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04.SolvingInequalitiesInvolvingAlgebraicFractions
42.LinearSequences
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01.Writethenthtermofalinearsequence
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02.Findtermsofalinearsequence
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03.TriangularandFibonaccistylesequences
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04.Simplequadraticandcubicsequences
43.Fractionequivalents
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01.EquivalentFractions
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02.SimplifyingFractions
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03.Comparingtwofractions
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04.Orderingthreeormorefractions
44.Fractions1(addingandsubtracting)
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01.Addingandsubtractingfractions<1
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02.Addingmixednumbers
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03.Subtractingmixednumbers
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04.Mixedfractionadditionandsubtractionproblems
45.Fractions2(multiplyinganddividing)
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01.Multiplyingafractionbyaninteger
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02.Multiplyingafractionbyafraction
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03.Dividingafractionbyaninteger
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04.Dividingafractionbyafraction
46.FractionChange
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01.Fractionofanamount
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02.Increasinganddecreasingbyafractionofanamount
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03.Findthewholewhengivenafractionofanamount
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04.Applicationoffractionofanamountskills
47.SimpleGraphs
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01.Drawandrecognisegraphsoftheformy=kx
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02.Drawgraphsoftheformy=mx+cbyusingatableofvalues
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03.Drawgraphsoftheformax+by=cbyusingatableofvalues
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04.Usegraphstosolvesimpleequationsincludingsimultaneousequations
48.StraightLineGraphs(y=mx+C)
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01.Findthegradientofaline
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02.Findtheequationofastraightlineusingy=mx+c
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03.Findtheinterceptandgradientfromalinegiveninanyform
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04.Usinggradienttosolveproblemswithparallellines
49.QuadraticGraphs1(a=1)
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01.Plotsimplequadraticequations
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02.Plototherquadraticequations
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03.SolvingQuadraticEquationsGraphically
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04.Identifyandinterpretroots,interceptsandturningpointsofquadraticgraphs
50.Percentages
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01.Simplepercentageswithoutacalculator
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02.Decimalmultipliermethodtofindpercentagesofanamount
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03.Fractionsgreaterthan1andpercentagesabove100%
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04.Expressonenumberasafractionorpercentageofanotherwithoutacalculator
51.Percentageincreaseanddecrease
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01.IncreaseandDecreaseanAmountbyaPercentage
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02.CalculatePercentageChange
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03.ReversePercentages
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04.SimpleInterest
52.RepeatedPercentageChange
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01.Repeatedpercentageincrease
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02.Repeatedpercentagedecrease
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03.Repeatedpercentageincreaseanddecrease
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04.Solveproblemswithrepeatedpercentagechange
53.FDPEquivalents
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01.Simplefraction,decimalandpercentageequivalents
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免费
02.Convertfractionstodecimalsandpercentageswithoutacalculator
0:0
免费
03.Convertfractionstodecimalsandpercentageswithacalculator
0:0
免费
04.Changepercentagestofractionsanddecimals
54.Decimals
0:0
免费
01.Addandsubtractdecimals
0:0
免费
02.Multiplicationoftwodecimals
0:0
免费
03.Divisionofadecimalnumberbyaninteger
0:0
免费
04.Decimaldividedbydecimal
55.Ratio1
0:0
免费
01.Simplifyingratios
0:0
免费
02.Divideaquantityinagivenratio
0:0
免费
03.Findapartgivenapart
0:0
免费
04.Findthetotalordifferencegivenapart
56.AreaandPerimeter
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免费
01.Areaofrectangles,parallelogramsandtriangles
0:0
免费
02.Areaofatrapezium
0:0
免费
03.Areaofcompoundshapes
0:0
免费
04.Perimeterofpolygonsandcompoundshapes
57.Circles
0:0
免费
01.Findthecircumferenceofacircle
0:0
免费
02.FindtheDiameterorRadiuswhengiventheCircumference
0:0
免费
03.FindtheAreaofaCircle
0:0
免费
04.Findtheradiusanddiameterwhengiventhearea
58.Partsofcircles1(Semiandquartercircles)
0:0
免费
01.Knowthepartsofacircle
0:0
免费
02.Findtheareaofasemicircleandquartercircle
0:0
免费
03.Findtheareaofasector
0:0
免费
04.Findtheradiusordiametergiventheareaofasector
59.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
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