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英国十一年级【K11】Maths:foundation2
英国十一年级【K11】Maths:foundation2
英国十一年级【K11】Maths:foundation2
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英国十一年级【K11】Maths:foundation2
01.Algebraicfractions
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01.Checkingandsecuringunderstandingofsolvingwithsimplealgebraicfractions
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02.Checkingandsecuringunderstandingofchangingthesubjectwithsimplealgebraicfractions
02.2Dand3Dshapesurfaceareaandvolume(pyramids,spheresandcones)
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01.Checkingandsecuringunderstandingofnetsofsolids
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02.Checkingandsecuringunderstandingofvolumeofprisms
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03.Checkingandsecuringunderstandingofsurfaceareaofcuboids
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04.Checkingandsecuringunderstandingofsurfaceareaofotherprisms
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05.Checkingandsecuringunderstandingofvolumeofacylinder
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06.Checkingandsecuringunderstandingofsurfaceareaofacylinder
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07.Thesurfaceareaofapyramid
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08.Thevolumeofapyramid
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09.Thesurfaceareaofasphere
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10.Thevolumeofasphere
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11.Thesurfaceareaofacone
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12.Thevolumeofacone
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13.Surfaceareaofcompositesolids
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14.Volumeofcompositesolids
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15.Problemsolvingwithfurthersurfaceareaandvolume
03.Conditionalprobability
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01.Checkingandsecuringdisplayingoutcomes
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02.Checkingandsecuringexhaustiveevents
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03.Probabilitiesinvolvingalgebra
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04.Frequencytrees
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05.Checkingandsecuringcalculatingprobabilitiesfromtables
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06.Checkingandsecuringcalculatingprobabilitiesfromdiagrams
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07.Experimentalprobability
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08.Experimentalvstheoreticalprobability
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09.Setnotation
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10.Conditionalprobabilityinatwo-waytable
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11.ConditionalprobabilityinaVenndiagram
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12.Conditionalprobabilityinatreediagram
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13.Problemsolvingwithconditionalprobability
04.Compoundmeasures
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01.Checkingandfurthersecuringunderstandingofdirectproportionincontext
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02.Compoundmeasuresforspeed
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03.Compoundmeasuresfordensity
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04.Compoundmeasuresforpressure
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05.Convertingbetweenmetricspeedmeasures
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06.Convertingbetweenmetricandimperialspeedmeasures
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07.Combiningspeeds
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08.Combiningdensities
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09.Problemsolvingwithcompoundmeasures
05.Real-lifegraphs
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01.Checkingandsecuringunderstandingofreadingfromcontext-basedgraphs
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02.Checkingandsecuringunderstandingofdrawingdistance-timegraphs
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03.Distance-timegraphs
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04.Speed-timegraphs
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05.Non-lineardistance-timegraphs
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06.Interpretinganddrawingreal-lifegraphs
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07.Problemsolvingwithreal-lifegraphs
06.Directandinverseproportion
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01.Checkingandsecuringunderstandingofdirectproportiongraphs
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02.Checkingandsecuringunderstandingofinverseproportiongraphs
07.Furthersequences
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01.Checkingandsecuringunderstandingofspecialnumbersequences
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02.Fibonacciandalternatingsequences
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03.Checkingandsecuringrulesforgeneratingarithmeticsequences
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04.Identifyingvaluesinanarithmeticsequence
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05.Reasoningaboutvaluesinanarithmeticsequence
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06.Conditionsinarithmeticsequences
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07.Arithmeticsequencesandtheirgraphs
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08.Checkingandsecuringunderstandingofgeometricsequences
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09.Problemsolvingwithfurthersequences
08.Inequalities
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01.Checkingandsecuringunderstandingofsimultaneousequations
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02.Non-solutionstosimultaneouslinearequations
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03.Inequalitiesonnumberlines
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04.Solvingsimplelinearinequalities
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05.Solvingmorecomplicatedlinearinequalities
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06.Linearinequalitiesincontext
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07.Problemsolvingwithlinearinequalities
09.Vectors
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01.Checkingandsecuringunderstandingoftranslations
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02.Columnvectors
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03.Parallelvectors
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04.Additionwithvectors
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05.Subtractionwithvectors
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06.Multiplicationwithvectors
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07.Fluencyinarithmeticprocedureswithvectors
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08.Problemsolvingwithvectors
10.Lociandconstruction
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01.Checkingandsecuringunderstandingofconstructingtheperpendicularbisectorofalinesegment
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02.Checkingandsecuringunderstandingofconstructingaperpendiculartoagivenlinethroughapoint
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03.Checkingandsecuringunderstandingofbisectinganangle
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04.Constructinganglesof90°and45°
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05.Constructingatrianglegiventhreesidelengthsusingcompasses
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06.Constructingatrianglegiventwosidelengthsandtheanglebetweenthemusingacompass
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07.Constructingatrianglegiventwoanglesandthesidelengthbetweenthem
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08.Constructingaright-angledtrianglegiventhelengthofthehypotenuseandoneothersidelength
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09.Constructingatrianglegiventwosidelengthsandananglenotbetweenthem
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10.Constructingloci
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11.Applyingconstructionstolociproblems
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12.Solvinglociproblemsincontext
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13.Problemsolvingwithlociandconstructions
11.AngleFacts
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01.Findmissinganglesaroundapointandonastraightline
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02.Findmissinganglesinatriangle
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03.Findmissinganglesinaquadrilateral
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04.Findmissinganglesinaspecialquadrilateral
12.ParallelLinesandPolygons1
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01.Anglesinparallellineswithonetransversal
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02.Anglesinparallellineswithtwotransversals
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03.Findmissingexteriorangles
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04.Solveproblemsinvolvingexteriorangles
13.Polygons2(InteriorandExterior)
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01.Findmissingexterioranglesofpolygons
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02.Findingthesumofinterioranglesinapolygon
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03.Findthenumberofsideswhengiventhesumofinteriorangles
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04.Findmissingangleswhentwoormorepolygonsarejoined
14.StandardForm(Writingandconverting)
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01.Convertlargenumberstostandardform
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02.Convertlargestandardformnumberstoordinaryform
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03.Convertsmallnumberstostandardform
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04.Convertsmallstandardformnumberstoordinaryform
15.StandardForm4Operations
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01.Addingtwonumbersinstandardform
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02.Subtractingtwonumbersinstandardform
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03.MultiplyingTwoNumbersinStandardForm
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04.DividingTwoNumbersinStandardForm
16.Ratio2(RatioandFractionsDirectProportionBestBuy)
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01.Ratioandfractions
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02.Comparethecostoftwoitemsusingtheunitarymethod
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03.Usingdirectproportiongraphs
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04.Proportionproblems
17.Revise-SolvingEquations
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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
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05.Solveequationsthatfirstinvolvesimplification2(x+3)+5x=15
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06.Solvesimplealgebraicfractions(equaltoanumber)
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07.Solvingalgebraicfractions(equaltox+a)
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08.Solvingalgebraicfractions(onefractionequaltoanother)
18.SimultaneousEquations(Linear)
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01.Solvelinearsimultaneousequationswhereoneofthecoefficientsisequal
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02.Solvelinearsimultaneousequationswhereyouneedtomultiplyoneoftheequations
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03.Solvelinearsimultaneousequationswhereyouneedtomultiplybothequations
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04.Solvelinearsimultaneousequationswhereyouneedtofirstrearrange
19.Frequencycharts(DataCollection,BarandPictograms)
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01.Datacollection
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免费
02.Barcharts
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03.Compositeandmultiplebarcharts
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04.Pictograms
20.Averages(Fromalistandtables,StemandLeaf)
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01.Findthemean,median,modeandrangefromalistofnumbers
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02.Stemandleafdiagrams
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03.Meanfromafrequencytable
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04.Meanfromagroupedfrequencytable
21.ChartsandTables(PieChartandTwowaytables)
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01.Interprettimetablesanddistancetables
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02.Designandinterprettwo-waytables
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03.Plotandinterprettime-seriesgraphs
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04.Drawandinterpretpiecharts
22.ScatterdiagramsandFrequencytrees
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01.Plotascattergraphanddescribecorrelation
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02.Identifyandexplainoutliersfromascatterdiagram
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03.Usealineofbestfitonascattergraph
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04.Drawandinterpretafrequencytree
23.Probability1(Scaleandequallylikelyevents)
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01.Usethelanguageofprobabilityandtheprobabilityscale
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02.Calculateprobabilitiesfromequallylikelyevents
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03.Findtheprobabilityofaneventnothappeningincludingusingatable(includemutuallyexclusiveandexhaustive)
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04.Findthepredictednumberofoutcomes
24.Probability2(Samplespace,Venndiagramsandexperimental)
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01.Listoutcomesinasamplespacediagram(two-waytable)andcalculateprobabilities
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02.Calculateexperimentalprobabilitiesandmakepredictions(relativefrequency)
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03.FindprobabilitiesfromVenndiagramsincludingbasicsetnotation
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04.Findprobabilitiesfromfrequencytrees
25.Probability3(Treediagrams)
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01.Drawatreediagramforindependentevents
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02.Calculateprobabilitiesofindependentevents
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03.Drawatreediagramfordependentevents
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04.Calculateprobabilitiesofdependentevents
26.StraightLineGraphs2(ParallelLines)
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01.Writetheequationofastraightlineifparalleltoalineandpassingthrough(0,n)
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02.Writetheequationofastraightlineifparalleltoalineandpassingthroughanypoint
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03.Findtheequationofastraightlinethroughtwogivenpoints
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04.Interpretgradientandinterceptonreallifegraphs
27.QuadraticGraphs1(a=1)
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免费
01.Plotsimplequadraticequations
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02.Plototherquadraticequations
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03.SolvingQuadraticEquationsGraphically
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04.Identifyandinterpretroots,interceptsandturningpointsofquadraticgraphs
28.TravelGraphs
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01.Distance-timegraphs
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02.Calculatespeedfromdistancetime-graphs
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03.Velocity-timegraphs
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04.Accelerationfromavelocity-timegraph
29.Compoundmeasures
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01.Useandapplythespeedformula
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02.Useandapplythedensityformula
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03.Useandapplythepressureformula
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04.Solvesimplekinematicsproblems(velocity,initialvelocityandaccelerationformulae)
30.TranslateandVectors1
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01.Translateanddescribeanobjectgivenahorizontalorverticalinstruction
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02.Translateanddescribea2Dvector
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03.Representacolumnvectorasadiagramandusingnotation
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04.Writeacolumnvectorfromadiagram
31.Vectors2
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01.Addtwocolumnvectors(includingdiagrams)togivearesultantvector
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02.Addandsubtracttwocolumnvectorstogivearesultantvector(Part1)
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03.Multiplyavectorbyascalar
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04.Addandsubtracttwocolumnvectorstogivearesultantvector(Part2)
32.Bearings
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01.Knowthecardinalcompassandthethreerulesofbearings
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02.Measurethe3-figurebearingbetween2pointsandfindapointwhengivena3-figurebearingandlength
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03.Whengiventwopointsand2bearingsfindathirdpoint
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04.Backbearings
33.ViewsandMaps
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01.Faces,EdgesandVertices
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02.Drawplanviewsandelevationsof3Dshapes
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03.Sketch3Dshapeswhengivenplanandelevation
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04.Useamapscaletoworkoutalengthandviceversa
34.Constructions
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01.Constructtriangles
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02.Constructaperpendicularbisector
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03.Constructaperpendicularbisectorfromapointtoaline
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04.Constructananglebisector
35.Loci
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01.Lociaroundapoint
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02.Locifromaline
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03.Locifromashape
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04.Equidistantfromtwopoints
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