The King’s School Curriculum Map 2019-2020 Subject: Maths ...

TheKing’sSchoolCurriculumMap2019-2020

Subject:Maths–AllYears

TERM1 TERM2 TERM3 TERM4 TERM5 TERM6

7 CurriculumTopicsAlgebra–sequencesAlgebra–NotationAlgebra–Equality&EquivalenceSequencing:Describe&continuesequencesFindmissingtermsinasequenceFindthenthtermofsequencesRecognisethedifferencebetweenlinearandnonlinearsequencesRecognisedifferenttypesofsequencessuchasgeometric/FibonacciUseinverseoperationsSimplifyalgebraicexpressionsUsefunctionmachinesSubstitutenumbersintoexpressionsRepresentfunctionsgraphicallyGeneratesequencesfromanalgebraicruleUsenumberbondsandthebarmodelSolveonesteplinearequationsSimplifyliketermsWriteanequationandsolveitMultiplyatermoverabracketUnderstandthemeaningofequivalenceandidentitySolvesimultaneousequations

CurriculumTopicsNumber–PlaceValueNumber–FDPLifeSkills(MoneyManagement)Sequencing:Describe&continueasequenceCompareandorderwhole,decimal,negative&fractionalnumbersUseinequalitysymbolstocompareRoundtothenearest10,100etcRoundtodecimalplacesandsignificantfiguresFindtherange,medianandmodeofalistofnumbersandfromatableEstimatecalculationsUseupperandlowerboundsUsestandardindexformRepresentFDPonanumberlineFindandcomparefractionsinshapesInterchangebetweenFDPEquivalentfractionsincludingalgebraicfractionsSolveequationswithfractionsInterpretPiechartsIntroductionofrationalandirrationalnumbersConvertrecurringdecimalstofractionsRecognisingyourmoneypersonalityValueformoney

CurriculumTopicsNumber–Addition&SubtractionNumber–Multiplication&DivisionSequencing:Reviewmethodsofaddition&subtractionSolveproblemsincludingmoneyandshape.ReadinformationfromtablesandchartsUsingFrequencytreesAddition&subtractionwithstandardformSolveproblemsandreverseproblemsincontextwithalgebraMultiply&dividebypowersof10ConvertbetweenmetricunitsFindpercentagesandfractionsofanamountAreaofrectangles,triangles,parallelograms,trapeziums&BIDMASFindHighestCommonFactors&LowestCommonMultiplesFindthemeanfromfrequencytablesAlgebraicareaIncreasepercentagesusingamultiplierRepeatedpercentagechangeSolveequations

CurriculumTopicsNumber–DirectednumberNumber–FractionsSequencing:OrderdirectednumbersFourrulesofcalculationswithdirectednumbersSubstitution,sequencesandBIDMASwithnegativenumbersUseinequalitysymbolsSolveinequalitiesanddisplayonanumberlineAddition&subtractionoffractionswithandwithoutcommondenominatorsRevisitequivalentfractionsMixeddecimal&fractionquestionsImproperandmixedfractionsUseofacalculatorAlgebraicfractionsRecognise&usereciprocals

CurriculumTopicsShape–Construction&NotationShape–GeometricreasoningSequencing:DrawandmeasurelinesusingarulerDrawandmeasureanglesusingaruler&protractorUnderstand&useangle&linenotationRecogniseparallel&perpendicularlinesRecognisecommontriangles,quadrilaterals&polygonsDrawtrianglesusingconstructionsBisectangles&linesDraw&interpretpiechartsRevisitstandardformUnderstandcongruencyPythagoras’theoremCalculateanglesonaline,atapoint&verticallyoppositeanglesCalculatemissinganglesintriangles&quadrilaterals.FindanglesinparallellinesFindanglesinpolygonsUnderstandtheproofofanglesonastraightlineInvolvealgebraintoshapequestions

CurriculumTopicsNumber–Reasoning&NumbersenseProbabilityNumber–Primenumbers&ProofSequencing:MentalarithmeticstrategiesTestsofdivisibilityRevisitFDPconversionsUseknownfactstoderiveotherfactsInvestigateoddandevennumbersusingalgebraUnderstandanduseVenndiagramsPlaceeventsintheorderoflikelihoodBasicprobabilityofasingleeventusingthescale0to1andlistoutcomesCollectandrecorddatafromasimpleexperimentUnderstand&usesetnotationFindtheprobabilityofeventsnothappeningUsetwowaytablesKnowthatincreasingthetimesofanexperimentleadstobetterestimatesofprobabilityVenndiagramsforHCF&LCMAnd/OrrulesforprobabilityExclusive&exhaustiveeventsTypesofnumberincludingfactors&multiples

Understandingbankaccounts,readstatementsandtracktransactionsAttitudetomoneyandsafeguardingfinancialinformation

FindtheproductofprimefactorsIndexnotation&lawsofindicesMultiplication&divisionwithstandardformAlgebraicproof

Assessments:EndofblockWIN/FBIsheet(Approximatelyevery2weeks)

Assessments:EndofblockWIN/FBIsheet(Approximatelyevery2weeks)EndofAutumntermsAssessment


Assessments:EndofblockWIN/FBIsheet(Approximatelyevery2weeks)EndofSpringtermsAssessment


Assessments:EndofblockWIN/FBIsheet(Approximatelyevery2weeks)EndofSummertermsAssessment

Enrichment:

Enrichment:

Enrichment:

Enrichment:

Enrichment:

Enrichment:

Homework:WeeklyhomeworksetonShowMyHomework






8 CurriculumTopicsRatioandScale.Multiplicativechange.Multiplying&DividingFractions.WorkinginCartesianPlane.Sequencing:Rationotation.Simplifying&comparingratio.Ratiointheform1:n.Dividinganamountbyaratio.Compoundratio.Partsofacircle.Area&circumferenceofacircle.Area&perimeterofarcs.Readingscalesandmaps.Identifysimilar&congruentshapes.Identifying&suchscalefactoronmapsordiagrams.Problemsolvinginvolvingscale.Useoflength,area&volumescalefactorsforsimilarshape.Useofdiagramstoexplainfractions.

CurriculumTopicsCollecting&RepresentingData.ProbabilityNets,construction&Loci.LifeSkills(MoneyManagement).Sequencing:Collectdatainatally/frequencytables.Designaquestionnaire.Collectdatainagroupedfrequencytable.Design,completeandusetwowaytables.Identifycorrelation&drawalineofbestfit.Completeascattergraph&commentoncorrelation/relationshipbetweenvariables.Uselineofbestfitestimate.Interpolation&Extrapolationfromlineofbestfit.Listoutcomesofanevent.Calculateprobabilitiesfromsimpleevents.Samplespacediagrams.

CurriculumTopicsBrackets,Equations&Inequalities.SequencesIndicesUnits&CompoundMeasureSequencing:ExpandasinglebracketSolve1stepequationsExpandsinglebrackets&simplify.Solve2stepequationsFormanduseexpressions,formulae&identities.Form&solveequationsFactoriseintoasinglebracket.ExpandbinomialsSolveequationswithbrackets&unknownsonbothsides.Introducesolvingsimultaneousgraphically&algebraicallyFactoriseaquadratic.Begintosolvequadratics.Form&solveequationsinvolvingratio.Continuesequencesby+-x÷

CurriculumTopicsFractions&PercentagesStandardindexformNumbersenseSequencing:Convertbetweenfractions,decimals&percentages.Findpercentagesusing10%,5%etcOrderfractions,decimals&percentages.Findpercentagesofanamountusingacalculator.Representoneamountasapercentageofanother.Usedecimalequivalencetofindapercentageofanamount.Findtheoriginalamountgivenapercentage.Usedecimalmultipliertoeffectpercentagechange.RepeatedpercentageincReversepercentages.Recogniseandevaluatepositiveandnegativepowersof10.

CurriculumTopicsAnglesinparallellines&Polygons.AreaofTrapezia&Circles.Linesymmetry&reflection.Sequencing:Findingmissinganglesonaline,aroundapoint&inatriangle.Identifydifferenttypesoftriangles.Completesimpletessellations.Findanglesinapolygon.Recogniseverticallyoppositeangles.Identifyquadrilateralsbasedonproperties.Findtheanglesumofanypolygon.Constructline&anglebisectors.Usethepropertiesof‘special’trianglesandquadrilateralstoobtainmissingangles.Calculateinterior&exteriorangles.Constructperpendicularfrompointtoaline.Circletheorems.

CurriculumTopicsThedatahandlingcyclePythagoras&TrigonometryMeasuresoflocation&DispersionSequencing:Draw&interpretabarchart.Draw&interpretapictogram.Interpretpiechart(equalsegments)Draw&interpretdualbarcharts.Bar&interpretbarlinegraphs.Interpretcompositebarcharts.Calculateanglestodrawapiechart.Representdatainastem&leafdiagram.Identifyanddiscussmisleadingstatistics.Comparedatawithback-backstem&leafdiagrams.Drawaboxplotfromacumulativefrequencygraph&usetocomparedata.

Useofnumberlinewithunitfractions.Xand÷fractionsbyintegers.Xand÷fractionsbyfractions.Problemsolvinginreal-life.X&÷usingmixednumbers.Plotcoordinatesin4quadrants.Identifyequationsofvertical&horizontallines.Plotlineargraphs.Identifygradientandy-intercept.Plotquadraticgraphs.Investigategradientofparallel&perpendicularlines.Lengthofalinesegment.Interpretstraightlinegraphstosolvesimultaneousequations.Analysequadraticstoidentifyroots&turningpoint.Recognisetheformofquadratic,cubic&reciprocalgraphs.

Writelistsofpermutationsforcombinedevents.UseVenndiagrams&setnotationtocalculateprobability.Completeagivensamplespaceusingittocalculateprobabilities.Understandrelativefrequencyasanestimateofprobability.Productruleforcounting.UseofVenndiagramstocalculateprobability.Compoundevents,simpletreediagrams.Non-replacementandconditionalprobability.Namecommon3Dshapes.Sketchandconstructnets.Calculatesurfaceareas.Scaledrawings&simplebearings.Locusaccordingtoasimplerule.Loci&constructioncomplexrules.Understanding&managingdebt.Calculatingpay&exploringloans.Financialrisk&security.Futureofmoney.

Generatesequencesusingthenthterm.Findthenthtermofalinearsequence.ExpandintomorecomplexrulesFindthenthtermofasimplequadraticsequence.Usethenthtermtofindalargerterms.Usethenthtermtodecideifanumberisinthesequence.Useaquadraticnthtermruletogenerateasequence.Knowsquaresandrootsto15².Knowcubeandcuberootsto5³.Recognise&evaluatehigherpowers.WriteexpressionusingpowersUseindexlawsforx÷&().Simplifyproblemsinvolvingindices.Usepowerstosimplifyexpressions.Substitutenumbersintoexpressionsinvolvingpowers.Understandzeropower.Usenegativepowers.Usesimplefractionalpowers.Metricconversions.Conversionbetweenmetric&imperial.Otherconversionse.g.currency.Usecompoundmeasure.Convertbetweenareaandvolumemeasures.Distinguishformulabyconsideringdimensions.

Convertbetweenstandardformandnormalnumbersforsmall&largenumbers.Orderandcomparenumbersinstandardform.Solvex&÷problemsinstandardform.Usestandardforminproblemsolving.Begintomanipulateanswersgivenassurds.Mentalstrategiesfor+-.Roundtonearest10,100,100.OrderofoperationsRoundtodecimalplacesMentalstrategiesforx&÷Mentalstrategiesforx&÷includingdecimals.Roundtosignificantfigures.Recogniseandidentifyerrorintervals.Recognisetheimpactroundhasontheaccuracyofananswer.Recogniseandusereciprocals.

Useofinterior&exterioranglestoobtainthenumberofsidesofapolygon.Recogniseanduseanglesinparallellines.Useformulaetofindtheareaofsquares,rectangles&triangles.Calculatevolumebycountingcubes.Volumeofacuboid.Areaofcompoundshapesinvolvingsquares,rectanglesandtriangles.Useformulaetofindtheareaofrhombuses,parallelograms&trapeziums.Calculatetheareaofacircle.Areaofcompoundshapesinvolvingcircles.Areaofsectors.Volumeofaprism.Problemsolvinginvolvingarea.AreaofcirclesandsectorsintermsofPi.Applicationofupper&lowerboundsonarea.Drawlinesofsymmetry.ReflectshapesinamirrorlineTranslateusingavector.Reflectshapesinx=y=anddescribereflectionsinx=y=.Carryoutsingletransformationsenlargements,reflections,translations&rotations.Definequadrilateralsbasedonsymmetry&diagonalproperties

UsePythagorastheoremtoidentifymissingsidesofaright-angledtriangle.UsePythagorasin3D.Identifysidesofarightangletriangle.Usetrigonometrytofindmissingsides&anglesinright-angledtriangles.ApplyTrigonometrytoreal-lifeproblems.


Assessments:EndofblockWIN/FBIsheet(Approximatelyevery2weeks)EndofAutumntermsAssessment


Assessments:EndofblockWIN/FBIsheet(Approximatelyevery2weeks)EndofSpringtermsassessment


Assessments:EndofblockWIN/FBIsheet(Approximatelyevery2weeks)EndofSummertermsassessment

Enrichment: Enrichment: Enrichment: Enrichment: Enrichment: Enrichment:







9 CurriculumTopicsBasicNumber,Basicalgebra,ShapeSequencing:PlaceValue,4operations,Typesofnumber,Powers,Factors,Multiples,HCF/LCM,Indices,Standardform.Functionmachines,Simplifyingexpressions,Substitution,Expanding,Factorising,Equations,Changeofsubject,LawsofIndices.Namesof2D&3Dshapes,Perimeter,Convertingunits,Area,Volume,SurfaceArea,AngleProperties,Congruence&Similarity.

CurriculumTopicsNumberDataHandlingShapeSequencing:Scales/charts,Time,OrderofOperations,NegativeNumbers,Fractions,FDP,4operationswithfractions&Mixednumbers,Round&Estimate,Bounds,4operationswithnumbersinStandardForm,RecurringDecimals.Sampling,GroupedFrequency,BasicDiagrams&Graphs,Comparingdata,CumulativeFrequency,BoxPlots,andHistograms.Angles&properties,Anglesinatriangle,Anglesinpolygons,Circles,Circletheorems.

CurriculumTopicsAlgebraDataHandlingShapeProbabilitySequencing:FormingExpressions,Forming&SolvingEquations,Changingsubject,LawsofIndices,Expandingquadratics,Factorisequadratics,Algebraicfractions,SimultaneousEquations.AveragesandRangefromalist&frequencytable,Two-waytables,Estimatingaverages.Line&rotationalsymmetry,Tessellations,Transformations,Bearings,Loci&Constructions,Plans&elevations,Pythagoras,Trigonometry.ProbabilityScales,Probabilities,Probabilityfrom2waytables,Treediagramsforindependent/dependentevents.

CurriculumTopicsNumberAlgebraGeometrySequencing:Findinga%non-calcandcalcmethods,%increase/decrease,Rounding&Estimating,Proportion,Ratio,ExpressingFractions,4rulesoffractions,FDP,CompoundUnits,SimilarShapes,DirectProportion,InverseProportion,Growth&Decay,Bounds,Gradientofastraightline,Surds.Simplifyingexpressions,Substitution,SolvingEquations,FormingEquations,ChangeofSubject,LawsofIndices,QuadraticFactorising,SimultaneousEquations,Gradientofastraightline,Quadraticformula,Completethesquare.Constructions,Plans&elevations,Scales,Pythagoras,Trigonometry,Areaoftriangleusingsine,Sinerule,Cosinerule.

CurriculumTopicsAlgebraNumberGeometryDataHandlingSequencing:Sequences,QuadraticSequences,Coordinates,StraightlineGraphs.NegativeNumbers,%increase/decrease,Reverse%.Partsofacircle,areaofacircle,circumference,Understanding&usingvectors.Stem&Leafdiagrams,Averagesfromatable,Histograms.

CurriculumTopicsAlgebraDataHandlingGeometrySequencing:Straightlinegraphs,Distance-Timegraphs,Quadratic/Cubic/Reciprocal/Exponentialgraphs,Inequalities,Substitution,Solvingequations,ChangeofSubject.Relativefrequencies,Two-waytables,Treediagramsforindependent&dependentevents,Graphicaltransformations,TrigonometricGraphs.Angleproperties,Anglesintriangles,Anglesinpolygons,Circles,Circletheorems.

Assessments:WIN/FBIsonNumberWIN/FBIsonAlgebraWIN/FBIsonShapeEndofTermAssessment,QLAandNextStepsTherapy

Assessments:WIN/FBIsonNumberWIN/FBIsonDataHandling/ShapeEndofTermAssessment,QLAandNextStepsTherapy

Assessments:WIN/FBIsonAveragesWIN/FBIsonShape/ProbabilityEndofTermAssessment,QLAandNextStepsTherapy

Assessments:WIN/FBIsonNumberWIN/FBIsonAlgebra/GeometryEndofTermAssessment,QLAandNextStepsTherapy

Assessments:WIN/FBIsonAlgebra/NumberWIN/FBIsonGeometry/DataHandlingEndofTermAssessment,QLAandNextStepsTherapy

Assessments:WIN/FBIsonAlgebraWIN/FBIsonDataHandling/GeometryEndofTermAssessment,QLAandNextStepsTherapy

Enrichment:

Enrichment:

Enrichment:

Enrichment:

Enrichment:

Enrichment:







10 CurriculumTopicsBasicNumber,Basicalgebra,ShapeSequencing:PlaceValue,4operations,Typesofnumber,Powers,Factors,Multiples,HCF/LCM,VenndiagramsforHCF/LCM,Indices,Standardform.Functionmachines,Simplifyingexpressions,Substitution,Expanding,Factorising,Equations,Changeofsubject,LawsofIndices,Changesubjectwheresubjectoccurstwice,Expand3ormorebrackets,Factorisequadraticwithcoefficientofxgreaterthan1andsolvethequadratic.Namesof2D&3Dshapes,Perimeter,Convertingunits,Area,Volume,SurfaceAreaincludingFrustumsofcones,AngleProperties,Congruence&Similarity.

CurriculumTopicsNumberDataHandlingShapeSequencing:Scales/charts,Time,OrderofOperations,NegativeNumbers,Fractions,FDP,4operationswithfractions&Mixednumbers,Round&Estimate,Bounds,4operationswithnumbersinStandardForm,ConvertRecurringDecimalstofractions,Surds&Rationalising,Max&Minvalueofacalculationwhennumbershavebeenrounded,Direct&Inverseproportion.Sampling,GroupedFrequency,BasicDiagrams&Graphs,Comparingdata,CumulativeFrequency,BoxPlots,Histograms,comparedatausingboxplots.Angles&properties,Anglesinatriangle,Anglesinpolygons,Circles,Circletheorems,Proofofcircletheorems,SimilarShapes&linksbetweensidesandareas/volumes.

CurriculumTopicsAlgebraDataHandlingShapeProbabilitySequencing:FormingExpressions,Forming&SolvingEquations,Changingsubject,LawsofIndices,Expandingquadratics,Factorisequadratics,Algebraicfractions,SimultaneousEquationsbothlinearandonenon-linear.AveragesandRangefromalist&frequencytable,Two-waytables,Estimatingaverages.Line&rotationalsymmetry,Tessellations,Transformations,CombinedTransformations,Bearings,Loci&Constructions,Plans&elevations,Pythagoras,SimilarshapesinvolvingPythagoras,Trigonometry,AreaoftriangleusingSine.ProbabilityScales,Probabilities,Probabilityfrom2waytables,Treediagramsforindependent/dependentevents,Conditionalprobability,SamplingincludingStratified.

CurriculumTopicsNumberAlgebraGeometrySequencing:Findinga%non-calcandcalcmethods,%increase/decrease,Rounding&Estimating,Proportion,Ratio,ExpressingFractions,4rulesoffractions,FDP,CompoundUnits,SimilarShapes,DirectProportion,InverseProportion,Growth&Decay,Bounds,Gradientofastraightline,Surds.Simplifyingexpressions,Substitution,SolvingEquations,FormingEquations,ChangeofSubject,LawsofIndices,morecomplexFractionalIndices,4rulesofnumbersinStandardform,QuadraticFactorising,SimultaneousEquations,Gradientofastraightline,Gradientofapointonacurve,Quadraticformula,Completethesquare,Useofiteration,Functions.Constructions,Plans&elevations,Scales,Pythagoras,Trigonometry,Areaoftriangleusingsine,Sinerule,Cosinerule,GraphsofTrigonometricfunctions.

CurriculumTopicsAlgebraNumberGeometryDataHandlingSequencing:Sequences,QuadraticSequences,Coordinates,StraightlineGraphs,Composite&InverseFunctions.NegativeNumbers,%increase/decrease,Reverse%.Partsofacircle,areaofacircle,circumference,Understanding&usingvectors,VectorsforGeometricarguments&proof.Stem&Leafdiagrams,Averagesfromatable,Histograms.

CurriculumTopicsAlgebraDataHandlingGeometrySequencing:Straightlinegraphs,Distance-Timegraphs,Quadratic/Cubic/Reciprocal/Exponentialgraphs,Inequalities,Quadraticinequalities,Substitution,Solvingequations,ChangeofSubject.Relativefrequencies,Two-waytables,Treediagramsforindependent&dependentevents,Graphicaltransformations,TrigonometricGraphs.Angleproperties,Anglesintriangles,Anglesinpolygons,Circles,Circletheorems,Proofofcircletheorems.

Assessments:WIN/FBIsonNumberWIN/FBIsonAlgebraWIN/FBIsonShape

Assessments:WIN/FBIsonNumberWIN/FBIsonDataHandling/Shape

Assessments:WIN/FBIsonAveragesWIN/FBIsonShape/Probability

Assessments:WIN/FBIsonNumberWIN/FBIsonAlgebra/Geometry

Assessments:WIN/FBIsonAlgebra/NumberWIN/FBIsonGeometry/DataHandling

Assessments:WIN/FBIsonAlgebraWIN/FBIsonDataHandling/Geometry

EndofTermAssessment,QLAandNextStepsTherapy






Enrichment:

Enrichment:

Enrichment:

Enrichment:

Enrichment:

Enrichment:







11 CurriculumTopicsExamPreparationSequencing:BespokelessonsbasedonQLAofendofyr10assessment

CurriculumTopicsExamPreparationSequencing:BespokelessonsbasedonQLAofendofterm1assessment





Assessments:

Assessments:FullGCSEexamseries

Assessments:

Assessments:FullGCSEExamseries

Assessments:GCSEExamspaper1

Assessments:GCSEExamsPaper2&3

Enrichment:

Enrichment:

Enrichment:

Enrichment:

Enrichment:

Enrichment:





Homework:WeeklyGCSEexampracticepapers

Homework:WeeklyGCSEexampracticepapers

Date post:	24-Feb-2022
Category:	Documents
Upload:	others
View:	1 times
Download:	0 times

The King’s School Curriculum Map 2019-2020 Subject: Maths ...

Documents