Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Overview in Mathematics
Document related concepts
Transcript
KeyLearninginMathematics–Year6 Number–numberandplacevalue Number–additionandsubtraction Number–multiplicationanddivision • Countforwardsorbackwardsinstepsofintegers,decimals,powersof10 • Read,write,orderandcomparenumbersupto10000000anddeterminethevalue • Chooseanappropriatestrategytosolveacalculationbaseduponthe • Chooseanappropriatestrategytosolveacalculationbased • • • • • • • • • • • • • ofeachdigit Identifythevalueofeachdigittothreedecimalplaces Identify,representandestimatenumbersusingthenumberline Orderandcomparenumbersincludingintegers,decimalsandnegativenumbers Find0.001,0.01,0.1,1,10andpowersof10more/lessthanagivennumber Roundanywholenumbertoarequireddegreeofaccuracy Rounddecimalswiththreedecimalplacestothenearestwholenumberoroneortwo decimalplaces Multiplyanddividenumbersby10,100and1000givinganswersuptothreedecimal places Usenegativenumbersincontext,andcalculateintervalsacrosszero Describeandextendnumbersequencesincludingthosewithmultiplicationand divisionsteps,inconsistentsteps,alternatingstepsandthosewherethestepsizeisa decimal Solvenumberandpracticalproblemsthatinvolvealloftheabove • • • • • • numbersinvolved(recallaknownfact,calculatementally,useajotting, writtenmethod) Selectamentalstrategyappropriateforthenumbersinthecalculation Recallanduseadditionandsubtractionfactsfor1(withdecimalstotwo decimalplaces) Performmentalcalculationsincludingwithmixedoperationsandlarge numbersanddecimals Addandsubtractwholenumbersanddecimalsusingformalwritten methods(columnaradditionandsubtraction) Useestimationtocheckanswerstocalculationsanddetermine,inthe contextofaproblem,anappropriatedegreeofaccuracy Useknowledgeoftheorderofoperationstocarryoutcalculations Solveadditionandsubtractionmulti-stepproblemsincontexts,deciding whichoperationsandmethodstouseandwhy Solveproblemsinvolvingallfouroperations,includingthosewithmissing numbers Number–fractions,decimalsandpercentages Geometry–propertiesofshapes • Compareandorderfractions,includingfractions>1(includingonanumberline) • Usecommonfactorstosimplifyfractions;usecommonmultiplestoexpressfractions • Compare/classifygeometricshapesbasedonthepropertiesandsizes • Draw2-Dshapesusinggivendimensionsandangles • Illustrateandnamepartsofcircles,includingradius,diameterand inthesamedenomination • Recallanduseequivalencesbetweensimplefractions,decimalsandpercentages, includingindifferentcontexts • Associateafractionwithdivisionandcalculatedecimalfractionequivalents(e.g. 0.375and ) circumferenceandknowthatthediameteristwicetheradius • Recognise,describeandbuildsimple3-Dshapes,includingmakingnets • Recogniseangleswheretheymeetatapoint,areonastraightline,orare • • • • • • • • • uponthenumbersinvolved(recallaknownfact,calculate mentally,useajotting,writtenmethod) Identifycommonfactors,commonmultiplesandprime numbers Usepartitioningtodoubleorhalveanynumber Performmentalcalculations,includingwithmixedoperations andlargenumbers Multiplymulti-digitnumbersupto4digitsbyatwo-digitwhole numberusingtheformalwrittenmethodoflongmultiplication Multiplyone-digitnumberswithuptotwodecimalplacesby wholenumbers Dividenumbersupto4digitsbyatwo-digitwholenumber usingtheformalwrittenmethodsofshortorlongdivision,and interpretremaindersaswholenumberremainders,fractions,or byrounding,asappropriateforthecontext Usewrittendivisionmethodsincaseswheretheanswerhasup totwodecimalplaces Useestimationandinversetocheckanswerstocalculationsand determine,inthecontextofaproblem,anappropriatedegree ofaccuracy Useknowledgeoftheorderofoperationstocarryout calculations Solveproblemsinvolvingallfouroperations,includingthose withmissingnumbers verticallyopposite,andfindmissingangles • Addandsubtractfractionswithdifferentdenominatorsandmixednumbers,using • Findunknownanglesinanytriangles,quadrilaterals,regularpolygons • Multiplysimplepairsofproperfractions,writingtheanswerinitssimplestform(e.g. Geometry–positionanddirection • Use,readandwritestandardunitsoflength,mass,volumeand • Describepositionsonthefullcoordinategrid(allfourquadrants) • Drawandtranslatesimpleshapesonthecoordinateplane,andreflectthem • Convertbetweenstandardunitsoflength,mass,volumeand Statistics • Convertbetweenmilesandkilometres • Recognisethatshapeswiththesameareascanhavedifferent theconceptofequivalentfractions x = ) • Divideproperfractionsbywholenumbers(e.g. ÷2= ) • Findsimplepercentagesofamounts • Solveproblemsinvolvingfractions • Solveproblemswhichrequireanswerstoberoundedtospecifieddegreesof intheaxes • Continuetocompleteandinterpretinformationinavarietyofsorting Ratioandproportion diagrams(includingsortingpropertiesofnumbersandshapes) • Interpretandconstructpiechartsandlinegraphsandusethesetosolve problems • Solvecomparison,sumanddifferenceproblemsusinginformation presentedinalltypesofgraph • Calculateandinterpretthemeanasanaverage • Solveproblemsinvolvingtherelativesizesoftwoquantitieswheremissingvalues Algebra accuracy • Solveproblemsinvolvingthecalculationofpercentages(e.g.ofmeasuresandsuch as15%of260)andtheuseofpercentagesforcomparison canbefoundusingintegermultiplication/divisionfacts • Solveproblemsinvolvingunequalsharingandgroupingusingknowledgeoffractions andmultiples • Solveproblemsinvolvingsimilarshapeswherethescalefactorisknownorcanbe found • • • • • Usesimpleformulae Generateanddescribelinearnumbersequences Expressmissingnumberproblemsalgebraically Findpairsofnumbersthatsatisfyanequationwithtwounknowns Enumeratepossibilitiesofcombinationsoftwovariables Measurement timeusingdecimalnotationtothreedecimalplaces timeusingdecimalnotationtothreedecimalplaces perimetersandviceversa • Calculatetheareaofparallelogramsandtriangles • Recognisewhenitispossibletouseformulaeforareaand volumeofshapes • Calculate,estimateandcomparevolumeofcubesandcuboids 3 usingstandardunits,includingcubiccentimetres(cm )and 3 3 cubicmetres(m ),andextendingtootherunits(e.g.mm and 3 km ) • Calculatedifferencesintemperature,includingthosethat involvedapositiveandnegativetemperature • Solveproblemsinvolvingthecalculationandconversionofunits ofmeasure,usingdecimalnotationuptothreedecimalplaces whereappropriate
