Survey
* Your assessment is very important for improving the work of 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
