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Profile Numeracy Objectives Year 5
 
Number, Place Value, Approximation and Estimation
  • read,write, orderandcompare numberstoatleast 1000 000 and determine the value ofeach digit
  • countforwardsorbackwardsin stepsofpowersof10for anygiven numberup to 1 000 000
  • interpretnegative numbersin context,count forwardsand backwardswith positive and negative wholenumbers through zero
  • round anynumberup to 1 000 000 to the nearest10,100, 1000,10 000 and 100000
  • solve numberproblemsand practical problemsthat involve all ofthe above
  • read Roman numeralsto 1000 (M)and recognise years written in Roman numerals.
 
Additionand subtraction
  • add and subtractwhole numbers with more than 4 digits, including using efficientwrittenmethods
  • add and subtractnumbersmentallywith increasinglylarge numbers
  • use rounding to checkanswersto calculationsand determine, in the contextofa problem,levelsofaccuracy
  • solve addition and subtraction multi-step problemsin contexts,deciding which operationsand methodsto use and why.
 
Multiplication and division
  • identifymultiplesand factors,including finding all factor pairs
  • solve problemsinvolving multiplication and division where largernumbersare used bydecomposing theminto their factors
  • know and use the vocabularyofprime numbers,prime factorsandcomposite (non-prime)numbers
  • establish whethera numberup to100 isprime and recall prime numbersup to19
  • multiplynumbersup to 4 digitsbya one-or two-digitnumber using an efficientwritten method,including long multiplication fortwo-digitnumbers
  • multiply and divide numbers mentally drawing upon known facts
  • divide numbers up to 4 digits by a one-digit number using the efficient written method of short division and interpret remainders appropriately for the context
  • multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
  • recognise and use square numbers and cube numbers, and the notation for squared and cubed
  • solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
  • solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.
 
Fractions
  • compare and orderfractionswhose denominatorsareall multiplesofthe samenumber
  • recognisemixed numbersand improperfractionsand convertfromone form tothe other
  • add and subtract fractionswith the same denominatorand related fractions;writemathematical statements>1 asa mixed number(e.g.2/5  +4/5  =6/5  =11/5 )
  • multiplyproperfractionsand mixed numbers bywhole numbers,supported bymaterials and diagrams.
 
Decimals and Fractions
  • read and write decimalnumbersasfractions (e.g.0.71 =71/100 )
  • recogniseand use thousandthsand relate themto tenths, hundredthsand decimal equivalents
  • round decimalswith two decimalplacesto the nearestwhole numberand to one decimal place
  • read,write, orderandcompare numberswith up to three decimal places
  • solve problemsinvolving numberup to threedecimal places.
 
 
Percentages, Decimals and Fractions
  • recognise the percentsymbol (%)and understand that per centrelatesto “numberofparts perhundred”,and write percentagesasa fraction with denominatorhundred,and as a decimal fraction
  • solve problemswhich require knowing percentage and decimal equivalentsof1/2 ,1/4 ,1/5 ,2/5 ,4/5  andthose with a denominatorofamultiple of10 or25.
 
Measures
  • convertbetween differentunitsof measure (e.g.kilometre and metre; metre andcentimetre; centimetreand millimetre; kilogramand gram;litre and millilitre)
  • understandand use basicequivalencesbetween metricand common imperial unitsand expressthemin approximate terms
  • measure and calculate the perimeterofcomposite rectilinear shapesin centimetres and metres
  • calculate and compare the areaofsquares and rectangles
  • including using standard units,square centimetres (cm2)and square metres(m2)and estimatethe area of irregular shapes
  • recogniseand estimate volume (e.g.using 1 cm3  blocksto build cubesand cuboids)and capacity(e.g. using water)
  • solve problemsinvolving converting between unitsoftime
  • solve problemsinvolving additionand subtraction ofunitsof measure (e.g.length, mass,volume,money)using decimal notation.
 
Geometry:properties ofshapes
  • identify3-D shapes,including cubesand cuboids,from 2-D representations
  • know anglesare measured in degrees;estimate and measure themand draw a given angle,writing itssize in degrees(o)
  • identify:
    • multiplesof90o
    • anglesata pointon a straightlineand ½a turn (total 180o)
    • anglesata pointand one whole turn (total 360o)
    • reflex angles
    • compare differentangles
 
  • draw shapesusing given dimensionsand angles
  • state and use the propertiesofarectangle (including squares)todeduce related facts
  • distinguishbetween regularand irregularpolygonsbased on reasoningaboutequal sidesandangles.
 
Geometry:position, direction, motion
  1. identify,describe and representthe positionofa shape following areflection ortranslation,using the appropriate language,and know thatthe shape hasnotchanged.
 
Data
  • solve comparison,sumand difference problemsusing information presented in line graphs
  • complete,read and interpretinformation in tables,including timetables.