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 multistep 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 (nonprime)numbers

establish whethera numberup to100 isprime and recall prime numbersup to19

multiplynumbersup to 4 digitsbya oneor twodigitnumber using an efficientwritten method,including long multiplication fortwodigitnumbers

multiply and divide numbers mentally drawing upon known facts

divide numbers up to 4 digits by a onedigit 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

identify3D shapes,including cubesand cuboids,from 2D 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

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.



