HampshireMathematicsTeamAssessmentModel: Fluency,Reasoning and ProblemSolvingVersion 4: November 2015
Year1 / Numberand place value / Addition and subtraction / Multiplication and division / Fractions / Measurement / Geometry:
Properties of shape / Position and direction
FluencyReasoning
Problemsolving /
- solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as
7 = - 9
- solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher
- compare, describe and solve practical problems for: length, mass orweight, capacityvolume and time
Phase 1 incELGs /
- Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number
- given a number, identify one more and one less
- identify and represent numbers using objects and
- pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least
- read and write numbers from 1 to 20 in numerals and words
- read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs
- add and subtract onedigit
share objects equally by counting how many in each group /
- recognise, find and name a half as one of two equal parts of an object, shape or quantity
- Compare, describe and solve practical problems for:
-Time (quicker, slower, earlier, later)
- Measure and begin to record the following:
-Time (hours)
- Recognise and know the value of different denominations of coins and notes
- Sequence events in chronological order using language such as: before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening
- Recognise and use language relating to dates, including days of the week, weeks, months and years
- Tell the time to the hour
- Recognise and name common 2-D shapes including squares and circles
Phase 2 /
- count in multiples of twos, and tens
- represent and use number bonds and related subtraction facts within 20
- add and subtract one-digit
20, including zero /
- solve one-step problems involving multiplication, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.
- recognise, find and name a quarter as one of four equal parts of an object, shape or quantity.
- Compare, describe and solve practical problems for:
-time (minutes)
-tell the time to the hour and half past the hour and
-draw the hands on a clock face to show these times /
- Recognise and name common 2-D shapes including rectangles, squares, circles and triangles
Phase 3 /
- count, read and write numbers to 100 in numerals;
- count in multiples of twos, fives and tens
- solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as
7 = - 9
- solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.
- recognise, find and name a half as one of two equal parts of an object, shape or quantity
- recognise, find and name a quarter as one of four equal parts of an object, shape or quantity.
- Compare, describe and solve practical problems for:
-measure and begin to record the following:
-lengths and heights
-mass/weight
-capacity and volume
-time (hours, minutes, seconds) /
- Recognise and name common 3-D shapes including cuboids, cubes, pyramidsand spheres.
- describe position, directions and movements, including half, quarter and three- quarter turns.
Year
2 / Numberand place value / Addition and subtraction / Multiplication and division / Fractions / Measurement / Geometry:
Properties of shape / Position and direction
FluencyReasoning
Problemsolving / use place value and numberfacts to solve problems / solve problems with addition and subtraction / solve problemsinvolving
multiplication and division, usingmaterials,arrays, repeated addition,mental methods, / solve simple problemsina practical contextinvolving
addition and subtraction of moneyof the same unit,
Phase 1 incyear 1 /
- count in steps of 2,from 0,and in tens fromany number,forwardor backward
- recognisetheplace value of each digitin a two-digit number (tens, ones)
- identify, represent and estimate numbers using differentrepresentations,including the numberline
- compare and order numbersfrom0 up to 100; use ,and =signs
- read and write numbers to atleast 100 in numerals
- solve problemswith addition and subtraction:
- using concrete objects and pictorial representations, including those involving numbers.
- applying theirincreasing knowledge of mental and written methods
- recall and use addition andsubtraction facts to 20 fluently.
- add and subtract numbers using concrete objects, pictorial representations, and mentally, including:
-a two-digit number and tens /
- recall and use multiplication and division facts for the 2, and 10 multiplication tables, including recognising odd and even numbers
- show that multiplication of two numbers can be done in any order (commutative)
- solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods,
- recognise, find,name and write fractions 1/3 and 1/4
- compare and order lengths,record the results using >,
and = - find differentcombinations of coins thatequal the same amounts ofmoney
- solve simple problems in a practical contextinvolving addition and subtraction of money of the same unit,
- compare and sequence intervals of time
- identify anddescribe the properties of 2-D shapes,
- including the number of sides and symmetry in a vertical line
- identify 2-D shapes on the surface of 3-D shapes,for example a circle on a cylinder and a triangle on a pyramid
- orderand arrange combinations of mathematical objects in patterns
Phase 2 /
- count in steps of 5 from 0 forward or backward
- read and write numbers to at least 100 in words
- use place value
- and number facts to solve problems.
- using concrete objects and pictorial representations, including those involving measures
- adding three one-digit numbers
- show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot
- Statistics: ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity
- recall and usemultiplication and division facts for the 5 multiplication table, including recognising odd and even numbers
- calculate mathematical
- recognise,, find, name and write fractions2/4 and 3/4 of alength, shape, set of objects or quantity
- choose and use appropriate standard units to estimateand measure length/height in any direction (m/cm);using rulers
- recognise and use symbolsforpounds (£)and pence (p);
- combine amounts to make a particularvalue
- solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change
- tell and write the time Including quarterpast/to the hour and draw the hands on a clockface to show these times.
- know the numberof minutes in an hourand the numberof hoursin a day
- identify and describe the properties of 3-D shapes, including the numberof edges, vertices and faces
- use mathematical vocabulary to describe position, direction and movement, including movement in a straight line
Phase3 /
- count in steps of 3 from 0
- using concreteobjects and pictorial representations, including those involving quantities
- recall and use addition and subtraction facts to 20 fluently,and derive and use related factsup to
- add and subtract numbers using concrete objects, pictorial representations, and mentally, including: two-digit numbers
- recognise and use the inverse relationship between addition and subtraction and use this to check calculations and missing number problems.
- statistics: interpretand construct simple pictograms, tally charts, block diagrams and simple tables
- statistics: ask and answer questions about totalling and comparing categoricaldata
- calculate mathematicalstatements for division within the multiplication tables and write them using division (÷)
- show that multiplication of two numberscan be done in any order (commutative)and division of one number by another cannot
- solve problemsinvolving multiplication and division facts, including problems in contexts.
- write simplefractions e.g.
2/4 and 1/2 /
- choose and use appropriate standard units toestimate and measure mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using scales thermometers and measuring vessels
- compare and order mass, volume/capacity and record the resultsusing , < and =
- tell and write the time to 5 minutes
- compare and sort common 2-D and 3-D shapes and everyday objects.
- distinguish between rotation as a turnand in termsof right angles for quarter, half and three- quarter turns (clockwise and anti- clockwise)
AssessmentModel: Fluency,Reasoning and ProblemSolvingVersion 4: November 2015
Year3 / Numberand place value / Addition and subtraction / Multiplication and division / Fractions / Measurement / Geometry: Propertiesof
shape
FluencyReasoning
Problemsolving / solvenumber problems and practical problems involvingtheseideas / solve problems,including missing number problems,using number facts,placevalue, and morecomplexaddition andsubtraction
Statistics
solveone-stepandtwo-stepquestionssuchas‘Howmanymore?’ and ‘Howmanyfewer?’ usingin- formationpresentedinscaledbar charts andpictogramsandtables. / solve problems,includingmissing number problems, involving multiplicationanddivision, includinginteger scalingproblems andcorrespondenceproblemsin whichn objectsareconnectedto m objects / solve problems that involve allofthe above.
Phase 1 incyear 2 / countfrom0in multiplesof 4;find10or 100moreor lessthana given number
recognise the place value ofeachdigitina three-digitnumber (hundreds,tens,ones)
identify,representand estimate numbers using differentrepresentations / addandsubtract numbersmentally, including:a three-digit number and ones
three-digitnumberand hundreds
estimate theanswer to a calculationanduse inverseoperationsto checkanswers
Statistics:
- Statistics: interpretand presentdatausing bar charts, pictogramsand tables
write andcalculate mathematicalstatementsfor multiplicationanddivisionusing themultiplicationtablesthatthey knowusingmental strategies / count upanddown intenths; recognise thattenths arisefrom dividing anobjectinto 10equal parts
recognise,findandwrite fraction ofadiscreteset ofobjects:unit fractions
compareandorderunitfractions, and fractionswith thesame denominators / measure,compare,addand subtract:lengths (m/cm/mm);mass(kg/g);volume/capacity(l/ ml)
measuretheperimeterofsimple 2-D shapes
addandsubtractamounts ofmoney
tellandwritethe timefromananalogueclock, and12-hour
usevocabularysuchasa.m./p.m.,morning, afternoon, noonandmidnight
Statistics:
- Statistics: interpretand presentdatausing barcharts, pictogramsand tables
3-D shapesusingmodelling materials;
identifyright angles,
identifyhorizontaland verticallines
Phase 2 / countfrom0inmultiplesof4, 50and100;
find10 or100more or less thanagiven number
compareandorder numbers upto1000
readandwrite numbersup to1000in numeralsandinwords / addandsubtract numbersmentally,
Includingathree-digit number and tens
addandsubtract numberswithup tothree digits, / recognise thattenths arisefrom dividing anobjectinto 10equal parts
and individingone-digit numbers or quantitiesby10
recogniseanduse fractionsas numbers:unitfractions
recogniseandshow, using diagrams, equivalentfractionswith smalldenominators
compareandorderunitfractions / measure, compare,add andsubtract:
lengths(m/cm/mm);mass(kg/g);volume/
capacity(l/ml)
measuretheperimeter ofsimple 2-D shapes
addandsubtractamounts ofmoneytogive change,using both£andpinpractical contexts
knowthenumber ofsecondsinaminute, year andleapyear / recogniseanglesasa propertyofshape
identifyright angles, recognisethat tworight anglesmakeahalf-turn,
Phase3 / Countfrom0inmultiples of 4,8, 50and100 / solve problems,including missing number problems,using number facts,placevalue, and morecomplexaddition andsubtraction / recall andusemultiplicationand division facts forthe4and8 multiplicationtables
write andcalculatemathematcalstatementsformultiplication anddivisionusing themultiplica- tiontablesthattheyknow,in- cludingfor two-digit numbers timesone-digit numbers, using mental / recognise,findandwrite fractions ofadiscreteset ofobjects:unit fractionsand non-unitfractionswithsmalldenominators
recogniseanduse fractionsas numbers:unitfractionsandnon-unit fractionswithsmall denominators
addandsubtractfractionswith the same denominator withinone
whole(e.g.5/7+1/7=6/7) / tellandwritethe timefromananalogueclock, including usingRomannumeralsfromIto XII, and12-hourand24-hour clocks
estimate andreadtimewithincreasing accuracytothe nearestminute;
record andcomparetime interms of seconds, minutes,hoursando’clock;
knowthenumber ofsecondsinaminuteand the number ofdays in eachmonth,year andleapyear
comparedurations ofevents,for exampleto calculatethetimetaken by particular events or tasks / draw2-D shapesandmake
3-D shapesusingmodelling materials;recognise3-D shapes indifferent orientationsanddescribe them
recogniseanglesasa
propertyofshape or a description ofaturn
identifyright angles, recognise thattworight
anglesmakeahalf-turn,three makethree quarters ofa
turn andfour a complete turn;
identifywhether
anglesaregreater thanor lessthanaright angle
identifyhorizontaland
verticallines andpairs of perpendicular and parallel lines.
Assessment Model Version 4_Nov 2015_(HF000009982852).docx
HampshireMathematicsTeamAssessmentModel -Fluency,Reasoning and ProblemSolvingVersion 4: November 2015
Year4 / Number and place value / Addition and subtraction / Multiplication and division / Fractions / Measurement / Geometry
Propertiesof shape / Position and
direction
FluencyReasoning
Problem solving / solve number and practical problems that involve all of the above and with increasingly large positive numbers / solveadditionand subtraction two-step problems incontexts, decidingwhich operations and methodstouseand why
Statistics
- solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.
- Solve problems involving increasingly harder factions tocalculatequantities, and fractions to divide quantities,
- includingnon-unitfractionswhere the answer isawholenumber
- solvesimplemeasure andmoney problemsinvolving fractionsand decimalsto two decimalplaces
converting fromhours to minutes;minutestoseconds; years tomonths;weeksto days
Statistics
- solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.
Phase 1 inc
Year 3 /
- Count in multiples of 25 and 1000
- find 1000 more or less than a given number
- recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
- identify, represent and estimate numbers using different representations
- round any number to the nearest 10, 100
- estimate and use inverseoperationsto checkanswerstoa calculation
- statistics: interpretand presentdiscreteand continuousdata usingappropriate graphicalmethods,including bar chartsandtime graphs
- useplacevalue,known and derivedfacts tomultiplyand dividementally
- recogniseandshow, usingdiagrams
- findtheeffect ofdividinga one- or two-digit number by10and100
- addandsubtractfractionswiththesame denominator
- rounddecimalswith onedecimalplaceto the nearestwholenumber
- measureandcalculate the perimeterofarectilinear figure(includingsquares) in centimetresandmetres
- estimate,compareand calculatedifferentmeasures, includingmoney in pounds andpence
- statistics: interpretand presentdiscreteand continuousdata usingappropriate graphicalmethods,including bar chartsandtime graphs
completeasimple symmetricfigurewith respecttoaspecificline of symmetry /
- describe positionsona 2-D gridas coordinatesin the first quadrant
Phase 2 /
- Count in multiples of 6, 25 and 1000
- count backwardsthroughzero to includenegative numbers
- order andcomparenumbers beyond1000
- roundanynumberto the nearest10, 100or 1000
- add and subtract numbers with up to 4 digits
- recall 2/3/4/5/6/8multiplication anddivision facts formultiplication tables
- useplacevalue,known and derivedfacts tomultiplyand dividementally,including:
multiplytwo-digit and three-digit numbersbya one-digitnumber /
- recogniseandshow, usingdiagrams, families of common equivalentfractions
- recognise thathundredths arisewhen dividing anobjectbyahundred and dividing tenthsbyten.
- findtheeffect ofdividinga one- or two-digit number by10and100,identifyingthe value of thedigitsinthe answer asones,tenths
- solvesimplemeasure andmoney problems involving fractions
- estimate, compareand calculate different measures,includingmoney in pounds and pence
- read,writeandconvert timebetweenanalogueand digital12 and24-hour clocks
- compareand classify geometricshapes, includingquadrilaterals based ontheir propertiesandsizes
- identifylinesof symmetryin2-D shapes presentedindifferent orientations
- describe movements between positionsas translationsofa given unitto the left/rightandup/ down
/ Phase 3 /
- readRomannumeralsto 100 (ItoC) andknowthat overtime, the numeralsystem changedto includetheconcept ofzero and placevalue.
- addandsubtract numberswithup to 4 digitsusingthe formalwritten methodsof columnar addition andsubtraction where appropriate
- multiplicationanddivisionfacts for multiplicationtablesupto12× 12
- useplacevalue,known andderived facts tomultiplyanddividementally,
- including:multiplying by0and1; dividingby1;multiplying together three numbers
- recogniseandusefactor pairsand
- commutativityinmentalcalculations
- multiplytwo-digit and three-digit numbersby a one-digitnumber usingformalwrittenlayout
- using the distributivelawtomultiply two digitnumbersbyonedigit, integer scalingproblemsandharder correspondenceproblemssuch as n objects are connected tom objects.
- count upanddown inhundredths
- recogniseandwrite decimalequivalentsof anynumber oftenthsor hundredths
- recogniseandwrite decimalequivalentsto 1/4; 1/2;3/4
- identifyingthevalueofthedigits inthe answer asones,tenthsand hundredths
- comparenumberswith thesamenumber of decimalplacesupto two decimalplaces
- solvesimplemeasure andmoney problems involving fractionsand decimals totwodecimalplaces.
- solve problems involving converting fromhours to minutes;minutesto seconds;years tomonths; weeks todays.
- estimate,compareand calculatedifferentmeasures, includingmoney in pounds andpence (repeat from Phase 1, 2 deeper level)
- compareand classifygeometric shapes,including quadrilateralsand triangles,basedon theirproperties and sizes
- identifyacuteand obtuseanglesand compareand order anglesuptotworight anglesbysize
- plot specified points and draw sides to complete a given polygon
Assessment Model_Y4_Version 4_Nov 2015_(HF000009982907).docx
HampshireMathematicsTeamAssessmentModel -Fluency,Reasoning and ProblemSolvingVersion 4: November 2015
Year5 / Number and place value / Addition and subtraction / Multiplication and division / Fractions / Measurement / Geometry
Propertiesof shape / Position and
direction
FluencyReasoning
Problem solving / solveadditionand subtractionmulti-step problemsincontexts, deciding which operationsand methods touseand why.
Statistics
solve comparison, sumand difference problemsusing informationpresented ina linegraph / Solve problems involving addition, subtraction, multiplication and divisionincluding usingtheir knowledge offactors andmultiples, squaresandcubes
solve problems involving addition,subtraction, multiplication and division andacombination of these, including understandingthemeaning of the equals sign
solve problems involvingmultiplication and division, includingscaling bysimplefractionsand problems involving simplerates. / solve problems involving number up tothree decimal places
solve problemswhich requireknowing percentage and decimal equivalents of1/2,1/4,1/5,2/5,4/5and those withadenominatorof amultipleof 10or25. / solve problemsinvolvingconverting between units of time
use allfour operations tosolveproblems involvingmeasure (e.g.length, mass,volume, money) using decimalnotation including scaling.
Statistics
solve comparison, sumand difference problemsusing informationpresented ina linegraph
Phase 1 / read,write, order and compare numbers to at least
1 000 000 and determine thevalue ofeachdigit
round any number upto1 000
000 tothe nearest
10,100, 1000,
10,000 and 100,000
solve number problemsand practicalproblems
thatinvolve allof the
above / use rounding to checkanswersto calculationsand determine, inthe contextofaproblem, levelsof accuracy
Statistics
- Statistics: complete,readand interpretinformationin tables,including timetables.
knowand usethe vocabulary of prime numbers
multiply anddivide numbers mentally drawing upon known facts
multiply anddivide wholenumbers and those involving decimalsby10,100
solve problemsinvolving addition,subtraction, multiplication and division / compare and orderfractions whose denominators are allmultiplesof thesame number
recognisemixed numbersand improper fractionsand convertfromoneformtothe otherand write mathematicalstatements1 asamixed number (e.g.
2/5+4/5=6/5=11/5)
add and subtract fractionswiththesamedenominator round decimals / convertbetween different unitsof metric measure (e.g. kilometreandmetre; centimetreandmetre; centimetreandmillimetre; gram andkilogram;litreandmillilitre)
measure andcalculatethe perimeter of composite rectilinearshapes in centimetresandmetres
calculate andcompare the area of rectangle (includingsquares) andincludingusing standard units, square centimetres(cm2) and squaremetres(m2) and estimatethe area of irregular shapes
solve problemsinvolvingconverting between units of time
Statistics
- Statistics: complete,readand interpretinformationin tables,including timetables.
knowanglesare measured indegrees: estimateand compare acute, obtuse andreflexangles
identify: angles at a point and one whole turn (total
360o)
Phase 2 / count forwards or backwardsin stepsofpowersof
10 for any given number upto
1,000,000
interpretnegative numbersincontext, count forwardsand backwardswith positive and
negative whole numbers through zero / add and subtract wholenumberswith morethan 4 digits, including using formalwritten methods (columnar addition and subtraction)
add and subtract numbers mentally with increasinglylarge numbers
solve problems involving addition, subtraction,
Statistics
statistics: solvecomparison, sumand difference problemsusing informationpresented ina linegraph / knowand usethe vocabulary of prime numbers, prime factors andcomposite (non-prime) numbers
multiply numbers up to4 digitsbya one- or two-digit number using
recogniseandusesquare numbers, and thenotation for squared (2)
multiplication and divisionandacombinationof these,includingunderstanding the meaningof the equalssign / identify,nameand write equivalentfractionsofagiven fraction, represented visually,includingtenthsand
hundredths
add and subtract fractionswiththesamedenominator
andmultiplesof thesamenumber
read and write decimalnumbersas fractions (e.g.
0.71 =71/100)
recogniseand usethousandthsand relate themto tenths,hundredthsand decimalequivalents
round decimalswith twodecimal places tothe nearest wholenumberand toone decimal place
recognisethe percent symbol(%) and understandthat per cent relates to“number of partsper hundred”,and write percentagesasafractionwith denominator hundred,and as a decimalfraction
solve problemswhich requireknowing percentage and decimal equivalents of1/2,1/4,1/5,2/5,4/5 / use allfour operations tosolveproblems involvingmeasure (e.g.length, mass,volume, money) using decimalnotation including scaling. / drawgiven angles, and
o
measurethemindegrees()
anglesat a pointon a straight lineand ½aturn (total180o)
othermultiples of 90o
Phase3 / read Roman numerals to 1000 (M) and recogniseyearswritten in Romannumerals. / solve addition and subtractionmulti- step problems in contexts, deciding which operations
andmethodstouse and why. / establish whether a number upto100 is prime and recallprimenumbersupto 19
multiply numbers up to4 digitsbya one- or two-digit number usinga formalwritten method, including long multiplication fortwo-digitnumbers
divide numbersupto4 digits by aone-digitnumber usingthe formalwrittenmethod of shortdivision and interpretremainders appropriatelyfor thecontext
multiply anddivide wholenumbers and those involving decimalsby10,100 and 1000
recogniseandusesquare numbersandcube numbers,andthe notationforsquared (2)and cubed(3) / multiply properfractions andmixed numbersby whole numbers, supported bymaterialsand diagrams
read,write,order and compare numberswith upto three decimalplaces
solve problems involving number up tothree decimal places
solve problemswhich requireknowing percentage and decimal equivalents of1/2,1/4,1/5,2/5,4/5and those withadenominatorof amultipleof 10or25. / understand and use equivalences between metricunits andcommon imperialunits such asinches,poundsand pints
estimatevolume (e.g.using 1cm3blocks to build cubesandcuboids) andcapacity (e.g. using water) / use theproperties of rectangles todeduce related facts and findmissinglengths and angles
distinguish between regular and irregular
polygonsbased onreasoning aboutequalsides and angles / identify, describe and represent the positionof ashape following a reflection or translation, using the appropriate language,and know
thattheshape has not changed.
Year 5 Assessment Model statistics amalgamated version 4_ Nov 2015(HF000009982937).docx