England National Curriculum: Mathematics
Standards
England KS3 Algebraequation, graph, algebra; solve, interpret, graph.England KS3 Algebraexpression, algebra; apply.England KS3 Algebrarate, sequence, algebra; describe, generate.England KS3 Geometry and measuresangle, similarity, congruence, geometry; construct.England KS3 Geometry and measuresvolume, shape, area, perimeter, surface area; calculate.England KS3 Geometry and measuresshape, coordinate, geometry; apply.England KS3 Numberinteger, fraction, decimal, percent, root; estimate.England KS3 Numberfactor, multiple, number; apply.England KS3 Numbernumber, integer, fraction, decimal, ratio; apply.England KS3 Probabilitytable, probability, data; describe.England KS3 Ratio, proportion and rates of changeproportion, equation, graph, reasoning, ratio; solve, graph.England KS3 Ratio, proportion and rates of changeratio; apply.England KS3 Ratio, proportion and rates of changepercent, ratio; solve.England KS3 Statisticsdata; interpret, compare, read, describe.England Y1 Addition and subtractionnumber; apply.England Y1 Addition and subtractionnumber, subtraction; represent.England Y1 Addition and subtractionnumber, addition, subtraction, equation; solve.England Y1 Fractionsshape; apply.England Y1 Geometry position direction turnsposition, direction, turns; describe, interpret.England Y1 Geometry recognize name 2d 3d2D shapes, 3D shapes, shape names; recognize, identify.England Y1 Measurement compare describe measure practicalmeasurement, length, mass, capacity, time; compare, describe, measure, record.England Y1 Measurement recognize coins notesmoney, coins, notes; recognize, identify.England Y1 Measurement sequence time tell hour halftime, dates, clocks; sequence, read, interpret.England Y1 Number add sub symbols statementsaddition, subtraction, equals sign; read, write, interpret.England Y1 Number add sub to 20addition, subtraction, within 20; calculate, represent.England Y1 Number count read write compare 100number notation, comparison, ordering; count, read, write, compare, order.England Y1 Number count to 100counting, number sequence, to 100; count, read.England Y1 Number half quarter object shape quantityhalves, quarters, fractions, equal parts; recognize, identify, partition.England Y1 Number multiples 2 5 10skip counting, multiples; count.England Y1 Number number and place valuenumber; identify.England Y1 Number number and place valuenumber; count.England Y1 Number number and place valuenumber, multiple; count, read, write.England Y1 Number number and place valuerepresent, compare, order; Number, Comparison, Order.England Y1 Number number bonds within 20number bonds, addition facts, subtraction facts; represent, recall, use.England Y1 Number one more one lessone more, one less, number sequence; identify, compare.England Y1 Number one step missing numberword problems, missing number, addition, subtraction; solve, model, represent.England Y1 Number one step mult div supportmultiplication, division, arrays, equal groups; solve, represent, model.England Y1 Number read write numbers to 20 wordsnumber names, numerals; read, write.England Y2 Addition and subtractionaddition, subtraction; apply.England Y2 Addition and subtractionnumber, addition, subtraction; solve.England Y2 Fractionslength, shape; write.England Y2 Fractionsnumber; apply.England Y2 Geometry movement rotation patternsposition, direction, rotation, patterns; describe, interpret, recognize.England Y2 Geometry position and directionpattern, order, geometry; order, describe.England Y2 Geometry shape properties 2d 3dshape properties, symmetry, vertices, faces; identify, describe, classify.England Y2 Measurementmeasurement; solve.England Y2 Measurement compare order measuremeasure comparison, ordering, standard units; compare, order, record.England Y2 Measurement measure units and toolsstandard units, measurement tools, estimation; select, estimate, measure.England Y2 Measurement money combinations changemoney, currency symbols, change; recognize, calculate, solve.England Y2 Measurement tell time five minutestime, five minutes, time intervals; read, write, compare.England Y2 Multiplication and divisionaddition, multiplication, division; calculate.England Y2 Multiplication and divisionmultiplication, division, table, time; apply.England Y2 Number add sub facts to 20 derive 100addition facts, subtraction facts, derived facts; recall, use, derive.England Y2 Number add sub two digit and three one digitaddition, subtraction, two digit numbers; calculate, represent, explain.England Y2 Number compare order to 100comparison, ordering, to 100; identify, represent, estimate, compare, order.England Y2 Number count steps and tensskip counting, multiples, counting sequence; count.England Y2 Number fractions shapes sets quantitiesfractions, thirds, quarters, sets; recognize, identify, write, represent.England Y2 Number inverse missing numberinverse operations, missing number, checking; use, solve, verify.England Y2 Number mult div facts 2 5 10multiplication facts, division facts, odd, even; recall, use, recognize.England Y2 Number mult div statements and arraysmultiplication, division, arrays, equations; calculate, represent, write.England Y2 Number number and place valuenumber, comparison, order; compare, order.England Y2 Number number and place valuenumber; count.England Y2 Number number and place valueplace value, number; apply.England Y2 Number place value two digitsplace value, tens, ones; recognize, decompose, represent.England Y2 Number read write to 100read, write; number names, numerals, to 100.England Y2 Number simple fraction equivalencefraction notation, equivalent fractions; write, recognize, explain.England Y2 Number solve mult div contextsmultiplication problems, division problems, equal groups; solve, model, calculate.England Y2 Statistics pictograms tally block tablespictograms, tally charts, tables, block diagrams; interpret, construct, represent.England Y2 Statistics simple data questionsdata questions, totals, comparison; interpret, compare, solve.England Y3 Addition and subtractionnumber; apply.England Y3 Addition and subtractionratio, addition, subtraction, operations; solve, estimate.England Y3 Fractionsfraction, order; compare, order.England Y3 Fractionsfraction; write.England Y3 Geometry angles lines 2d 3dangles, perpendicular, parallel, shape properties; recognize, identify, describe.England Y3 Geometry properties of shapesshape, model, geometry; model, draw.England Y3 Measurementshape, perimeter, measurement; measure.England Y3 Measurementratio, time, measurement; solve, write.England Y3 Measurement measure compare add sub unitsmeasurement, length, mass, capacity; measure, compare, calculate.England Y3 Measurement money add sub changemoney, change, currency; calculate, solve.England Y3 Measurement perimeter and area readinessperimeter, area, square units; measure, calculate, count.England Y3 Measurement tell time elapsedtime, elapsed time, clocks; read, write, calculate, compare.England Y3 Multiplication and divisionnumber, table, time; apply.England Y3 Multiplication and divisionmultiplication, division, reasoning; solve.England Y3 Number add sub missing problemsmissing number, addition, subtraction; solve, calculate, represent.England Y3 Number add sub same denominatorfraction addition, fraction subtraction, same denominator; calculate, represent.England Y3 Number add sub three digitsaddition, subtraction, three digit numbers; calculate, explain.England Y3 Number count compare to 1000skip counting, comparison, to 1000; count, compare, order.England Y3 Number fractions number lineequivalent fractions, number line, fractions; recognize, represent, compare.England Y3 Number multiply two digit by one digitcalculate, represent; multiplication, two digit by one digit.England Y3 Number number and place valuenumber, order, multiple; compare, order, count, read, write.England Y3 Number number and place valueidentify; Number, RoundingEngland Y3 Number place value three digitsplace value, hundreds, tens, ones; recognize, represent, decompose.England Y3 Number read write problem to 1000number notation, number problems, to 1000; read, write, solve.England Y3 Number recall tables 3 4 8multiplication facts, division facts; recall, use.England Y3 Number solve mult div missingmultiplication, division, missing number, scaling; solve, calculate, represent.England Y3 Number tenths and unit nonunittenths, unit fractions, non unit fractions; count, recognize, interpret.England Y3 Statistics bar charts pictograms tablesbar charts, pictograms, tables, data problems; interpret, represent, solve.England Y4 Addition and subtractionnumber; apply.England Y4 Fractionsfraction; apply.England Y4 Fractionsfraction; apply.England Y4 Fractions including decimalsdecimal; count.England Y4 Geometry classify shapes angles symmetryshape classification, angles, symmetry; compare, classify, identify.England Y4 Geometry coordinates first quadrantcoordinates, first quadrant, translation; describe, represent, graph.England Y4 Geometry position and directiongeometry; describe.England Y4 Measurementtime, money, measurement; solve.England Y4 Measurement convert units and moneyunit conversion, money, measurement; convert, estimate, calculate.England Y4 Measurement rectilinear area perimeterarea, perimeter, rectilinear figures; calculate, count, measure.England Y4 Multiplication and divisionplace value, multiplication, division; apply.England Y4 Multiplication and divisionapply; NumberEngland Y4 Number count negative and thousandsskip counting, negative numbers, multiples; count, interpret.England Y4 Number decimal tenths hundredths round comparedecimals, tenths, hundredths, rounding; recognize, write, compare, round.England Y4 Number factor pairs place value multiplyfactor pairs, multiplication, division, place value; calculate, use, explain.England Y4 Number formal add sub four digitsaddition, subtraction, formal methods; calculate, verify.England Y4 Number fraction of quantity comparefraction of quantity, fraction comparison; solve, compare, calculate.England Y4 Number hundredths equivalence add subhundredths, equivalent fractions, same denominator; recognize, calculate, represent.England Y4 Number number and place valuenumber, order, multiple; compare, order, count, read, write.England Y4 Number number and place valuenumber, rounding; count.England Y4 Number order compare 1000 pluscomparison, ordering, beyond 1000; order, compare, solve.England Y4 Number place value four digits roundplace value, rounding, four digit numbers; recognize, round, explain.England Y4 Number tables to 12multiplication facts, division facts, times tables; recall, use.England Y4 Statistics interpret present discrete continuousdiscrete data, continuous data, bar charts, time graphs; interpret, represent, solve.England Y5 Addition and subtractionnumber, whole number, rate; apply.England Y5 Decimals and percentagesfraction, decimal, percent, order, rounding; compare, order, read, write.England Y5 Fractionsfraction, order; compare, order, write, identify.England Y5 Fractionsnumber, whole number, fraction; apply.England Y5 Geometry angles polygons 3dangles, polygons, 3D shapes; identify, compare, draw, explain.England Y5 Geometry coordinates reflection translationcoordinates, reflection, translation; identify, describe, represent.England Y5 Geometry position and directiongeometry; represent, identify, describe.England Y5 Geometry properties of shapesshape, angle, geometry; measure, draw, identify.England Y5 Measurementvolume, capacity, area, perimeter, measurement; estimate, measure, distinguish.England Y5 Measurementconvert; MeasurementEngland Y5 Measurement area perimeter volumearea, perimeter, volume, compound shapes; measure, calculate, estimate.England Y5 Measurement convert metric imperial timemetric conversion, imperial units, time; convert, solve, calculate.England Y5 Multiplication and divisionnumber, factor, multiple; identify.England Y5 Multiplication and divisionnumber; apply.England Y5 Number decimals to thousandths round orderdecimals, thousandths, rounding; read, write, order, compare, round.England Y5 Number factors multiples primes squares cubesfactors, multiples, prime numbers, squares, cubes; identify, recognize, explain.England Y5 Number formal methods and propertiesfour operations, formal methods, multi step problems; calculate, solve, explain.England Y5 Number fraction multiply unit and quantitiesfraction multiplication, fraction of quantity, mixed numbers; calculate, solve, represent.England Y5 Number fractions equivalence compare add subfraction equivalence, mixed numbers, improper fractions, addition, subtraction; compare, order, convert, calculate.England Y5 Number number and place valuenumber, order; compare, order, read, write.England Y5 Number number and place valuenumber, rounding; interpret, contextualize.England Y5 Number numbers to millionlarge numbers, rounding, negative numbers; read, write, order, compare, round.England Y5 Number percent decimal fraction equivalencepercent, fractions, decimals, equivalence; recognize, convert, represent.England Y5 Statistics line graphs tables timetablesline graphs, tables, timetables, data problems; interpret, solve, compare.England Y6 Addition, subtraction, multiplication and divisionnumber, whole number, ratio, operations; apply.England Y6 Addition, subtraction, multiplication and divisionratio, operations, order, factor, multiple; order, contextualize.England Y6 Algebra expressions formulae sequencesalgebra, formulae, linear sequences, two unknowns; use, generate, describe, solve.England Y6 Decimals and percentagesfraction, decimal, percent; solve.England Y6 Fractionsnumber, whole number, fraction; compare.England Y6 Geometry angles circles netsangles, circles, nets, shape classification; draw, classify, calculate, construct.England Y6 Geometry coordinates four quadrants translation reflectioncoordinates, four quadrants, translation, reflection; describe, represent, graph.England Y6 Geometry properties of shapesshape, angle, geometry; draw, classify, describe.England Y6 Measurementvolume, area, perimeter, measurement; convert.England Y6 Measurement convert metric imperial area volumeunit conversion, area, volume; convert, calculate, solve.England Y6 Number decimal operations percentdecimals, percent, powers of ten; identify, calculate, convert, solve.England Y6 Number factors multiples primes order operationsfactors, multiples, primes, order of operations; use, calculate, identify.England Y6 Number formal methods long division multi stepfour operations, long division, multi step problems; calculate, solve, select.England Y6 Number fractions four operationsfraction operations, simplifying, comparison; calculate, compare, convert.England Y6 Number number and place valuenumber, order, rounding; compare, order, read, write.England Y6 Number numbers to 10 million round negativelarge numbers, rounding, negative numbers; read, write, order, compare, round.England Y6 Number ratio proportion scaleratio, proportion, scale factor; solve, represent, calculate.England Y6 Ratio and proportionshape, scale, factor, ratio; solve.England Y6 Statistics pie charts line graphs meanpie charts, line graphs, mean; interpret, construct, calculate.England Y7 Algebra KS3 algebra equations inequalitieslinear equations, inequalities, unknowns; solve, represent, justify.England Y7 Algebra KS3 algebra notation expressionsalgebraic notation, expressions, expansion, factorisation; interpret, calculate, write.England Y7 Algebra KS3 algebra sequences graphssequences, functions, graphs, coordinates; generate, recognize, graph, model.England Y7 Algebra KS3 algebra substitution formulaesubstitution, formulae, powers; calculate, interpret.England Y7 Geometry and measures KS3 geometry measure area volumeperimeter, area, surface area, volume, compound shapes; calculate, solve.England Y7 Geometry and measures KS3 geometry properties constructionshape properties, angles, circles, construction; derive, apply, construct, classify.England Y7 Geometry and measures KS3 geometry transform coordinatestransformations, coordinates, congruence, similarity; describe, represent, justify.England Y7 Number KS3 number factors primes powersprime numbers, factors, multiples, powers, roots; use, identify, calculate.England Y7 Number KS3 number operations fractions decimalsfour operations, fractions, decimals, integers; calculate, solve.England Y7 Number KS3 number place value decimal roundplace value, rounding, decimals, approximation; order, round, approximate, compare.England Y7 Number KS3 number standard form and unitsrepresent, convert, calculate; standard form, unit conversion, compound units.England Y7 Probability KS3 probability simple combined eventsprobability, combined events, probability scale; record, describe, analyze.England Y7 Ratio proportion rates KS3 ratio proportion percent scaleratio, proportion, percent, scale factor, unit rate; solve, represent, calculate.England Y7 Statistics KS3 statistics data distributionsstatistics, distributions, summary statistics; describe, interpret, compare, summarize.