Add / Subtract Any Pair of 2-Digit Numbers, Including Crossing 100

Add / Subtract Any Pair of 2-Digit Numbers, Including Crossing 100

HELP Medium Term Maths Planning Overview Year 5 Medium Term Planning Autumn Term 1

Mental Maths / Read and write whole numbers 100 000
Count on/back in equal steps (e.g. 25, 100, 0.1, 0.2), including beyond zero.
Round any three or four digit number to the nearest 10 or 100.
Recall addition and subtraction facts for each number up to 20.

Add / subtract any pair of 2-digit numbers, including crossing 100.

/ Find pairs with sum of 100; derive multiples of 50 with a sum of 1000.
Double or halve any number up to 100.
Recall facts in x2, x3, x4, x5, x6, x10 tables and derive division facts.
Begin to recall facts in x7, x8 and x9 tables, squares to 10 x 10.

Multiply or divide whole numbers up to 10 000 by 10 or 100.

Date / Week / Topic / Curriculum Objectives
Placevalueto 1,000,000 / ●Toread, write,order andcompare numbersat leastto1,000,000 anddetermine the value ofeachdigit.
●Tocountforwards or backwardsinstepsofpowers of10 foranygivennumber up
to1,000,000.
Mentaladditionand subtraction / ●To add and subtractwhole numberswithmorethan4 digits, including using efficientwrittenmethods(columnaradditionandsubtraction).
●To add and subtract numbersmentallywithincreasinglylarge numbers.
●To solve additionandsubtractionmulti-stepproblems in contexts, deciding which operations andmethodsto useand why.
Factors of numbersandprime numbers / ●Toidentifymultiplesandfactors, including finding allfactor pairsofa number, and common factors oftwo numbers.
●Tomultiply and dividewhole numbersandthose involving decimals by10, 100 and
1000.
●To solveproblems involving multiplicationanddivisionwherelarger numbersare used by decomposing themintofactors.
●Toknow andusethe vocabularyofprime numbers, primefactorsand composite
(non-prime) numbers.
●Toestablishwhetheranumberupto100isprimeandrecallprimenumbersupto19.
Using multiplicationand division facts / ●Tomultiply and dividenumbersmentallydrawing uponknown facts.
●Tomultiply and dividewhole numbersandthose involving decimals by10, 100 and 1000.
●To solveproblems involving multiplicationanddivision, including scalingby simple fractions andproblemsinvolving simplerates.
Angles / ●Toknow anglesaremeasured indegrees; estimate andcompare acute, obtuse and reflex angles
●To draw givenangles, andmeasurethemindegrees (º).
●Toidentify:
●anglesata pointandonewholeturn (total360º)
●anglesata point onastraight line and1/2aturn(total180º)
●othermultiples of90º.
Length, perimeter and area / ●Toconvertbetweendifferentunitsofmeasure(forexample, kilometreandmetre; metre and centimetre; centimetre andmillimetre; kilogramandgram; litre andmillilitre).
●To understandanduseequivalencesbetweenmetric unitsandcommon imperialunits suchasinches, pounds andpints.
●To useallfouroperationstosolveproblems involving measure(e.g. length, mass,volume, money) using decimalnotation including scaling.
●Tomeasure andcalculatetheperimeterofcompositerectilinear shapes in
centimetresandmetres.
●Tocalculate andcomparetheareaof squaresandrectanglesincluding using standard units, squarecentimetres(cm2)andsquaremetres (m2)and estimatethe area of irregular shapes.
Assess and review / ● To assess and review the half-term’s work.

HELP Medium Term Maths Planning Overview Year 5 Medium Term Planning Autumn Term 2

Mental Maths / Read and write whole numbers to at least 100 000.
Count on/back in equal steps (e.g. 25,100,0.1), including zero.
Round any three- or four- digit number to the nearest 10 or 100.
Recall addition and subtraction facts for each number up to 20.

Add/subtract any pair of two-digit numbers, including crossing 100.

/ Double any whole number to 100 and multiples of 10 to 1000.
Recall facts in x2, x3, x4, x5, x6, x10 table, derive division facts.
Begin to recall multiplication facts in x7,x8 x9 tables. and squares to 10 x 10
Multiply or divide whole numbers up to 10 000 by 10 or 100.

Convert metres to centimetres and £ to pence, and vice versa.

Date / Week / Topic / Curriculum Objectives
Writtenmethods formultiplication / ●Tomultiply and dividewhole numbersandthose involving decimals by10, 100 and 1000.
●Tomultiply numbersupto4digitsbya one-ortwo-digit number using an efficient
writtenmethod, including long multiplication fortwo-digit numbers.
●To solve problems involving multiplicationanddivision, including scalingby simple fractions andproblemsinvolving simplerates.
Divide4-digit numbers / ●To dividenumbersupto4digits bya one-digit number using the efficientwritten method of shortdivisionand interpretremaindersappropriatelyforthe context.
●Tomultiply and dividenumbersmentallydrawing uponknown facts.
●To solve problems involving multiplicationanddivision, including scalingby simple fractions andproblemsinvolving simplerates.
Fractions and decimals: tenths and hundredths / ●Tocompare andorderfractionswhosedenominatorsare allmultiples ofthesame number.
●Toidentify, name andwriteequivalent fractionsofagivenfraction, represented
visually, including tenths and hundredths.
●Toread andwrite decimalnumbersas fractions(forexample, 0.71 = 71/100).
Decimals:tenths, hundredths, thousandths / ●Toread, write,order andcompare numberswithuptothree decimalplaces.
●Toread andwrite decimalnumbersas fractions(forexample, 0.71 = 71/100).
●Torounddecimalswithtwo decimalplacestothenearestwhole numbersandtoone decimalplace.
●Torecogniseand use thousandthsandrelatethemtotenths, hundredthsand
decimals equivalents.
●To solve problems involving number uptothree decimalplaces.
2Dand3Dshapes / ●To distinguish betweenregular andirregular polygons based on reasoningabout equalsidesandangles.
●To use theproperties ofrectanglesto deducerelatedfactsandfindmissing lengths and angles.
●Toidentify3D shapesincluding cubesand cuboidsfrom2Drepresentations.
Tablesandbar charts / ●Tocomplete, read andinterpretinformation intables, including timetables.
Assess and review / ● To assess and review the half-term’s work.

HELP Medium Term Maths Planning Overview Year 5 Medium Term Planning Spring Term 1

Mental Maths / Read and write whole numbers to at least 100 000.
Count on/back in equal steps (25,100, 0.1, 0.2) including beyond zero.
Round decimals to the nearest whole number.
Order fractions.
Recall addition and subtraction facts for each number up to 20.

Add/subtract any pair of two-digit numbers, including crossing 100.

/ Find pairs with sum of 100, multiples of 50 sum 1000, decimals sum 1, 10.
Use doubling to multiply two-digit numbers by 4.
Halve any two-digit number.
Recall facts in x2, x3, x4, x5, x6, x10 table; derive division facts.
Begin to recall facts in x7, x8, x9 tables and begin to derive facts.

Multiply or divide whole numbers up to 10000 by 10 or 100.

Date / Week / Topic / Curriculum Objectives
Negative numbers, andsolving problems involving numbers / ●Toread, write,order andcompare numbersat leastto1,000,000 anddetermine the value ofeachdigit.
●Tocountforwards or backwardsinstepsofpowers of10 foranygivennumber up
to1,000,000.
●Tointerpret negativenumbers in context, countforwards and backwardswith positive and negativewhole numbersthroughzero.
●Toroundany number upto1,000,000 tothenearest10, 100,1000, 10,000 and
100,000.
●To solve number problems and practicalproblemsthatinvolvealloftheabove.
Additionandsubtraction of
large numbersandmoney / ●To add and subtractwhole numberswithmorethan4 digits, including using efficientwrittenmethods(columnaradditionandsubtraction).
●To add and subtract numbersmentallywithincreasinglylarge numbers.
●To solve additionandsubtractionmulti-stepproblems in contexts, deciding which operations andmethodsto useand why.
●To userounding tocheck answers tocalculations and determine,inthecontextof aproblem, levelsof accuracy.
●To solve problems involving numbersuptothree decimalplaces.
Long multiplication, square numbers
and cube numbers / ●Tomultiply and dividenumbersmentallydrawing uponknown facts.
●Tomultiplyanddividewhole numbersandthose involving decimals by10, 100 and 1000.
●To solve problems involving multiplicationanddivision, including scalingby simple fractions andproblemsinvolving simplerates.
●Tomultiply numbersupto4digitsbyaone-ortwo-digit number using an efficientwritten method, including long multiplicationfortwo-digit numbers.
●Torecogniseand usesquare numbersand cubenumbers, andthenotation for squared (2)and cubed (3).
●Tocalculate andcomparetheareaof squaresandrectanglesincluding using standard units, squarecentimetres(cm2)andsquaremetres (m2)and estimatethe area of
irregular shapes.
Addingand
subtracting fractions / ●Torecognisemixednumbersandimproper fractions andconvertfromone formtothe other; writemathematicalstatements1asamixednumber: 2/5+4/5=6/5=
11/5.
●To add and subtractfractionswiththesame denominator andmultiplesofthesame number.
Reflections and translations / ●Toidentify,describeandrepresentthepositionofashapefollowingareflectionor translationusing theappropriatelanguage, andknow thattheshapehasnotchanged.
Mass / ●Toconvertbetweendifferentunitsofmeasure(kilometre andmetre; metre and centimetre; centimetre andmillimetre; kilogramandgram; litre andmillilitre).
●To understandanduse basicequivalencesbetweenmetric unitsand common
imperialunitssuchasinches, poundsandpints.
●To useallfouroperationstosolveproblems involving measure(e.g. length, mass,volume, money) using decimalnotation including scaling.
Assess and review / ● To assess and review the half-term’s work.

HELP Medium Term Maths Planning Overview Year 5 Medium Term Planning Spring Term 2

Mental Maths / Read and write whole numbers to at least 100000.
Order a set of positive and negative whole numbers. Order fractions
Round decimals to the nearest whole number.
Recall addition and subtraction facts for each number up to 20.

Add / subtract any pair of two-digit numbers, including crossing 100.

/ Use doubling to multiply two-digit numbers by 4. Halve any two-digit number.
Recall facts in x2, x3, x4, x5, x6, x10 tables; derive division facts.
Recall facts in x7, x8, x9 tables, and begin to derive division facts.
Multiply or divide whole numbers up to 10 000 by 10 or 100.

Convert m to cm and £ to pence, and vice versa; convert kg to g.

Date / Week / Topic / Curriculum Objectives
Additionand subtraction:
mentalandwrittenmethods
forlarge numbers / ●To add and subtractwhole numberswithmorethan4 digits, including using efficientwrittenmethods(columnaradditionandsubtraction).
●To add and subtract numbersmentallywithincreasinglylarge numbers.
●To solve additionandsubtractionmulti-stepproblems in contexts, deciding which operations andmethodsto useand why.
●To userounding tocheck answers tocalculations and determine, inthecontextof aproblem, levelsof accuracy.
Multiplicationanddivision: writtenmethods / ●Tomultiply and dividewhole numbersandthose involving decimals by10, 100 and 1000.
●Tomultiply numbersupto4digitsbyaone-ortwo-digit number using an efficient writtenmethod, including long multiplication fortwo-digit numbers.
●To dividenumbersupto4digits bya one-digit number using the efficientwritten method of shortdivisionand interpretremaindersappropriatelyforthe context.
●To solve problems involving addition, subtraction, multiplicationanddivisionanda combination ofthese, including understanding themeaning ofthe equalssign.
Calculating withfractions / ●Torecognisemixednumbersandimproper fractions andconvertfromone formtothe other; writemathematicalstatements1asamixednumber: 2/5+4/5=6/5=
11/5.
●To add and subtractfractionswiththesame denominator andmultiplesofthe same number.
●Tomultiply proper fractions andmixednumbers bywhole numbers, supported by materialsanddiagrams.
Percentages / ●Torecognisethepercentsymbol(%)andunderstandthatpercentrelatesto “numberofpartsperhundred”,andwritepercentagesasafractionwith denominator hundred, andasa decimalfraction.
Capacity / ●Toconvertbetweendifferentunitsofmeasure(kilometre andmetre; metre and centimetre; centimetre andmillimetre; kilogramandgram; litre andmillilitre).
●To understandanduse basicequivalencesbetweenmetric unitsand common imperialunitssuchasinches, poundsandpints.
●Toestimatevolume andcapacity
●To useallfouroperationstosolveproblems involving measure(e.g. length, mass, volume, money) using decimalnotation including scaling
Linegraphs/ comparativegraphs / ●To solvecomparison, sum and difference problemsusing informationpresented inaline graph.
Assess and review / ● To assess and review the half-term’s work.

HELP Medium Term Maths Planning Overview Year 5 Medium Term Planning Summer Term 1

Mental Maths / Read and write any whole number; round to nearest 10 or 100.
Order positive and negative whole numbers; order fractions.
Round decimals to nearest whole number.
Know simple fractions as percentages.
Recall addition and subtraction facts for each number up to 20.

Add / subtract any pair of two-digit numbers, including crossing 100.

/ Find pairs with sum of 100, multiples of 50 sum 1000, decimals sum 1, 10.
Use doubling and halving to multiply or divide two-digit numbers by 4.
Recall facts in x2, x3, x4, x5, x6, x10 tables; derive division facts.
Recall facts in x7, x8, x9 tables, and begin to derive division facts.
Multiply or divide whole numbers up to 10 000 by 10 or 100.

Partition to multiply by 2, 5 or 10, and use tests of divisibility.

Date / Week / Topic / Curriculum Objectives
Negative numbersand Roman numerals / ●Tocount forwards or backwardsinstepsofpowers of10 foranygivennumber up to1,000,000.
●Tointerpret negativenumbers in context, countforwards and backwardswith
positive and negativewhole numbersthroughzero.
●Toroundany number upto1,000,000 to thenearest10, 100,1000, 10,000 and
100,000.
●To solve number problemsandpracticalproblemsthatinvolvealloftheabove.
●Toread numeralsto1000 (M) andrecogniseyearswrittenin Roman numerals.
Adding and subtracting large andsmall numbers / ●To add and subtractwhole numberswithmorethan4 digits, including using efficientwrittenmethods(columnaradditionandsubtraction).
●To add and subtract numbersmentallywithincreasinglylarge numbers.
●To solve additionandsubtractionmulti-stepproblems in contexts, deciding which operations andmethodsto useand why.
●To userounding tocheck answers tocalculations and determine, inthecontextof
aproblem, levelsof accuracy.
●To solve problems involving numbersuptothree decimal places.
Long multiplicationand divisionwith remainders / ●Tomultiply numbersupto4digitsbyaone-ortwo-digit number using an efficientwritten method, including long multiplicationfortwo-digit numbers.
●To dividenumbersupto4digits bya one-digit number using the efficientwritten method of shortdivisionand interpretremaindersappropriatelyforthe context.
●To solve problems involving addition, subtraction, multiplicationanddivisionanda combination ofthese, including understanding themeaning ofthe equalssign.
Working with fractions / ●Torecognisemixednumbersandimproper fractions andconvertfromone formtotheother; writemathematicalstatements1asamixednumber: 2/5+4/5=6/5=
11/5.
●To add and subtractfractionswiththesame denominator andmultiplesofthesame number.
Diagonalsandproblems involving angles / ●Toknow anglesaremeasured indegrees; estimate andcompare acute, obtuse andreflex angles
●To draw givenangles, andmeasurethemindegrees (º).
●Toidentify:
●anglesata pointandonewholeturn (total360º)
●anglesata point onastraightline and1/2aturn(total180º)
●othermultiplesof90º.
●To use theproperties ofarectangleto deducerelated factsandfind missing lengths and angles.
●To distinguish betweenregular andirregular polygons based on reasoningabout equalsides andangles.
Volume, time andmoney / ●Toestimatevolume(e.g. using 1 cm3blocksto build cubesand cuboids) and capacity (e.g. using water).
●To useallfouroperationstosolveproblems involving measure(e.g. length, mass,volume, money) using decimalnotation including scaling
●To solve problems involving converting betweenunitsoftime.
Assess and review / ● To assess and review the half-term’s work.

HELP Medium Term Maths Planning Overview Year 5 Medium Term Planning Summer Term 2

Mental Maths / Read and write any whole number; round to nearest 10 or 100.
Order positive and negative whole numbers; order fractions.
Order decimals with the same number of decimal places.
Know simple fractions as percentages/ decimals.
Find simple percentages.

Add/subtract any pair of two-digit numbers, including crossing 100.

/ Find pairs with sum of 100, multiples of 50 sum 1000, decimals sum 1, 10.
Use doubling and halving to multiply or divide two-digit numbers by 4.
Recall multiplication facts to 10 x 10 and derive all division facts.
Identify pairs of factors of small two-digit numbers.
Multiply or divide whole numbers up to 10 000 by 10 or 100.
Partition to multiply by 2,3,5 or 10, and use tests of divisibility.

Convert £ to pence, m to cm, km to m, kg to g and litres to millilitres.

Date / Week / Topic / Curriculum Objectives
Additionandsubtraction ofmoney / ●To add and subtractwhole numberswithmorethan4 digits, including using efficientwrittenmethods(columnaradditionandsubtraction).
●To add and subtract numbersmentallywithincreasinglylarge numbers.
●To solve additionandsubtractionmulti-stepproblems in contexts, deciding which operations andmethodsto useand why.
Multiplicationand divisionofmoney / ●Tomultiply numbersupto4digitsbyaone-ortwo-digit number using an efficient writtenmethod, including long multiplication fortwo-digit numbers.
●Tomultiply and dividenumbersmentallydrawing uponknown facts.
●Toidentifymultiplesandfactors, including finding allfactor pairsofa number, and common factors oftwo numbers.
●To solve problems involving multiplicationanddivisionwherelarger numbersare used
by decomposing themintofactors.
●Tosolve problems involving addition, subtraction, multiplicationanddivisionanda combination ofthese, including understanding themeaning ofthe equalssign.
Decimalsand fractions / ●Toread, write,order andcompare numberswithuptothree decimalplaces.
●Toread andwrite decimalnumbersas fractions(forexample, 0.71 = 71/100).
●Torecogniseand use thousandthsandrelatethemtotenths, hundredthsand decimals equivalents.
●Torounddecimalswithtwo decimalplacestothenearestwhole numbersandtoone
decimalplace.
Problems involving percentages / ●Torecognisethepercentsymbol(%)andunderstandthatpercentrelatesto “numberofpartsperhundred”,andwritepercentagesasafractionwith denominator hundred, andasa decimalfraction.
●To solve problemswhich requireknowing percentage and decimal equivalents of
1/2, 1/4,1/5, 4/5andthosewithadenominatorofamultipleof 10 or25.
Perimeter, areaandscale drawing / ●Tomeasure andcalculatetheperimeterofcompositerectilinear shapes in centimetresandmetres.
●Tocalculate andcomparetheareaof squaresandrectanglesincluding using standardunits, squarecentimetres (cm2)andsquaremetres(m2) and estimatethe area ofirregular shapes.
●To solve problems involving multiplicationanddivision, including scalingby simple fractions andproblemsinvolving simplerates.
Using tables, and linegraphs / ●Tocomplete, read andinterpretinformation intables, including timetables.
●To solvecomparison, sum and difference problemsusing informationpresented inaline graph.
Additionandsubtraction ofmoney / ●To add and subtractwhole numberswithmorethan4 digits, including using efficientwrittenmethods(columnaradditionandsubtraction).
●To add and subtract numbersmentallywithincreasinglylarge numbers.
●To solve additionandsubtractionmulti-stepproblems in contexts, deciding which operations andmethodsto useand why.
Assess and review / ● To assess and review the half-term’s work.