Nelson Primary School Written Calculation Policy

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2 Addiin Fundain Y1 Y2 Children will engage in a wide variey f sngs, rhymes, games and aciviies. They will begin relae addiin cmbining w grups f bjecs. They will find ne mre han a given number. Cninue develp addiin skills hrugh he use f unifix cubes and base 10 apparaus. Children use number lines suppr cuning n. Begin recrd addiin using visual mahs = Children cninue develp prficiency in visual mahs calculae addiin invlving w digi numbers. + ( N crssing f ens) = Thrugh pracical aciviies and discussin hey will develp heir undersanding f he language assciaed wih addiin. Cuning n alng a number line = + (Crssing ens) 2 7 E.g. I have hree apples and yu have w apples hw many d we have algeher? Crssing ens = =

3 Addiin Y2 cn Empy number line cuning n in nes and ens. Adding w digi numbers using visual mahs. + = (n crssing ens) = 39 Add w r hree, hree digi numbers r hree w digi numbers. Visual mahs = (N crssing ens) h Y3 Addiin using expanded clumn mehd. Mving cmpac mehd (making ens) = = crssing ens Begin add like fracins using fracin bars e.g. 3 / / / 8 h h =

4 Clum addiin using up fur digi numbers. Addiin Y4 Y5 Y6 Use clumn addiin add w r hree whle numbers wih up 5 digis. Use clumn addiin add numbers wih up 5 digis Use clumn addiin add decimal numbers wih up 3 decimal places Mving cmpac Use clumn addiin add any pair f 2-place decimal numbers, including amuns f mney Begin add like fracins using fracin bars e.g. 3 / / / 8 Add mixed numbers and fracins wih differen denminars Be cnfiden wih fracins ha add 1 and fracin cmplemens 1 e.g. 2 / 3 + _ = 1 Begin add relaed fracins using equivalences e.g. 1 / / 6 = 3 / / 6 Chse he ms efficien mehd in any given siuain

5 Subracin Fundain Y1 Y2 Begin relae subracin aking away hrugh use f real life bjecs and mahs apparaus Children cninue develp subracin skills hrugh he use f unifix cubes and base 10 apparaus. Children cninue develp prficiency in visual mahs calculae subracin invlving w digi numbers. Make a recrd in picures, wrds r symbls f subracin aciviies already carried u Use f games, sngs and pracical aciviies begin using vcabulary Cnsruc number senences g wih pracical aciviies Relae subracin aking away and cuning hw many bjecs are lef. Children use number lines suppr cuning back. Children begin recrd subracin using visual mahs. 3-2 = 1 Find a 'difference' by cuning up; I have saved 5p. The scks ha I wan buy cs 11p. Hw much mre d I need in rder buy he scks? - (n brrwing) = - (breaking ens) 35-7= ( N crssing f ens) 29-4 =

6 Subracin Y3 Y4 Y5 Cninue develp cmpeence in subracin using visual numeracy subrac 3 digi numbers. Use expanded clumn subracin fr 3- and 4-digi numbers Use cmpac r expanded clumn subracin subrac numbers wih up 5 digis Begin develp cmpac mehd f subracin Use cmplemenary addiin fr subracins where he larger number is a muliple r near muliple f 1000 Mving in bridging ens When secure inrduce expanded wrien mehd Use cuning up as an infrmal wrien sraegy fr subracing pairs f 3-digi numbers e.g Begin subrac like fracins e.g. 7 / 8 3 / 8 Use cmplemenary addiin subrac amuns f mney, and fr subracins where he larger number is a near muliple f 1000 r 100 e.g Subrac like fracins e.g. 4 / 5 3 / 5 = 1 / 5 Use fracins ha add 1 find fracin cmplemens 1 e.g. 1 2 / 3 = 1 / 3 Use cmplemenary addiin fr subracins f decimal numbers wih up 2 places, including amuns f mney Begin subrac relaed fracins using equivalences e.g. 1 / 2 1 / 6 = 2 / 6 Chse he ms efficien mehd in any given siuain

7 Y6 Use clumn subracin subrac numbers wih up 6 digis Subracin Use cmplemenary addiin fr subracins where he larger number is a muliple r near muliple f 1000 r Use cmplemenary addiin fr subracins f decimal numbers wih up 3 places, including mney Subrac mixed numbers and fracins wih differen denminars

8 Real life cnexs and use f pracical equipmen cun in repeaed grups f he same size: Cun in ws; fives; ens Muliplicain Fundain Y1 Y2 Begin use visual and cncree arrays and ses f bjecs find answers hree ls f fur Cninue develp undersanding f muliplicain using cncree arrays, bjecs and drawing grups. Duble 7 Als chaning in 2s, 5s and 10s. 5 x 10 Begin recrd by drawing grups

9 Cninue recrd using grups recrding paerns using friendly numbers. 6 x 4 = Muliplicain Y3 Y4 Y4 Use grid muliplicain muliply 3-digi numbers by 1 digi numbers Use an efficien wrien mehd muliply a 2-digi number by a number beween 10 and 20 by pariining (grid mehd) 48 x 16 = Use a verical wrien mehd muliply a 1-digi number by a 3-digi number (ladder mehd) Use pariining (grid muliplicain) muliply 2-digi and 3-digi numbers by friendly 1-digi numbers 23x 4 =

10 Muliplicain Y5 Y6 Y6 Use shr muliplicain muliply a 1-digi number by a number wih up 4 digis 435 x 8 = Use shr muliplicain muliply a 1-digi number by a number wih up 4 digis Use shr muliplicain muliply a 1-digi number by a number wih 1 r 2 decimal places, including amuns f mney x Use lng muliplicain muliply 3-digi and 4-digi numbers by a number beween 11 and 20 Use lng muliplicain muliply a 2-digi number by a number wih up 4 digis Muliply fracins and mixed numbers by whle numbers Chse he ms efficien mehd in any given siuain. Begin muliply fracins and mixed numbers by whle numbers 10 e.g. 4 2 / 3 = 8 / 3 = 2 2 / 3 The grid mehd prvides a defaul fr all children.

11 Divisin Fundain Y1 Y2 Share cncree bjecs in equal grups Use relaed vcabulary Grups, share, equal, fair. Aciviies migh include: Sharing f milk a break ime Sharing swees n a child s birhday Sharing aciviies in he hme crner Cun in ens/ws Separae a given number f bjecs in w grups Gruping Using visual cncree bjecs invesigae quesins such as Hw many wers f hree cubes can I make wih 12 cubes? Sharing Begin find half f a quaniy by sharing. E.g. find half f 16 by repeaedly sharing 16 cubes beween w children. Cninue develp undersanding f divisin as gruping using cncree bjecs. Hw many wers f five cubes can I make frm weny cubes? (addiin and subracin bjecive in recepin being preliminary muliplicain and divisin) Begin recrd by drawing grups and sharing in grups = 2 in each grup Find half and a quarer by sharing. Find a quarer f 16 by sharing in fur grups.

12 Nelsn Primary Schl Divisin Wrien Calculain Plicy Y2 Y3 Y4 Find 1 / 2, 1 / 3, 1 / 4 and 3 / 4 f a quaniy f bjecs and f amuns (whle number answers) Perfrm divisins jus abve he 10h muliple using hriznal r verical jings and undersanding hw give a remainder as a whle number Use a wrien mehd divide a 2-digi r a 3-digi number by a 1-digi number Using imes able paerns = Recrd by sharing in grups. 12 4= X X X Find uni and nn-uni fracins f larger amuns 7 r 2 E.g. 7/8 f 56 = 7 x (56 8) = 48 X

13 Nelsn Primary Schl Divisin Wrien Calculain Plicy Y5 Y6 Use shr divisin divide a number wih up 4 digis by a number Use shr divisin divide a number wih up 4 digis by a 1-digi r a 2-digi number Give remainders as whle numbers r as fracins. Find nn-uni fracins f large amuns Use lng divisin divide 3-digi and 4-digi numbers by friendly 2-digi numbers 3/5 f 265 is 3 (265 5) = 159 Turn imprper fracins in mixed numbers and vice versa 13/10 = 1 3/10 Divide a 1-place r a 2-place decimal number by a number 12 using muliples f he divisrs e.g as (365 5) 100 = 0 73 Divide prper fracins by whle numbers