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Transcript
The Penryn Partnership Mathematics Calculation Policy 2015 1 Contents Introduction ................................................................................................................................................................................... 3 Addition ......................................................................................................................................................................................... 4 Subtraction.................................................................................................................................................................................... 6 Multiplication ................................................................................................................................................................................. 8 Division ....................................................................................................................................................................................... 10 Progression Ladders………………………………………………………………………………………………………………………....12 Useful links/websites…..…………………………………………………………………………………………………………………….14 Acknowledgements .................................................................................................................................................................... .15 2 Introduction This Calculation policy has been adapted by the Penryn Partnership Maths team to be in line with the National Curriculum 2014. The overall aim is that as children progress through their respective Primary school and onto Penryn College they: have a secure knowledge of number facts and a good understanding of the four operations are able to use this knowledge and understanding to carry out calculations mentally and to apply general strategies when using single-digit and two-digit numbers and particular strategies to special cases involving bigger numbers make use of diagrams and informal notes to help record steps and partial answers when using mental methods have an efficient, reliable, compact written method of calculation for each operation, which they can apply with confidence when undertaking calculations use a calculator effectively, using their mental skills to monitor the process, check the steps involved and decide whether the numbers displayed make sense. know that they can discuss the mathematics, seek help and be able to use a variety of resources and understand how to use them are happy to share their ideas and to explain their reasoning and methods Mental calculation should be learned as part of using and applying Maths and is an integral part of developing thinking skills. It is crucial that mental methods of calculation are taught to children and not confined to starter activities in lessons. 3 PENRYN PRIMARY PARTNERSHIP - ADDITION GUIDELINES Foundation stage Begin to relate addition to combining two groups of objects • Make a record in pictures, words or symbols of addition activities already carried out. • Construct number sentences to go with practical activities • Use of games, songs and practical activities t o begin using vocabulary Solve simple word problems using their fingers Year One Year Two Year Three + = signs and missing numbers Children need to understand the concept of equality before using the ‘=’ sign. Calculations should be written either side of the equality sign so that the sign is not just interpreted as ‘the answer’. + = signs and missing numbers Continue using a range of equations as in Year 1 but with appropriate, larger numbers. Extend to 14 + 5 = 10 + and 32 + + = 100, 35 = 1 + + 5 + = signs and missing numbers Continue using a range of equations as in Year 1 and 2 but with appropriate, larger numbers. 2 = 1+ 1 2+3=4+1 3=3 2+2+2=4+2 Missing numbers need to be placed in all possible places. 3+4= 3+=7 +4=7 +=7 +10 =3+4 7=+4 7=3+ 7=+ 23 +2 35 33 Children use a numbered line to count on in ones. Children use number lines and practical resources to support calculation and teachers demonstrate the use of the number line. The steps in addition often bridge through a multiple of 10 e.g. 4 5 6 7 8 9 10 11 12 83 53 8 10 +30 +2 15 Add 9 or 11 by adding 10 and adjusting by 1 e.g.Add 9 by adding 10 and adjusting by 1 35 + 9 = 44 +10 35 44 78 +4 80 84 Pencil and paper procedures 83 + 42 = 125 either or 1. Vertical expansion Alongside other resources, bead strings or bead bars can be used to illustrate addition 8+2=10 Teachers demonstrate the use of the numberline. 89 Children need to be secure adding multiples of 10 to any twodigit number including those that are not multiples of 10. 48 + 36 = 84 48 7+ 4 1 2 3 +6 Children should be able to partition the 7 to relate adding the 2 and then the 5. 8 + 7 = 15 0 +30 Add a near multiple of 10 to a two-digit number Secure mental methods by using a number line to model the method. Continue as in Year 2 but with appropriate numbers e.g. 35 + 19 is the same as 35 + 20 – 1. The Empty Number Line: Partitioning and bridging through 10. The Number Line Can find one more to ten. Higher Ability/Gifted and Talented children progress to using a number line. They jump forwards along the number line using finger. Partition into tens and ones and recombine 12 + 23 = 10 + 2 + 20 + 3 = 30 + 5 = 35 Count on in tens and ones 23 + 12 = 23 + 10 + 2 = 33 + 2 = 35 Partition into tens and ones Partition both numbers and recombine. Count on by partitioning the second number only e.g. 36 + 53 = 53 + 30 + 6 = 83 + 6 = 89 45 -1 Bridging through ten can help children become more efficient. 83 + _42 5 120 125 2. Horizontal expansion 80 + 3 + 40 + 2 120 + 5 = 125 Calculate: HTU + U HTU + TU HTU + HTU Progress from no crossing of boundaries to crossing of a boundary. 4 PENRYN PRIMARY PARTNERSHIP - ADDITION GUIDELINES Year Four + = signs and missing numbers Continue using a range of equations as in Year 1 and 2 but with appropriate numbers. Partition into tens and ones and recombine Either partition both numbers and recombine or partition the second number only e.g. 55 + 37 = 55 + 30 + 7 = 85 + 7 = 92 +30 55 +7 92 85 Either partition both numbers and recombine or partition the second number only e.g. 358 + 73 = 358 + 70 + 3 = 428 + 3 = 431 +70 +3 428 358 431 Add the nearest multiple of 10, then adjust Continue as in Year 2 and 3 but with appropriate numbers e.g. 63 + 29 is the same as 63 + 30 - 1 Pencil and paper procedures 367 + 185 = 431 either 367 +185 12 140 400 552 or 300 + 60 + 7 100 + 80 + 5 400 +140+12 = 552 leading to 1367 + 1185 2552 11 Extend to decimals in the context of money. Use a calculator to work out one-step and two-step calculations, and interpret the display correctly in the context of money. In addition, use knowledge of rounding, number operations and inverses to estimate and check calculations. Year Five Year Six + = signs and missing numbers Continue using a range of equations as in Year 1 and 2 but with appropriate numbers. + = signs and missing numbers Continue using a range of equations as in Year 1 and 2 but with appropriate numbers. Partition into hundreds, tens and ones and recombine (see Y4) Partition into hundreds, tens, ones and decimal fractions and recombine Either partition both numbers and recombine or partition the second number only e.g. 35.8 + 7.3 = 35.8 + 7 + 0.3 = 42.8 + 0.3 = 43.1 Add or subtract the nearest multiple of 10 or 100, then adjust Continue as in Year 2, 3 and 4 but with appropriate numbers e.g. 458 + 79 = is the same as 458 + 80 - 1 Pencil and paper procedures Extend to numbers with at least four digits 3587 + 675 = 4262 3587 + 675 4262 111 Revert to expanded methods if the children experience any difficulty. Extend to up to two places of decimals (same number of decimals places) and adding several numbers (with different numbers of digits). 72.8 +54.6 127.4 1 1 Know that decimal points should line up under each other. 32.7 72.8 +54.6 160.1 112 Use a calculator to work out one-step and two-step calculations, and interpret the display correctly in the context of money. In addition, use knowledge of rounding, number operations and inverses to estimate and check calculations. 5 +7 35.8 +0.3 42.8 43.1 Add the nearest multiple of 10, 100 or 1000, then adjust Continue as in Year 2, 3, 4 and 5 but with appropriate numbers including extending to adding 0.9, 1.9, 2.9 etc Pencil and paper procedures Extend to numbers with any number of digits and decimals with 1, 2 and/or 3 decimal places. 13.86 + 9.481 = 23.341 13.86 + 9.481 23.341 1 1 1 Revert to expanded methods if the children experience any difficulty. Use a calculator to work out multi-step calculations, and interpret the display correctly in the context of money and other decimals. Use knowledge of rounding, number operations and inverses to estimate and check calculations. PENRYN PRIMARY PARTNERSHIP - SUBTRACTION GUIDELINES Foundation Stage Children begin to record in the context of play or practical activities and problems . to relate subtraction to ‘taking away’ • Make a record in pictures, words or symbols of subtraction activities already carried out • Use of games, songs and practical activities to begin using vocabulary • Construct number sentences to go with practical activities • Relate subtraction to taking away and counting how many objects are left. Begin Year One Year Two Year Three - = signs and missing numbers 7-3= =7-3 7-=4 4=-3 -3=4 4=7- -=4 4=- - = signs and missing numbers Continue using a range of equations as in Year 1 but with appropriate numbers. Find a small difference by counting up Extend to 14 + 5 = 20 - Understand subtraction as 'take away' Continue using a range of equations as in Year 1 and 2 but with appropriate numbers. Find a small difference by counting up 42 – 39 = 3 +1 - = signs and missing numbers Continue as in Year 2 but with appropriate numbers e.g. 102 – 97 = 5 Subtract mentally a ‘near multiple of 10’ to or from a twodigit number +2 Continue as in Year 2 but with appropriate numbers e.g. 78 – 49 is the same as 78 – 50 + 1 Find a 'difference' by counting up; 39 I have saved 5p. The socks that I want to buy cost 11p. How much more do I need in order to buy the socks? +6 40 42 Use known number facts and place value to subtract Subtract 9 or 11. Begin to add/subtract 19 or 21 35 – 9 = 26 Continue as in Year 2 but with appropriate numbers e.g.97 – 15 = 72 82 +1 0 Can find one less to ten. This should be introduced when tasks with physical objects have been mastered. 1 2 3 5 6 7 8 9 25 10 11 12 Use practical and informal written methods to support the subtraction of a one-digit number from a one digit or two-digit number and a multiple of 10 from a two-digit number. I have 11 toy cars. There are 5 cars too many to fit in the garage. How many cars fit in the garage? -5 Higher Ability/ Gifted and Talented Progression: Counting backwards along a number line using finger. 4 6 11 Use the vocabulary related to addition and subtraction and symbols to describe and record addition and subtraction number sentences Recording by - drawing jumps on prepared lines - constructing own lines Alongside other resources, bead strings or bead bars can be used to illustrate subtraction including bridging through ten by counting back 3 then counting back 2. 13-5=8 26 35 87 97 -5 -10 -10 Use known number facts and place value to subtract (partition second number only) 37 – 12 = 37 – 10 – 2 = 27 – 2 = 25 2 27 37 25 5 3 -10 3 -2 J Bridge D through 10 where necessary 32 5 - 17 5 15 20 22 With practice, children will need to record less information and decide whether to count back or forward. It is useful to ask children whether counting up or back is the more efficient for calculations such as 57 – 12, 86 – 77 or 43 – 28. Pencil and paper procedures Complementary addition 84 – 56 = 28 +20 +4 +4 32 56 60 80 84 -5 -2 -10 Counting on (finding a difference) modelled on a number line and with beads or cubes First in ones. TU – U = U TU – U = TU TU – TU = TU 15-12 1 2 3 6 Column subtraction can be introduced when ready, for Higher Ability children. e.g. 54 - 23 31 PENRYN PRIMARY PARTNERSHIP - SUBTRACTION GUIDELINES (- = signs and missing numbers: Continue using a range of equations as in Year 1 and 2 but with appropriate numbers.) Year Four Year Five Find a small difference by counting up e.g. 5003 – 4996 = 7 This can be modelled on an empty number line (see complementary addition below). Children should be encouraged to use known number facts to reduce the number of steps and consider which is the most efficient method depending on the problem. Subtract the nearest multiple of 10, then adjust. Continue as in Year 2 and 3 but with appropriate numbers. Use known number facts and place value to subtract 92 – 25 = 67 72 67 Find a difference by counting up e.g. 8006 – 2993 = 5013 This can be modelled on an empty number line (see complementary addition below). Subtract the nearest multiple of 10 or 100, then adjust. Continue as in Year 2, 3 and 4 but with appropriate numbers. Use known number facts and place value to subtract 6.1 – 2.4 = 3.7 4.1 3.7 6.1 92 -5 -20 -2 Complementary addition 754 – 286 = 468 Pencil and paper procedures Complementary addition 754 – 86 = 668 100 -0.01 754 Complementary addition can be introduced at this stage, depending on the pupils. 754 - 286 14 400 54 468 (300) (700) (754) Introduce simple decomposition TU by TU to those who have a confident grasp of place value. Introduce column subtraction: 874 96716 -523 - 59 351 917 300 700 754 OR Decomposition 14 (300) can be refined to 14 (300) 400 (700) 454 (754) 54 (754) 468 468 Reduce the number of steps to make the calculation more efficient. Extend to 2 places of decimals. Support where necessary with practical apparatus such as Deines cubes. Know that decimal points should line up under each other. Continue with the column subtraction method: 8912312 -457 475 2.9 -1.4 1.5 7 0.5 +54 +54 700 0.2 0.19 +400 +14 286 86 0.5 – 0.31 = 0.19 Pencil and paper procedures +600 Find a difference by counting up e.g. 8000 – 2785 = 5215 To make this method more efficient, the number of steps should be reduced to a minimum through children knowing: Complements to 1, involving decimals to two decimal places (0.16 + 0.84) Complements to 10, 100 and 100 Subtract the nearest multiple of 10, 100 or 1000,then adjust Continue as in Year 2, 3, 4 and 5 but with appropriate numbers. Use known number facts and place value to subtract -0.4 +14 Year Six -0.3 Pencil and paper procedures Complementary addition (extend to 4 digit numbers) 6467 – 2684 = 3783 16 (2700) can be refined to 316 (3000) 300 (3000) 3467 (6467) 3467 (6467) 3783 3783 Decomposition Extend to 2 decimal places and mixed place value. Continue with the column subtraction method: 9 9 45101013 - 1 6 7 483 6 Foundation stage Children begin to record in the context of play or practical activities and problems. Real life contexts and use of practical equipment to count in repeated groups of the same size: • Count in ones, twos, fives, tens PENRYN PRIMARY PARTNERSHIP - MULTIPLICATION GUIDELINES Year One Year Two Multiplication is related to doubling and counting groups of the same size. x = signs and missing numbers 7x2= =2x7 7 x = 14 14 = x 7 x 2 = 14 14 = 2 x x = 14 14 = x Year Three x = signs and missing numbers Continue using a range of equations as in Year 2 but with appropriate numbers. Arrays and repeated addition The commutative law of multiplication should be introduced at this stage. Also singing and chanting in 2s, 5s and 10s. Looking at columns 2+2+2 3 groups of 2 Looking at rows 3+3 2 groups of 3 Arrays and repeated addition Doubling multiples of 5 up to 50 4 x 2 or 4 + 4 2 x 4 or 2 + 2 + 2 + 2 35 x 2 = 70 Partition Counting in equal groups using a variety of practical resources Counting in 2s e.g. counting socks, shoes, animal’s legs… Counting in 5s e.g. counting fingers, fingers in gloves, toes… Counting in 10s e.g. fingers, toes… Introduce doubling and halving 0 1 2 3 4 5 6 7 X 30 5 2 60 10 = 70 8 Doubling multiples of 5 up to 50 15 x 2 = 30 Use known facts and place value to carry out simple multiplications Pictures / marks There are 3 sweets in one bag. How many sweets are there in 5 bags? Continue to understand multiplication as repeated addition and continue to use arrays (as in Year 2). Partition Use the same method as above (partitioning), e.g. Children need to be secure with partitioning numbers into 10s and 1s (including the vocabulary of tens and units) and partitioning in different ways: 6 = 5 + 1 so e.g. Double 6 is the same as double five add double one. x 3 32 x 3 = 96 30 90 2 6 = 96 AND double 15 10 + 5 To be able to recall 2 and 10 (and more able the 5 times table) by the end of year 1. 20 + 10 = 30 = 30 OR X 10 5 2 20 10 To be able to recall 2, 5 and 10 (and more able the 3 times table) by the end of year 2. 8 Progress to efficient written methods of short multiplication of two digit numbers by one digit number. e.g. 23 x3 ----9 (3 x 3) 60 (3 x 20) ----69 To be able to recall 3, 4, 6 and 8 (and more able the 9) times tables. Year Four PENRYN PRIMARY PARTNERSHIP - MULTIPLICATION GUIDELINES Year Five x = signs and missing numbers Continue using a range of equations as in Year 2 but with appropriate numbers Partition: 47 x 6 = 282 47 x 6 = (40 x 6) + (7 x 6) = 282 OR Partition Continue to use arrays: Year Six Partition: 87 x 6 = 522 87 x 6 = (80 x 6) + (7 x 6) = 522 or Use the grid method of multiplication (as below) Use the grid method of multiplication (as below) Pencil and paper procedures Grid method 72 x 38 is approximately 70 x 40 = 2800 (make an estimate FIRST) x 30 8 18 x 9 = 162 18 x 9 = (10 x 9) + (8 x 9) = 162 OR 70 2 2100 60 560 16 Use the grid method of multiplication (as below) x 20 3 7 140 21 = 161 Short multiplication extend into HTU x U Children should be taught to move towards the formal written method. HTU 332 X U x 3 Progress to efficient written methods of short multiplication of two digit numbers by one digit number. e.g. 332 x3 ----6 90 900 ----996 To recall all table facts up to 12 x 12 times tables. To multiply whole numbers by 10, 100 and 1000, and perform the inverse. Grid method 372 x 24 is approximately 400 x 20 = 8000 1 Short multiplication extend into THTU xU and TU x TU Could be taught alongside grid method so children can see why this method works: THTU XU TU x TU Introduce long multiplication for TU x TU (make an estimate FIRST) Extend to decimals with up to two decimal places, multiplying by U and then TU, ie 4.92 x 3 0.06 2.7 + 12 2160 576 + 2736 Pencil and paper procedures Grid method 23 x 7 is approximately 20 x 10 = 200 2100 + 60 = 2160 560 + 16 = 576 Pencil and paper procedures 14.76 Or Penryn College’s multiplication cycle: 3 x4.92 Answer: 14.76 X100 to remove the decimal 3x492 divide by 100 to adjust 1476 Long Multiplication 1 286 x 29 2574 (9 x 286 = 2574) 5720 (20 x 286 = 5720) 8294 1 (Please refer to Year 5 example of long multiplication) 2 To multiply whole numbers and decimals by 10, 100 and 1000. To recall all table facts up to 12 x 12 times tables. 9 Under 2014 Curriculum, pupils should be taught to multiply numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication. To recall all table facts up to 12 x 12 times tables. PENRYN PRIMARY PARTNERSHIP - DIVISION GUIDELINES Foundation Stage Children begin to record in the context of play or practical activities and problems. Share objects into equal groups Use related vocabulary Activities might include: Sharing of milk at break time Sharing sweets on a child’s birthday Sharing activities in the home corner * Count in tens/twos Separate a given number of objects into two groups (addition and subtraction objective in reception being preliminary to multiplication and division) Count in twos, tens How many times? How many are left/left over? Group Answer Right, wrong What could we try next? How did you work it out? Share out Half, halve Year One Sharing Requires secure counting skills - see counting and understanding number strand Develops importance of one-to-one correspondence Sharing – 6 sweets are shared between 2 people. How many do they have each? Practical activities involving sharing, distributing cards when playing a game, putting objects onto plates, into cups, hoops etc. Grouping Sorting objects into 2s / 3s/ 4s etc How many pairs of socks are there? Year Two ÷ = signs and missing numbers 6÷2= =6÷2 6÷=3 3=6 ÷ ÷2=3 3=÷2 ÷=3 3=÷ Grouping Link to counting and understanding number strand Count up to 100 objects by grouping them and counting in tens, fives or twos;… Find one half, one quarter and three quarters of shapes and sets of objects 6 2 can be modelled as: There are 6 strawberries. How many people can have 2 each? How many 2s make 6? ÷ = signs and missing numbers Continue using a range of equations as in Year 2 but with appropriate numbers. Understand division as sharing and grouping 18 ÷ 3 can be modelled as: Sharing – 18 shared between 3 (see Year 1 diagram) OR Grouping - How many 3s make 18? 0 3 6 9 12 15 18 6 2 can be modelled as: Remainders How many twos are in 6? How many twos can you take away from 6? 16 ÷ 3 = 5 r1 Sharing - 16 shared between 3, how many left over? Grouping – How many 3s make 16, how many left over? e.g. -2 There are 12 crocus bulbs. Plant 3 in each pot. How many pots are there? Jo has 12 Lego wheels. How many cars can she make? Year Three -2 -2 0 0 1 2 3 4 5 6 In the context of money count forwards and backwards using 2p, 5p and 10p coins Practical grouping e.g. in PE 12 children get into teams of 4 to play a game. How many teams are there? 10 3 6 9 12 15 16 Progress into written methods of Short Division TU divide by U (Please refer to example in Year 4) PENRYN PRIMARY PARTNERSHIP - DIVISION GUIDELINES Year Four Year Five ÷ = signs and missing numbers Continue using a range of equations as in Year 2 but with appropriate numbers. Sharing and Grouping Year Six Sharing and Grouping Continue to understand division as both sharing and grouping (repeated subtraction). Remainders 30 ÷ 6 can be modelled as: grouping – groups of 6 placed on no. line and the number of groups counted e.g. +6 0 +6 6 +6 12 +6 18 Quotients expressed as fractions or decimal fractions 61 ÷ 4 = 15 ¼ or 15.25 +6 24 +20 +40 10 groups 30 sharing – sharing among 6, the number given to each person Remainders 41 ÷ 4 = 10 r1 +40 +1 5 groups Pencil and paper procedures- Chunking 256 ÷ 7 lies between 210 7 = 30 and 280 7 = 40 (make an estimate FIRST) e.g. 256 = 210 + 46 210 ÷ 7 = 30 46 ÷ 7 = 6r4 30 + 6r4 = 36r4 10 groups 256 - 210 46 - 42 4 TU ÷ U = 72 ÷ 5 = - 72 50 (10 x 5) 22 20 (4 x 5) 2 - (30 groups) (6 groups) Write down how many times your divisor goes into the first number of the dividend. If there is a remainder, that's okay. Write down your remainder to the left of the next digit in the dividend. Continue. Repeat steps 1-3 until you are done. Answer: 36 remainder 4 Both methods (Chunking and Short Division) are necessary at this stage, to deal with the range of problems experienced at Year Six. Children should choose the appropriate method to suit the context. Where children have a secure understanding of the other methods then introduce long division HTU by TU and then THTU by TU. Also, Short Division for More Able Children Answer: 14 r 2 HTU ÷ U = 256 ÷ 7 = 256 70 (10 x 7) 186 140 (20 x 7) 46 42 (6 x 7) 4 Pencil and Paper procedures - Chunking 977 ÷ 36 is approximately 1000 40 = 25 e.g. 977 = 720 + 180 + 77 720 ÷ 36 = 20 180 ÷ 36 = 5 77 ÷ 36 = 2r5 20 + 5 + 2r5 = 27r5 OR 977 720 (20 groups) 257 - 180 (5 groups) 77 72 (2 groups) 5 Answer: 27 5/36 Pencil and Paper procedures- Short Division Method OR 41 = (10 x 4) + 1 - +1 Sharing, grouping and remainders as Year 5 Considering each column starting from the left. See Year Six for full explanation. 3 2 7 8 2 1 3 0 9 7 2 2 2 Answer: 36 r 4 Pencil and paper procedures- Chunking. For those with secure knowledge of division facts and place value introduce short division using simple numbers. 11 9 1 Progression Ladders based on Levels MENTAL CALCULATION Level 2 Pupil capability Sample questions to be done mentally I can use mental recall of addition and subtraction facts to 10 (a) 3 + 7 (b) 2 + 8 I can use place value to add or subtract multiples of 10 (a) 30 + 70 (b) 40 + 60 I can use mental calculation strategies to solve number problems including those involving money and measures (a) recall doubles to 10 + 10 and other significant doubles eg double 50p is 100p or £1 (b) use knowledge of doubles to derive corresponding halves (a) 7 + 9 (b) 14 – 8 I know all addition and subtraction facts up to 20 I know the 2,3,4, 5 and 10 times tables and can derive the related division facts 3 4 5 6 7 I can add and subtract near multiples of 10 to or from 2digit numbers (a) 36 + 19 (b) 67 - 29 I can add and subtract any pair of 2digit numbers (a) 34 + 57 (b) 72 – 28 I can find remainders after division What is the remainder when 38 is divided by 4? I can find the difference between numbers by counting through the next multiple of 10, 100 or 1000 I know all the tables up to 10 x 10 I can derive division facts from all the tables up to 10 x 10 2004 1993 I know the order of operations (BIDMAS) Calculate 5 + 3 x 2 I can do simple calculations involving fractions, decimals and percentages I can solve simple word problems Find (a) ¼ of 24 (b) 50% of £36 (c) 2.3 + 0.8 How many chews costing 6p each can I buy for £1.20? I can do simple calculations involving squares, square roots, cubes and cube roots What is (a) the cube of 5 (b) the square root of 400 I can solve simple problems involving ordering, adding and subtracting negative numbers in context I can calculate harder fractions and percentages If the temperature in London was 2ºC at 7pm and it fell by 5 ºC by midnight. What was the temperature at midnight? Calculate (a) 5/6 of 54 (b) 15% of £420 I can multiply decimals Find 1.2 x 0.07 I can divide decimals Find 4 ÷ 0.8 I can apply the rules of calculation to more complicated problems Given that 23 x 84 = 1932, what is 19.32 ÷ 2.3? I can solve more complicated logical problems Find 3 consecutive multiples of 4 that add up to 96. I can estimate calculations by rounding to 1 significant figure and multiplying and dividing mentally (29.4 x 46) ÷ 476 12 72 ÷ 8 Sign post to useful Links Creative star learning (I’m a teacher get me outside!) http://creativestarlearning.co.uk/training/maths-outdoors-course/ Singapore Maths http://www.thesingaporemaths.com/ Great Maths Teaching Ideas http://www.greatmathsteachingideas.com/ Snappy Maths http://www.snappymaths.com/ Hamilton Maths https://www.hamilton-trust.org.uk/ Stem Centre http://www.nationalstemcentre.org.uk/stem-in-context/mathematics Interactive teaching programmes http://www.taw.org.uk/lic/itp/ Tarsia Puzzles http://www.greatmathsteachingideas.com/tag/tarsia/ Kangaroo Maths http://www.kangaroomaths.com/index.php Testbase http://www.testbase.co.uk/sec/index.php Levelopeadia http://www.lancsngfl.ac.uk/secondary/math/index.php?category_id=735 Transum.org http://www.transum.org/ Mathematics Glossary for teachers in Key Stage 1 to 3 (in line with NC2014) http://hovinghammaths.primaryblogger.co.uk/files/2014/07/National-CurriculumGlossary.pdf My Maths http://www.mymaths.co.uk/ National Centre for Excellence in the Teaching of Mathematics https://www.ncetm.org.uk/ Nrich http://nrich.maths.org/frontpage Rising Stars http://www.risingstars-uk.com/all-categories/mathematics/ 13 Acknowledgements The Calculation policy was produced by the Penryn Partnership Maths Team in line with the 3 Year Penryn Partnership action plan 2013 – 2016. The Penryn Partnership Maths Team are: Richard Pascoe Penryn Junior School Joher Anjari Constantine Primary School Paul Hayes Mabe Community Primary School Heather Williams Mawnan Smith C of E VA Primary School Sonia Wilcox Flushing Primary School Charlie Blease Kennall Vale Primary School Rachel Heffer Perran-ar-worthal Primary School Andrew Martin Mylor Bridge Primary School Sharron Adams Penryn College Chrissy Hourigan Penryn College References and Sources The National Curriculum 2014 The National Numeracy Strategy The Renewed Primary Framework for Mathematics The Leicestershire Numeracy Team Whole School Written Calculation Policy The Falmouth learning Network Calculation policy 2009 Penryn Partnership Individual school’’s calculation policies 14