Walkley Primary School - 2016 Calculation Policy Addition F1 Nursery F2 Reception Subtraction Multiplication Division Separates groups of 3 or 4 objects in different ways, knowing the total is the same. Language of bigger, more. See ACLIC-Amounts. Can recognise a change in amounts of objects. Language of less than, smaller. Understand ‘gone’. See ACLIC-Amounts. Separates objects into groups. Language of ‘lots’. See ACLIC-Amounts. Separates a group of three or four objects in different ways, knowing the total is the same. Beginning of sharing. See ACLIC-Amounts. Read - = + Adding 0-20 using objects Number bonds to 10 Count on to add Subtracting 1 digit from 0-20 using objects Count back to subtract Counting in lots of 10 and 2 Grouping objects as appropriate Halving, sharing of amounts, objects for 10s and 2s 2, 5, 10’s Arrays Repeated addition Inverse (practical shown by photos, drawing etc.) Introduce the symbols alongside language of groups of/lots of/multiplication/double etc. Share, lots of, groups, arrays Repeated subtraction 1 step problems using multiplication and division Partitioning and recombining numbers 0-100 Use x Division facts of 2, 5, 10 Use ÷ Recognising odd and even numbers Know that division is not commutative e.g. Y1 Read, write, interpret statements with + = Represent and interpret number bonds to 20 Partition and recombine 0-20 Solve missing number problems such as 7= - -9 Y2 Recall and use addition facts to 20 and related facts to 100 with partitioning and recombining. e.g. 38 + 44 = 8 + 4 = 12 30 + 40 = 70 70 + 12 = 82 Subtraction facts to 20. Subtract 1 and 2 digit numbers 0-20. Solve 1 step problems. Use of number line to subtract. Recall and use subtraction facts to 20 and related facts to 100. Use objects, pictures and mental calculation to subtract 2 digit and 1s, 2 digit and 10s, 2 2digits, using number lines e.g. e.g. 17 x 5 10 x 5 = 50 7 x 5 = 35 50 + 35 = 85 Commutative law- multiplication can be done in any order 8 x 3 = 24 3 x 8 = 24 24 3 = 8 24 8 = 3 Progress to number line where appropriate Use objects, pictures and mental calculation to add 2 digit and 1s, 2 digit and 10s, 2 2digits Begin to solve 2 step problems Y3 Add numbers up to 3 digits using column addition. Partitioning and recombining 3 digits. e.g. 382 +429 11 100 700 811 Mentally add a 3 digit number and 1s, 3 digit number and 10s, 3 digit number and 100s. Solve 2 step problems. Subtract numbers up to 3 digits using a number line e.g. Mentally subtract a 3 digit number and 1s, 3 digit number and 10s, 3 digit number and 100s 3x, 4x, 8x tables Factors of these grid method e.g. 84 x 3 = 252 80 4 x 240 12 3 = 252 Division facts for 3x, 4x, 8x Y4 Y5 Add numbers up to 4 digits using column method. e.g. 3727 +2194 11 110 800 5000 5921 4 digit partitioning and recombining. Solve 2 step problems. Subtract numbers up to 4 digits using a number line Solve 2 and 3 step problems. Add whole numbers with more than 4 digits using column addition with carrying digits. e.g. 53768 + 4471 Decomposition using column subtraction Times Tables up to 12x.-(6x,7x,9x,11x,12x) mentally multiplying 1 digit x 1digit x 1digit Multiply 2 x 1 digit, 2 x 2digit, 3 x 1 digit and 3 x 2 digit using the extended grid method e.g. 72 x 24 x 20 4 70 1400 280 + 1680 40 2 8 Use place value and known facts to multiply and divide up to 12 x tables (6x,7x,9x,11x,12x) Divide by 0 and 1 Using the chunking method e.g. + 48 = 8 120 600 1000 = 1728 Recognise and use factors of all multiplications Square numbers, cube numbers Multiply by 0 and 1 Formal written method used, extended grid method, Division facts for up to 12x tables Divide using decimals Divide numbers up to 4 digit by 1 digit using formal long division (chunking) for 2 digit numbers e.g. progress to long multiplication when appropriate 1 1 58239 x 4328 32 _____________________________________ 1 8656 2 129840 1 1 138496 Y6 Solve complex problems involving all operations. Column addition with carrying including decimals. e.g. £127.25 £321.41 + £48.62 1 1 Solve complex problems involving all operations. Column subtraction including mixed place value and decimals. Multiply 4 digits x 1 or 2 digits Using decimals All factor pairs of a number including common factors of 2 numbers. Prime numbers (identify to 100), recall primes to 19, prime factors and non-prime (composite) numbers. Use and recognise squared and cube numbers and use notation. Multiply 4 digit x2 digit x 4328 32 Division facts up to 12x tables Divide 4 digit by 2 digit using formal long division Division using decimals e.g. _____________________________________ 2 6 237.14 - 18.23 218.91 1 8656 2 129840 1 1 138496 £497.28 Identify common factors, common multiples and prime numbers Formal written method for long multiplication Building on Y5 Interpret remainders as whole number remainders, fractions or rounding dependent upon context.
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