Parents Guide to Calculation AIM HIGH ACADEMY TRUST NEWBOTTLE PRIMARY ACADEMY Parents Guide to Calculation September 2014

Core Numeracy - Basic Skills Overview Year Group Term Addition Multiplication Reception 1 1 + 1, 2 + 2 2 3 + 3, 4 + 4, 5 +5 3 1 = 2, 2 + 3 Multiples of 10 – counting Year 1 3 + 8, 3 + 7, 4 + 6 Multiples of 5 – counting 2 + 4, 2 + 5, 2 + 6, 2 + 7, 2 + 9, 3 + 4, 3 + 5, 3 + 6 6 + 6, 7 + 7, 8 + 8, 9 +9 Multiples of 2 – counting Year 2 3 + 8, 3 + 9, 4 + 7, 4 + 8, 4 + 9 X 10 Table 4 + 5, 5 + 6, 6 + 7, 7 + 8, 8 + 9 X 5 Table 5 + 9, 6 + 9, 7 + 9, 5 + 7 5 + 8, 6 + 8 X 2 Table Year 3 Fact Family Work X 3 Table X 4 Table X 8 Table Year 4 The 6 Fact Challenge 6 x 6, 6 x 7, 7 x 7, 9 x 6, 9 x 7, 9 x 9 X 11 Table X 12 Table

Fractions and Percentages Further examples

Teach the ‘teen’ number in isolation, include 11 and 12. Counting 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Remember to: Say the number names independently, in order, and from any starting point forwards and backwards. Teach the ‘teen’ number in isolation, include 11 and 12. Extend to counting objects, things and finally amounts and measures. Count in 2s, 5s, 10s and 25s. These special numbers open up the wider mathematics curriculum. NB: Extend to counting in fractions and decimals.

Include all numbers that are multiplied by zero equal zero. Tables Square X 1 2 3 4 5 6 7 8 9 10 11 12 14 16 18 20 22 24 15 21 27 30 33 36 28 32 40 44 48 25 35 45 50 55 60 42 54 66 72 49 56 63 70 77 84 64 80 88 96 81 90 99 108 100 110 120 121 132 144 Remember to: Include all numbers that are multiplied by zero equal zero. Multiples of 10 are vital to all mathematical learning. Learn the square (numbers multiplied by themselves – 6 x 6) and prime ( numbers that can only be divided by themselves and one – 13) that numbers. NB: Learn the equivalent Roman Numerals – I, II, III, IV, V, VI, VII, VIII, IX, X, XI, XII, XXX, XL, L, LX, LXX, LXXX, XC, C, D, M.

The 36 Multiplication - ‘Learn Its’ 11 and 12 times tables facts have not been included as core facts but they do need to be memorised as part of the statutory requirements. + 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 The 36 Multiplication - ‘Learn Its’ X 2 3 4 5 6 7 8 9 12 16 10 15 20 25 18 24 30 36 14 21 28 35 42 49 32 40 48 70 64 27 45 54 63 72 81 The 36 Addition - ‘Learn Its’ There 72 facts to learn which provide pupils with the skill so solve any calculation.

Fact Families Link calculations together to ensure progression and continuity and consistency. 7 7 7 x 8 =56 8 x 7 = 56 56 ÷ 8 = 7 56 ÷ 7= 8 7 + 8 =15 8 + 7 = 15 15 - 8 = 7 15 -7 = 8 + - x ÷ 8 8 7 apples + 8 apples =15 apples 8 grams + 7 grams = 15 grams 15 tens - 8 tens = 7 tens 15 tenths - 7 tenths= 8 tenths 7 tens x 8 tens =56 tens 8 tens x 7 tens= 56 tens 56 tens ÷ 8 tens = 7 tens 56 tens ÷ 7 tens= 8 tens

= < > ≤ ≥ Calculation Vocabulary equals Is the same as balance sign < Less than > Greater than ≤ Less than or equal to ≥ Greater than or equal to

Addition Vocabulary + Increase Total Add Addition Plus Altogether More Sum Count on

Subtraction Vocabulary Fewer Count back Subtract - Minus Difference between Less Take away

Multiplication Vocabulary Product Repeated addition Double X Lots of Times Multiply Groups of Multiple

÷ Division Vocabulary Divide Factor Groups Halve Share Quotient Divisor Remainder Equal groups of