Mental Maths Expectations – Primary 5 P5 Quick Recall Children should be able to quickly recall: Multiplication facts for 2, 3, 4, 5, 6, 7, 8, 9, 10 times tables Division facts corresponding to tables of 2, 3, 4, 5, 6, 7, 8, 9 and 10 Mental Calculations Children should be able to calculate mentally: Add any two 2-digit numbers e.g. 47+79 Calculate what must be added to a 2-digit number to make 100 e.g. 47+?=100 Calculate what must be added to a 3-digit number to make the next multiple of 100 e.g. 752+?=800 Add and subtract multiples of 10, 100 and 1000 to/from 2, 3 and 4-digit numbers including bridging the 100 and 1000 e.g. 56+40 119+700 4652-400 Know the number before a multiple of 1000 e.g. 2999 is the number before 3000 Add/Subtract a single digit to/from any 3digit number e.g. 468+7, 873-8 Subtract any 4-digit number from any 4digit number when the difference is small e.g. 6002- 5991, 3641-3628 Double any whole number from 1 to 50 and find the corresponding halves e.g. Double 47 = 94 so half of 94 = 47 Mental Strategies Children should be able to develop and use appropriate strategies for mental calculations for example Count forwards and backwards in 1s, 10s and 100s Count in multiples of 10, 100 and 1000 Find a small difference by counting on e.g. 5003-4996 Identify near doubles using known doubles Add or subtract 99, 199, 299.... or 101, 201 ...to/from a given number with a total within 9999 by adding or subtracting the nearest multiple of 100 and adjusting by 1 e.g. 476+299 or 783-301 Calculate using the relationship between addition and subtraction Use known number facts and place value to add and subtract 2, 3 and 4 digit numbers Use doubling and halving starting from known facts Double/halve 2-digit numbers by doubling/halving tens first e.g. Double 73 = Double 70 + Double 3 Mental Maths Expectations – Primary 5 P5 Approximation and Estimation Round to the nearest 10, numbers between 1 and 1000 Round to the nearest 100, numbers between 1 and 1000 e.g. 162 to the nearest 10 is 160 162 to the nearest 100 is 200 Use approximation to estimation addition and subtraction answers before carrying out written calculations Mental Calculations Divide a multiple of 100 by 10 e.g. 700÷10 Multiply any 2-digit multiple of 10 by a single digit e.g. 90x6 70x8 Divide a 2-digit number by a single digit within the boundaries of table facts e.g. 56÷7, 67÷8 Calculate simple fractions of a 2-digit number 1 1 e.g. 6 of 48 5 of 35 ¼ of 36 Estimate in money calculations e.g. Two item @ £1.99 is approximately £4.00 Double any multiple of 5 to 100 e.g. 85x2 e.g. 61 – 32 is nearly 60 – 30 Mental Strategies Add and subtract simple fractions with same 1 3 7 3 denominator e.g. 5 + 5 8 – 8 Use doubling and halving starting from known facts - Double/halve 2-digit numbers by doubling/halving tens first - to multiply by 4 double then double again - to multiply by 5 multiply by 10 then halve - to multiply by 20 multiply by 10 then double - to multiply by 8 multiply by 4 and double - to multiply by 7 multiply by 5 and add doubles - to multiply by 9 multiply by 10 and subtract the original number - find quarters by halving halves Develop 6x table from x4 and x2 tables Use partitioning e.g. 36x4 = (30x4) + (6x4) Calculate the cost of simple shopping bills up to £20 Use the relationship between multiplication and division to calculate mentally Calculate change from £20 Use known number facts and place value to multiply and divide whole numbers including by 10 and 100 Count on to give change Mental Maths Expectations – Primary 5 Understanding the Number System Read, write and order numbers to 10000 and know the value of each digit Relate fractions to division Solve mathematical problems and puzzles and verbalise strategies. Explain patterns and relationships and predict Use all four operations to solve word problems including numbers and quantities in real life contexts, including time and measures, explaining methods and reasoning (in writing where appropriate) Written Recording and Calculation Strategies Develop strategy of approximating before any calculation Use pencil and paper to extend written methods of vertical addition and subtraction of ThHTU with decomposition within 9999 including money. ThHTU multiplied by a single digit with products within 9999 ThHTU divided by a single digit (without and with a remainder) Choose appropriate ways of calculating – mental, mental with jottings, pencil and paper to solve problems
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