# Wootton Wawen C.E. Primary School. A Guide to Mental Maths

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1 Wootton Wawen C.E. Primary School A Guide to Mental Maths

2 Why is it important that children recall maths facts? Calculators should not be used as a substitute for good written and mental arithmetic. (National Curriculum 2014.) Many parents might question why in today s society, with calculators and computers, children need to know addition, subtraction, multiplication and division facts. However, knowing mathematical facts is crucial to your child s progress in mathematics. When a child can quickly retrieve answers from memory without having to rely on counting procedures, such as counting on fingers, they are better equipped to solve more challenging problems. As you child gets older, much of the work they do in mathematics will require them to use number fractions, measures and data handling all require children being able to add, subtract, multiply or divide. Mental maths tests are part of the end of Key Stage tests. Learning number facts is best done with collaboration between the school, child and teacher. In school, we spend a lot of time teaching and practising the strategies for solving mental calculations. However, your child will be more successful at retaining these if they regularly practise at home.

3 Mental Maths Expectations The table below sets out the expectations for mental recall of facts for each year group based on the National Curriculum 2014 Year Addition and Subtraction Multiplication and Division EYFS Says which number is one more or one less than a given number to 20. Year 1 Identify one more one less than a given Count in 2s, 5s and 10s. number. Recall number bonds and related subtraction facts to 10 and 20 Year 2 Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: -a two-digit number and ones; -a two-digit number and tens two; -two-digit numbers; -adding three one-digit numbers. Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100. Year 3 Year 4 Year 5 Year 6 Add and subtract numbers mentally, including: -a three-digit number and ones; -a three-digit number and tens; - a three-digit number and hundreds. Solve calculation where the answers could exceed 100. Find 1000 more or less than a given number. Add and subtract numbers mentally with increasingly large numbers. Use increasingly large numbers to aid fluency (for example, = ). They mentally add and subtract tenths, and one-digit whole numbers and tenths. Perform mental calculations, including with mixed operations and large numbers. Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward. Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables. Count from 0 in multiples of 4, 8, 50 and 100. Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. Count in multiples of 6, 7, 9, 25 and Recall multiplication and division facts for multiplication tables up to Multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers. Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number. Use multiples of 2, 3, 4, 5, 8, 10, 50 and 100. Extend known facts to three-digit numbers to derive facts, (for example = 200 can be derived from 2 x 3 = 6). Multiply and divide numbers mentally drawing upon known facts They undertake mental calculations with increasingly large numbers and more complex calculations.

7 Resources On-line and published resources are useful for consolidating number facts and increasing the speed of recall. There are many free games available on the Internet. Just use the search engine to discover them. The Resources section of the Portal also has a great selection of games you can use. Some recommended web sites are: - this has a great quiz you can do each day and has been recommended by some of the children at our school. Some web sites will generate worksheets that you can print off for your child. There are also plenty of books you can buy.

8 1 Europe 1.1 Say the numbers 0 to 10 accurately 1.2 Say the numbers 0 to 20 accurately 1.3 Say 1 more than any number between Say 1 less than any number between Asia 2.1 Count in 2s to at least Count in 5s to at least Counts in 10s to at least Know by heart all number bonds up to Recall the doubles of all numbers to at least 10 3a North Africa 3a.1 Know by heart all number bonds that total 20 3a.2 Know by heart doubles of all numbers up to 20 3a.3 Know by heart all halves of numbers up to 20 3a.4 Know by heart all multiplication facts for 2 up to 2 x 10 3a.5 Know by heart all multiplication facts for 10 up to 10 x 10 3a.6 Know what is meant by odd and even numbers and can recognise them up to 100 3b South Africa 3b.1 Know by heart all bonds of multiples of 10 up to 100 3b.2 Know by heart all division facts for 2 up to 20 3b.3 Know by heart all multiplication facts for 5 up to 5 x 10 3b.4 Know by heart all division facts for 5 up to 50 3b.5 Know by heart all division facts for 10 up to 100 3b.6 Can round 2 digit numbers to the nearest 10 4a North Australia 4a.1 Know by heart all sums and difference of multiples of 10 up to 100 4a.2 Know by heart all multiplication facts for 3 up to 3 x 10 4a.3 Know by heart all multiplication facts for 4 up to 4 x 10 4a.4 Know by heart all multiplication facts for 6 up to 6 x 10 4a.5 Know by heart all multiplication facts for 8 up to 8 x 10 4a.6 Recognise multiples of 2, 5, 10 up to b South Australia 4b.1 Know by heart all number bonds that total 100 4b.2 Know by heart all division facts for 3 up to 30 4b.3 Know by heart all division facts for 4 up to 40 4b.4 Know by heart all division facts for 6 up to 60 4b.5 Know by heart all division facts for 8 up to 80 4b.6 Know what is meant by the signs < and > and use them to compare numbers 5 North America 5.1 Double any 2 digit number 5.2 Halve any 2 digit number 5.3 Know by heart all multiplication facts for 7 up to 7 x Know by heart all division facts for 7 up to Know by heart all multiplication facts for 9 up to 9 x Know by heart all division facts for 9 up to 90 6 South America 6.1 Double any number with up to 1 decimal place 6.2 Halve any number with up to 1 decimal place

9 6.3 Recall quickly multiplication facts up to 10 x 10 and use them to multiply pairs of multiples of 10 and 100 e.g. 30 x 70, 40 x Know the factors of all times tables answers up to 10 x 10 7 Globetrotters 7.1 Know by heart all the squares of numbers between 1 and Know by heart all squares of multiples of Recognise and recall factors of numbers up to 100 and corresponding multiples of Globetrotters Know by heart all multiplication facts for 11 up to 11 x Know by heart all division facts for 11 up to Know by heart all multiplication facts for 12 up to 12 x Know by heart all division facts for 12 up to Add any two 2-digit numbers (eg ) 8.6 Subtract any 2-digit number from a multiple of 10 (eg ) 9 Globetrotters Add any two numbers with up to 1 decimal place (eg. 5.6 and 7.8) 9.2 Subtract any two 2-digit number (eg ) 9.3 Multiply numbers with up to 2 decimal places by 10 and 100 (Eg. 5.8x10 or 2.76x100) 9.4 Recall quickly division facts for all tables to 12x12 and use them to divide multiples of 10 and 100 (e.g ) 9.5 Recall quickly division facts for all tables to 12x12 and use them to give remainders as whole numbers (e.g = 4 r 4) 10 Globetrotters Add pairs of numbers with 2 significant numbers (eg or ) 10.2 Give change from any whole pound (eg ) 10.3 Use double-double or partitioning to multiply any 2-digit number by 4 (eg. 34x4=136) 10.4 Use multiply by 10 and halve or partitioning to multiply any 2-digit number by 5 (eg. 46x5=230) 10.5 Halve even amounts of money (eg = 1.76) 11 Globetrotters Add negative numbers in a context such as temperature/money (eg or ) 11.2 Subtract negative numbers in a context such as temperature/money 11.3 Subtract any two numbers with up to 1 decimal place (eg ) 11.4 Give equivalent fractions (eg. 3/4 is the same as?/16) 11.5 Reduce fractions to their simplest form 12 Globetrotters Add pairs of 3-digit numbers (eg ) 12.2 Subtract any 2-digit number from a 3 or 4-digit number (eg ) 12.3 Find non-unit fraction values of whole numbers (eg. 3 / 5 of 30 ) 12.4 Find % values of whole numbers that are multiples of 10 or 5 (eg. 40% of 80 or 15% of 60)

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