Longfield Primary School Numeracy Passports Mrs Claire Searle Maths and Key Stage 1 Leader 23.10.13

What are Numeracy Passports? A way of putting mental maths at the heart of maths teaching and learning. Competitive and enjoyable way of promoting children’s understanding of their mathematical learning. Children progress through basic number skills which are linked to particular continents. Once one continent is completed, the child’s progress is celebrated and they travel to the next continent to work on targets with greater challenge. Children are competing against themselves and their learning and understanding, not against other children. The challenge for each child is to constantly improve and become faster at mental maths.

Why have Numeracy Passports? In reading, the whole point of being able to do the basics – read the words - is to understand what you have read. You can’t say you can read unless you understand the words you have read as a whole text. In maths, the important part is to be able to use the basic skills – number bonds, multiplication tables, halving, doubling -- in problem solving and real life applications. If you want to know what is the best value in the supermarket, you need to be able to work out the price per 100g of a product when it comes in different sizes. Or you want to buy 4 plane tickets at £160 each. Do we really want our children to have to get out a calculator or use paper and pencil for a simple calculation? How would you work this out?

What is the cost of 4 plane tickets at £160 each? Method 1 Use times tables 4 x 100 = 400 4 x 6 = 24 so 4 x 60 is 240 400 + 240 = £640. Method 2 Use doubling Double 16 is 32, double 32 is 64. So double 160 is 320, double 320 is £640. It doesn’t matter which way you work it out, as long as you know what to do and can work it out quickly.

Key Stage 1 SATs – Year 2 SATs for Year 2 seem to be here to stay. The new revised National Curriculum has raised the standards to a certain extent. If a child can do all the skills on Africa, they will find it easier to get a good level 2. If they can do all the skills on Australasia, they will find it easier to achieve level 3. SATs include other aspects of maths; shape and space, measure, data handling and problem solving. But knowing these key skills instantly will give your child a head start in being able to apply them.

Year 6 SATs also seem to be here to stay. 2 written papers – new for 2014, neither paper will allow the use of a calculator. Emphasis is on written and mental methods. Children will need to be able to do quite complex calculations with several steps under timed conditions. mental maths paper – need almost instant recall of basic maths skills. 5 seconds, 10 seconds and 15 second questions.

Testing in school. How would you do? Copy down the numbers on the screen onto your grid. We are going to do the 7 times table. You have 30 seconds. Where it says eg 3, you write the answer to 3 x 7. Don’t write the calculation. If you finish all 10 within 30 seconds, write down how many seconds you have left.

Passports are based on the continents of the world. There are currently 7 – we may add another for those that finish all 7. Europe Asia Africa Australasia North America South America Globetrotter

Europe Count up to 10 objects. Date achieved Count up to 10 objects. Select the correct numeral to represent a group of objects up to 10. Say the numbers up to 20 accurately. Order numbers 1-20. Say which number is one more than any number up to 20. Say which number is one less than any number up to 20.

How many cakes on the plate? Can you put out the spoons for 5 people? Stage 1 Europe Examples Can your child answer these questions? Count up to 10 objects. How many cakes on the plate? Can you put out the spoons for 5 people? Select the correct numeral to represent a group of objects up to 10. What number is this? How many cars do we need to go with it? How many pennies are here? What number do you need to show all these pennies? Say the numbers up to 20 accurately. Forwards and backwards, starting on any number from 0 to 20. Start at 6 and count on until you get to 14. Start at 11 and count on to 20. Can you count backwards from 18 to 8? Order numbers 1-20. Put these 5 numbers in order 18 5 12 9 15 Look at these numbers 1-20. Which number(s) is (are) missing? Say which number is one more than any number up to 20. 1 more than 4 is 5. 1 more than 17 is 18. There are seven beads in this pot. If I put one more in the pot how many will there be? Say which number is one less than any number up to 20. 1 less than 12 is 11. 1 less than 6 is 5. There are twelve pennies in my purse. If I spend one, how many will there be?

2. Asia Count in 2s up to 20. Count in 5s up to 50. Date achieved Date achieved Count in 2s up to 20. Count in 5s up to 50. Count in 10s up to 100. Know by heart all number bonds for 10. Know by heart all addition and subtraction facts for each number up to 5. Recall the doubles of all numbers to at least ten. Recognise odd and even numbers up to 30.

How far can you count in twos? Stage 2 Asia Examples Can your child answer these questions? Count in 2s up to 20 How far can you count in twos? What number would follow in this sequence: 6,8,10,12….? How far can you continue the sequence? What about this sequence? 18,16,14,… What would come next? Can you get back to 0? What number is missing? 18 ___ 14 12 Count in 5s up to 50 How far can you count in fives? 25,30,35,40, ….? How far can you continue the sequence What about this sequence? 45,40,35,25,… What would come next? Can you get back to 0? What number is missing? ___ 20, 25, 30 Count in 10s up to 100 How far can you count in tens? 40,50,60, ….? How far can you continue the sequence? What about this sequence? 90,80,70,… What number is missing? ___ 70 60 50

3. Africa Know by heart all number bonds that total 20. Date achieved Know by heart all number bonds that total 20. Know by heart all addition and subtraction facts for each number up to 10. Know by heart all bonds of multiples of 10 up to 100. Know by heart doubles of all numbers to 20. Know by heart all halves of numbers to 20. Know by heart all multiplication facts for 2 up to 12 x 2. Know by heart all division facts for 2 up to 24. facts for 5 up to 12 x 5. for 5 up to 60. facts for 10 up to 12 x 10. for 10 up to 120.

Know by heart all number bonds that total 20. 0 + 20 = 20 1 + 19 = 20 Stage 3 Africa Examples Can your child answer these questions? Know by heart all number bonds that total 20. 0 + 20 = 20 1 + 19 = 20 2 + 18 = 20 Up to…. 19 + 1 = 20 20 + 0 = 20 How many pairs of numbers which total 20 can you remember? What would you add to 8 to get a total of 20? Use number cards from 0 to 20 – can you pair the numbers which make 20? Know by heart all addition facts for each number up to 10. 0 + 8 = 8 1+ 7 = 8 3 + 4 = 7 2 + 4 = 6 1+ 6 = 7 (Adding 2 numbers where the total is up to 10) What numbers could you add to give a total of 8? Are there any other ways to get a total of 8? Know by heart all subtraction facts for each number up to 10. 10 – 1 = 9 7 – 2 = 5 8 – 2 = 6 9 – 0 = 9 6 – 3 = 3 8 – 5 = 3 There are 10 beans on a plate – I hide some and write this to show what I have done: 10 – 3 = 7. Use the 10 beans and hide a different amount – can you write the subtraction sentence for what you have done? Look at this addition : 7 + 2 = 9 Can you make a subtraction sentence using these numbers? (9 – 2 = 7, 9 – 7 = 2)

4. Australasia Australasia Date achieved Know by heart addition and subtraction facts for each number up to 20. Know by heart all sums and differences of multiples of 10 up to 100. Know by heart all number bonds that total 100. Know by heart all doubles of multiples of 5 and 10 up to 100. Know by heart all halves of multiples of 10 up to 100. Know by heart all multiplication facts for 3 up to 12 x 3. Know by heart all division facts for 3 up to 36. Know by heart all multiplication facts for up to 12 x 4. Know by heart all division facts for 4 up to 48. Know by heart all multiplication facts for 8 up to 12 x 8. Know by heart all division facts for 8 up to 96. Recognise multiples of 2, 5, 10 up to 1000.

Know by heart all addition facts for each number up to 20. 0 + 19 = 19 Stage 4 Australasia Examples Can your child answer these questions? Know by heart all addition facts for each number up to 20. 0 + 19 = 19 3 + 15 = 18 7 + 4 = 11 12 + 4 = 16 13+ 6 = 19 (Adding 2 numbers where the total is up to 20) What numbers could you add to give a total of 17? Are there any other ways to get a total of 17? Know by heart all subtraction facts for each number up to 20. 20 – 1 = 19 17 – 2 =15 18 – 2 = 16 19 – 0 = 19 16 – 3 = 13 18 – 5 = 13 15 – 8 = 7 19-10 = 9 There are 16 beans on a plate – I hide some and write this to show what I have done: 16 – 4 = 12. Use the 16 beans and hide a different amount – can you write the subtraction sentence for what you have done? Look at this addition : 17 + 2 =1 9 Can you make a subtraction sentence using these numbers? (19 – 2 = 17, 19 – 7 = 12) Know by heart all sums and differences of multiples of 10 up to 100. 60 + 30 = 90 70 + 80 = 150 20 + 90 = 110 70 – 20 = 50 90 – 60 = 30 40 – 30 = 10 Add 80 and 30, tell me how you did it. Tell me all the number pairs you know with multiples of 10 which make 90. What is the difference between 20 and 80? (60) Look at these multiples of 10… which pairs give a total of 100? A total of 140? 0 10 20 30 40 50 60 70 80 90 100

5. North America Double any 2 digit number. Halve any 2 digit number. Date achieved Double any 2 digit number. Halve any 2 digit number. Know by heart all multiplication facts for 6 up to 12 x 6. Know by heart all division facts for 6 up to 72. Know by heart all multiplication facts for 7 up to 12 x 7. Know by heart all division facts for 7 up to 84. Know by heart all multiplication facts for 9 up to 12 x 9. Know by heart all division facts for 9 up to 108. Know by heart all multiplication facts for 11 up to 12 x 11. Know by heart all division facts for 11 up to 132. Know by heart all multiplication facts for 12 up to 12 x 12. Know by heart all division facts for 12 up to 144.

Double any 2 digit number. Double 26 = 52 Double 97 = 194 Stage 5 North America Examples Can your child answer these questions? Double any 2 digit number. Double 26 = 52 Double 97 = 194 Which numbers are missing in this sequence? 17 34 ? 136 ? I think of a number and halve it – the answer is 55. Which number was I thinking of? How do you know? Halve any 2 digit number. (EVEN numbers only) Half 48 = 24 Half 86 = 43 Half 96 = 48 96 ? 24 ? ? Use the number 86 to explain what doubling and halving mean. Know by heart all multiplication facts for 6 up to 12 x 6. 0 x 6 = 0 1 x 6 = 6… Up to 12 x 6 = 72 Which is the number before 36 in the 6x table? What is the answer to 6 x 6? 8 x 6? What are 6 8s? Know by heart all division facts for 6 up to 72. 72 ÷ 6 = 12 66 ÷ 6 =11… Down to 0 ÷ 6 = 0 What is the answer to 36 ÷ 6? 48 ÷ 6? Which is the missing number: ? x 6 = 24? How do you know? How many groups of 6 in 48?

6. South America Double any number with up to 1 decimal place. Date achieved Double any number with up to 1 decimal place. Halve any number with up to 1 decimal place. Recall quickly multiplication facts up to 12 x 10 and use them to multiply pairs of multiples of 10 and 100 e.g. 30 x 70, 40 x 200. Recall quickly division facts of all tables up to 12 x 10 and use them to divide pairs of multiples of 10 and 100 e.g. 240 ÷ 40 = 6. Identify pairs of factors for all 2 digit whole numbers.

Double any number with up to 1 decimal place. Double 5.7 Double 12.6 Stage 6 South America Examples Can your child answer these questions? Double any number with up to 1 decimal place. Double 5.7 Double 12.6 Which number did you double to get the answer 3.8? How do you know? Halve any number with up to 1 decimal place. Halving any number with an even digit decimal. Halve 7.2 Halve 9 If I halve 2.6 litres of juice into two jugs, how much juice in each jug? Recall quickly multiplication facts up to 12 x 12. 3x8 6x7 9x4 Which is the missing number? 6x ? = 42 The answer is 36 – which multiplication sum could it be? Use multiplication facts up to 12 x 12 to multiply pairs of multiples of 10 and 100 eg 30 x 70, 40 x 200, 8 x 120. 30x70 40x200 500x600 Which two numbers multiply together to give 4800?

7. Globetrotter Know by heart all the Date achieved Know by heart all the squares of numbers between 12 x 12. Recognise and recall factors of numbers up to 100 and corresponding multiples of 100. Use knowledge of place value and X facts to 10 x 10 to derive related x / ÷ facts involving decimals (e.g. 0.8 x 7 = 5.6). Know by heart tests of divisibility for multiples of 2, 3, 4, 5, 6, 9 and 10.

Can your child answer these questions? Stage 7 Globetrotter Examples Can your child answer these questions? Know by heart all the squares of numbers between 12 x 12 (1 and 12). 1 squared is 1 62 = 36 11 squared is 121 Can you tell me all the square numbers between 50 and 100? A number squared is 49, what is the number? Recognise and recall factors of numbers up to 100 and corresponding multiples of 100. The factors of 24 are 1,24,2,12,3,8,4,6 Which is the missing number? 6x ? = 42 The answer is 36 – which multiplication calculation could it be?

Remember First stage is to learn what each skill needs. Tables can be learned by rote or sung to start with. Then build up speed. The aim is to get faster. When you think your child is ready to be tested on a part of the passport then initial that section and send the passport into school for the class teacher to see. When tested in school: Answers need to be instant. They all need to be correct. No fingers, no counting or chanting through the tables. Practise little and often. Use websites to help. Mathletics www.mathletics.co.uk http://www.st-pauls.wilts.sch.uk/math.html