Transcript Numeracy Passport Presentation

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.
1.
2.
3.
4.
5.
6.
7.
Europe
Asia
Africa
Australasia
North America
South America
Globetrotter
•Europe
Europe
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.
Date achieved
Date achieved
Date achieved
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
Say which number is one more
than any number up to 20.
1 more than 4 is 5.
1 more than 17 is 18.
Look at these numbers 1-20.
Which number(s) is (are)
missing?
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
Asia
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.
Date achieved
Date achieved
Date
achieved
Stage 2 Asia
Count in 2s
up to 20
Count in 5s
up to 50
Count in
10s up to
100
Examples
Can your child answer these questions?
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
How far can you count in fives?
What number would follow in this sequence:
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
How far can you count in tens?
What number would follow in this sequence:
40,50,60, ….? How far can you continue the
sequence?
What about this sequence? 90,80,70,…
What would come next? Can you get back to 0?
What number is missing? ___ 70 60 50
3. Africa
Africa
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.
Know by heart all multiplication
facts for 5 up to 12 x 5.
Know by heart all division facts
for 5 up to 60.
Know by heart all multiplication
facts for 10 up to 12 x 10.
Know by heart all division facts
for 10 up to 120.
Date achieved
Date achieved
Date achieved
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
What numbers could you add to give a total of
1+ 7 = 8
8?
3+4=7
Are there any other ways to get a total of 8?
2+4=6
1+ 6 = 7
(Adding 2 numbers
where the total is up
to 10)
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)
Australasia
4. Australasia
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.
Date achieved
Date achieved
Date achieved
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)
20 – 1 = 19
17 – 2 =15
18 – 2 = 16
19 – 0 = 19
16 – 3 = 13
18 – 5 = 13
15 – 8 = 7
19-10 = 9
60 + 30 = 90
70 + 80 = 150
20 + 90 = 110
70 – 20 = 50
90 – 60 = 30
40 – 30 = 10
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.
Know by heart all
sums and
differences of
multiples of 10 up
to 100.
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)
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
North America
5. North America
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.
Date achieved
Date achieved
Date achieved
Stage 5
North America
Examples
Can your child answer these questions?
Double any 2 digit
number.
Double 26 = 52
Double 97 = 194
Halve any 2 digit
number.
(EVEN numbers
only)
Half 48 = 24
Half 86 = 43
Half 96 = 48
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?
Which numbers are missing in this sequence?
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.
0x6=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
South America
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.
Date achieved Date achieved Date achieved
Stage 6
South America
Examples
Can your child answer these questions?
Double any
number with up
to 1 decimal
place.
Halve 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?
Halving any
number with an
even digit
decimal.
Halve 7.2
Halve 9
Recall quickly
3x8
multiplication
6x7
facts up to 12 x 9x4
12.
If I halve 2.6 litres of juice into two jugs, how
much juice in each jug?
Use
30x70
multiplication
40x200
facts up to 12 x 500x600
12 to multiply
pairs of
multiples of 10
and 100 eg 30 x
70, 40 x 200, 8
x 120.
Which two numbers multiply together to give
4800?
Which is the missing number? 6x ? = 42
The answer is 36 – which multiplication sum
could it be?
Globetrotter
7. Globetrotter
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.
Date
achieved
Date
achieved
Date
achieved
Examples
Stage 7
Globetrotter
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
The factors of
Recognise
24 are
and recall
1,24,2,12,3,8,4,6
factors of
numbers up
to 100 and
correspondi
ng multiples
of 100.
Can your child answer these
questions?
Can you tell me all the square
numbers between 50 and 100?
A number squared is 49, what is
the number?
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