1. Numeracy Workshop
16th November 2011
Overview for Parents

2. By the end of lower school my child should be able to...
Number
Understand and use place value up to 1000
Recognise negative numbers in contexts such as temperature
Use decimal numbers in contexts such as money
Use simple fractions and recognise equivalent fractions
Use mental recall of addition and subtraction facts to 20 in solving problems with larger numbers
Use mental recall of the 2,3,4,5 and 10 times tables and find the associated division facts
Add and subtract numbers with 2 digits mentally
Add and subtract numbers with 3 digits using written methods
Solve whole number problems involving multiplication or division, including those that give rise to remainders

3. By the end of lower school my child should be able to...
Shape, Space and Measure
Classify 3d and 2d shapes
Use symmetry with 2d shapes
Measure accurately and compare using standard units (g, kg, m, cm)
Convert units of measurements e.g.: cm to m.
Read time to the nearest minute on analogue and digital clocks
Use relationships between the units of time e.g.: seconds and minutes
Use a calendar and timetables
Use am and pm in a range of contexts (12 hour clock)
Recognise right angles

4. By the end of lower school my child should be able to...
Handling Data
Identify and interpret information in simple tables
Construct and interpret bar graphs and pictograms
Problem Solving (using and applying maths)
Try different approaches to problems
Organise work and check results
Discuss numeracy work and explain their thinking
Interpret maths symbols and diagrams.

5. Why is calculation so important?
Progress in Calculations
Why is calculation so important?
Lies at the heart of numeracy
Mental method is emphasised
- Remembering number facts
- Using them to work out new facts
- Understanding the relationship between ‘the 4 rules’
- Having a repertoire of mental strategies.
Written methods follow on
The following pages show progression in:
Addition
Subtraction
Multiplication
Division
In these next pages you will find a progressive guide to teaching and learning calculations. It is important to remember that these steps will have been preceded by basic work in the infants school, which will have focused on practical numbering, ordering and pattern work. It is also important to remember that every child will progress at a different pace through the stages.

6. Know and use number bonds
Addition
Know and use number bonds
to 10 and 20
2 + 8 = 10
= 100
= 1000
= 30
Use a number line to count, putting the biggest number first

7. Addition Add to the next 10 and then add the extra
Add 2 numbers that bridge 10
Add to the next 10 and then add the extra
Adding 2 2-digit numbers (without bridging) =
+ 10
+ 3

8. Partition into tens and units
Addition
Add two 2 digit numbers =
Use a number line…
Partition into tens and units

9. Addition
Add two 2 digit numbers
Expanded Written Method =
T U
+ 8 10 TU 48
+36 84 1
Standard Written Method =

10. Subtraction
Know by heart subtraction facts for numbers up to 10 and 20
20 =
20 – 8 = 12
20 – 12 = 8
Subtract single digit numbers, bridging through the 10

11. Subtraction
Begin to find the difference by counting up from the smallest number
Subtract a 1 digit number from a two-digit number
45 – 1 =

12. Subtraction 45 – 10 = 45 – 20 = Subtract 10 from a 2 digit number
Subtract multiples of 10 from any number
45 – 20 =
Partition the number to be subtracted (no exchanging)

13. Subtraction
Decide on whether to count on or count back
= 47
Partition the number to be subtracted (with exchanging)
(Links back to counting back on a number line)
= 16

14. Subtracting 2 2-digit numbers
Subtraction
Subtracting 2 2-digit numbers
Expanded Written Method =
T U 30
10+ 6
10 +
Standard Written Method
43 – 27 =

15. Know Multiplication Facts
Know doubles and corresponding halves

16. Multiplication Understand multiplication as repeated addition
Understand multiplication as an array

17. Multiply multiples of 10 by units
Multiplication
Multiply multiples of 10 by units
Use place value to support the multiplication of TU and U alongside the grid method

18. Understand division as sharing

19. Use known multiplication facts to work out division facts
Reinforce division as grouping through the use of arrays and as repeated subtraction

20. Divide with remainders
Division
Divide with remainders
15  4 =
15  4 = 3 r 3
Division by chunking
87  7 = 12 r 3 87
(10x7)
Take out chunks of multiples of 10, 5 or 2. 70 17 14 3
(2 x 7)

21. Ideas for helping your child at home…
Shape, Space and Measure
Ideas for helping your child at home…
What shape is this? What shapes can you see? Find me something that is spherical / cone shape…
Cooking – weighing and measuring
Provide small mirrors to play with
What time is it? What time will it be in …. minutes? How long until tea?
Measuring carpet / rooms / objects
Buy a small compass – which direction are we travelling in? Can you tell me something that is North? South? Etc
Measuring jug in the bathroom
Building and measuring

22. Helping your child at home
 With young children:
Sing number rhymes and songs such as:
'One, two, buckle my shoe‘
'One two three four five, once I caught a fish alive‘
'Ten green bottles‘
'There were 10 in the bed'
Talk about:
How many knives and forks you will need to set the table?
How many people are in the queue at the supermarket check-out?
Which glass will hold the most orange juice?
Find numbers to add up e.g.: car number plates.
Play games like Snakes and Ladders that involve taking turns and using a dice and counters to move around a board
Look for numbers in books, on posters, in comics, on buses, cars and road signs
Talk about the shapes of things
With older children you can:
Talk about any maths work that they bring home from school
Ask them to help you when you are doing things with money, or measuring or weighing
Give them independence when buying things in a shop using coins and notes. Ask them how much change they expect to get.
Help them to learn their multiplication tables through chanting forwards and backwards, spot checking random tables.
Tell the time - begin with the quarter intervals and move on to 5 minute intervals and minute intervals. Ask them time related questions.
Use magazines to find out when a TV programme is on and set the DVD recorder
Look at the price of things in catalogues and work out if you can afford them
Weigh ingredients when you are cooking
Ask them to cut cakes / fruit and other food items into halves, quarters, thirds etc.
Use sweets to practise division e.g.: can you share these between the 3 of you?
Measure floors for carpets, walls for wallpaper and paint 

23. Homework Your child receives maths homework every other week.
Times tables are ongoing and there should be a focus times table that your child is learning.
Your child receives maths homework every other week.
Homework will have been explained to them by the class teacher.
Homework is always based on concepts covered in class.
Talk to your child about what they have been learning and ask them to give you an example.
Support your child to complete their homework following the instructions / method given.
Put a note on your child’s homework regarding the level of support given.

24. Useful Webites Topmarks
BBC Bitesize
Primary Games (Games will appear with ‘FOR EVAULATION ONLY across them but they are still useable)
Woodlands Kent
CrickWeb