1. Welcome to the Year 6 Numeracy Workshop
Friday 18th February

2. Aims for today. To show you what is expected of children in numeracy in Year 6 To show you how we teach your children a variety of strategies to solve mathematical problems. To provide you with the chance to ask questions and chat with other parents and the teachers. To give you ideas and ways to help your children at home.

3. Multiplication and division
use mental calculation strategies for multiplication and division.
use mental methods for calculations including decimals.
Know when to use mental methods, when to use a written method
Use an efficient written method for multiplication and division
TU x U TU x TU TU ÷ U TU ÷ TU
Solve real life problems

4. Mental test questions
5 seconds
Multiply 60 by 10
10 seconds
Divide 350 by 100
How would you work these out?

5. How would calculate these mentally?
12 x 10
12 ÷ 10
12 x100
12 ÷100
12 x 1000
12 ÷1000
Must understand place value and the value of each digit in a number and a decimal

6. Th H T U .
1/10
1/100
1/1000 1 2
1.2 divided by 10?
1.2 divided by 100?

7. Children manipulate numbers
Multiply move digits to the left
Divide move digits to the right
Decimal point stays constant

8. 14 x 10
14 ÷by 10
14 x 100
14 ÷ by 100

9. How would you work this out in 3 – 5 minutes?
Calculate 17 × 5 × 4
1 mark
How would you work this out in 3 – 5 minutes?

10. Children must know the value of each digit
Children must know the value of each digit. Partitioning helps them to learn the value of the digits. . Will lead to methods of long multiplication.

11. Higher order mathematicians
17 x (4x 5) =
17 x 20 =

12. To calculate this children must know their tables Must have an efficient method Must be able to check their answers Use partitioning to gain understanding of values
17 x 5
10 x 5 = 50
7 x 5 = 35
= 85 must also be able to add

13. 85 x 4
80 x 4 = (8 x 4 x 10 )
5 x 4 = 20
= 340
17 x 5 x 4 = 340

14. The Grid Method x 10 7 5

15. The Grid Method x 10 7 5 50 35
= 85

16. The Grid Method x 80 5 4
320 20
= 340

17. 23 x 16

18. The Grid Method x 20 3 10
200 30 6
120
320 18 48

19. = 368

20. Use the grid method to calculate
18 x 6
18 x 16

21. Plastic cups are sold in packs of 8
Amir needs 27 cups.
How many packs must he buy?
_____________ packs
How would you work this out in 5 minutes without a calculator?

22. 48 ÷ 3 = 3 x _ = 48 How many 3s in 48 Share 48 by three
Three times table
48 is made from an amount of 3s
3 x _ = 48

23. Using a number line to learn that 48 is made from an amount of 3’s
Chunking in multiples along the number line to make this more efficient and quicker to calculate

24. Chunking moving to a formal written method (Subtracting multiples of 3 )
÷ 3 = 16 48
x 3 18
x 3
1 x 3
2 x 3
5 x 3
10 x 3

25. Multiplication the inverse of division The Grid Method to check divisionx 10 6 3 30 18
= 48

26. 90 ÷ 6 =
1 x 6
2 x 6
5 x 6
10 x 6

27. 27 ÷ 8 =
1 x 8
2 x 8
What do we get with this problem?
How is that dealt with?

28. Subtraction and addition
Develop and refine written methods for addition and subtraction building on mental methods
Add by partitioning
Add using the column method
Find the difference by counting on on a number line
Subtract using exchanging and decomposition (column method)
Solve real life problems

29. A shop sells three types of sunglasses.
How would I work this out?
What maths is required?
What calculations need to be used?
What do the words mean?
A shop sells three types of sunglasses.
What is the difference in price between
the most expensive and least expensive
sunglasses?
1 mark

30. Column Subtraction £5.85 - £2.99 £5. 85 £2. 99
£ £2.99
£5. 85
£2. 99
Children need to understand place value and exchanging.

31. Use of a number line to find the difference
Giving change in the shop
Count on in amounts
£2.99 on £0.01 to £3.00
£3.00 on £2.00 to £5.00
£5.00 on £0.85 to £5.85
£ £ £0.85 = £2.86

32. High order mathematicians would use their mental skills
Round £2.99 to £3.00
Subtract £3.00 from £5.85
Add back a penny

33. I spend £4.32 on food and £3.62 on drinks
How much change to I get from £20.00?
Pineapples £1.40 each
Grapes are £2.25 for 1KG
I buy one pineapple and half a kilogram of grapes.
How much change will I get from £5.

34. Ryan buys the £4.69 sunglasses and a sun hat.
Add money amounts
Subtract answer from £10
Ryan buys the £4.69 sunglasses and a sun hat.
How much change does he get from £10?

35. Fractions, Percentages, Decimals Doubling and Halving
¼ of 600? ¼ of 800
Half and half again
Divide by 4
Half of 27? Half of any odd number?
Dealing with an odd number and a decimal
27 = 20 and = 13.5

36. 1/4 of 24 Divide by 4 1/8 of 24 Divide by 8 1/6 of 18 Divide by 6
Applying multiplication and division knowledge and skills - Fractions of quantities
1/4 of 24
Divide by 4
1/8 of 24
Divide by 8
1/6 of 18
Divide by 6

37. and multiply by numerator 2 6x2 = 12 3/8 of 24 = 9 24÷8 = 3 3 x 3 = 9
Applying multiplication and division knowledge and skills - Fractions of quantities
2/4 of 24 =12
divide by denominator 4
24÷4 = 6
and multiply by numerator 2
6x2 = 12
3/8 of 24 = 9
24÷8 = 3
3 x 3 = 9

38. Percentages 1 % divide by 100 10% divide by 10
5 % find 10% and half (divide by 2)
20% find 10% and double (multiply by 2)
61% find 1% (divide by 100) and multiply by 61

39. Reduce the price of these trainers by 15%
What is the new price?
Trainers cost £26.00
£ £1.30 = £3.90
£ £3.90 =

40. 60 x 10 =
60 divided by 100 =
17 x 5 x4 =
48 ÷ 3 =
You buy two items for £1.75 and £3.62 –
What change would you get from £10 ?
What is half of 49?
Find 15% of 400

41. Ways to help
Ensure your child knows their times tables and division facts; then extend this
e.g. 30 x 6
420 divided by 7
Improve their mental addition or subtraction skills by asking them questions on the way to school e.g You can make this fun!
Ensure they do their homework ( remember this will only get more frequent in year 7!)
Encourage them to do their best!
Practising halving and doubling numbers
Talking about real life maths situations – adding and finding the change