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Welcome to the Year 6 Numeracy WorkshopPowerPoint Presentation

Welcome to the Year 6 Numeracy Workshop

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

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### Welcome to the Year 6 Numeracy Workshop

Friday 18th February

Aims for today.To show you what is expected of children in numeracy in Year 6To 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.

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

5 seconds

Multiply 60 by 10

10 seconds

Divide 350 by 100

How would you work these out?

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

1.2 divided by 100?

Children manipulate numbers

- Multiply move digits to the left
- Divide move digits to the right
- Decimal point stays constant

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.

To calculate this children must know their tablesMust have an efficient methodMust be able to check their answersUse partitioning to gain understanding of values

17 x 5

10 x 5 = 50

7 x 5 = 35

50 + 35 = 85 must also be able to add

The Grid Method

50 + 35 = 85

The Grid Method

320 + 20 = 340

- Use the grid method to calculate
- 18 x 6
- 18 x 16

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?

48 ÷ 3 =

How many 3s in 48

Share 48 by three

Three times table

48 is made from an amount of 3s

3 x _ = 48

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

Chunking of 3’smoving to a formal written method (Subtracting multiples of 3 )

- ÷ 3 = 16
48

30 10 x 3

18

18 6 x 3

0

1 x 3

2 x 3

5 x 3

10 x 3

Multiplication the inverse of division of 3’sThe Grid Method to check division

30 + 18 = 48

Subtraction and addition of 3’s

- 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

How would I work this out? of 3’s

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

Column Subtraction of 3’s

£5.85 - £2.99

£5. 85

£2. 99

Children need to understand place value and exchanging.

Use of a number line to find the difference of 3’s

- 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

£0.01 + £2.00 + £0.85 = £2.86

High order mathematicians would use their mental skills of 3’s

- Round £2.99 to £3.00
- Subtract £3.00 from £5.85
- Add back a penny

I spend £4.32 on food and £3.62 on drinks of 3’s

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.

Add money amounts of 3’s

Subtract answer from £10

Ryan buys the £4.69 sunglasses and a sun hat.

How much change does he get from £10?

Fractions, Percentages, Decimals Doubling and Halving of 3’s

- 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 7 10 + 3.5 = 13.5

Applying multiplication and division knowledge and skills of 3’s- Fractions of quantities

- 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 of 3’s- 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

Percentages of 3’s

- 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

- Reduce the price of these trainers by 15% of 3’s
- What is the new price?
- Trainers cost £26.00
£2.60 + £1.30 = £3.90

£26.00 - £3.90 =

- 60 x 10 = of 3’s
- 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

Ways to help of 3’s

- 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. 67+43. 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

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