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

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Welcome to the year 6 numeracy workshop

Welcome to the Year 6 Numeracy Workshop

Friday 18th February


Welcome to the year 6 numeracy workshop

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

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


Welcome to the year 6 numeracy workshop

Mental test questions

5 seconds

Multiply 60 by 10

10 seconds

Divide 350 by 100

How would you work these out?


How would calculate these mentally

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


Welcome to the year 6 numeracy workshop

1.2 divided by 10?

1.2 divided by 100?


Children manipulate numbers

Children manipulate numbers

  • Multiply move digits to the left

  • Divide move digits to the right

  • Decimal point stays constant


Welcome to the year 6 numeracy workshop

14 x 10

14 ÷by 10

14 x 100

14 ÷ by 100


Welcome to the year 6 numeracy workshop

Calculate 17 × 5 × 4

1 mark

How would you work this out in 3 – 5 minutes?


Welcome to the year 6 numeracy workshop

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.


Higher order mathematicians

Higher order mathematicians

17 x (4x 5) =

17 x 20 =


Welcome to the year 6 numeracy workshop

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


Welcome to the year 6 numeracy workshop

85 x 4

80 x 4 = 320 (8 x 4 x 10 )

5 x 4 = 20

320 + 20 = 340

17 x 5 x 4 = 340


The grid method

The Grid Method


The grid method1

The Grid Method

50 + 35 = 85


The grid method2

The Grid Method

320 + 20 = 340


Welcome to the year 6 numeracy workshop

23 x 16


The grid method3

The Grid Method


Welcome to the year 6 numeracy workshop

320 + 48 = 368


Welcome to the year 6 numeracy workshop

  • Use the grid method to calculate

  • 18 x 6

  • 18 x 16


Welcome to the year 6 numeracy workshop

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?


Welcome to the year 6 numeracy workshop

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


Welcome to the year 6 numeracy workshop

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 moving to a formal written method subtracting multiples of 3

Chunkingmoving 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 the grid method to check division

Multiplication the inverse of divisionThe Grid Method to check division

30 + 18 = 48


Welcome to the year 6 numeracy workshop

90 ÷ 6 =

1 x 6

2 x 6

5 x 6

10 x 6


Welcome to the year 6 numeracy workshop

27 ÷ 8 =

1 x 8

2 x 8

What do we get with this problem?

How is that dealt with?


Subtraction and addition

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


Welcome to the year 6 numeracy workshop

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


Column subtraction

Column Subtraction

£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

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

    £0.01 + £2.00 + £0.85 = £2.86


High order mathematicians would use their mental skills

High order mathematicians would use their mental skills

  • Round £2.99 to £3.00

  • Subtract £3.00 from £5.85

  • Add back a penny


Welcome to the year 6 numeracy workshop

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.


Welcome to the year 6 numeracy workshop

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?


Fractions percentages decimals doubling and halving

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 7 10 + 3.5 = 13.5


Applying multiplication and division knowledge and skills fractions of quantities

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


Applying multiplication and division knowledge and skills fractions of quantities1

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


Percentages

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


Welcome to the year 6 numeracy workshop

  • Reduce the price of these trainers by 15%

  • What is the new price?

  • Trainers cost £26.00

    £2.60 + £1.30 = £3.90

    £26.00 - £3.90 =


Welcome to the year 6 numeracy workshop

  • 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


Ways to help

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. 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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