MathsKeep up with the

kids!

o Practical maths at home

o Written multiplication and division

o Year group expectations

Aims for today

Practical maths at home

• Use kidney beans! • Show excitement about maths - regardless of

your experience of it!• Find the number - in the house or on the way to

school. • Plan a week's budget for food for the family or

plan a party to a budget. • Talk about supermarket offers, which is cheaper,

3 for 2 , 50% off! buy one get one half price?

Written Multiplication - Stage 1

Children are encouraged to develop a picture of the size of numbers. They learn to think about equal groups or sets of objects in practical, real life situations. They begin to record these

situations using pictures.

A child’s drawing showing fingers on

each hand as a double.

  A child’s drawing showing double

three as three cookies on each plate.

or

Children can then be introduced to the image of a rectangular array, initially through real items such as egg boxes, baking trays, ice cube trays, wrapping paper etc. and using these to show that counting up in equal groups can be a quicker way of finding a total.

Children also understand that 3 x 5 is the same as 5 x 3

Stage 2Children understand that multiplication is repeated addition and that can be done by counting in equal steps/groups.

Stage 3Children continue to use arrays and create their own to represent multiplication calculations

Stage 4Children will continue to use arrays to lead into the grid method of multiplication.14 x 6

The 14 is partitioned (split) into 10 and 4.

The answer to 6 x 10 is found = 60The answer to 6 x 4 is found = 24The two answers are added together 60 + 24 = 84

This is the grid method – children start working on this in year three. They must have a good understanding of the concept of arrays before they move on to this method – otherwise it is too confusing!

Stage 5

The array is removed and children use the grid method.

Stage 6

Multiply decimals using the grid method and progress on to short multiplication.

Without a secure understanding of place value, pupils will be very confused with

this method!

Written Division - Stage 1

Children are encouraged to develop a mental image of the number system in their heads to use for calculation. They should experience practical calculation opportunities involving equal groups and equal sharing.

They may develop ways of recording calculations using pictures.

A child’s jotting showing halving six spots between two sides of a ladybird.

A child’s jotting showing how they shared the apples at snack time between two groups.

6 football stickers are shared equally between 2 people, how many do they each get? Children may solve this by using a ‘one for you, one for me’ strategy until all of the stickers have been given out.

Equal grouping (How many groups of 2 are there in 6?)

Stage 2Children explore practical contexts where they share equally and group equally. 6 ÷ 2 = ?Equal sharing (6 shared equally between 2)

There are 6 football stickers, how many people can have 2 stickers each?

Stage 3Children continue to use practical equipment to represent division calculations as grouping (repeated subtraction) and use jottings to support their calculation.

12 ÷ 3 = ? Children begin to read this calculation as,‘How many groups of 3 are there in 12?’

At this stage, children will also be introduced to division calculations that result in remainders.13 ÷ 4 = 3 remainder 1

43 ÷ 8 = 5 remainder 3

At this stage, children also learn if the remainder should be rounded up or down e.g. 62 ÷ 8 = 7 remainder 6

I have 62p. Sweets are 8p each. How many can I buy?

Answer: 7 (the remaining 6p is not enough for another sweet)

Apples are packed into boxes of 8. There are 62 apples. How many boxes do I need?

Answer: 8 (the remaining 6 apples still need to be placed into a box)

Stage 443 ÷ 8

Stage 5The previous method of repeated subtraction on a number line is continued, but using a vertical number line alongside practical equipment.

The repeated subtraction is made more efficient by subtracting ‘chunks’ of the divisor. 48 ÷ 4 = 12

Stage 6This is the final stage, in which children use the ‘chunking’ method.

Children should not be made to go onto the next stage if:

• they are not ready.• they are not confident.

Children should be encouraged to consider if a mental calculation would be appropriate before using written methods.

Year group expectations

• New National curriculum for all subjects• Bands replace levels• Children are having to catch up in all years• Expectations are on the hand outs• You will have been told your child’s current band at parent’s evening.• Assessment system is new for everyone!

Any questions?