How to Help Your Child with Maths

INSPIRE 5KW

This morning?“They do it all differently these

days!”

Bridging the gap

They are teaching you this morning!

What is important?• A strong foundation in the basics

– Just like the foundations of a house, if the basics aren’t solid then cracks will appear

– So, keep returning to the fundamentals– Your child should not just be familiar

with the basics, but fluent– Don’t be afraid to do the old drills and

skills

Anything else important?

• Multiplication tables• Rapid and accurate addition and

subtraction• Telling the time, analogue and digital

• Drip, drip, drip….

Anything else important?

• A sound understanding of place value is very important

Not millions Th H T U . 1/10 1/100

So what are the basics?

• Addition• Subtraction• Multiplication• Division• Problem solving

Some practical ideas…Times tables in the car…drill and quickfire

Make it real:Do I have enough money?What change should I get?Which is the best value?

What time will it be in 25 minutes?If we leave now will we catch the train, bus,

cinema…

Cooking, weighing, measuring.Do I have enough rice to make this dish?

What methods do we use?

Mental first!• To equip children for real life their mental

maths skills are the most important.

• Speeding up the accuracy and fluency of mental methods will help with written methods later.

What methods do we use?

Mental strategies • Bonds to 10 and 100

• Partitioning. 24 + 43 = 20 + 40 = 60 4 + 3 = 7 60 + 7 = 67

What methods do we use?

Your turn….• Play I say, you say with your bonds to 10, then 100.

then….

• Solve this calculation by partitioning…• 54 + 32 =

• If you finish early, you can practice by using the number cards on your desks, turn over 2.

What methods do we use?

• Written methods– Using a variety of methods– Building towards a standard method– They often follow the path from an expanded method to a shorter method and finally a compact

method

Addition in Key Stage 2

The three different written forms are:

• Expanded Method

75 70 + 5 +23 + 20 + 3 98 90 + 8

Addition in Key Stage 2

Shorter Method

75 +23 8 90 98

Addition in Key Stage 2

• The Compact Method

75 +23 98

Addition in Key Stage 2

• Carrying as part of the Compact Method

78 +23 Notice the carry

written 101 under the line

1

Addition in Key Stage 2

Your turn….

Solve this calculation 65 and this one 145 + 78 227

Addition in Key Stage 2

• Decimals “Decimals Don’t Dance!”

• The decimal point stays in the same place

71.3 71.3 2.25 2.25

Decimals should not be written in the square of a book as they have no place value. They should be written on a line 1 2.4

Addition in Key Stage 2

Your turn….

Line up the decimals to solve this calculation using the compact method

43.2 + 12.25 =

Subtraction in Key Stage 2

• Expanded method

78 70 + 8 -23 - 20 + 3 55 50 + 5

Subtraction in Key Stage 2

• Shorter method

78 -23 5 50 55

Subtraction in Key Stage 2

• Compact method

78 -23 55

Subtraction in Key Stage 2

• Common problems

83 -48 Children will often say 3 - 8 = 5 so ask them to do a concrete check: ‘I have 3 pieces of fruit. Can you take away 8 of them?’

Subtraction in Key Stage 2

Common problems

We talk about numbers and digits to make things clearer So 56 is the number… …but 5 and 6 are the digitsSo when writing down a subtraction, always put the bigger number on

the top

Subtraction in Key Stage 2

Exchanging• We don’t ‘borrow’ because we are never going to pay anything back

73 76313 Having exchanged, start the sum again: -28 -2 8 13 - 8 we can do = 5 4 5 ‘6 tens - 2 tens is how many tens?’ rather than 60 - 20 as children will write 40 5By years 5 and 6 we expect children to select the best method, so for 1002 - 998 a

vertical method is NOT best

Subtraction in Key Stage 2

Your turn! Choose the best method to solve these subtraction problems – you

may be able to work out the answer in your head.

a) 123 - 99 =b) 243 – 39 =c) 386 – 293 =

Preparing for Multiplication

• Children must know their tables - fluently

• ? X 5 = 15• 3 x ? = 15• 3 x 5 = ?

• Mad Minutes….your turn!

Preparing for Multiplication

• Place value

Th H T U 1/10 1/100

• Multiplying by 10Move each digit one place to H T U That leaves

the left (remember MultipLication) 1 7 a space in 1 7 to which we put a zero to hold the place

Preparing for Multiplication

• Common Errors– Why don’t we say ‘add a zero’ when

multiplying by 10?• 1.7 x 10 = 1.70 we have added a zero but

have not made any difference to the number

– Why do we need a zero at all?• This is 170 without a zero H T U which looks like 1 7 17

Preparing for Multiplication

• Your turn:Use your white boards to multiply

these numbers by 1036 x 10 = 23 x 10 = 37 x 10 =H T U

Multiplication in KS2

• Grid Method

19 x 6 10 9 60 6 60 54 + 54 114

Multiplication in KS2

• Grid Method29 x 6 20 9 6 120

Knowing 2 x 6 = 12 is a basic fact

So 20 x 6 = 120 can be ‘grown’ from this basic fact

Multiplication in KS2

• Grid Method47 x 6

6

How would you partition 47?

Multiplication in KS2

• Grid Method27 x 23 20 3 20 400 60 400 7 140 21 140 2x2=4 + 60 20x2=40 21 20 x20 = 400 621

Multiplication in KS2

Grid methodYour turn….22 x 14 =

Multiplication in KS2

• Shorter Vertical Method

19 write this first x 6 60 (10 x 6) 54 (9 x 6) 114

They do this method in year 6, after they have a confident grasp of the grid method.

Division in KS2• Tables! Tables! Tables!

• How to rally robin

Your turn: try it with 2, 5 and 10 x tables.

Stand up bingo

Write any 5 of the following numbers on your boards.

0, 2, 4, 5, 6, 8, 10, 12, 14, 15, 20, 22, 24, 26, 28, 30

Thank you for coming!

• This presentation is available on our classblog…

as is a more comprehensive version.

• Please come to see us with any questions