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The aim. The aim is for children to do mathematics in their heads, and if the numbers are too large, to use pencil and paper to avoid losing track. To do this children need to learn quick and efficient methods, including appropriate written methods.

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slide1

The aim

  • The aim is for children to do mathematics in their heads, and if the numbers are too large, to use pencil and paper to avoid losing track. To do this children need to learn quick and efficient methods, including appropriate written methods.
slide2

How can you help?

Talk about how you do maths

Be positive

Ask your child to explain

Give praise and encouragement

Make sure maths is fun!

slide3

We want children to ask themselves:

Can I do this in my head?

Can I do this in my head using drawings or jottings?

Do I need to use an expanded/compact written method?

Do I need a calculator?

slide4

Learning written methods is not

the ultimate aim.

  • Mathematics is foremost an activity of the mind, and written calculations are an aid to that mental activity.
  • The Numeracy Strategy aims to develop children’s mental strategies and then written methods that derive from and support mental methods.
slide5

How do you add and subtract?

61 + 45 7800 – 5600

5735 + 3657 5735 + 3990

83 – 68 5002 – 4996

538 - 295 267 + 267

2.5 + 2.7 5.1 - 2.78

slide6

+10

+10

+10

+10

+7

76

96

106

116

123

86

+ 40

+ 7

116

123

76

Addition

76 + 47 =

slide7

358

+ 473

358

+ 473

831

1

1

Addition

358 + 473 =

11

120

700

831

slide8

Addition

176 + 147 =

100 + 70 + 6

+ 100 + 40 + 7

200 + 110 + 13

= 323

slide9

19

20

23

33

43

-1

-3

-10

-10

Subtraction

Imran has 43 conkers; he gives 24 away to his friends. How many does he have left?

43 – 24 =

19 conkers

slide10

+5

+30

+3

93

90

55

60

Subtraction

Sam has saved 93p, Amy has 55p. How much more money does Sam have than Amy?

93 – 55 =

38p more

slide11

5643

5700

6000

9010

57

+300

+3010

3367

Subtraction

A sports stadium holds 9010 spectators. 5643 people attend a football match. How many empty seats are there?

+ 57

+300

+3010

5643

5700

6000

9010

3367 empty seats

slide12

Subtraction

8.23 – 4.55 =

3.68

+0.23

+0.45

+3

8.23

8.00

4.55

5.00

slide14

10

13

6

…….and more:

643

+ 274

8117

  • 803
  • 526
  • 187
slide15

How do you multiply and divide?

57 x 2 78 ÷ 2

43 x 50 742 ÷ 2

36 x 25 700 ÷ 4

18 x 15 65.5  10

8 x 19 17 ÷ 5

34 x 7 5.4 ÷ 6

slide16

Multiplication

47 x 8 = x 40 7

8 320 56 376

37 x 46 =

x 30 7

40 1200 280 1480

6 180 42 222

1702

slide17

67

x 54

268

335

603

76

x 8

5648

101 r 5

7 847

Mistakes children make:

slide18

8 47

375  43

43 375

Division

47  8

slide19

A shop notice states that there are 87 shopping days to Christmas. How many weeks is that?

87

-70 (10 weeks)

17

-14 (2 weeks)

3

So it’s 12 weeks (and 3 days) of shopping to Christmas.

slide20

First on a number line 87 ÷ 7

3

17

87

-14

subtract 7x2 or 7 twice

-70

subtract 7x10 or 7 ten times

We have subtracted seven 12 times and have 3 left

so… 87 ÷ 7 = 12 r 3

slide21

432 school children are going on an outing. If each bus takes 15 passengers, how many buses will be needed?

432

-300 (20 buses)

132

- 90 (6 buses)

42

-30 (2 buses)

12 (people left)

So we need 29 buses or 28 buses and some cars!

sums and things for parents
Sums and Things for Parents

I think of a number and add 6.

My answer is negative 7, what number did I start with?

sums and things for parents1
Sums and Things for Parents

Negative 13

Well done Lucie.

How did you think that through?

slide24

The story so far ……….

  • children’s recall of number facts has become more accurate and faster
  • children are more aware of the strategies they use to calculate
  • they use vocabulary correctly
  • they are more confident about maths
  • maths is more fun!
slide25

What can a numerate child do?

  • By the age of 11 they should :
  • have a sense of the size of number and where it fits into the number system
  • know by heart addition and subtraction facts to 20, multiplication and division facts to 10x10, doubles and halves, complements to 100, multiply and divide by 10 and 100
  • use what they know to figure out answers mentally
slide26

What can a numerate child do? (cont.)

  • calculate accurately and efficiently, both mentally and on paper, using a range of strategies
  • recognise when it is appropriate to use a calculator- and when it is not- and be able to use one effectively
  • explain their methods and reasoning using correct mathematical terms
  • judge whether their answers are reasonable and have strategies for checking them where necessary