What is numeracy? - PowerPoint Presentation

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What is numeracy?

Numeracy can be thought of as mathematical literacy – it includes the essential skills needed for solving problems, processing information, making decisions and interpreting data. Being numerate is about appreciating number relationships and interpreting answers, and not just about doing calculations.Slide3

What is numeracy?

Numeracy includes:Being able to critically assess statistics used by advertisers or politiciansBeing able to manage family budgets – credit cards, offers at supermarkets and so

on

Being

able to estimate – in all kinds of situations, e.g. journey speed, time and distance, roughly how much a bill will be or your expected bank balance at the end of the month..

.

Being able to solve problems and make decisions in a numerate waySlide4

‘How can you make this better

?’

Penny AlexanderSlide5
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Problem Solving

What is the problem with the problem?How could you make it make sense?

How many students would identify a mistake here?

How many students know how to tackle a problem in your subject?

A

light bulb is expected to last 1000 hours. About how many hours per day in a 365 day year is a company assuming a light bulb will be used?Slide9

Problem SolvingSlide10

Sloppy maths – use of the equals sign

Stream of consciousness calculationse.g. 3 x 4 = 12 x 2 = 24 – 5 = 19

Get students to work down the page, only using = to say that two things are the same

Sometimes students use = instead of : notation or “represents”

e.g. The scale is 1cm = 1kmSlide11

Sloppy maths – commutative calculations

Addition and multiplication give the same answer even if you reverse the numbers. Subtraction and division do not and we MUST not allow this to go unchecked.

e.g. 4 – 6 = 6 – 4 =

2

e.g. 12 ÷ 4 = 4 ÷ 12 = 3Slide12

Sloppy maths – fractions

3 / 5When you are writing fractions, always write them with a horizontal line to avoid confusion

But make sure you are clear about the placement of numbers/letters

e.g.

 Slide13

Sloppy maths – graphs

2

3

4

5

-2

6

4

2

-1

-4

-3

-2

-4

-6

Our students have a tendency

to

draw their axes without a coherent scale – sometimes to fit it on the page they squish up the numbers at the top or bottomSlide14

Sloppy maths – formulae

What are these magic triangles for?

Distance Speed Time

Mass Density Volume

Force Mass Acceleration

Voltage Current Resistance

Force Area Pressure

Where possible, teach

where

these triangles arise from, so that they make logical sense to the students.Slide15
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A – Z of NUMERACYSlide19

Embedding numeracy in your subject

1. Write a persuasive speech to encourage people to quit smoking.  Use facts/statistics to make it sound like you are an expert.a) Work out how much someone who smokes a pack of fags a day spends on them in a year.

b) If 1 cigarette cuts 11

minutes

off your life, how many hours are cut off your life if you smoke 20 a day for a month?

2. Write a persuasive speech to Barack Obama encouraging him to endorse gay marriage in the US.  Work out how many US States currently allow it and how many

don’t

– turn

this into a % to sound more authoritative and convincing.Slide20

“I can’t do maths”

Or,“I was never any good at maths at school”

The ‘I can’t do

maths

’ attitude is highly damaging; if people repeatedly hear ‘I can’t do

maths

’, they begin to believe that

numeracy

isn’t important.

https://www.youtube.com/watch?v=3uYBoWH3nFkSlide21

So, what can we do?

Promote numeracy especially “grammar”Problem solving tasksBan the “I can’

t do

Maths

” attitude

Links with a

maths

teacher

Use numeracy in your lessons in a meaningful way

Is there any assistance the

maths

team can provide? (graphs, ratios, methods of calculations, using a calculator effectively)Slide22

1.

Have you ever thought of changing career?

If you wanted to join the Navy at the age of 16 you would be tested in the following way?

Could you do it??? Slide23

2

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3

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4

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5

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6

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7

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8

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9

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10. Slide32

11. Slide33

12. Slide34

1.

Correct answer: C Slide35

2

.

Correct answer: C Slide36

3

.

Correct answer: A Slide37

4

.

Correct answer: C Slide38

5

.

Correct answer: BSlide39

6

.

Correct answer: C Slide40

7

.

Correct answer: C Slide41

8

.

Correct answer: C Slide42

9

.

Correct answer: A Slide43

10.

Correct answer: B Slide44

11.

Correct answer: C Slide45

12.

Correct answer: E Slide46

What year 7 and upwards should be doing

Multiplying:

Grid method 23 x 47

x

20

3

40

7

Multiplying:

Long multiplication (year 6)

47 x

23

800

120

140

21Slide47

Multiplying:

Long multiplication (year 7) 4 7 x 2 3

141

940

1081

2

What year 7 and upwards should be doing

1Slide48

What year 7 and upwards should be doing

Division:

NO CHUNKING!!

351 ÷ 9

9 ) 351 -

9 x

10

= 90

90

261 - 9 x

10

= 90

90

171 -

9 x

10

= 90

90

81 – 9 x

5

= 45

45

36 9 x

4

= 36

Short division:

3 9

9) 3 5 1

3

8Slide49

Housekeeping

To avoid confusion:

“carried numbers” -

“borrowing” – clear crossing out, borrowed

number to left of digit

123 –

15

1

1

4 7 x

2 3

14 1

940

1081

2

1Slide50

Same across all subjects

Use the same methods across all subjects Slide51

Implementing numeracy skills in tutor time

Like literacy with weekly spellings, we will also have a weekly problem of the week

This may be numeracy based or just problem solving

Will start from September as a PowerPoint of problems similar to literacy

Problems will come with a hint, for all tutors to get students started during tutor time

Weekly e-mails will arrive to remind tutors

All tutor groups must have a go during the week

Anyone who then wants to submit an answer will be able to on paper into a box at reception

Rewards for correct answers along with school policy Slide52

1.

What phrase is represented by the diagram? Think Catch phrase

Say what you see!

2.

Try another!

Problems will start with:Slide53

PROBLEM OF THE WEEKSlide54

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 1Slide55

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 2Slide56

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 3Slide57

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 4Slide58

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 5Slide59

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 6Slide60

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 7Slide61

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 8Slide62

Does A, B, C or D fit into this pattern?

Problem of the week: 9Slide63

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 10Slide64

Problem of the week: 11Slide65

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 12Slide66

A, B, C or D – which one fits the pattern?

Problem of the week: 13Slide67

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 14Slide68

Problem of the week: 15Slide69

What phrase is represented by the diagram?

Think Catch phrase

Say what you see!

Problem of the week: 16Slide70

Which one comes next – A, B, C or D?

Problem of the week: 17Slide71

Problem of the week: 18

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide72

Problem of the week: 19Slide73

Problem of the week: 20

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide74

Problem of the week: 21

A, B, C or D – which one fits the pattern?Slide75

Problem of the week: 22

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide76

Problem of the week: 23Slide77

Problem of the week: 24

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide78

Which one comes next – A, B, C or D

?

Problem of the week: 25Slide79

Problem of the week: 26

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide80

Problem of the week: 27

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide81

Problem of the week: 28

A, B, C or D – which one fits the pattern?Slide82

Problem of the week: 29

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide83

Problem of the week: 30Slide84

Problem of the week: 31

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide85

Problem of the week: 32

A, B, C or D – which one fits the pattern?Slide86

Problem of the week: 33

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide87

Problem of the week: 34Slide88

Problem of the week: 35

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide89

Which one comes next – A, B,

C, D or E?

Problem of the week: 36Slide90

Problem of the week: 37

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!Slide91

Problem of the week: 38Slide92

Problem of the week: 39

What phrase is

represented

by the diagram?

Think Catch phrase

Say what you see!