We are learning to:- Enhance our Mathematical learning skills. (Which Enterprise skills?) - Accurately interpret different statistical diagrams. (Level 5)

Always aim high!LESSON OBJECTIVES

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise SkillsWhich ones are you

using?

AUTHORWhere are we in

our journey?

Real life cross/curricular

links?www.mistrymaths.co.uk

LEARNING JOURNEY

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

BRAIN IN GEAR

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

Work out the following Mathematical anagrams:

TASK

EXTENSION

Develop your own Mathematical anagrams as above as a creative entrepreneur.

PINTERRET

VEEARAG

TERREPSEN

EXAMPLEDITDIONA can be rearranged to make ADDITION

Interpret

Average

Represent

STARTER

EXTENSIONTASK

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

1)Convert to an decimal and percentage:

1) Work out the volume and surface area of the cuboid below:= 45%

2) (a) 7 2 +

3 1

X 3

X 3

X 7

X 7

21+

21

6 7=

= 2113

(b) 8 5 ÷

4 3

8x

3

5 4=

=20

24 6 5

=

4cm

= 0.45

Work out the averages and range for: 2, 3, 3, 7, 10

3)

Mode =3Median = 3Mean = = 5Range =10 - 2 = 8

5cm2cm

Volume of a cuboid = l x w x hVolume of a cuboid = 5 x 2 x 4Volume of a cuboid = 40cm3

Surface Area = 2lw + 2hw + 2lhSurface Area = 2 x5x 2 + 2 x 4 x 2 + 2x 5 x

Surface Area = 20 + 16 + 40

Surface Area =

4

76cm2

Creative Entrepreneur

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Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS NAME AS MANY DIFFERENT STATISICAL DIAGRAMS

AS YOU CAN – MINI-WHITEBOARDS

STATISTICAL DIAGRAMS

Bar chartPie chart

Line graph

Frequency polygon

Histogram

Scatter graphPictograms

OTHERS?

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Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS CHOOSING AN APPROPRIATE STATISTICAL DIAGRAM

DISCRETE DATA CONTINUOUS DATAType that can be counted or clothing size

Type that can be measured

Number of screws in a boxShoe/Dress sizes

Temperature, height, weight and time

REPRESENTING DISCRETE DATAREPRESENTING CONTINUOUS DATA

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Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS BAR CHART

A bar chart is the most common type of diagram, and is frequently used.

- If the data is continuous there should be no gap between the bars.

- It can be very clear and easy to read.

- It can represent data expressed as actual numbers, percentages and frequencies. - A bar chart can represent either discrete or continuous data. - If the data is discrete there should be a gap between the bars.

KEY POINTS

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Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS HISTOGRAM

A histogram looks similar to a bar chart, but in this case the area of the bar or rectangle varies with the data, rather than just the length.

- It can only be used to represent continuous data. - It can represent data expressed as actual numbers, percentages and frequencies. - It is really only of value if the reader gets more information from a chart where the classes are different sizes.

KEY POINTS

- It is not always suitable for large quantities of data. You do not necessarily need one picture per piece of data (in the diagram above, one picture represents two pets). However, you may still need to show smaller quantities (eg half a picture represents one pet) and it may be hard to read if divided further.

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Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS PICTOGRAM

A pictogram uses pictures or symbols to represent a number of units of data. The pictures usually relate to the data shown.

- Some pictograms can vary the size of the symbols rather than the number. Do not use this, unless you are confident. It should be the area of the picture that increases in proportion to the frequencies rather than the length, otherwise this can be misleading.

- These can be some of the most visually appealing diagrams to use. - They are often used as part of advertising campaigns. - Make sure that it is appropriate for your needs, don’t let the medium get in the way of the message. It can be tempting to use pretty pictures but these may make the information less clear; they may also trivialise the topic.

KEY POINTS

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Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS PIE CHART

A pie chart shows data in terms of proportions of a whole. The 'pie' is divided into sectors that represent this proportion. This is done by dividing the angles at the centre.

- It is best used to present the proportions of a sample. - It is most useful where one or two results dominate the findings. - It can represent data expressed as actual numbers or percentages. - Do not use where there are a large number of categories, or where each has a small, fairly equal share, as this can be unclear.

KEY POINTS

TASK (LEVEL 5) – CAROUSEL ACTIVITY

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS

As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered.

2 minutes

End

Click to start

3Bus

30

TASK (LEVEL 5) – CAROUSEL ACTIVITY

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS

As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered.

2 minutes

End

Click to start

LondonJuly (London) and August (Edinburgh)

2 hours

TASK (LEVEL 5) – CAROUSEL ACTIVITY

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS

As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered.

2 minutes

End

Click to start

Blue10%

Green and Purple10

Shows all the information in one bar and consumes little space

TASK (LEVEL 5) – CAROUSEL ACTIVITY

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS

As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered.

2 minutes

End

Click to start

32

61-80marks

1561 & 99

Middle of the group range

TASK (LEVEL 5) – CAROUSEL ACTIVITY

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS

As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered.

2 minutes

End

Click to start

ITVChannel 5

Sky 1Around 20

TASK (LEVEL 5) – CAROUSEL ACTIVITY

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

STATISTICAL DIAGRAMS

As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered.

2 minutes

End

Click to start

15°C17°C

9°CShows the trend and approximate temperature

at any time can be read off.

EXTENSION (LEVEL 6)

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

1) Investigate which other subjects in school make use of statistical diagrams. Find examples in textbooks from other subjects to show where statistical diagrams are used most effectively.

STATISTICAL DIAGRAMS

2)Make a display to show the variety of diagrams used in the press. Which are most common? How effectively do they show the information? Are any of them misleading and why?

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?MINI PLENARY ACTIVITY – COMPANY ACCOUNTS

STATISTICAL DIAGRAMS

Both these companies are big competitors. If you had to invest your money into one of these companies, which one would it be? Examine the tables

above and give at least three valid reasons why in pairs.

TASK

DISCOVERY

LINK BACK TO OBJECTIVES

- Accurately interpret different statistical diagrams.

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

What level are we

working at?

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?PLENARY ACTIVITY – UK ECONOMY

STATISTICAL DIAGRAMS

TASK

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about interpreting different statistical diagrams. It can be a skill or a

reflection, or something else that might be prominent in your brain.

What level are we

working at?

Where are we in our

journey?

.

How well do you understand the task?

I don’t understand

I nearly understand

I fully understand

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

SELF ASSESSMENT

Plenary Activity

www.mistrymaths.co.uk

SELF ASSESSMENT

Plenary Activity

On your post it notes…

Think about how you can improve your

work.

WWW (What Went Well)

EBI (Even Better If)

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

www.mistrymaths.co.uk