Statistics excellent

We are learning to:- Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately construct and interpret pie charts. (Levels 5-6)

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

http://www.mistrymaths.co.uk/

LEARNING JOURNEY


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

BRAIN IN GEAR


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


Work out the following Mathematical anagrams:

TASK

EXTENSION

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

RECTOS

TEENSGM

ERCCCINUMFREE

EXAMPLEDITDIONA can be rearranged to make ADDITION

Sector

Segment

Circumference

STARTER

EXTENSIONTASK


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1)Solve the equation:Work out the averages and range for: 3, 3, 5, 7, 7

1)

Mode =No modeMedian = 5Mean = 3 + 3 + 5 + 7 + 7

5 = 5Range = 7 - 3 = 4

2)Work out the value of b – 4ac when a=2, b=4, c=-3

2

24 – 4 x 2 x - 3= 16 +24 = 403)

Reflect the object in the line y = 1 x

x

x

9 𝑥 + 7 = 2 + 49𝑥- 2𝑥 - 2𝑥7 𝑥 + 7 = 49

- 7 - 7

7 𝑥 = 42÷ 7 ÷ 7𝑥 = 6

PIE CHARTS INTERPRETING


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?INTRODUCTORY TASK

1) Write down the fraction shaded below:

2) Write down the percentage shaded below:

INTRODUCTORY EXTENSION1) Work out the following:(a) of 18 (b) of 20 (c) of 28 (d) of 33 (e) of 15 (f) of 56 (g) of 60

2) Work out the following:(a) 10% of 70 (b) 20% of 80 (c) 30% of 60 (d) 60% of 90 (e) 35% of 40

1 2

1 4

3 4

1 3

2 3

1 8

1 16

50% 25% 75% 33.3%.

66.6%.

12.5% 6.25%

x

= 9

x

= 5

x

= 21

x

= 11

x

= 10

x

= 7

x

= 5

10% = 7 10% = 820% =

x2 x216

10% = 630% =

x3 x318

10% = 960% =

x6 x654

10% = 430% =

x3 x312

10% = 4 5% =

÷2 ÷2 2

35% = 14

180° 90° 270° 120° 240° 45° 22.5°



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK 1 (LEVEL 5) – CARD SORT

60 people

60 people

60 people

Match each statement to it’s correct pie chart below:

Sector for orange is 90°

Three-quarters of the class chose green

25% of the class chose red

Half the class chose blue

The section for blue shows 8 people. The

whole class had 32 people



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


Match each statement to it’s correct pie chart:



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK 2 (LEVEL 5) – CARD SORT ANSWERS




Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK 3 (LEVEL 5) – BINGO

Draw a 3 x 3 grid as shown below:

Place any nine numbers below into the grid (repeats forbidden)

6 63 50 0

42 23 9 7 5 13 11 44

27 44 16 21



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


The pie chart represents 18 people. How many chose purple?

9



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner



50



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


The pie chart represents 42 people. How many chose pink?

0



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


The pie chart represents 20 people. How many chose green?

5



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner



23



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


The pie chart represents 39 people. How many chose red?

13



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


The pie chart represents 28 people. How many chose yellow?

7



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


The pie chart represents 22 people. How many chose grey?

11



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


The pie chart represents 36 people. How many chose red?

12



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


The pie chart represents 48 people. How many chose black?

6



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner



21



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner



63



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


How many people are represented by the pie chart?

9 people

9 people

9 people 27



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner



21 people 21 people 42



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner



4411 people11 people

11 people 11 people



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner



2 pe

ople

2 people

2 people2 people2 pe

ople2 people

2 people

2 people 16



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?EXAMPLE 1

1) What is the mode car colour?2) Which colour is represented by the orange sector of the pie chart?

3) What fraction of cars were black?

4) What percentage were either silver or blue?

5) 30 cars were black, how many were surveyed altogether?

BlackOther

= 25%

30 cars

30 cars

30 + 30 = 60 cars



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK 4 (LEVEL 5)

1) What is the least popular sport?2) Which sport does the purple sector represent?

3) What fraction of people chose football as their favourite sport?

4) List the sports from least popular to most popular.

5) 60 people chose football, how many were asked altogether?

RugbyGolf

Rugby,

60 + 60 + 60 =180 people

Cricket, Golf, Boxing, Athletics, Football

60 people

60 people

60 people



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK 4 EXTENSION (LEVEL 5)

Estimate the number who chose each sport given the information above

240 people

Total pie =

240 people

240 people

240 + 240 + 240 = 720 people

120°80°

60°50°

30° 20°

120° = 240 people

1° =÷ 120 ÷ 120

2 people

160 people

120 people10

0 p

eop

le 60 peo

ple

40 people



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


The pie chart shows the types of housing on a new estate. Altogether there were 540 new houses built.

How many are:(a) Detached? (b) Semi-Detached? (c) Bungalows (d) Terraced?

There are 360° in a full pie

90°110°

90360

of 540x

= 135

120360

of 540x

= 180

40360

of 540x

= 60

110360

of 540x

= 165



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1) 900 pupils were asked to vote for their favourite subject. The pie chart shows their responses.

How many voted for:(a) PE? (b) Science (c) Maths?

2) One weekend in Bedale, a café sold 300 drinks. The pie chart illustrates the different drinks that were sold.

How many of the following drinks were sold that weekend:(a) Soft drinks? (b) Tea?

(c) Hot chocolate? (d) Coffee?



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


3) The pie chart illustrates how 450kg of butter sold at a supermarket one week were sold on different days.

How many kilograms of butter were sold on each day of the week?(a) Monday (b) Tuesday (c) Wednesday

(d) Thursday (e) Friday (f) Saturday

4) The pie chart shows the results for 240 tickets a train inspector saw in the morning.

How many of the following tickets did he see that morning:(a) Open return? (b) Season ticket?

(c) Day return? (d) Travel pass?



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


The pie chart below shows the percentage composition of the human body.

For a person weighing 50kg what is their composition of :(a) Water? (b) Proteins? (c) Other dry elements?

70% of 50kg10% = 570% =

x7 x735

35kg

16% of 50kg 1% = 0.516% =

x16 x16 8

8kg

14% of 50kg 1% = 0.514% =

x14 x14 7

7kg



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1) The pie chart shows the various expenditure in publishing a book.

2) The pie chart shows the distribution of overseas tourist traffic from India in one year.

A book costs £1400 to publish. How much does the following cost according to the pie chart:(a) Promotion? (b) Printing (c) Paper

(d) Binding (e) Royalty

If the tourist traffic from India is 20million, how many visit:(a) UK? (b) Others

(c) Japan (d) USA



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


3) The pie chart shows the New York share by value of different companies in 2005

The number of units sold in New York in 2005 was 1500 units. How many of these were:(a) HP? (b) Texas? (c) Apple?

(d) Others? (e) IBM?

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


In a survey, people were asked to indicate which one of the pies they liked the best. The information is given in the table. Display the information in a pie chart.

.TOTAL =

++++

60 360°

360° in a full turn

90°

72°

66°

108°

24°

APPLEPORK

BANOFFEE

CHOCOLATE

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1) In a survey, people were asked to indicate which one of the subjects they liked the best. The information is given in the table. Display the information in a pie chart.

.TOTAL =

++++

36 360°


120°

70°

80°

40°

50°

MATHSENGLISH

SCIENCE

LAN

GU

AG

ES

OTHER

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


2) In a survey, people were asked to indicate their favourite pet. The information is given in the table. Display the information in a pie chart.

.TOTAL =

++++

36 360°


110°

120°

80°

30°

20°

CAT

DOG

FISH

HAMSTER

RABBIT

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


Display the information in a pie chart.

TOTAL =

++++

40 360°


99°

72°

54°

81°

54°.

3) In a survey, people were asked to indicate their favourite food. The information is given in the table.

CEREALTOAST

FRUIT

COOKED

OTHER

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


4) The table below shows the number of goals scored by an ice hockey team. Display the information in a pie chart.

TOTAL =

++++

24 360°


45°

75°

105°

75°

60°.

0

1

2

3

4 or more

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


In a survey, people were asked to indicate which ice cream their liked the best. The information is given in the table. Display the information in a pie chart.

.

TOTAL = 80 360°


14

80of360 =63°

9

80of360 =40.5°

21

80of360 =94.5°

19

80of360 =85.5°

17

80of360 =76.5°

VANILLA

MINT

CH

OC

OLA

TE

STRAWBERRY

ORANGE

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1) The table shows the record of traffic travelling down a road in Cleckheaton. Display the information in a pie chart.

.TOTAL = 270 360°


140270

of360 =187°

70270

of360 =93°55270 of360 =73°

5270

of360 =7°

Leave until end

MOTORBIKES

VANSBUSES

CARS

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


2) In a survey, people were asked to name their favourite food. This is shown in the table below. Display the information in a pie chart.

.TOTAL = 96 360°


22 96

of360 =82.5°

46 96

of360 =172.5°18 96 of360 =67.5°

10 96

of360 =37.5°

BEEF

CHICKEN

PORK

HORSE

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


.

TOTAL = 100 360°


40100

of360 =144°

14100

of360 =50.4° 6100 of360 =21.6°

2100

of360 =7.2°

3) In a survey, people were asked to name their favourite music. This is shown in the table below.

38100

of360 =136.8°

POP

ROCK & ROLL

HEAVY METAL

CLASSICAL

R & B


DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


.

TOTAL = 300 360°


89300

of360 =106.8°

56300

of360 =67.2°53300 of360 =63.6°

78300

of360 =93.6°

4) In a survey, people were asked to name their favourite make of TV. This is shown in the table below.

24300

of360 =28.8°

SAMSUNGSONY

LG

PANASONIC

TOSHIBA


DISCOVERY

LINK BACK TO OBJECTIVES

- Accurately construct and interpret pie charts.


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


What level are we

working at?


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?PLENARY ACTIVITY 1 – EXAM QUESTION (CALCULATOR)

DRAWING PIE CHARTS

(2 marks)

RecyclingA teacher asked her pupils if they recycled newspapers and glass. The pie chart shows the results.

5 pupils answered ‘Neither.’ How many pupils answered ‘Newspapers only’? Show

your working5 pupils 60° = 5 pupils

1° =÷60 ÷60

96° =x96 x96

8 pupils

8 pupils


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


DRAWING PIE CHARTS

Mathstown Rovers played 40 football matches. The table shows information about their results.

(2 marks)

Draw an accurate pie chart to show this information.

Won Drawn Lost

18 9 13

Total40

18 40

of 360

=162°

9 40

of 360

=81°

13 40

of 360

= 117°WON

DRAWNLOST

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about constructing and interpreting pie charts. 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


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


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)


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


www.mistrymaths.co.uk




Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?INTRODUCTORY TASK

1) Write down the fraction shaded below:

2) Write down the percentage shaded below:

INTRODUCTORY EXTENSION1) Work out the following:(a) of 18 (b) of 20 (c) of 28 (d) of 33 (e) of 15 (f) of 56 (g) of 60

(a) 10% of 70 (b) 20% of 80 (c) 30% of 60 (d) 60% of 90 (e) 35% of 40



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


60 people

60 people

60 people


Sector for orange is 90°

Three-quarters of the class chose green

25% of the class chose red

Half the class chose blue

The section for blue shows 8 people. The

whole class had 32 people



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


Match each statement to it’s correct pie chart:



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1) What is the least popular sport?2) Which sport does the purple sector represent?

3) What fraction of people chose football as their favourite sport?

4) List the sports from least popular to most popular.

5) 60 people chose football, how many were asked altogether?



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK 4 EXTENSION (LEVEL 5)

Estimate the number who chose each sport given the information above

240 people



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1) 900 pupils were asked to vote for their favourite subject. The pie chart shows their responses.

How many voted for:(a) PE? (b) Science (c) Maths?

2) One weekend in Bedale, a café sold 300 drinks. The pie chart illustrates the different drinks that were sold.

How many of the following drinks were sold that weekend:(a) Soft drinks? (b) Tea?

(c) Hot chocolate? (d) Coffee?



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


3) The pie chart illustrates how 450kg of butter sold at a supermarket one week were sold on different days.

How many kilograms of butter were sold on each day of the week?(a) Monday (b) Tuesday (c) Wednesday

(d) Thursday (e) Friday (f) Saturday

4) The pie chart shows the results for 240 tickets a train inspector saw in the morning.

How many of the following tickets did he see that morning:(a) Open return? (b) Season ticket?

(c) Day return? (d) Travel pass?



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1) The pie chart shows the various expenditure in publishing a book.

2) The pie chart shows the distribution of overseas tourist traffic from India in one year.

A book costs £1400 to publish. How much does the following cost according to the pie chart:(a) Promotion? (b) Printing (c) Paper

(d) Binding (e) Royalty

If the tourist traffic from India is 20million, how many visit:(a) UK? (b) Others

(c) Japan (d) USA



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


3) The pie chart shows the New York share by value of different companies in 2005

The number of units sold in New York in 2005 was 1500 units. How many of these were:(a) HP? (b) Texas? (c) Apple?

(d) Others? (e) IBM?

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1) In a survey, people were asked to indicate which one of the subjects they liked the best. The information is given in the table. Display the information in a pie chart.

.

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


2) In a survey, people were asked to indicate their favourite pet. The information is given in the table. Display the information in a pie chart.

.

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


Display the information in a pie chart.3) In a survey, people were asked to indicate their favourite food. The information is given in the table.

.

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


4) The table below shows the number of goals scored by an ice hockey team. Display the information in a pie chart.

.

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1) The table shows the record of traffic travelling down a road in Cleckheaton. Display the information in a pie chart.

.

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


2) In a survey, people were asked to name their favourite food. This is shown in the table below. Display the information in a pie chart.

.

DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


3) In a survey, people were asked to name their favourite music. This is shown in the table below.

.


DRAWING PIE CHARTS


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


4) In a survey, people were asked to name their favourite make of TV. This is shown in the table below.

.



Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


DRAWING PIE CHARTS

(2 marks)

RecyclingA teacher asked her pupils if they recycled newspapers and glass. The pie chart shows the results.

5 pupils answered ‘Neither.’ How many pupils answered ‘Newspapers only’? Show

your working


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


DRAWING PIE CHARTS

Mathstown Rovers played 40 football matches. The table shows information about their results.

(2 marks)

Draw an accurate pie chart to show this information.

Won Drawn Lost

18 9 13

Statistics excellent

Education

Transcript of Statistics excellent