ADDITIONAL MATHEMATICS PROJECT WORK (updated 060413).docx

8/14/2019 ADDITIONAL MATHEMATICS PROJECT WORK (updated 060413).docx

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ADDITIONAL MATHEMATICS PROJECT WORK 2013

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SEKOLAH MENENGAH KEBANGSAAN TUNKU PUTRA

BATU PAHAT, JOHOR.

ADDITIONAL MATHEMATICS PROJECT WORK

YEAR 2013

TITLE: HOUSEHOLD EXPENDITURE SURVEY

NAME: TEO WOON CHUN

FORM: 5 BAKTI

I/C NUMBER: 961022-01-6613

TEACHER: MISS BOON EE SIANG

Submission date: 2ndMay 2013 (Thursday)


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CONTENTS

No. Content Page Remark

1 Objectives 2

2 Appreciation 3

3 Introduction 4

4

PART AFAMILY

MONTHLY

INCOME AND

ITS MONTHLY

ALLOCATION

I Statistical graphs 5 - 6

IIMean and standard

deviation7

III Comments 7

5

PART BFAMILY

MONTHLY

INCOME AND

ITS MONTHLY

ALLOCATION

FROM 5 OF MYFRIENDS

I Data in table form 8 9

IICompare and comment

about finding9

III

Line graph and bar chart :

Education and recreation

for six families

10

Comments 10

IV

Mean, standard deviationfor education and

recreation

11

Comments 11

6

PART CMONTHLY

INCOME:

WEIGHTAGE IN

DEGREE FOR

SIX FAMILIES

IPie chart, bar chart and

ratio form12 13

II Change in monthly income 13

7FURTHER

EXPLOTATION

I

20 Richest And 20 Poorest

Countries In The World

And Their Literal Level

14 15

II Conclusion 15

8 Reflection 16


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OBJECTIVES

We students taking Additional Mathematics are required to carry out a

project work while we are in Form 5.This year the Curriculum Development

Division, Ministry of Education has prepared four tasks for us. We are to chooseand complete only ONE task based on our area of interest. We have to

complete the project work individually. Upon completion of the Additional

Mathematics Project Work, we are to gain valuable experiences and able to:

Apply and adapt a variety of problem solving strategies to solve routine

and non-routine problems

Experience classroom environments which are challenging, interesting

and meaningful and hence improve their thinking skills.

Experience classroom environments where knowledge and skills are

applied in meaningful ways in solving real-life problems Experience classroom environments where expressing ones mathematical

thinking, reasoning and communication are highly

encouraged and expected

Experience a classroom environment that stimulate and enhances

effective learning.

Acquire effective mathematical communication through oral and writing,

and to use the language of mathematics to express mathematical ideas

correctly and precisely

Enhance acquisition of mathematical knowledge and skills through

problem-solving in ways that increase interest and confidence Prepare ourselves for the demand of our future undertakings and in

workplace

Realize that mathematics is an important and powerful tool in solving real-

life problems and hence develop positive attitude towards mathematics.

Train ourselves not only to be independent learners but also to collaborate,

to cooperate, and to share knowledge in an engaging and healthy

environment

Use technology especially the ICT appropriately and effectively

Train ourselves to appreciate the intrinsic values of mathematics and to

become more creative and innovative Realize the importance and the beauty of mathematics.

We are expected to submit the project work within a monthfrom the first day the

task is being administered to us. Failure to submit the written report will result in us

not receiving certificate.


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APPRECIATION

First of all, I would like to say thank you to my friends, teachers and

parents for giving me their full support in making this project successful.

Not forgotten to my family for providing everything, such as money,

to buy anything that are related to this project work and their advise, which

is the most needed for this project. Internet, books, computers and all that

act as my source to complete this project. They also supported me and

encouraged me to complete this task so that I will not procrastinate during

doing this project work.

Next, I would like to thank my teacher, Miss Boon Ee Siang for

guiding me and my friends throughout this project. We had some difficulties

in doing this task, but she taught us patiently and gave me guidance

throughout the journey until we knew what to do. She tried her best to help

us until we understand what we supposed to do with the project work.

Besides, my friends who were doing the same project as mine and

shared our ideas. They were helpful that when we combined and discussed

together, but however, this task was done individually.

Last but not least, any party which involved either directly or indirect

in completing this project work.

Thank you everyone.


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FAMILY MONTHLY INCOME AND ITS MONTHLY ALLOCATION

Based on the table above,

(i) represent your data using three different statistical graphs.

PIE CHART

Food

44%

Utility

12%

Transportation19%

Education13%

Recreation6%

Others

6%

MonthlyIncome

Number of familymembers

CategoriesAllocation ofIncome (RM)

Allocation ofIncome (%)

Food 350 43.75

Utility 100 12.50

800 5 Transportation 150 18.75

Education 100 12.50

Recreation 50 6.25

Others 50 6.25Total 800 100


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BAR CHART

LINE GRAPH

0

5

10

15

20

25

30

35

40

45

50

Food Utility Transportation Education Recreation Others

0

5

10

15

20

25

30

35

40

45

50



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(ii) Find the mean and standard deviation of allocation of income by using at least two

methods.

== 800 = 133.33N 6

1-100 4 49.5 198

101-200 1 150.5 150.5

201-300 0 250.5 0

301-400 1 350.5 350.5

:6 x: 699

== 699 = 116.50 6

COMMENTS:

A traditional list of immediate "basic needs" is food (including water), shelter and

clothing. Many modern lists emphasize the minimum level of consumption of 'basic

needs' of not just food, water, and shelter, but also sanitation, education and health care.

The basic needs for every living person in this world are food, house (rental) and

transportation (for travel to gain the income).

According to my monthly income, food took up the largest value of allocation of

income because we need to eat food every day to live while the transportation took up

second largest value of allocation of income because my brother and I go to school

everydayby using the public transport and also using the concept of car pooling, the cost

transportation can be reducing. Moreover, by making use of school facilities and services,

I no need take up many tuition classes. It can help to reduce tuition fees. Lastly, the

recreation took up least value of allocation income because we should save up the

money for useful purpose and not just use it for entertainment only.

Standard deviation, = = = = 298.14

Variance, 2= -

= 6992116.502

6

= 67861.25

Standard deviation, = = = 260.50


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FAMILY MONTHLY INCOME AND ITS MONTHLY

ALLOCATION FROM 5 OF MY FRIENDS

(i) Collect data from 5 of your friends and tabulate your findings.

FRIEND ATAN EE PING PAULINE (5 AMANAH)

FRIEND BTIU YI JING (5 BAKTI)

FRIEND CLIM LIX MIN (5 BAKTI)

MonthlyIncome




Food 1000 20.00

Utility 1200 24.00


Education 1000 20.00

Recreation 500 10.00

Others 300 6.00

Total 5000 100

MonthlyIncome




Food 600 10.00Utility 700 11.67




Others 800 13.32

Total 6000 100

Monthly

Income

Number of family

members Categories

Allocation of

Income (RM)

Allocation of

Income (%)Food 800 20.00

Utility 500 12.50



Recreation 300 7.50

Others 200 5.00

Total 4000 100


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FRIEND DTAY JIA JIA (5 BAKTI)

FRIEND ELEE HUI XIN (5 BAKTI)

(ii) Compare and comment your findings.

Family Monthly

Income

Number

of family

members

Categories Allocation of

monthly

income (RM)

Food Utility Transp-

ortation

Educ-

ation

Recrea

-tion

Other

WOON

CHUN800 5 350 100 150 100 50 50 800

PAULINE 5000 7 1000 1200 1000 1000 500 300 5000

YI JING 6000 5 600 700 700 2200 1000 800 6000

LIX MIN 4000 6 800 500 400 1800 300 200 4000

JIA JIA 1000 4 300 150 100 300 100 50 1000HUI XIN 2300 8 400 500 600 400 100 300 2300

COMMENTS:

MonthlyIncome




Food 300 30.00Utility 150 15.00


Education 300 30.00


Others 50 5.00

Total 1000 100

MonthlyIncome Number of familymembers Categories Allocation ofIncome (RM) Allocation ofIncome (%)

Food 400 17.39

Utility 500 21.74


Education 400 17.39

Recreation 100 4.35

Others 300 13.04

Total 2300 100


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(iii) Draw on the same axes,

(a) Line graph (b) bar chart

to represent education and recreation categories for six families. Hence, give your comments.

BAR CHART

LINE GRAPH

COMMENTS:

0

500

1000

1500

2000

2500

3000

3500

WOON CHUN PAULINE YI JING LIX MIN JIA JIA HUI XIN

Recreation

Education

0

500

1000

1500

2000

2500

WOON

CHUN

PAULINE YI JING LIX MIN JIA JIA HUI XIN

Education

Recreation


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(iv)Find mean and standard deviation for education and recreation categories by using at

least two methods.

EDUCATIONMEAN

== 5800 = 966.67N 6

1-500 3 249.5 748.5

501-1000 1 750.5 750.51001-1500 0 1250.5 0

1501-2000 1 1750.5 1750.5

2001-2500 1 2250.5 2250.5

:6 x: 5500

== 5500 = 916.67 6

STANDARD DEVIATION

Standard deviation, = =

= 2026.63

Variance, 2= -

= 55002916.672

6

= 4201382.778


COMMENTS:

FamilyCategories Family

Education

Categories

Education Recreation Education Recreation

WOON CHUN 100 50 LIX MIN 1800 300

PAULINE 1000 500 JIA JIA 300 100

YI JING 2200 1000 HUI XIN 400 100

RECREATIONMEAN

== 2050 = 341.67N 6

1-200 3 99.5 298.5

201-400 1 300.5 300.5401-600 1 500.5 500.5

601-800 0 700.5 0

801-1000 1 900.5 900.5

:6 x: 2000

== 2000 = 333.33 6

STANDARD DEVIATION

Standard deviation, = =

= 763.99

Variance, 2=

-

= 20002333.332

6

= 555557.7778



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MONTHLY INCOME: WEIGHTAGE IN DEGREE FOR SIX FAMILIES

(i) Find the weightage in degrees, for each category based on the monthly income foryour family and your family and your five friends.

Hence, represent the weightage of any two families in the form of pie chart, another two

families in the form of bar chart and another two families in ratio form.

BAR CHART

0.00

20.00

40.00

60.00

80.00

100.00

120.00

140.00

160.00

180.00

200.00


YI JING

LIX MIN

FamilyMonthly

Income

Number

of family

members

Categories Allocation

of

monthly

income

(RM)

Food UtilityTransp-

ortation

Educ-

ation

Recrea-

tionOther

WOON

CHUN15.08 51.43 36.52 11.43 18.31 6.21 8.78 10.59 15.08

PAULINE 94.24 72.00 104.35 137.14 122.03 62.07 87.80 63.53 94.24

YI JING 113.09 51.43 62.61 80.00 85.42 136.55 175.61 169.41 113.09

LIX MIN 75.39 61.71 83.48 57.14 48.81 111.72 52.68 42.35 75.39

JIA JIA 18.85 41.14 31.30 17.14 12.20 18.62 17.56 10.59 18.85

HUI XIN 43.35 82.29 41.74 57.14 73.22 24.83 17.56 63.53 43.35

TOTAL 360 360 360 360 360 360 360 360 360


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PIE CHART

Family Categories


TAN PAULINE 1000 1200 1000 1000 500 300

LEE HUI XIN 400 500 600 400 100 300

RATIO FORM 5:2 12:5 5:3 5:2 5:1 1:1

RATIO FORM

(ii) The allocation of monthly income is expected to change next year. Find the

corresponding expected monthly income from the information given for you and yourfive friends.

Food

Utility

Transporta

tion

Education

Recreation

Others

TEO WOON CHUN

Food

Utility

Transportation

Education

Recreation

Others

TAY JIA JIA

Family

Categories Allocation of

monthlyincome (RM)

Food Utility Transpor-tation

Educa-tion

Recrea-tion

Others

WOON CHUN 385 105 150 103 49 55 847

PAULINE 1100 1260 1000 1030 490 330 5210

YI JING 660 735 700 2266 980 880 6221

LIX MIN 880 525 400 1854 294 220 4173

JIA JIA 330 157.50 100 309 98 55 1049.50

HUI XIN 440 525 600 412 98 330 2405


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FURTHER EXPLORATION

20 POOREST COUNTRIES IN THE WORLD

Rank Country Name Literacy Level (%)

1 Congo 83.8

2 Liberia 60.8

3 Burundi 67.2

4 Zimbabwe 90.7

5 Eritrea 67.8

6 Central African Republic 56.0

7 Niger 28.7

8 Sierra Leone 35.1

9 Malawi 74.8

10 Togo 60.9

11 Madagascar 64.5

12 Afghanistan 28.1

13 Mozambique 56.1

14 Guinea 41.0

15 Ethiopia 42.7

16 Guinea Bissau 54.2

17 Comoros 74.9

18 Haiti 52.9

19 Uganda 66.8

20 Rwanda 71.1


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FURTHER EXPLORATION

20 RICHEST COUNTRIES IN THE WORLD

Rate Country Name Literacy Level (%)

1 United States 99.0

2 China 92.2

3 Japan 99.0

4 Germany 99.0

5 France 99.0

6 United Kingdom 99.0

7 Brazil 88.6

8 Italy 98.4

9 Russia 99.6

10 India 61.0

11 Canada 99.0

12 Australia 99.0

13 Spain 97.7

14 Mexico 86.1

15 South Korea 97.9

16 Indonesia 90.4

17 Turkey 87.4

18 Netherlands 99.0

19 Saudi Arabia 86.6

20 Switzerland 99.0

**Malaysia No. 36 (88.7%)

CONCLUSION:
http://en.wikipedia.org/wiki/United_Stateshttp://en.wikipedia.org/wiki/Chinahttp://en.wikipedia.org/wiki/Japanhttp://en.wikipedia.org/wiki/Germanyhttp://en.wikipedia.org/wiki/Francehttp://en.wikipedia.org/wiki/United_Kingdomhttp://en.wikipedia.org/wiki/Brazilhttp://en.wikipedia.org/wiki/Italyhttp://en.wikipedia.org/wiki/Russiahttp://en.wikipedia.org/wiki/Indiahttp://en.wikipedia.org/wiki/Canadahttp://en.wikipedia.org/wiki/Australiahttp://en.wikipedia.org/wiki/Spainhttp://en.wikipedia.org/wiki/Mexicohttp://en.wikipedia.org/wiki/South_Koreahttp://en.wikipedia.org/wiki/Indonesiahttp://en.wikipedia.org/wiki/Turkeyhttp://en.wikipedia.org/wiki/Netherlandshttp://en.wikipedia.org/wiki/Saudi_Arabiahttp://en.wikipedia.org/wiki/Switzerlandhttp://en.wikipedia.org/wiki/Switzerlandhttp://en.wikipedia.org/wiki/Saudi_Arabiahttp://en.wikipedia.org/wiki/Netherlandshttp://en.wikipedia.org/wiki/Turkeyhttp://en.wikipedia.org/wiki/Indonesiahttp://en.wikipedia.org/wiki/South_Koreahttp://en.wikipedia.org/wiki/Mexicohttp://en.wikipedia.org/wiki/Spainhttp://en.wikipedia.org/wiki/Australiahttp://en.wikipedia.org/wiki/Canadahttp://en.wikipedia.org/wiki/Indiahttp://en.wikipedia.org/wiki/Russiahttp://en.wikipedia.org/wiki/Italyhttp://en.wikipedia.org/wiki/Brazilhttp://en.wikipedia.org/wiki/United_Kingdomhttp://en.wikipedia.org/wiki/Francehttp://en.wikipedia.org/wiki/Germanyhttp://en.wikipedia.org/wiki/Japanhttp://en.wikipedia.org/wiki/Chinahttp://en.wikipedia.org/wiki/United_States


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Apart from that, this project encourages the students to work together and share their knowledge.

It is also encourage us to collect information from the internet, improving thinking skills and promote

effective mathematical communication. Not only that, I had learned some moral values that I practice.

This project had taught me to responsible on the works that are given to me to be completed. This project

also had made me felt more confidence to do works and not to give up easily when we could not find thesolution for the question. I also learned to be disciplined and punctual, which I was given about a month

to complete this project and I pass it up to my teacher before two weeks. It shows my efficient in

completing the work given. I also enjoy doing this project and it had tighten our friendship. After by

spending countless hours, days and night to finish this project and also sacrificing our time in this two

weeks, I created a poem to express my feelings:

Additional Mathematics,The killer subject,

But when we study hard,

It was so easy to understand.

Additional Mathematics,

You look so interest,

So unique from the other subjects,

Thats why we like you so much.

After sacrificing our precious time,

Spirit and energy for this project,

And now,We realized something important from it!!!

We are getting addicted to it,

Additional Mathematics,

You are our friend,

You are our family,

And you are our life

WE REALLY LOVE ADDITIONALMATHEMATICS!!!

ADDITIONAL MATHEMATICS PROJECT WORK (updated 060413).docx

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