ADDITIONAL MATHEMATICS PROJECT WORK 2013 SELANGOR...
Transcript of ADDITIONAL MATHEMATICS PROJECT WORK 2013 SELANGOR...
ADDITIONAL
MATHEMATICS
PROJECT WORK 2013
SELANGOR
(PROJECT 2) NAME:Wan Nur Emilly Bt Wan Mohd Ariffin
CLASS:5 Science3
NO I.C:960329105456
TEARCHER NAME:PUAN ROIAMAH BASRI
˅ CONTENT ˅
content page
1. rubric 2
2.
content 3
3. introduction 4
4. objective 5
5. Appreciate 6
6. Part 1 7-9
Part 2 10-13
Part 3 14-16
Part 4 18
Reflection 19
OBJECTIVE
The aims of carrying out project work are :
i) To apply and adapt a variety of problem – solving
strategies to solve problems;
ii) To improve thinking skills
iii) To promote effective mathematical communication
iv) To develop mathematical knowledge through problem
solving in a way that increases students interest and
confidence
v) To use the language of mathematical to express
mathemical ideas precisely
vi) To provide learning environment that stimulates and
enhances effective learning
vii) To develop positive attitude towards mathematics
APPRECIATE
First of all, I wish to express gratitude to Allah s.w.t for his guidance and also giving me the
strength to do this project work. Finally, the additional mathematics project work was
successfully completed with the inspiration, the gift and the instruction were given by Him.
Not forgotten my parents for providing everything, such as money, to buy anything that are
related to this project work and their advise, support which are the most needed for this
project. Internet, books, computers and all that. They also supported me and encouraged me to
complete this task so that I will not procrastinate in doing it. Beside that My father teacher at
SMK taman tasik , ampang, Selangor puan rhoimah for sharing ideas to ensure our task will
finish completely.
Then I would like to thank my teacher, for guiding me and my friends throughout this
project. We had some difficulties in doing this task, but she taught us patiently until we knew
what to do. She tried and tried to teach us until we understand what we supposed to do with
the project work.
Last but not least, my friends who were doing this project with me and sharing our ideas.
They were helpful that when we combined and discussed together, we had this task done.
INTRODUCTION
(source: http://www.scribd.com/doc/33106504/Add-Math-Complete-task4-2010-sample) History of Index Number Index numbers are meant to study the change in the effects of such factors which cannot be measured directly. According to Bowley, Index numbers are used to measure the changes in some quantity which we cannot observe directly´. For example, changes in business activity in a country are not capable of direct measurement but it is possible to study relative changes in business activity by studying the variations in the values of some such factors which affect business activity, and which are capable of direct measurement. Index numbers are commonly used statistical device for measuring the combined fluctuations in a group related variables. If we wish to compare the price level of consumer items today with that prevalentten years ago, we are not interested in comparing the prices of only one item, but in comparing some sort of average price levels. We may wish to compare the present agricultural production or industrial production with that at the time of independence. Here again, we have to consider all items of production and each item may have undergone a different fractional increase (or even a decrease). How do we obtain a composite measure This composite measure is provided by index numbers which may be defined as advice for combining the variations that have come in group of related variables over a period of time, with a view to obtain a figure that represents the result of the change in the constitute variables. Index numbers may be classified in terms of the variables that they are intended to measure. In business, different groups of variables in the measurement of which index number techniques are commonly used are (i)price,(ii) quantity, (iii) value and (iv) business activity. Thus, we have index of wholesale prices, index of consumer prices, index of industrial output, index of value of exports and index of business activity, etc. Here we shall be mainly interested in index numbers of prices showing changes with respect to time, although methods described can be applied to other cases. In general, the present level of prices is compared with the level of prices in the past. The present period is called the current period and some period in the past is called the base period. Index Numbers Index numbers are statistical measures designed to show changes in a variable or group of related variables with respect to time, geographic location or other characteristics such as income, profession, etc. A collection of index numbers for different years, locations, etc., is sometimes called an index series. Simple Index Number A simple index number is a number that measures a relative change in a single variable with respect to a base. Composite Index Number A composite index number is a number that measures an average relative changes in a group of relative variables with respect to a base.
PART 1
(a)Describe in brief
(i) price index,
(ii) weightage
(iii) composite index
Answer
Price index
An index number expressing the level of a group of commodity prices relative to
the level of the prices of the same commodities during an arbitrarily chosen base
period and used to indicate changes in the level of prices from one period to
another.
Weightage
The assignment of a quota(as of members of a legislature)to a particular segment
of the population as a special favor or concession in a proportion above that
allowable on a strictly numerical basis.
Composite index
A grouping of equities, indexes or other factors combined in a standardized way,
providing a useful statistical measure of overall market or sector performance
over time.
(b) state four ways of weightage representations.Find the examples of the
representations using internet or any printed materials.
i) Pie chart
ii) Bar Chart
iii) Percentage
pie chart
1st Qtr 2nd Qtr 3rd Qtr 4th Qtr
0
1
2
3
4
5
6
Category 1 Category 2 Category 3 Category 4
Series 1 Series 2 Series 3
PART2
We often hear complaints from the public about inflation. It causes an increase in
the household expenditure in a family.
The household expenditure for every family is different.
a)Complete Table 1 for your family’s monthly expenditure for thr year 2013.
Monthly salary
Number of family members
Item Average monthly expenditure for the year 2013 (to the nearest RM)
Percentage of monthly expenses (to the nearest %)
RM 6000
5
Food 1200 20.0
Accommodation (Rental/Loan)
240 4.0
Transportation (Petrol/loan/bus fare etc)
600 10.0
Clothing 240 4.0
Education 1500 25.0 Recreation 210 3.5
Utilities (Water/Electricity/Telephone)
210 3.5
Medication 300 5.0 Miscellaneous 1500 25.0
TOTAL 6000 100
b) If we want to compare the cost of living from one year to another, we
have to calculate the price index that involves some of the items
mentioned above.
(i) In order to calculate the price index of all the items above, we have to
consider the average monthly expenses of any previous year as the base
year.
Answer:
Item Average monthly expenses for the base year 2008 (RM)
Food 700 Accommodation
(Rental/Loan)
200
Transportation (Petrol/Loan/Bus fare etc)
450
Clothing 120 Education 1000
Recreation 150 Utilities
(Water/Electricity/Telephone) 180
Medication 200
Miscellaneous 1000
TOTAL 4000
(ii) Hence, complete Table 2 below
Item
Average monthly expenses for the year 2008 as the base year (RM)
Average monthly expenses for the year 2013 (RM)
Food 700 1200 Accommodation
(Rental/Loan) 200 240
Transportation (Petrol/Loan/Bus fare etc)
450 600
Clothing 120 240
Education 1000 1500
Recreation 150 210 Utilities
(Water/Electricity/Telephone) 180 210
Medication 200 300
Miscellaneous 1000 1500 TOTAL 4000 6000
TABLE 2
(c) (i) Complete Table 3 on the above information.
Item Price Indices for the year 2013 based on
the year 2008
Weightage
Food 171.43 20.0
Accomodation(Rental/Loan) 120.00 4.0 Transportation(Petro/Loan/Bus fare
etc) 133.33 10.0
Clothing 200.00 4.0
Education 150.00 25.0
Recreation 140.00 3.5 Utilites(Water/Electricity/Telephone) 116.67 3.5
Medication 150.00 5.0 Miscellanous 150.00 25.0
TOTAL 1331.43 100
Table 3
Formula to calculate price index :
ii) Hence, calculate the composite index for the average monthly expenditure in the year 2013 based on the selected base year. Answer : Formula to calculate composite index : Formula ;
=209.97
(d) Make a conclusion about your family's expenditure based on your findings. Answer : The conclusion is the conjecture is correct. Conjecture is average money expenses for year 2012 is to be lower than year 2013.
I = price index/index number
W = weightage
PART 3
Your family is planning to buy a new television set.
(a) You have conducted a survey on the price of the television for two different brands from three different shops. You would like to make a comparison between two modes of payment, namely, cash payment and payment by installment.
Table 4 (a) shows the prices of televisions by cash payment in three different shops whereas Table 4(b) shows the prices of televisions by installment. Complete Table 4 (a) and 4(b) using the data you obtained
Answer:
Brand Size of TV (Inches)
Price (RM) Mean Price(RM)
Standard deviation
(RM) Shop A Shop B Shop C
samsung 24 988 788 888 888.00 81.65
32 1788 1599 1690 1693.33 1685.61 40 2888 2500 2300 562.67 2512.02
penasonic 24 788 699 999 828.67 125.78 32 969 848 1200 1005.67 1010.70
40 1288 1269 1499 1352.00 104.23
TABLE 4(a)
Brand
Price (RM) Mean price (RM)
Standard deviation (RM)
Hup liong Ramli electronics
and hardware
TS
24 1383.2 945.6 1154.4 1161.07 178.69
32 2503.2 1918.8 2197.0 2206.33 238.70
40 4043.2 3000.0 2990.0 3344.40 494.14
SH
24 1103.2 838.8 1298.7 1080.23 188.47
32 1356.6 1017.6 1560.0 1311.40 223.73
40 1803.2 1522.8 1948.7 1758.23 176.79
Table4(b)
b)
I want to buy a size 32 inch TS television. This is because there are only five
member sin my family and only requires medium-sized television for our living
room. I choose this brand because I am confident of its quality as our family has
long been using
this brand for other electrical appliances in our home. Although the brand TS is m
oreexpensive than the brand SH, our family still can afford to buy it. I plan to buy
from Ramli Electronics & Hardware store because they offer 2 years of warranty.
In addition, they also offer the lowest price of televisions compared to the other
two shops.
c)
If I am one of the panel for the award, I would prefer Ramli Electronics
& Hardwareshop because the mean price of all types of television for both brands
is the lowest compared to the other two shops. Standard deviation for the
telivisons at the shop isalso the lowest. It shows that the prices of television
offered by the Ramli Electronics& Hardware shop is reasonable and affordable.
Part 4
a)The average monthly expenditure that you have modified in a table
Item Average monthly expenditure (RM)
Modified expenditure (RM)
food 1200 1200
Accomondation (rental/loan) 240 240
Transportation (petrol/loan/bus fare etc)
600 500
Clothing 240 50
Education 1500 1300
Recreation 210 100
Utilities (water/electricity/telephone)
210 210
Medication 300 150
miscellaneous 1500 750
television - 1500
TOTAL 6000 6000
Item Average monthly expenditure (RM)
Food 400
Accommodation (rental/loan) 300
Transportation (petrol/loan/bus fare etc) 200
Clothing 100
Education 100
Recreation 50
Utilities (water/electricity/telephone) 100
Medication 100
Savings 250
Parents 600
Miscellaneous 300
TOTAL 2500
CONCLUSION Rich countries are able to achieve high level of literacy instead only a few poor countries achieved stable literacy level.
REFLECTION
While I conducting this project, a lot of information that I had
found. I have learnt how index number appear in our daily life.
Apart from that, this project encourages the student to
work together and share their knowledge. It is also encourage
student to gather information from the internet, improve
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 easily when we could not find the solution for the
question. I also learned to be more discipline on time, which I
was given about three weeks to complete this project and pass
up to my teacher just in time. I also enjoy doing this project I
spend my time with friends to complete this project and it had
tighten our friendship. Last but not least, I proposed this
project should be continue because it brings a lot of moral
value to the student and also test the students understanding
in Additional Mathematics.
END OF PROJECT…