Download - Kerja Kursus Add Mt
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CONTENT
ACKNOWLEDGEMENT
OBJECTIVES
INTRODUCTION (PART 1)
PART 2
PART 3
PART 4
FURTHER EXPLORATION
CONCLUSION
REFLECTION
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ACKNOWLEDGEMENT
First and foremost, I would like to thank my Additional
Mathematics teacher, Puan Rohani Din as she gives us
important guidance and commitment during this project work.
She has been a very supportive figure throughout the whole
project.
I also would like to also say thanks to all my friends for helping
me and always supporting me to help complete this project work.
They had done a great job sharing information with other people
including me. Without them this project would never have had its
conclusion.
For their strong support, I would like to express my gratitude to
my beloved parent for helping me to find the mark to complete
this project. They have always been by my side and I hope they
will be there in the future.
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OBJECTIVES
The aims of carrying out this project work are:
To apply and adapt a variety of problem- solving
strategies to solve problems
To improve thinking skills
To promote effective mathematical communication
To develop mathematical knowledge through problem
solving in a way that increases students interest and
confidence
To use the language of mathematics to express
mathematical ideas precisely
To provide learning environment that stimulates and
enhances effective learning
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To develop positive attitude towards mathematics
PART I
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INTRODUCTION
Muffin comes in variety forms n flavours and are among favourite
desserts served during special occasions such s birthday parties,
Hari Raya, weddings and others. Muffins are treasured not only
because of their wonderful taste but also in the art of muffin
baking and muffin decorating.
Baking a muffin offers a tasty way to practice math skills such as
fractions and ratios, in a real-world context. Many steps of baking
a muffin such as counting ingredients and setting the oven timer,
provide basic math practice for young children. Older children
and teenagers can use more sophisticated math to solve baking
dilemmas, such as how to make a muffin recipe larger or smaller
or how to determine what size slices you should cut. Practicingmath while baking not only improves your math skills, it helps you
become a more flexible and resourceful baker.
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PART II
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Cute Bakery produce 600 packets of muffin per day with each
packet containing 5 pieces and each muffin has a mass 20 g.Shop operates 5 days a week, 8 hours a day, has 3 employers
who each of them receives salary of RM 150 per day.
The table shows the ratio of the price list and the ingredients
used in making muffins.
Ingredients Price per kilogram(RM)
Ratio
Flour 2.00 5
Milk 8.00 4
Sugar 1.80 2
Egg 4.80 3
Ratio Of The Price List And Ingredients Used In MakingMuffins
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On each day of operation, a total of 25 kg of flour used. Minimum
target for each operation was 20%.
a) The total cost of the ingredients in order to produce a cup
cake.
Flour 20g x 5/14 = 7.143g
Milk 20g x 4/14 = 5.714g
Sugar 20g x 2/14 = 2.857g
Egg 20g x 3/14 = 4.286g
Flour 7.143g/1000g x RM 2 =RM 0.01428
Milk 5.714g/1000g x RM 8 =RM 0.04568
Sugar 2.857g/1000g x RM 1.8 =RM 0.005148
Egg 4.286g/1000g x RM 4.8 =RM 0.020592
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RM 0.01428 + RM 0.04568 + RM 0.005148 + RM 0.020592
= RM 0.0857
b) Utility costs and arcillary materials amounting to RM 500
per day.
i. The total operating costs per day for these shops.
Worker Utilities 3 x RM 150 = RM450
RM 500
RM 450 + RM 500 = RM 950
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ii. The total mass of cakes produce every day.
600 x 5 x 20 = 60000g
= 60kg
Suggestion of a reasonable selling price for each packet of
muffin offered.
Cost material = RM 0.0857 x 600 x 5
= RM 257.10
Utilities cost + Labour = RM 950
RM 257.10 + RM 950 = RM 1207.10
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RM 1207.10 + 20% profit = RM 1448.52 per 600 packet
RM 1448.52/600 = RM 2.4142 per 1 packet
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PART III
During August 2011, Cute Bakery has decided to make all of its
muffins decorated and packed in special packages suitable to
give as gifts or souvenirs. The quantity of production is not
increased and still using the same recipe. Decorative gift
packaging cost at 0.5 cents per gram muffin. It takes 0.9 minutes
to adorned for each size of muffins.
For the purpose of a gift, the smallest size is 20 g per each, while
the largest 60 grams per each. If the mixer can be programmed
to increase the size of the cake produced by an additional 10
grams of each size. Decorating tasks will be performed by
temporary workers. Each part time employees will be paid a
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salary of RM 80 per day. An employee can complete it (all sizes)
in just 0.9 minutes.
Decorating tasks = 0.5 sen per 1g
20g + 30g + 40g + 50g + 60g
= 200g
a)
The number of units for each size muffin that can be produced
per day
60kg/200g = 300 units for each size
b)
The number of workers that should be taken to complete
this decorating task when all muffins will be furnished on the
same day.
300 Units x 5 size = 1500 units
1500 Units x 0.9 min = 1350 minutes
1 worker 8 hours x 60 minutes workers require = 1350/480
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= 480 minutes = 2.8125
= 3 workers
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c)
A schedule of selling prices for each muffin for each size,
with a target profit in this festive season is 25%
Decorating task
20g ( RM 10.00 + 0.0857) + ( 0.0158 X 20 )
30 g ( RM 15.00 + 0.0857 X 3/2 ) + ( 0.0158 X 30 )
40g ( RM 20.00 + 0.0857 X 4/2 ) + ( 0.0158 X 40 )
50g ( RM 25.00 + 0.0857 X 5/2 ) + ( 0.0158 X 50 )
60g ( RM 30.00 + 0.0857 X 6/2 ) + ( 0.0158 X 60 )
Labour + Utilities cost = 60000g RM 950.00
1g RM 950/60000g
1g RM 0.01583/g
20g 10.4023 x 1.25 RM 13.00
30g 15.6035 x 1.25 RM 19.50
40g 20.8046 x 1.25 RM 26.0150g 26.0058 x 1.25 RM 32.51
60g 31.2069 x 1.25 RM 39.01
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PART IV
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At the end of 2011, the owner of Cute Bakery get the information
about changes in prices of ingredient used in the following table.
Ingredient Price index for the year 2012based on the year 2011
Flour 110
Milk 115
Sugar 100
Egg 120
Price index for the year 2012
based on the year 2011
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a) The new price for the resulting packet of muffin in
2012.
Flour 0.01428 x 1.1 = 0.01571
Milk 0.04568 x 1.15 = 0.05253
Sugar 0.005148 x 1.0 = 0.005148
Egg 0.02059 x 1.2 = 0.02471
RM 0.0157 + RM 0.05253 + RM 0.005148 + RM 0.02471
= RM 0.0981
Cost Material = RM 0.0981 x 600 x 5
= RM 294.30
Labour and Utilities = RM 950.00
RM 950.00 + RM294.30
= RM 1244.30
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b) Decorated muffins will be produced in the festive
season in 2012 if the increase in prices of materials used
in the prices of sales of less than 15% compared to the
year 2011. Suggestion of the results is shown by showing
the necessary data in support ot the proposed decision.
RM 1244.30 + 20% profite
RM 1244.30 x 20/100 = RM 248.86
RM 1244.30 + RM 248.86
= RM 1493.16 for 600 packet
1 packet = RM 1493.16/600
= RM 2.4886
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CONCLUSION
While I conducted this project, I have found a lot of information. I
have learnt many useful things about muffin.
Apart from that, this project encourages the student to work
together and share their knowledge. It also encourages students
to gather information from the internet, improve thinking skills
and promote effective mathematical communication.
Not only that, I have learned many moral values throughout
doing the additional mathematic project This project has taughtme to be responsible on the works that are given to me to be
completed. This project also had made me feel more confident to
complete my track and not to give up easily when I could not find
the answers for the questions. I also learned to be more
discipline, completing my task on time and passing the project up
to my teacher.
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I also enjoyed doing this project during my school holidays as I
spent my time with my friends to complete this project and it had
strengthen our friendship.
Last but not least, I propose that this project should be continued
because it brings allot of moral values to the students and also
test the students in understanding additional mathematic.
REFLECTION
Additional Mathematics...From The Day I Born...From The Day I Was Able To Holding Pencil...From The Day I Start Learning...
And..From The Day I Heard Your Name...I Always Thought That You Will Be My Greatest Obstacle
AndRival In Excelling In My Life...But After Countless Of Hours...Countless Of Days...Countless Of Nights...
After Sacrificing My Precious Time Just For You...Sacrificing My Computer Games...Sacrificing My Video Games...Sacrificing My Facebook...Sacrificing My Internet...Sacrificing My Anime...I Realized Something Really Important In You...I Really Love You...You Are My Real Friend...You My Partner...
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You Are My Soul Mate...
I LOVE YOU ADDITIONAL MATHEMATICS.