96395060 Melaka Add Math Project Work 2 2012

Zaidul Ariff Project Additional Mathematics Work 2 SPM 2012

SEKOLAH BERASRAMA PENUH

INTEGRASI SELANDAR, MELAKA

NAME : ZAIDUL ARIFF BIN ABDUL MALEK

CLASS : 5 AL-RAZI

I/C No : 950201-03-6587

TEACHER : EN. AMIRULFAIZAN BIN AHMAD

CONTENTS

NO CONTENT PAGE

ADDITIONAL

MATHEMATICS

PROJECT WORK 2/2012


1 OBJECTIVES

2 ACKNOWLEDGEMENT

3 INTRODUCTION

4 PART 1

PART 1 (a)

PART 1 (b)(i)

PART 1 (b)(ii)

5 PART 2

6 PART 3

7 FURTHER EXPLORATION

8 CONCLUSION

9 REFLECTION

OBJECTIVES

The aims of carrying this project works 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 to problem solving in a way that increases student

interest and confidence

To use the language of mathematics to express mathematical ideas precisely

To develop positive attitude towards mathematics

Acknowledgements

We praise Allah for His favour to us in completing this project work. Our gratitude to the

Almighty for good health and compelling strength throughout this research and project. First and

foremost, I would like to say thanks to Principal of Sekolah Berasrama Penuh Integrasi Selandar,


Melaka, Ayahanda En. Karim Bin Bayok who allows us to create AdditionalMathematics Project

Work 2 Folio 2012 until it is done. I would like to say extremely thankful to our additional

mathematic teacher,En. Amirulfaizan for sacrificing his precious time for us. Also thanks to my

parents, En. Abdul Malek bin Alias and Pn. Nublini bt. Hj Mohd Ghazali for their support and

always help me to finish this folio. Their invaluable guidance, advices and subtle direction of our

effort throughout the development of this research are much appreciated.I am deeply grateful to

our friends and families for helping us out. Their concerning and guidance help me in completing

this assignment. Hopefully God may bless your kindness.

Thank you.

Introduction

There are are a lot of things around us related to the food especially about the

calories intake in our daily life. Have you ever chart your calories? Our body burn the

calories obtained from food for energy. Many people pay close attention to the number

of calories they consume each day. Some may be concerned with losing or gaining


weight, while others simply wish to keep track of what they eat.For many people ,

becoming aware of their caloric intake is an important part of understanding the body’s

overall nutritional needs.

For years now, calories have been all the rage -- people are counting them and

cutting them, and you'd be hard-pressed to find something at the supermarket that does

not list its calories per serving somewhere on the package. But have you ever wondered

what exactly a calorie is?

In this article, we'll find out what calories are and why we need them, and examine the

relationship between calories and weight.

Definition

A calorie is a measure of energy expenditure. The calories referred to in diet and exercise

are kilocalories (kcal) - 1000 of the calories referred to in science labs for measuring chemical

reactions.


A pound of fat stores 3500 calories (kcal). To lose a pound of fat a week a person must

eat approximately 500 fewer calories (kcal) per day than he/she expends.

The range of daily calorie burning is from 1600 for a sedentary woman or older people to

2800 for active men, very active women and teenage boys. Walking expends approximately 100

calories per mile for a 150 pound person.

Pronunciation: cal er ee

Common Misspellings: calourie

Examples:

I will walk for 3.5 miles to burn off the calories in that Snickers bar.

History

The calorie was not a unit of heat in the original metric system. Some histories state that a

defined Calorie (modern kcal) originated with Favre and Silbermann in 1852 or Mayer in 1848.

However, Nicholas Clément introduced Calories in lectures on heat engines that were given in


Paris between 1819 and 1824. The Calorie was already defined in Bescherelle's

1845 Dictionnaire National. In 1863, the word entered the English language through translation

of Ganot's popular French physics text, which defined a Calorie as the heat needed to raise the

temperature of 1 kg of water from 0 to 1°C. Berthelot distinguished between g- and kg-calories

by 1879, and Raymond used the kcal in a discussion of human energy needs in an 1894 medical

physiology text. The capitalized Calorie as used to indicate 1 kcal on U.S. food labels derives

from Atwater's 1887 article on food energy in Century magazine and Farmers' Bulletin 23 in

1894. Formal recognition began in 1896 when the g-calorie was defined as a secondary unit of

energy in the cm-g-s measurement system. The thermal calorie was not fully defined until the

20th century, by which time the nutritional Calorie was embedded in U.S. popular culture and

nutritional policy.



Guidelines for the Implementation ofAdditional Mathematics Project Work 2012

1. Every student taking Additional Mathematics is required to carry out a project work in Form 5.

2. The aims of carrying out this project work are to enable students to:a) apply mathematics to everyday situations and appreciate the importance and the beauty of

mathematics in everyday lives;b) improve problem-solving skills, thinking skills, reasoning and mathematical communication;c) develop positive attitude and personalities and intrinsic mathematical values such as accuracy,

confidence and systematic reasoning;d) stimulate learning environment that enhances effective learning, inquiry-based and team-

work.e) develop mathematical knowledge in a way which increases students’ interest and confidence.

3. The project work can be done in groups or individually but each student is expected to submit an individual written report. The written report should emphasise among others problem-solving strategies, communication in mathematics and reasoning, as clearly outlined in the rubric. The

duration to complete this project work should not exceed three weeks.

4. The task and the rubric are to be distributed to the students together with the guidelines. Teachers need to discuss with their students the content of the guidelines and the rubric so that’ students are able to gauge the needs and requirements to complete their project work. It is also necessary that teachers organize, guide and monitor groups so that each member of the group

would be able to work effectively as a team.

5. The individually written report must be handed in by the end of the third week. Students’ written report will be marked according to the rubric. Oral presentation by the students is highly

encouraged in order to develop social skills and presentation skills.

6. The use of technology such as graphing calculator and computer software is strongly encouraged. Using software such as Microsoft Excel, Geometer’s Sketchpad and GeoGebra as

aids in solving problems will enable complex calculations to be solved much easier besides giving the students experience and useful skills in using technologies.

7. It is suggested that this project work contributes 10% of the marks for the trial examination of the Sijil Pelajaran Malaysia (SPM). Certificates will be awarded to students who hand in their

written reports. Certificates are based on the following scores and grades.


PART I

For this part of the project, you will have to work individually.

(a) Make a list of the number of calories per serving of at least ten common or popular food amongst Malaysians.

(b) Record the number of calories you consume over a one-week period (seven days). At the end of the period, you will find your average calorific consumption and write a brief

summary of your findings. Use the chart shown to record the number of calories contained in each food you eat at every meal including snacks.

(c) Find the recommended average daily caloric intake amounts recommended by the Malaysian government and compare that to your average daily caloric intake.

CHARTING YOUR CALORIES

Our body burn the calories obtained from food for energy. Many people pay close attention to the number of calories they consume each day. Some may be concerned with losing or gaining weight, while others simply wish to keep track of what they eat.For many people , becoming aware of their caloric intake is an important part of understanding the body’s overall nutritional needs.


NUMBER OF CALORIES PER SERVING OF MALAYSIAN FOODS

Ayam Masak MerahServing Size: 110g, Calories: 81.6, Fat: 4.8g, Carbs: 1.8g, Protein: 7.8g

Char Kuey TeowServing Size: 1plate, Calories: 321.9, Fat: 15.5g, Carbs: 36.2g, Protein: 9.4g

Fish Head CurryServing Size: 414 g, Calories: 385, Fat: 2g, Carbs: 0g, Protein: 18g

Kuih Seri MukaServing Size: 99 g, Calories: 192.2, Fat: 0g, Carbs: 35.9g, Protein: 3.6g

Penang Asam LaksaServing Size: 1 bowl, Calories: 432, Fat: 2g, Carbs: 83g, Protein: 21.1g

Nasi AyamServing Size: 250 g, Calories: 277.2, Fat: 3.2g, Carbs: 46g, Protein: 16.1g

Nasi GorengServing Size: 330 g, Calories: 637.9, Fat: 25.1g, Carbs: 86.8g, Protein: 16.2g

Nasli LemakServing Size: 230 g, Calories: 389.5, Fat: 13.1g, Carbs: 58.2g, Protein: 9.7g

Teh TarikServing Size: 1 cup, Calories: 142, Fat: 0g, Carbs: 22.8g, Protein: 4g

TomYam ChickenServing Size: 400 g, Calories: 204.6, Fat: 7g, Carbs: 12.4g, Protein: 25g


CALORIES CONSUME OVER A ONE-WEEK PERIOD

Meal Plan for a whole day :

MONDAY

BREAKFASTFried rice - 1 plate 400.70 calMilk, Low Fat (Susu Lemak Rendah) - 240 gram 207.50calSubtotal 608.20 cal

LUNCHWater (Air Kosong) - 8 oz 0.00 calNasi Goreng - 1 plate 637.90calFruit 137.00calSubtotal 774.90cal

SNACK ( TEA)Tea Tarik - 120gram 148.55calCookies - 2pieces 292.20calSubtotal 440.75cal

DINNERNasi Putih (White Rice) - 1 plate 166.50calFish Curry 433.00calWater (Air Kosong) - 8 oz 0.00 calVegetables, mixed - 1 plate 157.40calSubtotal 756.90cal

LATE NIGHT SNACKTea Tarik - 120gram 148.55calWholemeal bread - 2 slices 257.40calSubtotal 423.95calTotal 3004.70cal


TUESDAY

BREAKFASTCereal For Breakfast - 3Ogram 209.00 cal3 in 1 MILO packet 218.10calSubtotal 427.10 cal

LUNCHWater (Air Kosong) - 8 oz 0.00 calNasi Ayam - 1 plate 477.20calVegetables - 1 plate 257.40calFruit 137.00calSubtotal 871.60cal


DINNERNasi Putih (White Rice) - 1 plate 166.50calChicken, soup - 200gram 201.30calFruit 137.00calWater (Air Kosong) - 8 oz 0.00 calVegetables, mixed - 1 plate 257.40calSubtotal 762.20cal

LATE NIGHT SNACKMilk, Low Fat (Susu Lemak Rendah) - 240 gram 207.50 calWholemeal bread - 4 slices 514.80calSubtotal 722.30calTotal 3023.95cal

WEDNESDAY

BREAKFASTNasi Lemak - 1 plate 389.50 cal3 in 1 MILO packet 118.10calSubtotal 507.60 cal

LUNCHWater (Air Kosong) - 8 oz 0.00 calChicken curry with rice - 1 plate 470.70calVegetables mixed - 1 plate 257.40calFruit 137.00calSubtotal 865.10cal

SNACK ( TEA)Nescafe 3 in 1 88.70calCookies - 2pieces 192.20calSubtotal 280.90cal

DINNERNasi Goreng(fried rice) - 1 plate 637.90calWater (Air Kosong) - 8 oz 0.00 calFried Chicken 232.20calSubtotal 870.10cal

LATE NIGHT SNACKBread, white - 2 slices 242.80calTeh Tarik 148.55calSubtotal 391.35calTotal 2915.65cal


THURSDAY

BREAKFASTNasi Goreng (fried rice) -330gram 637.90 calTeh Tarik 148.55calSubtotal 735.60 cal

LUNCHWater (Air Kosong) - 8 oz 0.00 calNasi putih (White Rice) - 1 plate 166.50calVegetables mixed - 1 plate 257.40calFried Chicken 432.20calFruit 37.00calSubtotal 893.10cal

SNACK ( TEA)Tea Tarik - 120gram 148.55calBiscuits – 28gram 311.30calSubtotal 459.85cal

DINNERNasi Putih (White Rice) - 1 plate 166.50calAyam Masak Merah – 110gram 181.60calWater (Air Kosong) - 8 oz 0.00 calVegetables, mixed - 1 plate 257.40calFruit – 242gram 120.00calSubtotal 625.50cal

LATE NIGHT SNACKWater (Air Kosong) - 8 oz 0.00 calJacobs Hi-Fibre – 28gram 111.30calBihun Soup – 325gram 356.20calSubtotal 467.50calTotal 3081.55cal

FRIDAY

BREAKFASTBihun Soup – 325gram 356.20calWater (Air Kosong) - 8 oz 0.00 calSubtotal 356.20cal

LUNCHWater (Air Kosong) - 8 oz 0.00 calNasi putih (White Rice) - 1 plate 166.50calChicken Curry – 200gram 402.20calEgg – 60gram 68.50calFruit 137.00calSubtotal 774.20cal

SNACK ( TEA)Tea O’ 0.00calCookies - 4pieces 384.40calSubtotal 384.40cal

DINNERNasi Putih (White Rice) - 1 plate 166.50calFried fish 381.00calWater (Air Kosong) - 8 oz 0.00 calSpinach – I cup 6.10calFruit – 242gram 120.00calSubtotal 673.60cal

LATE NIGHT SNACKMilk, Low Fat (Susu Lemak Rendah) - 240 gram 207.50 calNasi Goreng (fried rice) -330gram 637.90 calSubtotal 845.40calTotal 3033.80cal


SATURDAY

BREAKFASTRoti Canai – 95gram 301.50cal3 in 1 MILO packet 118.10calSubtotal 419.60cal

LUNCHWater (Air Kosong) - 8 oz 0.00 calNasi Ayam - 1 plate 277.20calVegetables - 1 plate 80.00calFruit 137.00calSubtotal 494.20cal


DINNERNasi Goreng (fried rice) -330gram 637.90 calEgg Sambal – 80gram 174.10calFried Checken 232.20calWater (Air Kosong) - 8 oz 0.00 calVegetables, mixed - 1 plate 157.40calSubtotal 1201.60cal

LATE NIGHT SNACKMilk, Low Fat (Susu Lemak Rendah) - 240 gram 207.50 calFast food (burger) – 100gram 558.80calSubtotal 766.30calTotal 3104.35cal

SUNDAY

BREAKFASTNasi Lemak – 230gram 389.50calNescafe, Mocha 92.50calSubtotal 482.00cal

LUNCHOrange Juice – 24gram 100.00 calChicken rice - 1 plate 555.60calVegetables - 1 plate 80.00calFruit 137.00calSubtotal 872.60cal

SNACK ( TEA)Water (Air Kosong) - 8 oz 0.00 calCookies - 4pieces 384.40calSubtotal 384.40cal

DINNERNasi Putih (White Rice) - 1 plate 166.50calCreamy Checken & Vegetables 437.00calWater (Air Kosong) - 8 oz 0.00 calVegetables, mixed - 1 plate 157.40calSubtotal 760.90cal

LATE NIGHT SNACKWhite Coffee 197.70calRoti Bakar –Wholemeal bread - 3 slices 352.20calSubtotal 550.20calTotal 3050.10cal


ONE-WEEK PERIOD CALORIES CONSUMPTION

Total of caloriesover a one-week period :

3004.70 + 2529.55 + 2815.65 + 2205.35 +2261.10 + 2532.95 + 2440.40

= 17 789.70kcal

Average Caloric Consumption:

Formula:

Average,mean = ∑ calories per day over a one-week period

N, Number of days over a one-week period

= 3004.70 + 2529.55 + 2815.65 + 2205.35 + 2261.10 + 2532.95 + 2440.40

7= 17 789.70

MONDAY

3004.70kcal

TUESDAY

3023.95kcal

WEDNESD

AY

2915.65kcal

THURSDAY

3081.55kcal

FRIDAY

3033.80kcal

SATURDAY

3104.35kcal

SUNDAY

3050.10kcal


7= 2541.40

Average caloric consumption in a day is : 2541.40kcal

Brief summary:

Based on the results of the number of calories that I have consumed over a one-week period (seven days) shown in the table, I have consumed about 2541.40kcal in a day. For Monday, the

total number of calories intake for a whole day are 3004.10kcal, followed by Tuesday-2529.55kcal, Wednesday-2815.65kcal, Thursday-2205.35kcal, Friday-2261.10kcal, Saturday-

2532.95kcal, and Sunday-2440.40kcal. On Monday, the total of calories intake is the highest one compared to the others. This is because of the energy needed for the day is very high with the

sports training activity besides the starter of school day after two days of weekend days, Saturday and Sunday.

BAR CHART

Bar chart above shows the number of calories intake per day over a one-week period

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

0 500 1000 1500 2000 2500 3000 3500

Number of Calories intake

Number of Calories intake


RECOMMENDED AVERAGE DAILY CALORIC INTAKE


Recommended average daily caloric intake amounts recommended by the Malaysian Government

&The comparison between the government average daily

caloric intake and my average daily calorific intake

The table showed the number of recommended average daily calorific intake amounts for all stages from many ages.

Recommended average daily calorific intake amounts recommended by the Malaysian government based on the summary table shown is:

For the age around 16-18years (adolescent-boys),

the recommended calorific intake amounts for a day is = 2840kcal

The Comparison calorific intake:

Recommended by the Malaysian Government : 2840kcalMy calorific intake in a day (based on the calculation) : 2541.4kcal

Difference between both calorific intake: = 2840cal – 2541.4kcal= 298.6kcal

Based on the calculation above, the differences between the recommended calorific intake amounts and my calorific intake amounts in a day is about 298.6cal. So, I need about 298.6cal

more to reach the best value of calorific intake amounts suggested by the government.


PART II

You can estimate the number of calories you burn during an activity by using this formula:

Your weight(kg) x calories per hour per kg x time(hour) = total caloriesOr use the calorie calculator from http://www.nutriweb.org.my/calorieburner.php

(a) Make a chart for the time you spend on your daily activities over the period of seven days and the calories that you burn during activities.

(b) Find out wether all the activities that you do are enough to help you keep your ideal weight. Give reasons and suggestions.

HOW MANY CALORIES DO YOU BURN EACH DAY?

Physical activities burn calories. But do you know how many calories you burn each day? This part of the project will help you find out. Besides keeping track of your daily caloric intake, you will also keep track of your daily activities for seven days. Based on the time you spend in each activity, you will calculate the total number of calories you need for the activity. You will then find the total number of calories you burn each day.

http://www.nutriweb.org.my/calorieburner.php


Total calories expenditure for a 24 hour period per day over a one-week period

MONDAYACTIVITY DURATION(min) CALORIES BURNT

Walking slowly (4km/h) 240 635.2Sleeping 420 453.6

Sitting Quietly 240 302.4Sitting (eating) 60 82.8Sitting (writing) 345 400.3

Ironing 10 19.8Sweeping floor 10 37.2

Badminton 75 436.5Solat (prayer) 40 80.0

Total Duration : 1440 Total Calories : 2367.8

TUESDAYACTIVITY DURATION(min) CALORIES BURNT



Ironing 10 19.8Walking briskly (6km/h) 40 177.6

Footbal 90 512.8Solat (prayer) 40 80.0



WEDNESDAYACTIVITY DURATION(min) CALORIES BURNT



Ironing 10 19.8Walking briskly (6km/h) 10 44.4



THURSDAYACTIVITY DURATION(min) CALORIES BURNT

Sleeping 450 486Sitting Quietly 240 302.4Sitting (eating) 60 82.8Sitting (writing) 330 374.2

Ironing 10 19.8Walking slowly (4km/h) 240 635.2Walking briskly (6km/h) 10 44.4

Tennis 50 327Jogging 10 67.2

Solat (prayer) 40 80.0Total Duration : 1440 Total Calories : 2419.0


FRIDAYACTIVITY DURATION(min) CALORIES BURNT

Sleeping 420 453.6Sitting Quietly 195 245.7Sitting (eating) 60 82.8Sitting (writing) 315 396.1

Ironing 10 19.8Walking slowly (4km/h) 300 744Walking briskly (6km/h) 50 222

Basketball 30 248.4Running (slow)(8km/h) 20 183.6


SATURDAYACTIVITY DURATION(min) CALORIES BURNT

Sleeping 420 453.6Sitting Quietly 195 245.7Sitting (eating) 60 82.8Sitting (writing) 320 400.1

Ironing 10 19.8Walking slowly (4km/h) 300 744Walking briskly (6km/h) 50 222

Basketball 30 248.4Running (slow)(8km/h) 20 183.6



SUNDAYACTIVITY DURATION(min) CALORIES BURNT

Walking slowly (4km/h) 190 441.2Sleeping 450 486


Ironing 20 39.6Sweeping floor 10 37.2



Chart the number of calories burnt against days

Monday

Tuesd

ay

Wed

nesday

Thursd

ayFri

day

Saturd

ay

Sunday

2000

2100

2200

2300

2400

2500

2600

2700

2800

2367.8

2678

2523.4

2419

2500 2504.1

2246

The calories burnt during activities per day

The calories burnt during activi-ties per day

Days

Num

ber o

f cal

orie

s bur

nt

The chart above showed the number of calories burnt in a day through the time I spend on my daily physical activities over the period of seven days.

Brief explanation:


Do all the activities that I have done are enough to help I keep my ideal weight?

The answer:

Based on all the activities that I have done throughout my daily life, I found that there is not good enough and need to improve of my daily activities to increase the total number of calories burnt. But, this matter is not too serius and still around the normal level in keeping my ideal weight.

Reasons and Suggestions:

My average daily caloric intake amounts = 2542.4cal

My average daily caloric burnt throughout physical activities in a day :

Average Caloric Burnt in a day:

Formula:

Average,mean = ∑ calories burnt per day over a one-week period through daily activities


= 2367.8 + 2678.0 + 2523.4 + 2419.0 + 2500.0 + 2504.1 + 2246.0

7= 17 238.3

7= 2462.6kcal

Average caloric burnt in a day is : 2462.6kcal

Reasons and Suggestions:


The reason why my daily activities are not perfect enough to keep my ideal weight is as we know, to maintain our ideal weight, the calories intake amounts from foods in a day should be stabilised by the amount of calories burnt throughout our daily activities, where both must have similar input and output. In my case, the suggestion is I need to increase my total number of calories burnt to reach the same value as calories intake amounts by improving my basic level of daily activities. For additional informations, in order to lose my weight, I need to eat less calories per day than my body needs. To lose 1lb, equal to 1kg a week I need a negative calorie balance of 500 calories per day. To lose weight at 2lb, equal to 2kg a week I need to reduce my calorie intake by 1000 calories a day.

There are included some suggestions on how to speed up my rate of burning calories

Build Muscle

Increase the amount of muscle in your body. For every extra pound of muscle you put on, your body uses around 50 extra calories a day. In a recent study, researchers found that regular weight

training boosts basal metabolic rate by about 15%. This is because muscle is ‘metabolically active’ and burns more calories than other body tissue even when you’re not moving.

Training with weights just 3 times a week for around 20 minutes is enough to build muscle. Not only will you be burning more calories, you’ll look better – whatever your weight.

Move More

INFORMATION FROM WEIGHT LOSS RESOURCES AGENCY

A body that consumes 2500 calories a day, and burns 2500 calories a day will stay at the same weight. A body

consuming 2500 calories daily but burning only 2000 will gain weight at the rate of about 1lb a week.


Although the average person burns around 30% of calories through daily activity, many sedentary people only use around 15%. Simply being aware of this fact – and taking every

opportunity to move can make quite a dramatic difference to the amount of calories you burn.

The trick is to keep the ‘keep moving’ message in mind. Write the word ‘move’ on post-it notes and put them in places you’ll notice them when you’re sitting still. Then, take every opportunity

to move – here’s some ideas for burning calories:

Tap your feetSwing your legs

Drum your fingersStand up and stretch

Move your head from side to sideChange position

Wriggle and fidgetPace up and down

Don’t use the internal phone – go in personUse the upstairs loo

Park in the furthest corner of the car parkStand up when you’re on the phone

Clench and release your musclesYou’ll find lots of opportunities for burning more calories if you remember that you’re looking

for them! Keep thinking ‘keep moving’.

Eat Spicy Food

There is evidence to show that spices, especially chilli, can raise the metabolic rate by up to 50% for up to 3 hours after you’ve eaten a spicy meal.

Drinks containing caffeine also stimulate the metabolism, as does green tea.

Aerobic Exercise

As well as the actual amount of calories burned during exercise – studies have shown that sustained, high-intensity exercise makes you burn more calories for several hours afterwards.


Try 30 minute sessions of heart rate raising exercise, such as vigorous walking, step aerobics, jogging, cycling or swimming, 3-4 times a week.

Eat Little and Often

There is some evidence to suggest that eating small, regular meals will keep your metabolism going faster than larger, less frequent meals. There are two reasons why meal frequency may

affect your metabolism. Firstly, levels of thyroid hormones begin to drop within hours of eating a meal, and metabolism slows. Secondly, it may be that the thermogenic effect of eating several

small meals is slightly higher than eating the same amount of calories all at once.

Provided your small meals don’t degenerate into quick-fix, high fat, high sugar snacks, eating little and often can also help to control hunger and make you less likely binge.


PART III

Work in a group of 5 individuals.

(a) Make a frequency table with a suitable class interval for the daily calorie burn for a one-week period. (From data in Part II)

(b) Draw a histogram and find the mode of the average calorie burn for your group.

Calorie Burnt(kcal)

Midpoint Frequency

2201-2300 2250.5 1

2301-2400 2350.5 1

2401-2500 2450.5 1

2501-2600 2550.5 3

2601-2700 2650.5 1

Frequency table for daily caloric burnt for a one-week period


Calorie Burnt(kcal)

Midpoint Upper Boundary

LowerBoundary

Frequency

2201-2300 2250.5 2300.5 2200.5 12301-2400 2350.5 2400.5 2300.5 12401-2500 2450.5 2500.5 2400.5 12501-2600 2550.5 2600.5 2500.5 32601-2700 2650.5 2700.5 2600.5 1

Grouped data of caloric burnt over a one-week period

0

0.5

1

1.5

2

2.5

3

3.5

Histogram of caloric burnt over a one-week period

caloric burnt (kcal)

Frequency

2200.5 2300.5 2400.5 2500.5 2600.5 2700.52550.5


Histogram of caloric burnt over a one-week period

Modal class = 2501-2600kcal

Mode (from the histogram above) = 2550.5kcal

FURTHER EXPLORATION

Calculate the variance and standard deviation from your data above.

*The calculation is based on the caloric burnt data over a one-week period.

Mean, = ∑ calories burnt per day over a one-week period through daily activities


= 2367.8 + 2678.0 + 2523.4 + 2419.0 + 2500.0 + 2504.1 + 2246.0

7= 17 238.3

7= 2462.6

Variance, σ2 = ∑x2

N = 2367.82 + 2678.02 + 2523.42 + 2419.02 + 2500.02 + 2504.12 + 2246.02 2462.62

7 = 42 562 302.2 _ 2462.62

7 = 15 930.127

Standard deviation, σ = √15 930.127

= 126.215

x̅G2

x̅G


CONCLUSION

After I accomplished this project, I have found that the mathematics is fun and very

useful in daily life. I have learnt the important of perseverance as time will be inverted to ensure

the completion and excellence of this project.

On the other hands , I have learnt the virtue to making together as I have helped and received

help from my fellow peers in the production of this project. I realised the important to be

thankful and appreciative during completing this task. This is because I able to apply my

mathematical knowledge in daily life and appreciate the beauty of mathematic.

This project is a several training stage for me to prepare myself for the demands of my future

undertaking in the university and work life.


REFLECTION

While I conducting this project, there is a lot of information that I have found. I have learnt how

loan is calculated. Apart from that, this project encourages the student to work together and share

their knowledge. It is also encourages 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 can 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 only 3 weeks to complete this project and pass

up to my teacher just in time. I also enjoy doing this project as I need to spend my time with

friends to complete this project and it had tightens our friendship.

Documents

96395060 Melaka Add Math Project Work 2 2012