Changi Airport Terminal 3

2012

Secondary 1

MATHEMATICSAND

SCIENCETRAIL

GREE

NVIEW SECONDARY SCHOOL

Name:

Group:

Class:

Score:

1. To o!er an opportunity to help students see the relevance of Mathematics and Science outside their classroom.

2. To encourage students to see how Mathematics and Science are used to interpret the world we live in.

3. To emphasize the practical applications in Mathematics and Science.

4. To complement the content of Mathematics and Science taught in the classroom by infusing National Education objectives.

5. To allow students to practise their SEL skills in a group/team setting.

Trail Objectives

Contents

Wonders of the Clinometer4

1

Going for a Holiday!6

2

Powerful Screens8

10

3

Heal the World, Make It a Better Place4

Know Your Plants12

5

Calculations & Reflections14

Map of Changi Airport T316

Wonders of the Clinometer4

1

Going for a Holiday!6

2

Powerful Screens8

10

3

Heal the World, Make It a Better Place4

Kinetic Sculpture12

5

Calculations & Reflections14

Map of Changi Airport T316

Contents

Wonders of the Clinometer

TASK 1

At Terminal 3, there are many sign posts that provide directions for people.

Look for the sign post shown in the picture on the right. This is located opposite the Co!ee Club Café.

You are to estimate the height of this sign post.

Using a clinometer, start from the base of the sign post and walk away from it until the angle of your clinometer reads 45°. Your group mate will be required to help read the angle on your clinometer. Using the 20-cm scale printed at the back of the booklet, "nd the distance x from the sign post and your height, h in centimetres.

45º

x = cm

A

B

C D

E

x = cm

h = cm

4

1

TASK 2

TASK 3

The sign post is in the shape of a cuboid. Using the 20-cm scale printed at the back of the booklet, complete the diagram on the left.

The height of the sign post can be estimated by adding the two answers found in Task 1. Find an estimate of the height of the sign post, leaving your answer in metres.

Find the volume of the the sign post, giving your answer in cubic metres.

The sign post is made from steel, which cost about $25 per cubic metre. How much does it cost to manufacture 10 such sign posts?

Width = cm

Length = cm

5

1

Going for a Holiday!

TASK 1

TASK 2

Locate the sign board below. This is between Rows 3 and 4. Write down the maximum mass, x kg, of luggage that is allowed to be hand-carried by each passenger for the economy class #ight.

Three sisters, Mary, Jane and Lily decided to go for a holiday. They are taking the economy class #ight. They packed their belongings into one hand-carry luggage. Mary’s belongings are 2550 g, Jane’s belongings are 4.75 kg and Lily’s belongings are 750 g. Express the mass of their belongings as a ratio of Mary : Jane : Lily.

Explain whether they are able to hand-carry this luggage on board the plane. Show your workings clearly.

6

2

TASK 3Let’s "nd out how many people are travelling overseas today! Your task is to count the number of di!erent types of passengers who are queuing up at the check- in counter within 30 seconds.

You are assigned Row

Types of passengers Tally Number of passengers

0

Male Adults

Number of Passengers

Types of Passengers

Female Adults

Children(aged 12 and below)

7

2

Draw a bar graph for the data that you have collected. Show your working clearly.

Powerful Screens

TASK 1

TASK 2

Take a look at the advertisement display station situated on the left and right of the entrance to the transit area of Terminal 3. Do you see a multiple screen feature?

How many screens are there altogether?

In operation, each LED TV consumes about 323 W/m$ (Watts/ m$) of power. Calculate the amount of power consumed by each screen.

Calculate the amount of power consumed by the entire display.

Measure the length and breadth of each LCD screen, giving your answers to 2 decimal places. Hence, "nd the area of each screen.

screens high % screens wide = screens

m

Area = m$ m

8

3

TASK 3

The screen can be considered to be half the surface area of a cylinder.Find the area that the LED screen occupies. Take & = 3.142 .

The power consumption of such a screen is 500 W/m$. Find the amount of power consumed (in kW).

In 1 hour of operation, a TV of area 1 m' will consume 323.35 W x 1h = 323 Wh (Watt-hour) of power. Electricity in Singapore today is charged at 28.08 cents per kWh (kiloWatt-hour). Calculate the cost of electricity for the advertisement display station for a 24-hour period.

9

3

Heal the World, Make It a Better Place

TASK 1

Every day, we use and throw away so many things. One day, we will run out of resources and space to throw them away. Pollution may become worse as well. How can we “heal the world and make it a better place”?

Rubbish is serious business especially in land-scarce Singapore. Our only land!ll site is found on the o"shore island of Pulau Semakau. This land!ll has an area of 350 ha. It is split into two phases, and should last till the year 2045 and beyond.

Phase 1 (Cells 1 – 11) has been in use since 1999. 154.38 ha will be !lled by this year. Calculate the rate of !lling based on the above data. (Note: “ha” means “hectare”. 1 ha is about the area of 1 football !eld)

Number of years = — =

Rate of !lling = ha / yearArea !lledNumber of years

= =

10

4

TASK 3

TASK 2

Your answer in Task 2 should tell you that the land"ll cannot last us till the year 2045. Therefore, we must reduce, reuse, and recycle.In this table, which items can be recycled economically?

You have now learnt the importance of doing your part to save the world.In the space given, design a recycling bin to help our school “heal the world”!

Using the rate calculated in Task 1 and starting from the year 1999, how many years can the land"ll actually last?

Number of years = =

Final year of use for land"ll

yearsArea to be "lled

Rate of "ling

= 1999 + =

=

Item

Cardboard toilet rolls Yes / No

Yes / No

Yes / No

Yes / No

Yes / No

Styrofoam cup

Plastic drink bottle

Soft drink can

Tissue paper

Can it be recycled economically?

Type of material it is recycled as

11

4

Know Your Plants

TASK 1

TASK 2

Plants! Plants are everywhere around us. It is no wonder that we live in a Garden City. But are all plants the same? Can all plants grow in the same type of conditions? Or are there some picky plants? Let’s "nd out!

Your teacher will give you a soil sample, and blue and red litmus paper. Dip one blue and one red litmus paper into the soil, and test its acidity. What do you observe?

Your classmate comes to you and asks, “I want to plant some #owers in the school garden! But I’m not sure what I should plant in this type of soil. Could you help me?”Which of the following types of #owers is most suitable for this type of soil?

Red litmus paper

Blue litmus paper

Observation for ...

The soil is acidic/ alkaline

Blue

OriginalColour

Final Colour Conclusion

Blue / Red

Blue / RedRed

Chrysanthemum

Carnation Yes / No

Yes / No

Yes / No

Yes / No

Plant

6.0 - 7.5

Optimum pH range Is it suitable for this soil?

6.0 - 7.0

Magnolia

Hibiscus 7.0 - 8.0

4.5 - 6.0

12

5

TASK 3In the space given, sketch a leaf of the low-lying plant. Make sure that your drawing shows the correct shape and proportion!

Your classmate comes to you again. This time, he asks, “I would like to plant some greens and #owers in my home. It’s getting a bit boring! Could you suggest some plants that might be suitable?”Look at the low-lying plants in front of you. Why might they be suitable as indoor plants?

13

5

Kinetic Sculpture

TASK 1A

TASK 1B

Sculptures come in all shapes and sizes! Have you ever seen a sculpture that follows your movements? How fast does this sculpture move? Let’s "nd out!

In front of you is the kinetic sculpture titled “Daisy” by Christian Moeller. Moeller uses the principle of energy conversion in designing the sculpture so that it will “sense” the movement of passers-by and “follow” their movement.In the spaces given, "ll in the di!erent stages of energy conversion for the sculpture.

The petals of the #ower rotate about its centre. You are to measure the time taken for one revolution. Record 3 timings and "nd the average using the formula given. Round o! all your answers to the nearest second.

energy energy energy

1st reading: minutes seconds = seconds

2nd reading: minutes seconds = seconds

3rd reading: minutes seconds = seconds

Average = (1st reading + 2nd reading + 3rd reading) ÷ 3 = ( seconds + seconds + seconds ) ÷ 3

= seconds

12

5

TASK 3

TASK 2

Another artist wants to make the same sculpture. However, he only has aluminium metal. Aluminium metal has a density of 2700 kg/m(. The volume of the blade is still 0.04 m(. What is the mass of each aluminium blade?

Is "breglass or aluminium more suitable? Why? Use your answers from Task 2 and Task 3 to help you.

The blades of the sculpture are made of a material known as "breglass. This man-made material is very light, yet it is also very strong.The density of "breglass is 1400 kg/m(. Each blade has a volume of 0.04 m(. What is the mass of each "breglass blade?

13

5

Mass = Density % Volume = kg / m( %

kg=

m(

Mass = Density % Volume = kg / m( %

kg=

m(

Calculations and Reflections

14

15

Map of C

hangi Airport T3 L2

1

3

42

5a5b

MR

T

Lift to A

ssembly

Area (L1)

Skytrain

16

Greenview Secondary School

Mathematics and Science Departments

would like to thank:

Our Principal and Vice-Principals

for their support of the event,

All Teachers, student helpers, participants and

those who have contributed in one way or another

towards the success of our Mathematics and Science Trail.

Acknowledgements

© 2012Greenview Secondary School

01

23

45

67

89

10

11

12

13

14

15

16

17

18

19

20