Maths and Science Trail 2012

GR E

OL HO

W SECONDARY S E I V C EN

Secondary 1

MATHEMATICS AND SCIENCE TRAIL 2012 Changi Airport Terminal 3

Name:

Class:

Group:

Score:

Trail Objectives 1.

To offer 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.

Contents 1

Wonders of the Clinometer 4 2

Going for a Holiday!

6 3

Powerful Screens 8 4

Heal the World, Make It a Better Place 10 5

Know Your Plants 12

Calculations & Reflections 14

Map of Changi Airport T3 16

Contents 1

Wonders of the Clinometer 4 2

Going for a Holiday!

6 3

Powerful Screens 8 4

Heal the World, Make It a Better Place 10 5

Kinetic Sculpture 12

Calculations & Reflections 14

Map of Changi Airport T3 16

1

Wonders of the Clinometer

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 Coffee Club Café.

TASK 1

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, find the distance x from the sign post and your height, h in centimetres.

A

B

45º

x=

cm

h=

cm

E x=

cm

C

D

4

1

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.

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.

Width = Length =

TASK 2

cm

cm

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?

5

TASK 3

2

Going for a Holiday!

TASK 1

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 flight.

TASK 2

Three sisters, Mary, Jane and Lily decided to go for a holiday. They are taking the economy class flight. 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

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

TASK 3

You are assigned Row Types of passengers

Number of passengers

Tally

Male Adults Female Adults Children (aged 12 and below)

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

Number of Passengers

Types of Passengers

0

7

3

Powerful Screens TASK 1

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?

screens high ×

screens wide =

screens

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

m

Area =

m²

m

TASK 2

In operation, each LED TV consumes about 323 W/m² (Watts/ m²) of power.

Calculate the amount of power consumed by each screen.

Calculate the amount of power consumed by the entire display.

8

3

In 1 hour of operation, a TV of area 1 m2 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.

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 π = 3.142 .

The power consumption of such a screen is 500 W/m². Find the amount of power consumed (in kW).

9

4

Heal the World, Make It a Better Place 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”?

TASK 1

Rubbish is serious business especially in land-scarce Singapore. Our only landfill site is found on the offshore island of Pulau Semakau. This landfill 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 filled by this year. Calculate the rate of filling based on the above data.

(Note: “ha” means “hectare”. 1 ha is about the area of 1 football field)

Number of years =

Rate of filling =

=

—

Area filled = Number of years

10

=

ha / year

4

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

Number of years =

Area to be filled Rate of filing

=

=

TASK 2

years

=

Final year of use for landfill = 1999 +

Your answer in Task 2 should tell you that the landfill cannot last us till the year 2045. Therefore, we must reduce, reuse, and recycle.

In this table, which items can be recycled economically?

Item

Can it be recycled economically?

Cardboard toilet rolls

Yes / No

Styrofoam cup

Yes / No

Plastic drink bottle

Yes / No

Soft drink can

Yes / No

Tissue paper

Yes / No

Type of material it is recycled as

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�!

11

TASK 3

5

Know Your Plants 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 find out!

TASK 1

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?

Original Colour

Final Colour

Blue litmus paper

Blue

Blue / Red

Red litmus paper

Red

Blue / Red

Observation for ...

TASK 2

Conclusion The soil is acidic/ alkaline

Your classmate comes to you and asks, “I want to plant some flowers 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 flowers is most suitable for this type of soil?

Plant

Optimum pH range

Is it suitable for this soil?

Carnation

6.0 - 7.5

Yes / No

Chrysanthemum

6.0 - 7.0

Yes / No

Hibiscus

7.0 - 8.0

Yes / No

Magnolia

4.5 - 6.0

Yes / No

12

5

Your classmate comes to you again. This time, he asks, “I would like to plant some greens and flowers 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?

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

13

TASK 3

5

Kinetic Sculpture 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 find out!

TASK 1A

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, fill in the different stages of energy conversion for the sculpture.

energy

TASK 1B

energy

energy

The petals of the flower rotate about its centre. You are to measure the time taken for one revolution. Record 3 timings and find the average using the formula given. Round off all your answers to the nearest second.

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 +

12

seconds ) ÷ 3

5

The blades of the sculpture are made of a material known as fibreglass. This man-made material is very light, yet it is also very strong.

The density of fibreglass is 1400 kg/m3. Each blade has a volume of 0.04 m3.

What is the mass of each fibreglass blade?

Mass = Density × Volume = =

kg / m3 ×

m3

kg

Another artist wants to make the same sculpture. However, he only has aluminium metal. Aluminium metal has a density of 2700 kg/m3. The volume of the blade is still 0.04 m3. What is the mass of each aluminium blade?

Mass = Density × Volume = =

TASK 2

kg / m3 × kg

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

13

m3

TASK 3

Calculations and Reflections

14

15

5a

1

2

Lift to Assembly Area (L1)

Map of Changi Airport T3 L2

3

5b

16

4

MRT

Skytrain

Acknowledgements 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.

Š 2012 Greenview Secondary School

0

1

2

3

4

5

6

7

8

9

10 11 12 13 14 15 16 17 18 19 20