Kpmt 2014 Bi Soalan 1

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Additional mathematics Project Work 1 2014

JABATAN PELAJARAN PULAU PINANG Page2

Aim

The aim of this project is to survey the suitable perimeter for track and field event tournament.

Project Work ObjectivesAt the end of this project, you will be able to

1. Collect data of the circumference and radius of semicircle.2. Calculate the distance of each lane.3. Solve problems by using various strategies.4. Relate students knowledge with data obtained.5. State the cause of injury during the running and ways to avoid accidents.

Implementation of Project Work

Activity 1: Collecting information

You and your friends are asked to help your sports teacher to make the lanes for track and field event

as illustrated in Diagram 1 below.

Diagram 1

100 m

100 mPadang

1.2 m

Field

Lane1Lane2

Lane3

Lane4Lane5Lane6Lane7Lane 8

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Given that the smallest circumference of semicircle is 100 meter. The length of straight lane of the

field track is also 100 meter. The width of each lane is 1.2 meter.

Show your working to determine the distance of each lane and complete Table 1.

(Use =3.142)

LaneCircumference of

Semicircle(3 decimal places)

Radius(3 decimal places)

Distance of Each Lane(3 decimal places)

1 100.000

2

.

.

.

.

8

Table 1

Activity 2 : Data Analysis

Diagram 2 shows the starting line of Lane 1 and finishing line of all lanes.

Diagram 2

Padang

100 m

100 m

Starting line of

Lane 1

Finishing line

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(a) Based on Diagram 2, the starting line of Lane 1 has been given. You are asked to determinethe distance of starting line of Lane 2, Lane 3, Lane 4, Lane 5, Lane 6, Lane 7 and Lane 8

from the finishing line for a 400 meter event. Hence, complete Table 2.Use at least two

suitable problem solving strategies.

Table 2

(b)Make a conclusion from the data obtained in Table 2.

Activity 3 : Data Interpretation

Oil paint is to be used to draw all the track. The price of a tin of 5 liter oil paint is RM10. Given that

2 liter of oil paint is needed to draw a 100 meter track. Calculate the number of tin of oil paint

needed and the cost (in RM) to draw all the eight tracks.

Activity 4 : Further Exploration

The design of tracks shown in Diagram 1 is the track that is usually used in the tracks tournament.

(a) Using your own creativity, create twodesigns of tracks which has a measurement of 400 m inLane 1 and width of each lane is the same.

(b) Based on your track designed in question (a) and Diagram 1, which design would you choosefor your school tournament?

State your justification.

nth lane

Shortest Distance between starting

line and finishing line

( 2 decimal places)

Ln- Ln-1

1 0.00

2

3

45

6

7

8

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Activity 5: Conclusions

Based on a study by American Academy of Physical Medicine and Rehabilitation, 70% of athletes

were injured during the track events. According to runnersworld.com, about 40% of athletes wereknee injuries. For women, backbone and ankle injuries always happened while running. Headache

can also be occurred especially during hot weather.

(a) What are the causes of track and field injuries?(b) What are the ways to avoid track and field injuries?

Reflection.

1. What have you learned during the implementation of this project work?2. List the good values that you have practiced during this project.

END OF QUESTION PAPER

Kpmt 2014 Bi Soalan 1

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