year 8: bearings dr j frost last modified: 8 th october 2015
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Year 8: Bearings
Dr J Frost (jfrost@tiffin.kingston.sch.uk)www.drfrostmaths.com
Last modified: 8th October 2015
Starter Puzzle
Here some aerial pictures of various airport runways Dr Frost has been on. Can you work out what the numbers mean? Q
Heathrow - London JFK – New York
Hilo Airport - Hawaii EuroAirport – Basel-Mulhouse-Freiberg
Portland International Airport - Oregon
Beijing Capital International Airport
Rhodes Airport - Greece
If we add a 0 on the end, we get the angle clockwise from North the runway faces!
Bearings
! A bearing is an angle measure clockwise from North. We use 3 digits.
Historical reason for 3 digits?Bearings used to be transmitted digit by digit from ship to ship. Were some bearings two digits, it would be ambiguous whether two digits was intended or a digit was lost in transmission.
?
QQ Q
Q
Q
A
B
C
D
E
B from A 000
A from B 180
C from A 090
D from A 225
A from D 045
A from E 135
E from A 315
The bearing of:
???????
Measuring Bearings
N
𝐴
𝐵
N
Measure the bearing of from .
Click to Bromeasure >
056Measure the bearing of from .
What do you notice about the two bearings?
! If we measure the bearing from the other object, we add or subtract .
Our protractor only goes up to so start measuring from South.
180 + 56 = 236Click to Bromeasure >
?
Test Your Understanding
𝐴
𝐵𝐶
𝐷
B from A 116
A from B 296
C from B 073
D from C 228
A from D 334
D from A 154
Question on provided sheet.
??????
𝑁
𝑁
𝑁
𝑁
TiffinJohn Lewis
Scale 1:300It means that 1cm on the map represents 300cm in real life.
75cm
What does this scale mean?
You have a map of Kingston-upon-Thames…
?
What distance is this in real life?
75×300=22500 𝑐𝑚?
Test Your Understanding
If a map scale is 1:100 000, and two locations are 6.2 cm apart on the map, what distance in km does this represent?
If a map scale is 1: 5000, and two locations are 3.2km apart, how far are they away on the map in cm?
Bobville and Daveton are 4cm apart on a map, but 1km apart in real life. Determine the scale of the map.
1
2
3
?
?
?
Worksheet
Have go at the provided printouts.
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