year 8: bearings dr j frost last modified: 8 th october 2015

8
Year 8: Bearings Dr J Frost ([email protected]) www.drfrostmaths.com Last modified: 8 th October 2015

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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. ?     A B C D E B from A000 A from B180 C from A090 D from A225 A from D045 A from E135 E from A315 The bearing of: ? ? ? ? ? ? ?

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Page 1: Year 8: Bearings Dr J Frost  Last modified: 8 th October 2015

Year 8: Bearings

Dr J Frost ([email protected])www.drfrostmaths.com

Last modified: 8th October 2015

Page 2: Year 8: Bearings Dr J Frost  Last modified: 8 th 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!

Page 3: Year 8: Bearings Dr J Frost  Last modified: 8 th October 2015

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:

???????

Page 4: Year 8: Bearings Dr J Frost  Last modified: 8 th October 2015

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 >

?

Page 5: Year 8: Bearings Dr J Frost  Last modified: 8 th October 2015

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

Page 6: Year 8: Bearings Dr J Frost  Last modified: 8 th October 2015

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?

Page 7: Year 8: Bearings Dr J Frost  Last modified: 8 th October 2015

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

?

?

?

Page 8: Year 8: Bearings Dr J Frost  Last modified: 8 th October 2015

Worksheet

Have go at the provided printouts.