B - plannerLIVE!

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Transcript B - plannerLIVE!

GCSE
Mathematics
Targeting Grade C
Shape and Space
Unit 5 Bearings
Can you…
If not you need
•Name the bearing of X from Y
TOP
•Work out simple bearings
Practice 1: Simple Bearings
•Use bearings to locate a position
Practice 2: Locating a point
Try a test
TAIL
X from Y, Y from X
TOP
Remember
Bearings are always
measured from the
North line
They are always
measured in a clockwise
direction
What is the bearing of Y from X?
What is the bearing of X from Y?
Lesson
They must have 3 digits
Practice 1: Simple Bearings
1.
N
Diagram NOT
accurately drawn
A
63°
138°
P
B
Work out the bearing of
(i) B from P,
(i) P from A,
Next
2.
North
B
Measure and write down the bearing of B from A.
On the diagram, draw a line on a bearing of 107°
from A.
A
Lesson
Practice 2:
1.
The diagram shows the position of Colwyn Bay and the position of Blackpool.
N
N
Blackpool
Colwyn Bay
The bearing of a ship from Colwyn Bay is 032°.
The bearing of the ship from Blackpool is 290°.
Draw an accurate diagram to show the position
of the ship.
Mark this position with a cross Label is S.
Next
2.
A map is drawn to a scale of 1:25 000
Two schools A and B are 12 centimetres apart on the map.
(a)
Work out the actual distance from A to B.
Give your answer in kilometres.
N
B
A
B is due East of A.
C is another school.
The bearing of C from A is 064°.
The bearing of C from B is 312°.
(b)Complete the scale drawing
Mark, with a cross (´), the position of the school C.
Lesson
Measure and write down the bearing of B from A.
On the diagram, draw a line on a bearing of 107°
from A.
Are you ready for
the answers ?
TAIL
1.
This is a map of part of Northern England.
Blackpool X
A plane flies in a straight line from
Preston to Stoke-on-Trent.
X Preston
X Halifax
N
(a)
Wigan
X
How far does it fly?
Give your answer in
kilometres.
X Manchester
Liverpool
X
(a) 90 km
Chester X
(b) Measure and write down the
bearing of Preston from Manchester
X Stoke-on-Trent
b) 317
Scale: 1 cm represents 10 km
Next
.
Are you ready for
the answers ?
TAIL
2.
N
Diagram NOT
accurately drawn
H
C
N
Hospital
y
Cinema
A
72°
Art
gallery
360 – 90 – 108 = 162
y
180  162
 9
2
The diagram shows the position of each of three buildings in a town.
72° + 9° = 81°
The bearing of the Hospital from the Art gallery is 072°.
So the bearing is 081
The Cinema is due East of the Hospital.
The distance from the Hospital to the Art gallery is equal to the distance from the Hospital to the Cinema.
Work out the bearing of the Cinema from the Art gallery.
Lesson