MG14 Directions, turns and degrees

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MG14 Directions, turns and degrees
Let’s find out about directions
directions, turns
and degrees
degrees. A circle can be divided into
360 parts called degrees (360°).
1
1
Every 4 turn is 90°, so a 2 turn is 180°,
a 34 turn is 270° and a full turn is 360°.
The four compass points – north, south,
east and west – are related to the
amount of turn in degrees. Turns may be
clockwise or anticlockwise
anticlockwise.
N
N
E W
E W
W
N
N
E W
E
S
S
S
S
90° turn
(anticlockwise)
180° turn
(clockwise)
270° turn
(anticlockwise)
360° turn
(clockwise)
Language reminder
A clockwise turn is in the same direction as the hands of a clock.
An anticlockwise turn is in the opposite direction to the hands of a clock.
Try this
1 Which direction do you face after each of these turns – north, south, east or west?
a Face north, turn 90° clockwise.
b Face north, turn 270° anticlockwise.
c Face east, turn 180° clockwise.
d Face west, turn 90° clockwise.
e Face south, turn 360° anticlockwise.
f Face west, turn 180° clockwise.
g Face north, turn 90° anticlockwise.
h Face east, turn 270° clockwise.
110 iMaths 5 Student Book
ISBN 978 1 74135 180 4
My best friend is hiding and has left
this map and clues. To find out who
my friend is and where he is hiding,
you need to follow the clues on the
map. Mark your travels on the map by
shading each square as you travel
through it. Give the map reference for
my friend’s location.
Topic MG14
Clues
1 Start at B7 by shading the square with a
dark colour or highlighter.
2 Journey west 1 square and turn
90° clockwise.
3 Go north 3 squares, turn 90° clockwise.
4 Go east 5 squares and climb aboard.
5 Paddle east 2 more squares, turn 90°
clockwise, forward 2 squares. Look
under a coconut for more clues.
6 Turn 180° and go forward 5 squares.
7 Turn 90° anticlockwise, forward
4 squares, turn 90° anticlockwise.
8 Go south 1 square, turn clockwise,
3 squares west.
9 Turn anticlockwise 90°, 1 square south,
turn anticlockwise.
10 Forward 2 squares and meet my friend
with a smile!
Map reference:
1
2
3
4
5
6
7
8
A B C D E F G H
Scale:
10 m
Problem solving task
The journey home: Write instructions for the journey home. Retrace the path you took all the way back to B7.
Use the space provided in iMaths 5 Tracker Book to work out your answer.
Challenge
Map and scale: Use the map and the scale 1 cm = 10 m to answer these questions. Round to the nearest 10 m.
1 What will you find 20 m east of the lighthouse?
2 How far from the canoe directly to the island at H6?
3 What will you find 30 m west of the canoe?
4 How far apart are the two huts?
5 What is 20 m south of North Bridge?
ISBN 978 1 74135 180 4
iMaths 5 Student Book
111
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