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11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Bearings
Working with Scales
Scaled DrawingsScaled Drawingsw
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Making Simple Scale Drawings
Harder Scale Drawings
Compass Points
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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2. Calculate 70% of 84
(a) 2.67 (b) 3.23 (c) 2.99
1. 99.6 + 7.27
3. 25% of 160p
4. Round to 1 decimal place
5. Find the value of x 4x +25 = 69
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand the term Understand the term scale drawings.scale drawings.
1. We are learning the term scale drawing.
2. Interpret scale drawing into real-life measurements.
Scale Drawings & Scale Drawings & BearingsBearings
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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A scale of A scale of
1 cm = 2m1 cm = 2m
This simply means for every 1cm measured on adrawing this represents 2m in real-life.
Definition
S1 Level E
ScalesScalesMTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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.com In order to make sense of a map or scale diagram
the scale must be known.
ScalesScales
4 cm
For this scale model1 cm represents 1m
This means for every 1 metre of the actual car, 1cm is drawn on the map.
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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6cm
The scale of this drawing is 1cm = 5m
What is the actual length of the tree ?
ScalesScales
6 x 5 =30m
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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5cm
The scale of this drawing is 1cm = 90cm
What is the actual length of the bus in metres ?
ScalesScales
5 x 90 = 450cm
4.5m
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 1Ch17 (page 194)
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ScalesScalesMTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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2. Calculate 75% of 240
(a) 100ml (b) 500ml (c) 2500ml
1. Write in litres
3. I f the area and perimeter of the shape.
4. Find the mean of 6, 9, 15, 10, 5
10cm
14cm7cm
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1 We are learning to draw a scale drawing given suitable information.
1. Interpret information in a problem and create a suitable scale drawing.
Scale Drawings & Scale Drawings & BearingsBearings
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Problem
A garden is rectangular in shape and has length 12m and breadth 8m. Make rough sketch of the garden.
12m
8m
Scaled DrawingsScaled Drawings
Draw an accurate scaled drawing of the garden
Use a scale of 1cm represents 2m
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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12m
8m
Scaled DrawingsScaled Drawings
Use a scale of 1cm represents 2m
12m
8m
1cm represents 2m
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Problem
A road junction is triangular in shape. A rough sketch is given below.
20m
Scaled DrawingsScaled Drawings
Draw an accurate scaled drawing of the garden
Use a scale of 1cm represents 2m
12m
MTH 2-17c MTH 2-17dMTH 3-17b
Scaled DrawingsScaled Drawings
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Use a scale of 1cm represents 2m
20m
12m
1cm represents 2m
20m12m
Find the real life length of the 3rd side
2 x 11.6 = 23.2m
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Exercise 2Ch17 (page 197)
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Scale Drawings & Scale Drawings & BearingsBearings
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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2.
(a) 15.673 (b) 13.55 (c) 23.49
1. 85.7 - 7.8
Calculate 60
3. 75% of 360p
4. Round to 1 decimal place
5. Find the value of x 5x +35 = 90
% of 120
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. We are learning to solve real-life problems using scale drawings.
1. Interpret information in a problem to create a suitable scale drawing.
2. Apply a scale drawing methods to solve a given problem.
Scale Drawings & Scale Drawings & BearingsBearings
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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The sketch shows a flag-pole YT supported by a wire. The distance from X to Y is 6m and angle TXY = 55
o.
55oX
T
Y
6m
Make a scale drawing and workOut the real height of the pole.
Use a scale of 1cm = 2m
Scale Drawings & Scale Drawings & BearingsBearings
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 2023 Created by Mr. Lafferty Maths Dept.ww
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Scale Drawings & Bearings55
oX
T
Y
6m
SolutionStep 1: Draw line XY=3cm
X Y
Using a scale of 1cm = 2mUsing a scale of 1cm = 2m
Step 2: Draw a line straight up from Y.Step 3: Measure angle 55
o
from X.Step 4: Draw line from X to vertical line and mark T at crossover point.
T
Step 5: Measure length YT.Step 6: Multiply length YT. by scale factor.
4.3cm
4.3 x 2 = 8.6mFlag pole is 8.6m high
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Exercise 3Ch17 (page 199)
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Harder Scale DrawingsHarder Scale DrawingsMTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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1. 13 + (- 20)
3. 5% of £120
4. A square has length 3m.
Find the perimeter and area.
o2. I f I am f acing SE and turn 90
clockwise. Which direction am I f acing now.
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. We are learning how to write down directions using a map.
2. We are learning how to construct a scale drawing using bearings.
1. Be able to make sense of a map.
Directions & Scale Directions & Scale DrawingsDrawings
2. Write down accurate directions from a map.
3. Construct and interpret an accurate scale drawing.
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 2023 Created by Mr. Lafferty Maths Dept.
Compass Points
N
S
EW 090o
360/000o
270o
180o
SE
Half way between South and East
SW
Half way between South and West
Half way between North
and WestNW NE
Half way between North and East
MTH 2-17c MTH 2-17dMTH 3-17b
Compass PointsCompass PointsIf Anne walks to Julie then to Amy and then
back to where she started. Write down all
the directions she took.
If Daniel is facing North and turns
clockwise to face Anne. How many degrees is this.
If Daniel is facing Frances and turns
clockwise to face Amy. How many degrees is
this.
If Amy is facing Paul and turns anti-
clockwise to face Daniel. How many
degrees is this.
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Julie
Gary
Frances
Daniel
Amy
Barry
Anne
Paul
N
Who is North of DanielWho is East of JohnWho is South West of Barry
Who is North East of Gary
If Gary walks to John then to Barry and then
back to where he started. Write down all the directions he took.
MTH 2-17c MTH 2-17dMTH 3-17b
Map DirectionsMap DirectionsI leave the zoo to go back to my car which is in the
town car park. Write down the directions I should
take.
There’s a fire at the library. Right down the
directions the fire engine should take.
I come out of the swimming pool and turn
right then left. I go into the building second on my the
right. Name the building.
After going to the park I want to go to the cinema.
Tea Lane is closed. Write down the directions
I should take.
I come out of school and go to the Park.
Write down the directions I must take.
I come out of the charity shop and need to catch a bus. Write
down the directions to the bus station.
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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N
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 4Ch17 do orally (page
202)
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Compass pointsMTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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1. - 3 + 14
3. 15% of £120
4. A rectangle has length 4m breadth 5m
Find the perimeter and area.
o2. I f I am f acing SE and turn 90
clockwise. Which direction am I f acing now.
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1 We are learning how to work out a bearing..
1. Calculate a bearing.
2. Remember to give a bearing in the correct format (three figure reference).
Scale Drawings & Scale Drawings & BearingsBearings
MTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 2023 Created by Mr. Lafferty Maths Dept.
1. Measured from North.
2. In a clockwise direction.3. Written as 3 figures.
N
S
EW
N
S
EW
N
S
EW
060o
145o230o
315o
60o
145o
230o 315o
Bearings
N
S
EW 090o
360/000o
270o
180o
11 Apr 2023 Created by Mr. Lafferty Maths Dept.
Bearings
N
S
EW 090o
360/000o
270o
180o
A 360o protractor is
used to measure bearings.
020o
080o
110o
SE
135o
160o
210o
SW
225o
250o
290o
NW
315o
350o
Use your protractor to measure the bearing of each point from the centre of the circle. (Worksheet 1)
NE
045o
Worksheet 1
11 Apr 2023 Created by Mr. Lafferty Maths Dept.
360/000o
090o
180o
270oW E
N
S
Air Traffic ControllerControl
Tower
Estimate the bearing of
each aircraft from the
centre of the radar
screen.
030o
075o
045o
200o
135o
330o
225o
290o
110o250o
315o
170o
11 Apr 2023 Created by Mr. Lafferty Maths Dept.
360/000o
090o
180o
270oW E
N
S
Air Traffic ControllerControl
Tower
1
2
12
10 9
8
411
7
6
53
040o
250o
280o
120o
195o
010o
325o
155o
235o
310o
060o
Worksheet 2
Estimate the bearing of
each aircraft from the
centre of the radar
screen.
ACE
Controller
contest
11 Apr 2023 Created by Mr. Lafferty Maths Dept.
Bearings
Measuring the bearing of one point from another.
1. Draw a straight line between both points.2. Draw a North line at P.
3. Measure angle between.
N
P
Q
To Find the bearing of Q from P.
118o
Worksheet 3
11 Apr 2023 Created by Mr. Lafferty Maths Dept.
Bearings
Measuring the bearing of one point from another.
1. Draw a straight line between both points.2. Draw a North line at Q.
3. Measure angle between.
N
P
Q
To Find the bearing of P from Q.
298o
Worksheet 3
11 Apr 2023 Created by Mr. Lafferty Maths Dept.
Bearings: Fixing Position
Trainee pilots have to to learn to be cope when the unexpected happens. If their navigation equipment fails they can quickly find their position by calling controllers at two different airfields for a bearing. The two bearings will tell the pilot where he is. The initial call on the controllers radio frequency will trigger a line on the radar screen showing the bearing of the calling aircraft.
Airfield (A)283.2 MHZ UHF
Airfield (B)
306.7 MHZ UHFThankyou
170o
255o
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 5Ch17 (page 203)
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BearingsMTH 2-17c MTH 2-17dMTH 3-17b
11 Apr 2023 Created by Mr. Lafferty Maths Dept.
Bearings
N
S
EW 090o
000/360o
270o
180o
Worksheet 1
11 Apr 2023 Created by Mr. Lafferty Maths Dept.
My Estimated Bearing
True Bearin
gError
1
2
3
4
5
6
7
8
9
10
11
12
Total Error
Average Error
Worksheet 2 (Radar)
My Estimated Bearing
True Bearin
gError
1
2
3
4
5
6
7
8
9
10
11
12
Total Error
Average Error