Scaled Drawings

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Scaled Drawings
MTH 2-17c MTH 2-17d MTH 3-17b
Working with Scales
Making Simple Scale Drawings
Harder Scale Drawings
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Compass Points
Bearings
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Starter Questions
MTH 2-17c MTH 2-17d MTH 3-17b
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Scale Drawings Bearings
MTH 2-17c MTH 2-17d MTH 3-17b
Learning Intention
Success Criteria

1. Understand the term scale drawings.

1. We are learning the term scale drawing.
2. Interpret scale drawing into real-life
measurements.
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Scales
MTH 2-17c MTH 2-17d MTH 3-17b
S1 Level E
Definition
A scale of 1 cm 2m
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This simply means for every 1cm measured on
a drawing this represents 2m in real-life.
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Scales
MTH 2-17c MTH 2-17d MTH 3-17b
In order to make sense of a map or scale
diagram the scale must be known.
For this scale model
1 cm represents 1m
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4 cm
This means for every 1 metre of the actual car,
1cm is drawn on the map.
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Scales
MTH 2-17c MTH 2-17d MTH 3-17b
The scale of this drawing is 1cm 5m
6cm
What is the actual length of the tree ?
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30m
6 x 5
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Scales
MTH 2-17c MTH 2-17d MTH 3-17b
The scale of this drawing is 1cm 90cm
What is the actual length of the bus in metres ?
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5cm
450cm
5 x 90
4.5m
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Scales
MTH 2-17c MTH 2-17d MTH 3-17b
Now try Ex 1 Ch17 (page 194)
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Starter Questions
MTH 2-17c MTH 2-17d MTH 3-17b
14cm
7cm
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10cm
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Scale Drawings Bearings
MTH 2-17c MTH 2-17d MTH 3-17b
Learning Intention
Success Criteria
1. Interpret information in a problem and create
a suitable scale drawing.
1 We are learning to draw a scale drawing given
suitable information.
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Scaled Drawings
MTH 2-17c MTH 2-17d MTH 3-17b
Problem
A garden is rectangular in shape and has length
12m and breadth 8m. Make rough sketch of the
garden.
12m
Draw an accurate scaled drawing of the
garden Use a scale of 1cm represents 2m
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8m
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Scaled Drawings
MTH 2-17c MTH 2-17d MTH 3-17b
Use a scale of 1cm represents 2m
1cm represents 2m
12m
12m
8m
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8m
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Scaled Drawings
MTH 2-17c MTH 2-17d MTH 3-17b
Problem
A road junction is triangular in shape. A rough
sketch is given below.
Draw an accurate scaled drawing of the
junction Use a scale of 1cm represents 2m
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20m
12m
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Scaled Drawings
MTH 2-17c MTH 2-17d MTH 3-17b
Use a scale of 1cm represents 2m
Find the real life length of the 3rd side
1cm represents 2m
20m
20m
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12m
23.2m
2 x 11.6
12m
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Scale Drawings Bearings
MTH 2-17c MTH 2-17d MTH 3-17b
Now try Exercise 2 Ch17 (page 197)
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Starter Questions
MTH 2-17c MTH 2-17d MTH 3-17b
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Scale Drawings Bearings
MTH 2-17c MTH 2-17d MTH 3-17b
Learning Intention
Success Criteria
1. Interpret information in a problem to create
a suitable scale drawing.
1. We are learning to solve real-life problems
using scale drawings.
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2. Apply a scale drawing methods to solve a
given problem.
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Scale Drawings Bearings
MTH 2-17c MTH 2-17d MTH 3-17b
Problem
The sketch shows a flag-pole YT supported by a
wire. The distance from X to Y is 6m and angle
TXY 55o.
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Make a scale drawing and work Out the real height
of the pole.
Use a scale of 1cm 2m
6m
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Scale Drawings Bearings
Solution
Using a scale of 1cm 2m
T
Step 1 Draw line XY3cm
Step 2 Draw a line straight up from Y.
Step 3 Measure angle 55o from X.
Step 4 Draw line from X to vertical line
and mark T at crossover point.
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4.3cm
Step 5 Measure length YT.
Step 6 Multiply length YT. by scale
factor.
4.3 x 2 8.6m
X
Y
Flag pole is 8.6m high
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Harder Scale Drawings
MTH 2-17c MTH 2-17d MTH 3-17b
Now try Exercise 3 Ch17 (page 199)
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Starter Questions
MTH 2-17c MTH 2-17d MTH 3-17b
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Directions Scale Drawings
MTH 2-17c MTH 2-17d MTH 3-17b
Learning Intention
Success Criteria
1. Be able to make sense of a map.

• We are learning how to write down directions
  using a map.
• 2. We are learning how to construct a scale
  drawing using bearings.

• Write down accurate directions from a map.
• 3. Construct and interpret an accurate scale
  drawing.

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Compass Points
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If Gary walks to John then to Barry and then back
to where he started. Write down all the
directions he took.
If 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.
Who is North of Daniel
Who is East of John
Who is South West of Barry
Who is North East of Gary
Compass Points
MTH 2-17c MTH 2-17d MTH 3-17b






Frances
John
Barry
N
Daniel
Julie
Anne
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Amy
Gary
Paul
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I leave the zoo to go back to my car which is in
the town car park. Write down the directions I
should take.
After going to the park I want to go to the
cinema. Tea Lane is closed. Write down the
directions I should take.
Theres 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.
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.
Map Directions
MTH 2-17c MTH 2-17d MTH 3-17b
N
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Compass points
MTH 2-17c MTH 2-17d MTH 3-17b
Now try Ex 4 Ch17 do orally (page 202)
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Starter Questions
MTH 2-17c MTH 2-17d MTH 3-17b
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Scale Drawings Bearings
MTH 2-17c MTH 2-17d MTH 3-17b
Learning Intention
Success Criteria
1. Calculate a bearing.
1 We are learning how to work out a bearing..
2. Remember to give a bearing in the correct
format (three figure reference).
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1. Measured from North.
060o
2. In a clockwise direction.
3. Written as 3 figures.
315o
230o
145o
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Bearings
Use your protractor to measure the bearing of
each point from the centre of the circle.
(Worksheet 1)
A 360o protractor is used to measure bearings.
Worksheet 1
31
Estimate the bearing of each aircraft from the
centre of the radar screen.
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Worksheet 2
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118o
1. Draw a straight line between both points.
2. Draw a North line at P.
3. Measure angle between.
Worksheet 3
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298o
1. Draw a straight line between both points.
2. Draw a North line at Q.
3. Measure angle between.
Worksheet 3
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Bearings
MTH 2-17c MTH 2-17d MTH 3-17b
Now try Ex 5 Ch17 (page 203)
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My Estimated Bearing True Bearing Error
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Total Error
Average Error
My Estimated Bearing True Bearing Error
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Total Error
Average Error
Worksheet 2 (Radar)