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MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To be able to enlarge or reduce a shape by a given scale factor. 1. We are learning mathematically to enlarge or reduce various shapes. Scales & Drawing Enlargement & Reduction
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MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Scales & Scales & DrawingDrawing
Enlarge & Reduce ShapesScale Drawing to find Length
www.
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Making Basic Scale DrawingsScale Drawings using ProtractorScale Drawings with Bearings
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
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2. Calculate 30% of 80
(a) 9.227 (b) 19.454 (c) 117.09
1. 25% of 25.2
3. Round to 1 decimal place
4. Find the value of x 4x +2 = 122
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.www.
mat
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visio
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m Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To be able to enlarge or To be able to enlarge or reduce a shape by a reduce a shape by a given scale factor.given scale factor.
1. We are learning mathematically to enlarge or reduce various shapes.
Scales & Scales & DrawingDrawing
Enlargement & Reduction
Enlargement Enlarge this shape by a factor
of 2.
1 cm
2 cm2 cm
4 cm
1 →2 →
24
Reduction Reduce this shape by a factor
of a quarter.
8 cm
2 cm
6 cm 1.5 cm
8 →6 →
21.5
3 May 2023 Created by Mr. Lafferty Maths Dept.
Double the size of the
shape. Half the
size of the shape.
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 1
Ch9 (page 82)
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MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsww
w.m
aths
revi
sion.
com o2. I f I am f acing NW and turn 180
clockwise. Which direction am I f acing now.
1. 99.6 + 7.27
3. 25% of £2.60
4. Round to 1 decimal place
(a) 2.67 (b) 3.23 (c) 2.99
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
ScalesScalesww
w.m
aths
revi
sion.
com Learning Intention Success Criteria
1. To understand the term scale.
1. We are learning about scales on drawings.
2. Calculate the real-life distance given a scale factor.
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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In order to make sense of a map or scale diagramthe scale must be known.
ScalesScales
For this scale model1 cm represents 1.5 m
This means for 1 cm on the drawing represents in real-life 1.5 m
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.www.
mat
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m ScalesScales
Drawing Real-Life1 → 1.54 →
Are we expecting more or
less
3 May 20233 May 2023
411.5 6m
Make bigger fraction
Working with scales is simply using proportion.
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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The scale of this drawing is 1cm = 5m
What is the actual length of the tree ?
ScalesScales
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.www.
mat
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m ScalesScales
Drawing Real-Life1 → 57 →
Are we expecting more or
less
3 May 20233 May 2023
71
5 35m
Make bigger fraction
Working with scales is simply using proportion.
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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mat
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The scale of this drawing is 1cm = 54m
What is the actual height of the Eiffel Tower in
metres ?
ScalesScales
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.www.
mat
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m ScalesScales
Drawing Real-Life1 → 546 →
Are we expecting more or
less
3 May 20233 May 2023
6154 324m
Make bigger fraction
Working with scales is simply using proportion.
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
ProblemThe scaled drawing has a scale of 1cm = 2.5mXT measures 4cm of the drawing and represents a steel wire support for the flag pole. What is the real-life length of the wire.
X
T
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MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.www.
mat
hsre
visio
n.co
m ScalesScales
Drawing Real-Life1 → 2.54 →
Are we expecting more or
less
3 May 20233 May 2023
412.5 10m
Make bigger fraction
Working with scales is simply using proportion.
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 2
Ch9 (page 84)
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mat
hsre
visio
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mScale DrawingsScale Drawings
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
www.
mat
hsre
visio
n.co
m
2. Calculate 30% of 80
(a) 9.227 (b) 19.454 (c) 117.094
1. 125.2 + 19.82
3. Round to 2 decimal place
4. Find the value of x 4x +2 = 122
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
www.
mat
hsre
visio
n.co
m Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. We are learning to draw a basic scale drawing given suitable information.
1. Using the scale to draw accurately a basic scale drawing.
Scaled DrawingsScaled Drawings
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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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 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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12m
8m
Scaled DrawingsScaled DrawingsUse a scale of
1cm represents 2m12m
8m
1cm represents 2m
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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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 junction
Use a scale of 1cm represents 2m 12m
MTH 3-17b
Scaled DrawingsScaled Drawings
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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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 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 3
Ch9 (page 86)
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mat
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mScale DrawingsScale Drawings
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
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2. Calculate 40% of 120
(a) 23.22734 (b) 29.45554 (c) 127.1096
1. 2.5 + 1.23 + 25.252
3. Round to 3 decimal place
4. Find the value of x 7x +4 = 102
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
www.
mat
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m 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.
Scales & Scales & DrawingDrawing
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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Problem
The sketch shows a flag-pole YT supported by a wire. The distance from X to Y is 6m and angle TXY = 55o.
55oX
T
Y
6m
Make a scale drawing and workOut the real height of the pole.
Use a scale of 1cm = 2m
Scales & Scales & DrawingDrawing
MTH 3-17b
3 May 2023 Created by Mr. Lafferty Maths Dept.
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mat
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mScale Drawings
55oX
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 55o 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
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.www.
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Drawing Real-Life1 → 24.3 →
Are we expecting more or
less
3 May 20233 May 2023
4.312 8.6m
Make bigger fraction
Scales & Scales & DrawingDrawing
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 4
Ch9 (page 89)
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mat
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mScale DrawingsScale Drawings
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questions
2. Calculate 80% of 84
(a) 12.467 (b) 93.223 (c) 21.929
1. 89.6 + 17.27 - 1.01
3. Round to 2 decimal place
4. Find the value of x 3x +100 = 70
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MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.St. A
ndre
w’s S
econ
dary Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. We are learning how to calculate a bearing and apply it to problems.
1. Remember the steps on how to work out a bearing.2. Apply knowledge to problems.
Scales & Scales & DrawingDrawing
Bearings
MTH 3-17b
3 May 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
145o 230o
315o
60o
145o
230o 315o
Bearings
N
S
EW 090o
360/000o
270o
180o
MTH 3-17b
3 May 2023 Created by Mr. Lafferty Maths Dept.
Bearings
N
S
EW 090o
360/000o
270o
180o
020o
080o
110o
SE
135o
160o
210o
SW
225o
250o
290o
NW315
o
350o
NE
045o
MTH 3-17b
N
3 May 2023 Created by Mr. Lafferty Maths Dept.
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Draw a bearing of 050o.
Drawing Bearings
050o
MTH 3-17b
N
3 May 2023 Created by Mr. Lafferty Maths Dept.
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Draw a bearing of 285o.
Drawing Bearings
285o
MTH 3-17b
3 May 2023 Created by Mr. Lafferty Maths Dept.
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At the beginning of an orienteering competition two runners set off in different directions. Runner 1 runs NE for 350m.Runner 2 runs on a bearing of 150o for 200m.By making an accurate scale drawing, how far apart are the two runners.
Scaled Drawings using Bearings
150o
200m
N
045o
350m
R1
R2
MTH 3-17b
N
3 May 2023 Created by Mr. Lafferty Maths Dept.
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Make an accurate drawing of the plane journey 1cm represents 50m
Scaled Drawings using Bearings
045o
S 9cm
7cmR1
R2
4cm
150o
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.www.
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Drawing Real-Life1 → 509 →
Are we expecting more or
less
3 May 20233 May 2023
9150 450m
Make bigger fraction
Scales & Scales & DrawingDrawing
MTH 3-17b
3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 5
Ch9 (page 91)
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mat
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mScale DrawingsScale Drawings
Have you updated your Learning book ?