mth 3-17b 27-jan-16created by mr. lafferty maths dept. scales & drawing enlarge & reduce...

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

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Making Basic Scale DrawingsScale Drawings using ProtractorScale Drawings with Bearings

MTH 3-17b


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.

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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.


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


Now try TJ3bEx 1

Ch9 (page 82)

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mScale DrawingsScale Drawings

MTH 3-17b


Starter QuestionsStarter Questionsww

w.m

aths

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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


(a) 2.67 (b) 3.23 (c) 2.99

MTH 3-17b


ScalesScalesww

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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


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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


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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


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The scale of this drawing is 1cm = 5m

What is the actual length of the tree ?

ScalesScales

MTH 3-17b


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Drawing Real-Life1 → 57 →


less

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71

5 35m



MTH 3-17b


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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


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6154 324m



MTH 3-17b


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


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412.5 10m



MTH 3-17b


Now try TJ3bEx 2

Ch9 (page 84)

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MTH 3-17b



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(a) 9.227 (b) 19.454 (c) 117.094

1. 125.2 + 19.82



MTH 3-17b


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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


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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


Draw an accurate scaled drawing of the garden

Use a scale of 1cm represents 2m

MTH 3-17b


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12m

8m

Scaled DrawingsScaled DrawingsUse a scale of

1cm represents 2m12m

8m

1cm represents 2m

MTH 3-17b


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Problem

A road junction is triangular in shape. A rough sketch is given below.

20m


Draw an accurate scaled drawing of the junction

Use a scale of 1cm represents 2m 12m

MTH 3-17b



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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


Now try TJ3bEx 3

Ch9 (page 86)

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MTH 3-17b



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(a) 23.22734 (b) 29.45554 (c) 127.1096

1. 2.5 + 1.23 + 25.252



MTH 3-17b


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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.


MTH 3-17b


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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


MTH 3-17b


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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


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4.312 8.6m



MTH 3-17b


Now try TJ3bEx 4

Ch9 (page 89)

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MTH 3-17b


Starter QuestionsStarter Questions


(a) 12.467 (b) 93.223 (c) 21.929

1. 89.6 + 17.27 - 1.01



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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.


Bearings

MTH 3-17b


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


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


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Draw a bearing of 050o.

Drawing Bearings

050o

MTH 3-17b

N


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Draw a bearing of 285o.

Drawing Bearings

285o

MTH 3-17b


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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


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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


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3 May 20233 May 2023

9150 450m



MTH 3-17b


Now try TJ3bEx 5

Ch9 (page 91)

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mth 3-17b 27-jan-16created by mr. lafferty maths dept. scales & drawing enlarge & reduce...

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