MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Scales & Drawing Enlarge & Reduce Shapes...

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

Making Basic Scale DrawingsScale Drawings using ProtractorScale Drawings with Bearings

MTH 3-17b

Starter Starter QuestionsQuestions

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.

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

2 cm2 cm

1 →2 →

Reduction Reduce this shape by a factor

of a quarter.

6 cm 1.5 cm

8 →6 →

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)

mScale DrawingsScale Drawings

MTH 3-17b

Starter QuestionsStarter Questionsww

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

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

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

m ScalesScales

Drawing Real-Life1 → 1.54 →

Are we expecting more or

3 May 20233 May 2023

411.5 6m

Make bigger fraction

Working with scales is simply using proportion.

MTH 3-17b

The scale of this drawing is 1cm = 5m

What is the actual length of the tree ?

ScalesScales

MTH 3-17b

m ScalesScales

Drawing Real-Life1 → 57 →

3 May 20233 May 2023

MTH 3-17b

The scale of this drawing is 1cm = 54m

What is the actual height of the Eiffel Tower in

metres ?

ScalesScales

MTH 3-17b

m ScalesScales

3 May 20233 May 2023

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.

mScalesScales

MTH 3-17b

m ScalesScales

3 May 20233 May 2023

412.5 10m

MTH 3-17b

Now try TJ3bEx 2

Ch9 (page 84)

MTH 3-17b

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

1. 125.2 + 19.82

MTH 3-17b

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

Problem

A garden is rectangular in shape and has length 12m and breadth 8m. Make rough sketch of the garden.

Draw an accurate scaled drawing of the garden

Use a scale of 1cm represents 2m

MTH 3-17b

Scaled DrawingsScaled DrawingsUse a scale of

1cm represents 2m12m

1cm represents 2m

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 12m

MTH 3-17b

Use a scale of 1cm represents 2m

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)

MTH 3-17b

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

1. 2.5 + 1.23 + 25.252

MTH 3-17b

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

Problem

The sketch shows a flag-pole YT supported by a wire. The distance from X to Y is 6m and angle TXY = 55o.

Make a scale drawing and workOut the real height of the pole.

Use a scale of 1cm = 2m

MTH 3-17b

mScale Drawings

SolutionStep 1: Draw line XY=3cm

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.

Step 5: Measure length YT.Step 6: Multiply length YT. by scale factor.

MTH 3-17b

3 May 20233 May 2023

4.312 8.6m

MTH 3-17b

Now try TJ3bEx 4

Ch9 (page 89)

MTH 3-17b

Starter QuestionsStarter Questions

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

1. 89.6 + 17.27 - 1.01

MTH 3-17b

3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.St. A

w’s S

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.

145o 230o

230o 315o

Bearings

EW 090o

360/000o

MTH 3-17b

Bearings

EW 090o

360/000o

MTH 3-17b

Draw a bearing of 050o.

Drawing Bearings

MTH 3-17b

Draw a bearing of 285o.

Drawing Bearings

MTH 3-17b

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

MTH 3-17b

Make an accurate drawing of the plane journey 1cm represents 50m

Scaled Drawings using Bearings

MTH 3-17b

3 May 20233 May 2023

9150 450m

MTH 3-17b

Now try TJ3bEx 5

Ch9 (page 91)

Have you updated your Learning book ?

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Scales & Drawing Enlarge & Reduce Shapes...

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