scale drawings pre-gcse maths. aims and objectives aims to be able to accurately measure a scale...

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Scale Drawings Pre-GCSE Maths

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Page 1: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Scale Drawings

Pre-GCSE Maths

Page 2: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Aims and ObjectivesAims

To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

ObjectivesTo take measurements from scale drawingsTo calculate real life sizesTo find the area of a room and a patioTo calculate distances on a map

Page 3: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Which is the biggest in real life?

Page 4: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

What scale has been used?

To be able to compare them properly we would need to know the scale that they had been drawn to.

This would be written as 1:50, 1:100, etc.

1:50 means that whatever is on paper is 50 times bigger in real life.

1:100 means that whatever is on paper is 100 times bigger in real life.

Page 5: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Here is that information.

1:50 1:25 1:30

Page 6: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Let’s calculate his real height.

If this man was drawn to a scale of 1:50 his height would be what in real life?

4cm x 50 = 200cm 4cm 200cm =

2m

Scale 1:50

Page 7: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Let’s calculate his real height.

If this man was drawn to a scale of 1:25 his height would be what in real life?

8cm x 25 = 200cm 200cm = 2m 8cm

Scale 1:25

Page 8: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Let’s calculate his real height.

If this man was drawn to a scale of 1:30 his height would be what in real life?

6cm x 30 = 180cm 180cm = 1.8m 6 6cm

He is the shortest person. Scale 1:30

Page 9: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

No room for error.

There is no guessing with scale drawings.

If the scale drawing has been drawn accurately, we will always be able to calculate the real life size of the object drawn.

We must always know the scale that has been used.

Page 10: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Demonstration

Click here to see how scale drawings actually work.

Page 11: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Student Activities

Complete tableMeasure items drawn to scale

Measure areas off plan

Page 12: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Map Activity

Maps are usually drawn to a very small scale, i.e. 50,000 or 100,000 times smaller than in real life.

We can accurately measure distances by taking measurements off the map and multiplying them by the scale shown.

Page 13: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Students to complete “As the crow flies” activity

Page 14: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Extended activities as necessary

Page 15: Scale Drawings Pre-GCSE Maths. Aims and Objectives Aims To be able to accurately measure a scale drawing and to calculate real life sizes. (AoN portfolio)

Aims and Objectives

AimsTo be able to accurately measure a scale drawing and to calculate real life sizes.

ObjectivesTo take measurements from scale drawingsTo calculate real life sizesTo find the area of a room and a patioTo calculate distances on a map