Checking and securing understanding of drawing accurate scaled diagrams | Maths

Starter quiz

Variables are in proportion if they have a ______ multiplicative relationship.

different

constant ✓

changing

unrelated
If 1 cm = 20 km, how many kilometres are represented by 5 cm?

'100 km' ✓
If 1 cm = 20 km, how many centimetres represent 180 km?

'9 cm' ✓
The scale on a map is 1 : 300 000. The distance between two places on the map is 6 cm. What is the distance in real life in kilometres?

'18 km' ✓
The scale on a map is 1 : 400 000. The distance between two places in real life is 34 km. What is the distance between them on the map?

'8.5 cm' ✓
The scale of a model building is 1 : 200. The height of a model block of flats is 5 cm. How tall is the block of flats in real life?

'10 m' ✓

A ______ factor is the multiplier between similar shapes that describes how large one shape is compared to the other.

'scale' ✓
In the scale 1 : 500, 1 cm = 5 ______.

'metres' ✓
For which of the following sketches is the scale 1 : 50 appropriate?
Which is the most appropriate scale to draw an accurate scaled drawing of this plan of a house?

1 : 3

1 : 40 ✓

1 : 400

1 : 500

1 : 4000
Using the scale 1 : 500 which are the correct dimensions of the scaled drawing of this field?

0.4 cm × 0.6 cm

4 cm × 6 cm

40 cm × 60 cm ✓

400 cm × 600 cm
Using the scale 1 : 500 which are the correct dimensions of the real life field?

1.3 m × 2.55 m

1.3 km × 2.55 km

13 m × 25.5 m ✓

13 km × 25.5 km

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Given the real measurements, a suitable scale factor can be chosen.
The scale factor should mean the scaled diagram is easy to draw accurately.
The scale factor can be determined by the units.
The scale factor used should always be clearly written next to the scaled diagram.

Misinterpreting a scale, particularly if given with no units.

Encourage pupils to carefully convert the scale into a more useful scale. E.g. writing 1 : 20 0000 as 1 cm = 2 km

Scale factor - A scale factor is the multiplier between similar shapes that describes how large one shape is compared to the other.
Degree of accuracy - A degree of accuracy shows how precise a number or measurement is.