New
New
Year 10
Higher

Checking and securing understanding of drawing accurate scaled diagrams

I can draw an accurate scaled diagram using a suitable choice of scale.

New
New
Year 10
Higher

Checking and securing understanding of drawing accurate scaled diagrams

I can draw an accurate scaled diagram using a suitable choice of scale.

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Lesson details

Key learning points

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

Keywords

  • 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.

Common misconception

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

If your class need scaffolding they can be given a scale for question 3 on task B. Scales can also be tailored to suit the ability of pupils you are delivering the lesson to.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
Variables are in proportion if they have a multiplicative relationship.
different
Correct answer: constant
changing
unrelated
Q2.
If 1 cm = 20 km, how many kilometres are represented by 5 cm?
Correct Answer: 100 km, 100 kilometres, 100
Q3.
If 1 cm = 20 km, how many centimetres represent 180 km?
Correct Answer: 9 cm, 9, 9 centimetres
Q4.
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?
Correct Answer: 18 km, 18, 18 kilometres
Q5.
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?
Correct Answer: 8.5 cm, 8.5, 8.5 centimetres
Q6.
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?
Correct Answer: 10 m, 10 metres, 10

6 Questions

Q1.
A factor is the multiplier between similar shapes that describes how large one shape is compared to the other.
Correct Answer: scale
Q2.
In the scale 1 : 500, 1 cm = 5 .
Correct Answer: metres, m
Q3.
For which of the following sketches is the scale 1 : 50 appropriate?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q4.
Which is the most appropriate scale to draw an accurate scaled drawing of this plan of a house?
An image in a quiz
1 : 3
Correct answer: 1 : 40
1 : 400
1 : 500
1 : 4000
Q5.
Using the scale 1 : 500 which are the correct dimensions of the scaled drawing of this field?
An image in a quiz
0.4 cm × 0.6 cm
4 cm × 6 cm
Correct answer: 40 cm × 60 cm
400 cm × 600 cm
Q6.
Using the scale 1 : 500 which are the correct dimensions of the real life field?
An image in a quiz
1.3 m × 2.55 m
1.3 km × 2.55 km
Correct answer: 13 m × 25.5 m
13 km × 25.5 km