New

New

Year 10

Foundation

# Checking and securing understanding of scaled drawings

I can interpret scaled drawings in a variety of contexts.

New

New

Year 10

Foundation

# Checking and securing understanding of scaled drawings

I can interpret scaled drawings in a variety of contexts.

## Lesson details

### Key learning points

- Maps are a practical example of a multiplicative relationships.
- The scale factor is the multiplier.
- The multiplicative relationship can be written as a ratio.
- Real-life scaling involves writing a ratio involving the parts which are dependent on each other.

### 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

### Keywords

Proportionality - Variables are in proportion if they have a constant multiplicative relationship.

Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.

Provide groups of pupils with a scale model or photograph. Give them the scale and as a group the pupils can work out the measurements in real-life.

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).

## Video

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## Starter quiz

Download starter quiz

### 6 Questions

Q1.

Variables are in proportion if they have a constant relationship.

additive

different

division

Q2.

How many centimetres are in 1 metre?

Q3.

How many centimetres are in 1 kilometre?

Q4.

If 1 cm = 5 km, how many kilometres are represented by 6 cm?

Q5.

If 1 cm = 5 km, how many centimetres represent 45 km?

Q6.

If 1 cm = 5 km, how many kilometres are represented by 4.5 cm?

## Exit quiz

Download exit quiz

### 6 Questions

Q1.

Variables are in proportion if they have a relationship.

constant additive

different additive

different multiplicative

Q2.

If 1 cm = 20 km, how many kilometres are represented by 6 cm?

Q3.

If 1 cm = 20 km, how many centimetres represent 60 km?

Q4.

The scale on a map is 1 : 300 000. The distance between two places on the map is 4 cm. What is the distance in real life in kilometres?

Q5.

The scale on a map is 1 : 400 000. The distance between two places in real life is 14 km. What is the distance between them on the map?

Q6.

The scale of a model building is 1 : 200. The height of a model church is 6.5 cm. How tall is the church in real life?