New
New
Year 10
Higher
Checking and securing understanding of scaled drawings
I can interpret scaled drawings in a variety of contexts.
New
New
Year 10
Higher
Checking and securing understanding of scaled drawings
I can interpret scaled drawings in a variety of contexts.
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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.
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.
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
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).
Lesson video
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Starter quiz
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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
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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?