Mathematics·Ratio & Proportion·procedural
Scale and similar shapes (age 11+)
Use scale factors to interpret and create scale diagrams and maps, calculating real-life distances from map measurements and vice versa
Suggested ages 11–13
Evidence of understanding
- Calculate a real-life distance from a map measurement using a given scale (e.g. 1:25,000)
- Draw a scale diagram of a room using a chosen scale factor
- Convert between map distance and actual distance in problems involving different units
Assessment prompt
If Scale and similar shapes (age 11+) looks at a map where 1 cm = 50 km, can they work out the real distance between two cities that are 4.5 cm apart on the map?
Standards alignment
7.RP.2bUS · ccss-math
Identify the constant of proportionality (unit rate)
Common Core State Standards for Mathematics · 7
KS3.Maths.Ratio.2GB · uk-nc-2013
Scale Factors and Diagrams
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3