Mathematics·Geometry·conceptual
Coordinates (age 12+)
Understand similarity as a relationship where one shape is an enlargement of another; construct similar shapes by enlargement with a given scale factor and centre, with and without coordinate grids
Suggested ages 12–14
Evidence of understanding
- Enlarge a shape by a given scale factor from a specified centre of enlargement
- Determine the scale factor between two similar shapes by comparing corresponding sides
- Explain why corresponding angles in similar shapes are equal while sides are in proportion
Assessment prompt
If Coordinates (age 12+) wants to enlarge a photo so it's three times bigger, can they work out the new dimensions — and explain that the shape stays the same but all lengths increase by the same factor?
Standards alignment
8.G.4US · ccss-math
Similarity via transformations
Common Core State Standards for Mathematics · 8
KS3.Maths.Geo.9GB · uk-nc-2013
Congruent and Similar Shapes
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3