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Selected topic Coordinates (age 12+) Mathematics · Geometry · view full details

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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

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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