Estimating lengths from scale drawings and photos

Use a ratio scale of 1:n, converting both lengths to the same unit first, to find a real-world length from a scale drawing or photo, or a scale drawing/photo length from a real-world measurement.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM6-5
New NZC (2026)
  • NZC26-P4-GEO-SPR-P-Y10-02

Resources

Terminology

  • scale drawing
  • scale (ratio)

Task goals

  • Understand that a scale of 1:n means 1 unit on the drawing or photo represents n of the same unit in real life, and convert both lengths to the same unit before scaling.
  • Given a scale ratio 1:n and a real-world length in metres, find the corresponding model or drawing length in centimetres.
  • Given a scale drawing's length in centimetres and its scale ratio 1:n, find the real length in metres.
  • Given a map's scale ratio 1:n and a distance measured on the map in centimetres, find the real distance in kilometres.

Where this fits

What leads into this objective, and where it goes next.

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Estimating lengths from scale drawings and photos

Estimating lengths from scale drawings and photos

Do

Transforming 2D shapes, including composite shapes, by resizing them by any scale factor

Statement▸
Year 10 · Geometry · Spatial reasoning
NZC26-P4-GEO-SPR-P-Y10-02

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