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Mathematics·Ratio & Proportion·procedural

Scale and similar shapes

Solve problems involving similar shapes where the scale factor is known or can be found

Suggested ages 10–11

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Learning journey

Your child is learning to compare quantities and solve problems involving ratios, proportions, percentages, and scale — essential skills for understanding relationships between numbers in real-world contexts.

Evidence of understanding

  • Find the missing side of a similar rectangle given a scale factor of 3
  • Determine the scale factor between two similar triangles from given side lengths
  • Use a scale factor to enlarge or reduce a shape and verify that all sides are in the same ratio

Assessment prompt

If Scale and similar shapes has a scale drawing where 1 cm represents 5 m, and a room measures 3.5 cm on the plan, can they work out the real length of the room?

Standards alignment

No external standards are linked to this topic.