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Mathematics·Mathematical Thinking·meta

Fractions, Decimals & Percentages

Look for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication; apply angle facts to find unknowns; use properties of regular polygons systematically

Suggested ages 9–10

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Learning journey

Your child is developing advanced problem-solving skills, learning to choose the best mathematical tools and methods for complex problems, and communicating their mathematical reasoning clearly.

Evidence of understanding

  • Use the structure 25 × 16 = 25 × 4 × 4 = 100 × 4 = 400 by exploiting factor pairs
  • Recognise that 0.75 = 3/4 = 75% and use whichever form is most efficient for the problem
  • Use the fact that angles on a straight line sum to 180° as a structural tool to find missing angles

Assessment prompt

When Fractions, Decimals & Percentages notices that fractions, decimals, and percentages are just different ways of writing the same thing, do they use that understanding to switch between them fluidly when it makes a calculation easier?

Standards alignment

No external standards are linked to this topic.