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Mathematics·Mathematical Thinking·meta

Fractions on a number line

Move fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what each representation shows

Suggested ages 8–9

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Learning journey

Your child is developing strong mathematical reasoning skills — learning to explain their thinking clearly, spot patterns and connections, and choose the best strategies for solving complex problems.

Evidence of understanding

  • Represent a sharing problem as both a fraction diagram and a division equation
  • Explain how a bar model for 4 × 23 connects to the area model and the written method
  • Translate a decimal on a number line into a fraction and explain the equivalence

Assessment prompt

When Fractions on a number line works on a maths problem involving decimals or fractions, can they move between a fraction strip, a number line, and a written equation — explaining what each one is showing?

Standards alignment

No external standards are linked to this topic.