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Mathematics·Fractions·representational

Fractions on a number line (age 8+)

Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b

Suggested ages 8–9

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Learning journey

Your child is developing a deeper understanding of fractions and decimals — learning to add and subtract fractions, convert between fractions and decimals, and use them to solve practical problems involving measurements and money.

Evidence of understanding

  • Partition a 0-to-1 number line into 4 equal parts and mark 1/4
  • Explain that each part on the line has size 1/b
  • Locate 1/3 and 1/6 on separate number lines
  • Locate 3/4 on a number line by counting three 1/4-jumps from 0
  • Place 5/6 on a number line and explain the process
  • Identify a fraction shown by a point on a pre-partitioned number line

Assessment prompt

If Fractions on a number line (age 8+) draws a number line from 0 to 1 split into 5 equal parts, can they label where 2/5 and 4/5 go — and explain how they worked it out?

Standards alignment

No external standards are linked to this topic.