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
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“If your child 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?”
Full guide and materials
- Activity. 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
What to notice. 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
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If your child 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?
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
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Check 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
“If your child 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?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 8–9