Mathematics·Fractions·conceptual
Understanding fractions (age 9+)
Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5)
Suggested ages 9–10
Learning journey
Your child is exploring fractions, decimals, and percentages — understanding how they relate to each other, adding and subtracting fractions, and solving real-world problems involving these concepts.
Evidence of understanding
- Express 5/8 as a sum of five copies of 1/8
- Show on a number line how 4/3 is built by iterating 1/3 four times
- Explain why 7/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4
Assessment prompt
If you ask Understanding fractions (age 9+) to show 4/5 as a sum of smaller equal fractions, can they write it out as 1/5 + 1/5 + 1/5 + 1/5?
Standards alignment
No external standards are linked to this topic.