Mathematics·Fractions·representational
Area with Fractions
Find the area of a rectangle with fractional side lengths by tiling with unit-fraction squares; show that the area equals the product of the side lengths
Suggested ages 10–11
Learning journey
Your child is mastering advanced fraction operations — adding, subtracting, and multiplying fractions with different denominators, dividing with fractions, and solving real-world problems using visual models and mathematical reasoning.
Evidence of understanding
- Tile a 2/3 × 3/4 rectangle with 1/12 squares and count to find area = 6/12 = 1/2
- Explain why the number of unit-fraction tiles equals the product of the two fractions
- Calculate the area of a rectangle with sides 1 1/2 and 2/3 using fraction multiplication
Assessment prompt
If a piece of fabric is 2/3 m long and 3/4 m wide, can Area with Fractions work out its area — and explain how tiling it with tiny fraction-squares shows the same answer as multiplying?
Standards alignment
No external standards are linked to this topic.