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
Teaching approaches
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1 approach
If a piece of fabric is 2/3 m long and 3/4 m wide, can your child work out its area — and explain how tiling it with tiny fraction-squares shows the same answer as multiplying?
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
Learning resources
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This concept
Check 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
“If a piece of fabric is 2/3 m long and 3/4 m wide, can your child work out its area — and explain how tiling it with tiny fraction-squares shows the same answer as multiplying?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 10–11