Why explain fractions through drawings before calculating?
Fractions describe equal parts of a whole. Drawing, folding and number lines explain numerator and denominator and prevent treating them as two unrelated numbers.
Practical takeaways
- The parts must be equal.
- The same fraction has different representations.
- Units are essential in measurement and perimeter.
A fraction is part of a whole
Divide paper or a shape into equal parts and colour some. The denominator counts equal parts; the numerator counts chosen parts. Change the shape while keeping the fraction.
Comparing on a number line
Mark 0 and 1, then halves and quarters. The child sees 1/2 is greater than 1/4 and value depends on position, not just digit size.
Measurement and conversion
Connect metres and centimetres to real tools, litres and capacity to containers. Before converting, ask whether the number will increase or decrease.
Perimeter and shapes
Perimeter is boundary length. Have the child measure and add sides, distinguishing shape properties from size or orientation.
Frequently asked questions
Is 1/4 greater than 1/2 because 4 is greater than 2?
No. For the same whole, more equal parts mean smaller individual parts. A drawing or pizza illustrates this.
How can I check a conversion?
Use unit relationships and estimate: one metre contains 100 cm, so the number of centimetres is larger.
Is a square a rectangle?
Yes: it has four right angles, with the additional property of equal sides.