Use knowledge of non-unit fractions to solve problems | Maths

Starter quiz

Which of these sentences is correct?
- five-eighths of the shape is shaded ✓
- the parts are unequal
- four-eighths of the shape is shaded
Which of these sentences is correct?
- four-eighths of the shape is unshaded
- three-eighths of the shape is unshaded ✓
- five-eighths of the shape is unshaded
Which of these statements are true?
- There are eight equal parts. ✓
- $\frac{7}{8}$ is shaded. ✓
- $\frac{1}{8}$ is unshaded. ✓
- $\frac{1}{8}$ is shaded.
$What fraction of frogs are on the lily pad?$

What fraction of frogs are on the lily pad?
- $\frac{7}{2}$
- $\frac{2}{8}$
- $\frac{2}{7}$ ✓
- $\frac{2}{5}$
$Sofia works out the fraction of shapes that are shaded. What would the denominator of her fraction be?$

Sofia works out the fraction of shapes that are shaded. What would the denominator of her fraction be?
- '6' ✓
$Jacob works out the fraction of shapes that have an even number of sides. What would the numerator of his fraction be?$

Jacob works out the fraction of shapes that have an even number of sides. What would the numerator of his fraction be?
- '4' ✓

Exit quiz

$Jacob works out the fraction of the shape that is shaded. What would the denominator be?$

Jacob works out the fraction of the shape that is shaded. What would the denominator be?
- '7' ✓
$Jacob works out the fraction of the shape that is shaded. What would the numerator be?$

Jacob works out the fraction of the shape that is shaded. What would the numerator be?
- '5' ✓
$What fraction of this shape is shaded?$

What fraction of this shape is shaded?
- $\frac{7}{9}$
- $\frac{4}{9}$
- $\frac{5}{9}$ ✓
- $\frac{9}{5}$
$What fraction of the pizza has been eaten?$

What fraction of the pizza has been eaten?
- $\frac{1}{5}$
- $\frac{4}{5}$ ✓
- $\frac{5}{4}$
- $\frac{4}{6}$
$What fraction of bananas are in the bowl?$

What fraction of bananas are in the bowl?
- $\frac{1}{5}$
- $\frac{2}{5}$
- $\frac{3}{5}$ ✓
- $\frac{3}{4}$
$What fraction of fruit is in the bowl?$

What fraction of fruit is in the bowl?
- $\frac{5}{6}$
- $\frac{8}{10}$
- $\frac{8}{11}$ ✓
- $\frac{5}{8}$

Worksheet

Presentation

Video

Lesson Details

Key learning points

The whole has been divided (division bar).
The whole has been divided into ___ equal parts (denominator).
A number of the parts have been selected (numerator).
Fractions can be represented in different ways.

Common misconception

Pupils may struggle to see the 'whole'. If several sets are presented together (e.g. different types of fruit in a bowl), is the whole the sum of all the sets or just one of them?

Encourage children to identify the noun they are finding a fraction of. Is it the apples or bananas, the pandas with hats on or without. From there, they can then go on to identify the part they are being asked to find e.g. the bananas in the bowl.

Keywords

Denominator - A denominator is the bottom number written in a fraction.
Numerator - A numerator is the top number written in a fraction.