Identifying equal parts in a whole in different contexts | Maths

Starter quiz

$What is the denominator of the fraction shaded?$

What is the denominator of the fraction shaded?

'6' ✓
$What is the numerator of the fraction shaded?$

What is the numerator of the fraction shaded?

'5' ✓
$What fraction of the shape is shaded?$

What fraction of the shape is shaded?

$\frac{4}{8}$

$\frac{4}{7}$ ✓

$\frac{3}{6}$
$What fraction of the shape is shaded?$

What fraction of the shape is shaded?

$\frac{3}{6}$ ✓

$\frac{1}{4}$

$\frac{2}{5}$
$Jacob shades <Math> \frac{5}{8} </Math> of the stars. How many stars are left unshaded?$

Jacob shades $\frac{5}{8}$ of the stars. How many stars are left unshaded?

$\frac{3}{6}$

$\frac{4}{8}$

$\frac{3}{8}$ ✓

$\frac{3}{5}$
$Sofia shades <Math> \frac{5}{9} </Math> of the shape yellow and <Math> \frac{2}{9} </Math> green. The rest she shades red. How many parts does she shade red?$

Sofia shades $\frac{5}{9}$ of the shape yellow and $\frac{2}{9}$ green. The rest she shades red. How many parts does she shade red?

1

2 ✓

3

Which of these sentences is correct?

four-eighths are shaded

five-ninths are shaded ✓

the parts ae unequal
Which of these sentences is correct?

four-sevenths are shaded ✓

three-quarters are shaded

the parts are unequal
Which of these statements are true?

There are eight equal parts

Five parts have been shaded

$\frac{6}{10}$ is shaded ✓

One part represents one-tenth ✓
$What fraction of frogs are on the lily pad?$

What fraction of frogs are on the lily pad?

$\frac{6}{7}$

$\frac{5}{8}$

$\frac{6}{10}$

$\frac{5}{7}$ ✓
$True of false? <Math> \frac{4}{7} </Math> of the shape is shaded.$

True of false? $\frac{4}{7}$ of the shape is shaded.

True
False ✓
$Jacob works out the fraction of shapes that have an odd number of sides. What would the numerator of his fraction be?$

Jacob works out the fraction of shapes that have an odd number of sides. What would the numerator of his fraction be?

'4' ✓

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A non-unit fraction labels more than one out of the number of equal parts in the whole.
A fraction is made from equal parts of the whole.
Parts can be different shapes and still be the same size.
When counting different objects that make a whole, the objects can be of unequal size.

Pupils may find the concept of different shapes (and sizes, for number of objects) a little confusing.

Show pupils images where parts are different shapes (area fractions - parts of a whole shape) but can easily be seen to be the same size.