Solve problems involving comparing and ordering unit fractions in a range of contexts | Maths

Starter quiz

$What is the correct fraction for one of the skipping ropes in this whole?$

What is the correct fraction for one of the skipping ropes in this whole?

$\frac{1}{4}$ ✓

$\frac{1}{5}$

$\frac{1}{8}$
$Tick the fractions which are greater than one-fifth.$

Tick the fractions which are greater than one-fifth.

$\frac{1}{2}$ ✓

$\frac{1}{3}$ ✓

$\frac{1}{10}$

$\frac{1}{20}$
$What is fraction of the whole is the shaded part below?$

What is fraction of the whole is the shaded part below?

$\frac{1}{2}$

$\frac{1}{4}$ ✓

$\frac{1}{5}$

$\frac{1}{8}$
Select the correct symbol to make the statement correct.

< ✓

>

=
Select the correct symbol to make the statement correct.

< ✓

>

=
Which numbers could you use as a denominator to make this correct?

2

5

12 ✓

20 ✓

100 ✓

Exit quiz

$Three children ran round the track and wrote their distance as a fraction. Tick the person who won by running the furthest distance.$

Three children ran round the track and wrote their distance as a fraction. Tick the person who won by running the furthest distance.

Andeep $\frac{1}{5}$

Aisha $\frac{1}{3}$ ✓

Sofia $\frac{1}{4}$
Order the fractions beginning with the smallest.

1

⇔

$\frac{1}{8}$

2

⇔

$\frac{1}{4}$

3

⇔

$\frac{1}{2}$
Order the fractions beginning with the largest.

1

⇔

$\frac{1}{5}$

2

⇔

$\frac{1}{12}$

3

⇔

$\frac{1}{20}$
Order the fractions beginning with the smallest.

1

⇔

$\frac{1}{20}$

2

⇔

$\frac{1}{10}$

3

⇔

$\frac{1}{7}$

4

⇔

$\frac{1}{5}$
$Which of these unit fractions could go in the empty box?$

Which of these unit fractions could go in the empty box?

$\frac{1}{3}$ ✓

$\frac{1}{5}$ ✓

$\frac{1}{10}$

$\frac{1}{20}$
$Which of these unit fractions could go in the empty box?$

Which of these unit fractions could go in the empty box?

$\frac{1}{2}$

$\frac{1}{6}$ ✓

$\frac{1}{9}$ ✓

$\frac{1}{12}$

$\frac{1}{18}$

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

When comparing unit fractions, the greater the denominator, the smaller the fraction.
When comparing unit fractions, the smaller the denominator, the larger the fraction.
Equal parts may not look the same.

Common misconception

When looking at fraction notation, children might still be prone to considering the greater denominator to signify a greater fraction.

Get the whole class on board with reminding one another that the greater the denominator, the smaller the fraction. You can model this by making this mistake as you teach and the children can call you out on it - they will enjoy that!

Keywords

Whole - The whole is all of a group or number.
Part - A part is a section of the whole.
Denominator - A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.
Unit fraction - A unit fraction is a fraction where the numerator is 1