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Year 3

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

I can solve problems involving comparing and ordering unit fractions in a range of contexts.

Download all resources
Share activities with pupils
New
New
Year 3

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

I can solve problems involving comparing and ordering unit fractions in a range of contexts.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. When comparing unit fractions, the greater the denominator, the smaller the fraction.
  2. When comparing unit fractions, the smaller the denominator, the larger the fraction.
  3. 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

Children struggling with fraction grids can be scaffolded by using a smaller 2 x 2 grid to support their understanding. For those who grasp the concept more quickly, grids can be extended to 4 x 4
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Video

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Starter quiz

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6 Questions

Q1.
What is the correct fraction for one of the skipping ropes in this whole?
An image in a quiz
Correct answer: $$ \frac{1}{4} $$
$$ \frac{1}{5} $$
$$ \frac{1}{8} $$
Q2.
Tick the fractions which are greater than one-fifth.
An image in a quiz
Correct answer: $$ \frac{1}{2} $$
Correct answer: $$ \frac{1}{3} $$
$$ \frac{1}{10} $$
$$ \frac{1}{20} $$
Q3.
What is fraction of the whole is the shaded part below?
An image in a quiz
$$ \frac{1}{2} $$
Correct answer: $$ \frac{1}{4} $$
$$ \frac{1}{5} $$
$$ \frac{1}{8} $$
Q4.
Select the correct symbol to make the statement correct.
An image in a quiz
Correct answer: <
>
=
Q5.
Select the correct symbol to make the statement correct.
An image in a quiz
Correct answer: <
>
=
Q6.
Which numbers could you use as a denominator to make this correct?
An image in a quiz
2
5
Correct answer: 12
Correct answer: 20
Correct answer: 100

Exit quiz

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6 Questions

Q1.
Three children ran round the track and wrote their distance as a fraction. Tick the person who won by running the furthest distance.
An image in a quiz
Andeep $$ \frac{1}{5} $$
Correct answer: Aisha $$ \frac{1}{3} $$
Sofia $$ \frac{1}{4} $$
Q2.
Order the fractions beginning with the smallest.
1 - $$ \frac{1}{8} $$
2 - $$ \frac{1}{4} $$
3 - $$ \frac{1}{2} $$
Q3.
Order the fractions beginning with the largest.
1 - $$ \frac{1}{5} $$
2 - $$ \frac{1}{12} $$
3 - $$ \frac{1}{20} $$
Q4.
Order the fractions beginning with the smallest.
1 - $$ \frac{1}{20} $$
2 - $$ \frac{1}{10} $$
3 - $$ \frac{1}{7} $$
4 - $$ \frac{1}{5} $$
Q5.
Which of these unit fractions could go in the empty box?
An image in a quiz
Correct answer: $$ \frac{1}{3} $$
Correct answer: $$ \frac{1}{5} $$
$$ \frac{1}{10} $$
$$ \frac{1}{20} $$
Q6.
Which of these unit fractions could go in the empty box?
An image in a quiz
$$ \frac{1}{2} $$
Correct answer: $$ \frac{1}{6} $$
Correct answer: $$ \frac{1}{9} $$
$$ \frac{1}{12} $$
$$ \frac{1}{18} $$