New
New
Year 3

Explain that non-unit fractions are made of more than one unit fraction

I can explain that non-unit fractions are made of more than one unit fraction.

New
New
Year 3

Explain that non-unit fractions are made of more than one unit fraction

I can explain that non-unit fractions are made of more than one unit fraction.

Lesson details

Key learning points

  1. A non-unit fraction has a numerator greater than 1; it is composed of more than one unit fraction.
  2. We say, 'the whole has been divided into ___ equal parts, and I have ___ of them'.
  3. Dual language of 'five-sixths' and 'five one-sixths' can be used to describe non-unit fractions.
  4. When describing a fraction of the whole, the whole could be a shape, a line or a group of objects.

Common misconception

Pupils may not recognise the total number of equal parts that make up the whole and may instead just count the number they have / are shaded for example.

Encourage pupils to count the total number of equal parts that make up the whole and then the number that are shaded. Stress that the denominator shows the number of equal parts that make up the whole and that the numerator shows the number we have.

Keywords

  • Non-unit fraction - A non-unit fraction has a numerator greater than 1

Pupils make the link between unit and non-unit fractions, understanding, for example, that seven one-tenths are equal to seven tenths. Pupils should explore this with area, linear and quantity models. One-tenth is a division commonly used in measurements and is worth exploring in context further.
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).

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6 Questions

Q1.
How many parts has the shape been divided into?
An image in a quiz
2
4
Correct answer: 6
8
Q2.
Sofia shades half of this shape. How many parts would she need to shade?
An image in a quiz
2
Correct answer: 4
6
8
Q3.
What fraction is represented?
An image in a quiz
one-quarter
Correct answer: one-third
one-fifth
Q4.
Which image shows one-quarter?
a)
Correct answer: b)
Correct answer: c)
d)
Q5.
What fraction of the frogs are on the log?
An image in a quiz
one-third
one-quarter
Correct answer: one-fifth
one-sixth
Q6.
What fraction of the pandas are wearing hats?
An image in a quiz
one-third
one-quarter
one-fifth
Correct answer: one-sixth

6 Questions

Q1.
Which description is correct?
An image in a quiz
one-quarter is shaded
two-thirds are shaded
Correct answer: two-quarters are shaded
Correct answer: 2 one-quarters are shaded
Q2.
Which description is correct?
An image in a quiz
one-third is shaded
Correct answer: two-thirds are shaded
Correct answer: 2 one-thirds are shaded
2 one-quarters are shaded
Q3.
What fraction is of the shape is shaded?
An image in a quiz
two-thirds
2 one-thirds
Correct answer: 2 one-fifths
Correct answer: two-fifths
Q4.
What fraction of the shape is shaded?
An image in a quiz
four-quarters
one-sixth
two-sixths
Correct answer: four-sixths
Q5.
What fraction of the frogs are on the log?
An image in a quiz
four-sixths
Correct answer: two-sixths
two-fifths
two-quarters
Q6.
What fraction of the pandas are wearing hats?
An image in a quiz
three-quarters
Correct answer: three-eighths
three-sevenths
three-fifths