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Oak National Academy
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New
New
Year 3

Place fractions between 0 and 1 on a number line

I can place fractions between 0 and 1 on a number line.

Download all resources
Share activities with pupils
New
New
Year 3

Place fractions between 0 and 1 on a number line

I can place fractions between 0 and 1 on a number line.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. A fraction is a number and has an exact position on a number line.
  2. Fractions can be ordered and positioned on a number line.
  3. Unit and non-unit proper fractions lie between 0 and 1 on a number line.
  4. In a proper fraction, the numerator is less than the denominator.

Common misconception

Pupils may make mistakes when using number lines to represent fractions, especially with bar representations that do not begin at zero.

Link teaching to measurement. When measuring the length of a object, the measurement needs to begin at zero.

Keywords

  • Proper fraction - In a proper fraction, the numerator is less than the denominator.

Pupils should be able to use fractions as an operator, for example, talking about one-third of a shape or three-fifths of a line. In this lesson, they will learn that fractions are also numbers as well as operators, for example, the number one-quarter sits between zero and one in the number system.
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.
Five-fifths is equal to…
one-half
one-quarter
Correct answer: one whole
Q2.
Which symbol would make this correct?
An image in a quiz
Correct answer: >
<
=
Q3.
What is the missing numerator?
An image in a quiz
Correct Answer: 9, nine
Q4.
What is the missing denominator?
An image in a quiz
Correct Answer: 3, three
Q5.
Which denominators could make this correct?
An image in a quiz
Correct answer: 8
Correct answer: 7
6
5
Q6.
Jacob uses an even number to make this correct. What number could he have used?
An image in a quiz
Correct answer: 2
3
Correct answer: 4
5

Exit quiz

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6 Questions

Q1.
What proper fraction is represented on the number line?
An image in a quiz
$$ \frac{7}{4} $$
$$ \frac{3}{7} $$
Correct answer: $$ \frac{4}{7} $$
$$ \frac{7}{7} $$
Q2.
What is the numerator of the fraction shown?
An image in a quiz
Correct Answer: 9, nine
Q3.
What fraction is represented on the number line?
An image in a quiz
$$ \frac{3}{7} $$
$$ \frac{2}{7} $$
Correct answer: $$ \frac{2}{5} $$
$$ \frac{2}{4} $$
Q4.
What fraction is represented on the number line?
An image in a quiz
$$ \frac{4}{7} $$
Correct answer: $$ \frac{4}{6} $$
$$ \frac{3}{6} $$
$$ \frac{1}{4} $$
Q5.
The arrow shows a number of one-eighths. What is the numerator of the fraction represented by the arrow?
An image in a quiz
Correct Answer: 6, six
Q6.
The arrow shows a number of one-elevenths. What is the numerator of the fraction represented by the arrow?
An image in a quiz
Correct Answer: 6, six