Use repeated addition of a unit fraction to form 1 | Maths

Starter quiz

Which of these definitions describes a denominator?

The number of equal parts that have been shaded or selected.

The number of equal parts the whole has been divided into. ✓
Which of these definitions describes a numerator?

The number of equal parts that have been shaded or selected. ✓

The number of equal parts the whole has been divided into.
Which of these are unit fractions?

$\frac{3}{6}$

$\frac{1}{8}$ ✓

$\frac{1}{6}$ ✓

$\frac{2}{9}$
Which of these are non-unit fractions?

$\frac{3}{5}$ ✓

$\frac{2}{7}$ ✓

$\frac{1}{4}$

$\frac{1}{12}$
$What unit fraction is represented here by the shaded part?$

What unit fraction is represented here by the shaded part?

$\frac{3}{4}$

$\frac{1}{4}$ ✓

$\frac{1}{3}$

$\frac{1}{5}$
$What non-unit fraction is represented by the shaded parts here?$

What non-unit fraction is represented by the shaded parts here?

$\frac{3}{4}$

$\frac{1}{4}$

$\frac{2}{3}$

$\frac{2}{4}$ ✓

Exit quiz

$Look at the picture. Which equation below represents this non-unit fraction shown by the shaded green triangles?$

Look at the picture. Which equation below represents this non-unit fraction shown by the shaded green triangles?

$\frac{1}{3}$ + $\frac{1}{3}$ + $\frac{1}{3}$ = $\frac{3}{3}$

$\frac{3}{6}$ = $\frac{1}{6}$ + $\frac{1}{6}$ + $\frac{1}{6}$ ✓

$\frac{2}{6}$ = $\frac{3}{6}$ + $\frac{3}{6}$
$How would this whole be represented using fraction notation?$

How would this whole be represented using fraction notation?

$\frac{6}{6}$ ✓

$\frac{5}{5}$

$\frac{4}{4}$
$How can this whole be represented using fraction notation?$

How can this whole be represented using fraction notation?

$\frac{1}{4}$

$\frac{2}{4}$

$\frac{3}{4}$

$\frac{4}{4}$ ✓
True or false? When the numerator and denominator are the same, the fraction is equivalent to 1

True ✓
False
Select all the possible correct ends to this statement: When the denominator and numerator are the same value, __________.

the fraction is equivalent to one whole. ✓

the fraction is equivalent to 1 ✓

the fraction is equivalent to any non-unit fraction.
Tick the statements that are true about the fraction $\frac{5}{5}$

This fraction is equivalent to one whole. ✓

This fraction is less than 1

This fraction is equivalent to $\frac{4}{4}$ ✓

This fraction is equivalent to five one-fifths

Worksheet

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Lesson Details

Key learning points

When the numerator and denominator are the same, the fraction is equal to 1
Repeated addition of unit fractions forms a fraction equal to 1
A number line represents the repeated addition of unit fractions to total 1

Common misconception

When counting, children might think that 1 comes one step after the numerator and denominator are the same. For example, "...five-sevenths, six-sevenths, seven-sevenths, 1".

As the teacher, count in a given unit fraction and ask the children to stand up, wave or respond in some way when you get to the unit fraction that's equivalent to 1 (when the numerator and denominator are the same).

Keywords

Unit fraction - A unit fraction is a fraction where the numerator is 1
Non-unit fraction - A non-unit fraction is a fraction where the numerator is greater than 1
Denominator - A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.
Numerator - A numerator is the top number in a fraction. It shows how many parts we have.