When using a number line, match it with another representation where possible in which the unit fractions aren't adjacent so children see that it is about the quantity of unit fractions rather than their position.

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.

Counting together is a great way of learning here. Call and response or turn taking can really help to deepen children's understanding.

Teacher tip

Licence

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Starter quiz

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6 Questions

Q1.

Which of these definitions describes a unit fraction?

Correct answer: The numerator is 1

The numerator is greater than 1

The numerator and the denominator are equal.

Q2.

Which of these definitions describes a non-unit fraction?

The numerator is 1

Correct answer: The numerator is greater than 1

The numerator and the denominator are equal.

Q3.

Which of these are unit fractions?

Correct answer: $$ \frac{1}{3} $$

Correct answer: $$ \frac{1}{4} $$

$$ \frac{3}{4} $$

$$ \frac{2}{5} $$

Q4.

Which of these are non-unit fractions?

Correct answer: $$ \frac{3}{4} $$

$$ \frac{1}{7} $$

$$ \frac{1}{4} $$

Correct answer: $$ \frac{6}{12} $$

Q5.

What unit fraction is represented here?

$$ \frac{5}{6} $$

$$ \frac{1}{7} $$

Correct answer: $$ \frac{1}{6} $$

$$ \frac{1}{5} $$

Q6.

What non-unit fraction is represented here?

Correct answer: $$ \frac{2}{6} $$

$$ \frac{2}{7} $$

$$ \frac{2}{5} $$

$$ \frac{1}{4} $$

Exit quiz

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6 Questions

Q1.

Look at the picture. What non-unit fraction is being represented by the green triangles here?

Correct answer: $$ \frac{3}{6} $$

$$ \frac{3}{7} $$

$$ \frac{3}{5} $$

$$ \frac{3}{4} $$

Q2.

Match the counting labels.

Correct Answer:one one-sixth ,one-sixth

one-sixth

Correct Answer:two one-sixths ,two-sixths

two-sixths

Correct Answer:three one-sixths,three-sixths

three-sixths

Q3.

What is missing from the counting label?

Correct answer: one-sixth

sixth

one-fifth

fifth

Q4.

What is the missing counting label here?

One more one-quarter

Another one-quarter

Correct answer: Two one-quarters

Q5.

Which repeated addition equations represent the non-unit fraction shown here?

Correct answer: $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$ = $$ \frac{2}{5} $$

$$ \frac{1}{6} $$ + $$ \frac{1}{6} $$ = $$ \frac{2}{6} $$

$$ \frac{1}{5} $$ + $$ \frac{1}{4} $$ = $$ \frac{2}{3} $$

$$ \frac{2}{5} $$ = $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$

Q6.

Which repeated addition equation represents the fraction of pandas wearing hats here?

$$ \frac{2}{3} $$ + $$ \frac{2}{3} $$ = $$ \frac{1}{3} $$

$$ \frac{1}{3} $$ + $$ \frac{2}{3} $$ = $$ \frac{2}{3} $$

$$ \frac{3}{1} $$ + $$ \frac{3}{1} $$ = $$ \frac{2}{3} $$

Correct answer: $$ \frac{1}{3} $$ + $$ \frac{1}{3} $$ = $$ \frac{2}{3} $$