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Year 5

Represent and multiply an improper fraction by a whole number.

I can represent multiplication of an improper fraction using multiplication and repeated addition.

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New
New
Year 5

Represent and multiply an improper fraction by a whole number.

I can represent multiplication of an improper fraction using multiplication and repeated addition.

Download all resources
arrow-right
Share activities with pupils
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Lesson details

Key learning points

  1. Multiplication can be represented as repeated addition
  2. Multiplication can be represented as scaling
  3. Use the language of unitising '__ groups of __ is equal to __'

Keywords

  • Repeated addition - Repeated addition is the process of adding the same equal group to itself multiple times.

  • Improper fraction - An improper fraction is a fraction where the numerator is greater than the denominator.

  • Represent - To represent something is to show it in a different way.

Common misconception

Pupil may multiply both the numerator and the denominator by the integer therefore finding an equivalent fraction.

Encourage pupils to represent the maths using unitised counters as this will support them to recognise the multiplicand and the multiplier.

Ensure pupils build on their understanding of multiplying a non-unit fraction by an integer, applying the same generalisation where the numerator can be multiplied by the integer and the denominator stays the same. It is important pupil's realise they can apply this to improper fractions.
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).

Lesson video

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Starter quiz

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6 Questions

Q1.
Tick the expressions that could represent this expression: 4 + 4 + 4
Correct answer: 4 × 3
4 + 3
Correct answer: 3 × 4
3 + 4
Q2.
Tick the expressions that could represent this image.
An image in a quiz
3 × 3
Correct answer: 3 + 3 + 3 + 3
Correct answer: 3 × 4
4 + 3 + 3
Correct answer: 4 × 3
Q3.
Tick the improper fractions.
$$ \frac{7}{8} $$
$$ \frac{9}{9} $$
Correct answer: $$ \frac{12}{6} $$
Correct answer: $$ \frac{5}{2} $$
Q4.
Tick the expressions that could represent this expression.
An image in a quiz
Correct answer: 4 × $$ \frac{1}{8} $$
Correct answer: $$ \frac{1}{8} $$ × 4
$$ \frac{4}{8} $$ × 1
$$ \frac{1}{4} $$ × 8
Q5.
Write in the missing numerator.
An image in a quiz
Correct Answer: 4, four
Q6.
Write in the missing numerator.
An image in a quiz
Correct Answer: 2, two

Exit quiz

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6 Questions

Q1.
What does the image represent?
An image in a quiz
Correct answer: $$ \frac{7}{4} $$ + $$ \frac{7}{4} $$
$$ \frac{7}{4} $$ + 2
2 + $$ \frac{7}{4} $$
Q2.
Tick the counters that represents this image.
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
Tick the counters that represents this expression. $$ \frac{7}{3} $$ + $$ \frac{7}{3} $$
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q4.
Tick the images that represent this expression. $$ \frac{8}{5} $$ × 3
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q5.
Write in the missing numerator.
An image in a quiz
Correct Answer: 24, twenty four
Q6.
Tick the correct product.
An image in a quiz
$$ \frac{9}{30} $$
Correct answer: $$ \frac{45}{6} $$
$$ \frac{45}{30} $$
$$ \frac{56}{9} $$
$$ \frac{14}{11} $$