Multiply a whole number by a proper fraction

I can multiply a whole number by a proper fraction

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Year 5

Multiply a whole number by a proper fraction

I can multiply a whole number by a proper fraction

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Lesson details

Key learning points

The whole has been divided into __ equal parts and there are __ in each part.
Divide the whole number into equal parts by dividing by the denominator.
The numerator tells you how many of the equal parts you need.
To calculate a non-unit fraction you divide the number by the denominator and multiply by the numerator.

Keywords

Relationship - A relationship is a connection between two or more things.
Unit fraction - A unit fraction is a fraction that has a numerator of one.
Non-unit fraction - A non-unit fraction is a fraction that has a numerator greater than one.

Common misconception

Pupils struggle to identify how much the rod has been scaled by as they cannot visualise the fractional size of the new whole.

Encourage pupils to visualise how much the whole has shrunk by. Avoid pupils using the rods to immediately find out what size of the new whole, encourage pupils to visualise and estimate prior to checking with the rods.

If the pupils are yet to have used number rods, allow them time to explore the different relationships that the rods have between them. It is vital that pupils are given the opportunity to not only see the repeated addition structure, but also the idea of scaling.

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).