Myths about teaching can hold you back
- Year 5
Multiply a whole number by a proper fraction
I can multiply a whole number by a proper fraction
- Year 5
Multiply a whole number by a proper fraction
I can multiply a whole number by a proper fraction
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.
To help you plan your year 5 maths lesson on: Multiply a whole number by a proper fraction, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 5 maths lesson on: Multiply a whole number by a proper fraction, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Find unit and non-unit fractions of whole numbers exploring parts and wholes unit, dive into the full primary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.To find a unit fraction of an amount, you can:
Q2.The word ‘of’ can be replaced with which mathematical symbol?
Q3.Tick all the examples here which are factors of 24
Q4.Tick the equations that represent this image.

Q5.One- fifth of 15 is equal to

Q6.Look at the image. 100 has been made __________.

Assessment exit quiz
6 Questions
Q1.When you multiply a whole number by a non-unit fraction, the whole number becomes .
Q2.Fill in the missing word or symbol. $$ \frac{1}{5} $$ ________ 20 = 4
Q3.Tick the equations that represent this image.

Q4.Tick the statements that are true.

Q5.Tick the bar model that best represents this equation: $$ \frac{3}{4} $$ × 20 = 15



Q6.Write in the missing number for this equation.
