Solve problems involving multiplication of mixed numbers by a whole number
I can solve problems by multiplying fractions (proper and improper) and mixed numbers by a whole number.
Solve problems involving multiplication of mixed numbers by a whole number
I can solve problems by multiplying fractions (proper and improper) and mixed numbers by a whole number.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Partition the mixed number into a whole number and a fraction.
- Multiply the whole number part by the whole number factor.
- Multiply the fraction by the whole number using unitising language.
- Multiply the fraction by the whole number using unitising language.
Keywords
Represent - To represent something means to show something in a different way.
Estimate - We can estimate to find a value that is close enough to the right answer, usually with some thought or calculation involved.
Mixed number - A whole number and a fraction can be combined to form a mixed number.
Improper fraction - An improper fraction is a fraction where the numerator is greater than the denominator.
Common misconception
Pupils may underestimate the product for example where the fractional part, when multiplied by an integer bridges over a whole.
Encourage pupils to look at the size of the fraction each time and ask whether it will bridge a whole or not and add that onto the estimate of the whole number multiplied by the integer.
To help you plan your year 5 maths lesson on: Solve problems involving multiplication of mixed numbers by a whole number, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 5 maths lesson on: Solve problems involving multiplication of mixed numbers by a whole number, 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 Multiply improper fractions and mixed numbers by a whole number unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions


Exit quiz
6 Questions
