Multiply a proper fraction by a whole number where the product is greater than a whole
I can multiply a proper fraction by a whole number where the product is greater than a whole.
Multiply a proper fraction by a whole number where the product is greater than a whole
I can multiply a proper fraction by a whole number where the product is greater than a whole.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- If 3 groups of 4 are equal to 12 then 3 groups of 4 fifths are equal to 12 fifths.
- If the product is an improper fraction you can convert it to a mixed number.
- The numerator of the fraction is multiplied by the whole number and the denominator remains the same.
Keywords
Represent - To represent something is to show it in a different way.
Unitise - Unitising means treating groups that contain or represent the same number of things as units or ones.
Mixed number - A number which combines both a whole number and a fraction.
Numerator - A numerator is the top number in a fraction. It shows how many parts we have.
Denominator - A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.
Common misconception
Pupils resort to a procedure with little understanding for how we convert between improper fractions and mixed numbers.
Encourage pupils to make connections between improper fractions and mixed numbers using both area models and number lines. Focus on reasoning by manipulating parts to complete wholes and where the wholes and parts are represented on the number line.
To help you plan your year 5 maths lesson on: Multiply a proper fraction by a whole number where the product is greater than a whole, 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 proper fraction by a whole number where the product is greater than a whole, 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 a proper fraction by a whole number unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
$$ \frac{1}{4} $$ × 3 = -
$$ \frac{3}{4} $$
$$ \frac{1}{6} $$ × 2 = -
$$ \frac{2}{6} $$
$$ \frac{1}{6} $$ × 4 = -
$$ \frac{4}{6} $$
$$ \frac{1}{4} $$ × 2 = -
$$ \frac{2}{4} $$
Exit quiz
6 Questions
