Myths about teaching can hold you back
- Year 6
Explain how to divide a unit fraction by a whole number
I can explain how to divide a unit fraction by a whole number.
- Year 6
Explain how to divide a unit fraction by a whole number
I can explain how to divide a unit fraction by a whole number.
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Lesson details
Key learning points
- The partitive structure means you can think of dividing a fraction by a whole number as sharing.
- If a unit fraction is divided by a whole number the quotient is smaller than the dividend so the denominator increases.
- Dividing a number by 2 is the same as finding half of the number and this can be applied to other fractions.
Keywords
Represent - To represent something means to show something in a different way.
Dividend - The dividend is what we are dividing.
Common misconception
Pupils change the division symbol to a multiplication symbol and then multiply the fraction by a whole number.
The act of dividing the fraction part is highlighted within the representations provided. Ensure pupils are given time to explore how the area model represents the division and encourage pupils to create their own examples.
To help you plan your year 6 maths lesson on: Explain how to divide a unit fraction by a whole number, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 6 maths lesson on: Explain how to divide a unit fraction 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 Multiplication and division of fractions unit, dive into the full primary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Which expressions could represent one-third of one-fifth?
Q2.Tick the equations that could represent this image.

Q3.To find the product of two unit fractions, you can _________.
Q4.Tick the product of $$ {1} \over {8}$$ × $$ {1} \over {2}$$
Q5.What is the missing denominator which would make this equation correct?

Q6.What could the missing digits be?

Assessment exit quiz
6 Questions
Q1.Tick the equivalent division equation for $$ {1} \over {5}$$ × $$ {1} \over {2}$$ = $$ {1} \over {10}$$
Q2.Use this equation to find the missing denominator: $$ {1} \over {2}$$ ÷ 6 = $$ {1} \over {12}$$

Q3.Tick the equivalent multiplication expression for $$ {1} \over {8}$$ ÷ 4 =
Q4.Tick the correct answer to the calculation: $$ {1} \over {2}$$ ÷ 7 =
Q5.Write down the missing denominator to make this equation correct.

Q6.Tick the possible pairs of numbers that would make this equation correct:
