Dividing a whole number by a fraction
I can use the mathematical structures that underpin the division of fractions to divide a whole number by a fraction.
Dividing a whole number by a fraction
I can use the mathematical structures that underpin the division of fractions to divide a whole number by a fraction.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A diagram can help to show the underlying structure.
- The whole number can be split into a number of equal parts equal to the denominator.
- The numerator states how many equal parts are wanted.
- The value of each part is multiplied by the numerator.
Keywords
Proper fraction - A proper fraction is a fraction where the numerator is less than the denominator
Common misconception
Using the unitising method with a remainder, the remainder is not written as a fraction of the unit.
Drawing bar models, ensure that the unit is subdivided so the remainder can be seen as a fraction of the unit.
To help you plan your year 7 maths lesson on: Dividing a whole number by a fraction, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Dividing a whole number by a 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 3 maths lessons from the Arithmetic procedures with fractions 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
Exit quiz
6 Questions
$$ 6\div \frac{2}{5}$$ -
$$\frac{30}{5} \div \frac{2}{5}$$
$$ 4\div \frac{2}{5}$$ -
$$\frac{20}{5} \div \frac{2}{5}$$
$$ 10\div \frac{2}{5}$$ -
$$\frac{50}{5} \div \frac{2}{5}$$
$$ 5\div \frac{2}{5}$$ -
$$\frac{25}{5} \div \frac{2}{5}$$
$$4 \div \frac{3}{5}$$ -
$$6 {{2} \over {3}}$$
$$5 \div \frac{2}{3}$$ -
$$7{{1} \over {2}}$$
$$2 \div \frac{3}{5}$$ -
$$3 {{1} \over {3}}$$
$$1 \div \frac{2}{3}$$ -
$$1 {{1} \over {2}}$$