Myths about teaching can hold you back
- Year 7
Dividing a fraction by a fraction
I can use the mathematical structures that underpin the division of fractions to divide a fraction by a fraction.
- Year 7
Dividing a fraction by a fraction
I can use the mathematical structures that underpin the division of fractions to divide a fraction by a fraction.
Lesson details
Key learning points
- A diagram can help to show the underlying structure.
- Another method is the use the reciprocal of the dividing fraction.
- The reciprocal is the multiplicative inverse.
- The product of a number and its reciprocal is one.
Keywords
Reciprocal - A reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1
Common misconception
Numerators are divided and denominators are divided.
Emphasize the definition of division. "How many times does.... fit into it?"
To help you plan your year 7 maths lesson on: Dividing a fraction 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 fraction 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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Prior knowledge starter quiz
6 Questions
Q1.Using a bar model or otherwise, complete the statement $$ 6\div \frac{2}{5}$$ = .
Q2.Using a bar model or otherwise, complete the statement $$ 10\div \frac{2}{3}$$ = .
Q3.Without using a bar model, which calculation is the most efficient calculation to work out $$ 8\div \frac{2}{5}$$ ?
Q4.Using a model or otherwise, work out the answer for $$5 \div \frac{2}{7}$$.
Q5.Here is a bar model. Three of the Oak students think they know what the question was. Which student is correct?
Q6.Order the following from largest to smallest. Drawing bar models to find the mixed number may help.
Assessment exit quiz
6 Questions
Q1.A reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to __________
Q2.Match the value on the left with its reciprocal on the right.
$$\frac{2}{3}$$ -
$$\frac{3}{2}$$
$$\left(-\frac{2}{3}\right)$$ -
$$\left(-\frac{3}{2}\right)$$
2 -
$$\frac{1}{2}$$
$$\frac{12}{11}$$ -
$$\frac{11}{12}$$
$$\frac{1}{12}$$ -
12
Q3.Which of the following is the answer to $$\frac{3}{4} \div \frac{2}{5}$$?
Q4.Which of the following is the answer to $$\frac{2}{5} \div \frac{3}{7}$$?
Q5.Work out the missing length given the area.
Q6.Work out the missing length given the area.
