Myths about teaching can hold you back
- Year 7
Deepening understanding with fractions of a given amount
I can find the original amount when given a fraction and the result.
- Year 7
Deepening understanding with fractions of a given amount
I can find the original amount when given a fraction and the result.
Lesson details
Key learning points
- To find the original amount, the result is divided by the fraction.
- This can be seen visually through use of a bar model.
- A double number line can also be used.
Keywords
Reciprocal - The reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1
Common misconception
Only seeing the amount, not proportion. E.g £30 from £100 is no different to £30 from £60.
Referring to the whole using bar models or fractions can emphasise the amount with respect to the whole.
To help you plan your year 7 maths lesson on: Deepening understanding with fractions of a given amount, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Deepening understanding with fractions of a given amount, 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 Understanding multiplicative relationships: fractions and ratio 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.Which of the following is not the reciprocal of 3?
Q2.Use a bar model to calculate $$5\over8$$ of 32.
Q3.Calculate 45 × $$4\over5$$.
Q4.Which of the following are equivalent calculations for $$5\over6$$ of 66?
Q5.Calculate $$3 {{3} \over {4}}$$ × $$5\over6$$, give your answer in its simplest form.
Q6.Find $$11 {{3} \over {4}}$$ of 32.
Assessment exit quiz
6 Questions
Q1.Match the following to the correct reciprocal.
2 -
$$1\over2$$
$$3\over2$$ -
$$2\over3$$
2.5 -
$$2\over5$$
$$4\over5$$ -
1.25
$$6\over8$$ -
$$4\over3$$