Expressing one number as a fraction of another
I can express one number as a fraction of another.
Expressing one number as a fraction of another
I can express one number as a fraction of another.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- There exists a multiplier for any pair of values.
- The multiplier is more than just a scaling factor.
- The multiplier also expresses one number as a fraction of the other.
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.
Terminating decimal - A terminating decimal is one that has a finite number of digits after the decimal point.. E.g. 92.2, 193.3894, non-example: $$1.\\dot9$$.
Common misconception
Only see 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: Expressing one number as a fraction of another, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Expressing one number as a fraction of another, 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.
Equipment
Licence
Lesson video
Loading...
Starter quiz
6 Questions
3 -
$$1\over3$$
$$5\over2$$ -
$$2\over5$$
1.25 -
$$4\over5$$
$$5\over20$$ -
4
$$3 {1\over2}$$ -
$$2\over7$$
Exit quiz
6 Questions
6 × $$\square$$ = 4 -
$$2\over3$$
6 × $$\square$$ = 10 -
$$1 {{2} \over {3}}$$
$$\square$$ × 6 = $$3\over2$$ -
$$1\over4$$
6 × $$\square$$ = 15 -
2.5
$$\square$$ × 6 = $$18\over7$$ -
$$3\over7$$
112 is $$\square$$ of 392 -
$$2\over7$$
$$\square$$ of 445 is 178 -
$$2\over5$$
261 is $$\square$$ of 609 -
$$3\over7$$
$$\square$$ of 315 is 420 -
$$4\over3$$
1524 is $$\square$$ of 2032 -
$$3\over4$$