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- Year 7
Checking understanding of multiplicative relationships
I can use proportionality as a comparison rather than just absolute values.
- Year 7
Checking understanding of multiplicative relationships
I can use proportionality as a comparison rather than just absolute values.
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Lesson details
Key learning points
- A smaller percentage of one number can be greater than a larger percentage of a different number.
- Proportionality offers another way to compare values.
- One way, in isolation, does not give a full picture.
Keywords
Proportionality - Variables are in proportion if they have a constant multiplicative relationship.
Common misconception
Pupils 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: Checking understanding of multiplicative relationships, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Checking understanding of multiplicative relationships, 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.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1. is a part to whole (sometimes part to part) comparison.
Q2.10% of 500 is .
Q3.10% of 800 is
Q4.10% of £45 is £
Q5.Starting with largest, put these percentage calculations in descending order.
Q6.Starting with the largest, put these percentage calculations in descending order.
Assessment exit quiz
6 Questions
Q1.Select the different ways in which proportions can be represented.
Q2.What is 300 % of 0? .
Q3.Match each proportion with the correct statement.
$$\frac{7}{10}$$ were correct -
In test A, Laura gest 14 out of 20 correct
$$\frac{1}{2}$$ were correct -
In Test B, Sofia gets 35 out of 70 correct.
$$\frac{4}{5}$$ were correct -
In Test C, Jacob go 4 out of 5 correct.
$$\frac{13}{25}$$ were correct -
In Test D, Lucas got 104 out of 200 correct.
Q4.An Oak teacher is paid £4000 per month and gets a 15% pay rise. A part time Oak teacher gets £800 per month and receives a £96 pay rise. Are the pay rises the same? Select the correct statement.
Q5.Match each description to the correct statement.
A receives more than B -
A receives 10% of £80 and B receives 50% of £14
B receives more than A -
A receives 35% of £90 and B receives 30% of £120
A receives the same as B -
A receives 15% of £400 and B receives 80% of £75
Not enough information -
A receives 85% and B receives 90%
Q6.A 10% reduction of a 20% reduction of £200 is £ .