Use knowledge of equivalence when scaling factors to solve problems
I can solve problems using equivalence by scaling factors.
Use knowledge of equivalence when scaling factors to solve problems
I can solve problems using equivalence by scaling factors.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- When one factor is scaled and the other is scaled down by the same amount, the product remains the same.
- Scaling one factor up and the other down by the same amount maintains equivalence.
- Factorising means describing a product using factors that multiply together.
Keywords
Equivalent - Equivalent means having the same value.
Factor - A factor is a number which exactly divides another whole number.
Product - The product is the result when two or more numbers are multiplied together.
Common misconception
Pupils may struggle to know what to add if just one of the factors changes.
Refer to 'lots of' when discussing calculations. For example, if pupils know that 3 × 84 = 252, then 3 × 85 must be 3 more. 3 × 84 is '84 lots of 3' and 3 × 85 is '85 lots of 3'
To help you plan your year 6 maths lesson on: Use knowledge of equivalence when scaling factors to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 6 maths lesson on: Use knowledge of equivalence when scaling factors to solve problems, 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 2 maths lessons from the Using equivalence to calculate 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
