Explain why the product stays the same when one factor is doubled and the other is halved
I can explain why the product stays the same when one factor is doubled and the other is halved.
Explain why the product stays the same when one factor is doubled and the other is halved
I can explain why the product stays the same when one factor is doubled and the other is halved.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- When one factor is doubled and the other is halved, the product remains the same.
- Arrays can be rearranged to represent the product staying the same when one factor is doubled and the other halved.
- Doubling one factor and halving the other maintains equivalence.
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 of two or more numbers multiplied together.
Common misconception
Pupils may double or halve both factors, instead of doubling one and halving the other.
Spend time exploring arrays and the area models (from Cycle B of the lesson). Model these misconceptions, showing why they are incorrect (e.g. show how 4 x 8 cannot be equivalent to 8 x 16).
To help you plan your year 6 maths lesson on: Explain why the product stays the same when one factor is doubled and the other is halved, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 6 maths lesson on: Explain why the product stays the same when one factor is doubled and the other is halved, 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.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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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
Starter quiz
6 Questions

Exit quiz
6 Questions
