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).
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
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