My pair of numbers have a sum of 13 and product 42
I'm thinking of two numbers whose sum is 34 and product is 285
Which two numbers have a sum of 27.5 and a product of 189?

## A Mathematics Lesson Starter Of The Day

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• This activity is about far more than just getting the answers right. The strategy used for arriving at the solutions can vary depending on the techniques known to the pupils and what resources they have available. The teacher could decide that this is a mental exercise or could suggest that pen and paper, calculator or a computing device could be used. Do your pupils go for a trial and improvement method or are they able to create simultaneous equations? Would they use a graphical method using a GDC or would they produce tables of number pairs in a spreadsheet. Once strategies have been shared refresh this page for different numbers so that new strategies can be practised.

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

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Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.

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Transum.org/go/?to=Oblongs

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