Planet Numpair

My pair of numbers have a sum of 17 and product 66
I'm thinking of two numbers whose sum is 23 and product is 132
Which two numbers have a sum of 15.5 and a product of 60?

A Mathematics Lesson Starter Of The Day


Topics: Starter | Algebra | Arithmetic | Simultaneous Equations

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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.

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Previous Day | This starter is for 3 August | Next Day

 

Answers

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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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Laptops In Lessons

Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

Transum.org/go/?Start=August3

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=Oblongs

Student Activity

 


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