Planet Numpair

My pair of numbers have a sum of 8 and product 15
I'm thinking of two numbers whose sum is 39 and product is 338
Which two numbers have a sum of 14.5 and a product of 51?

A Mathematics Lesson Starter Of The Day


Share

Topics: Starter | Algebra | Arithmetic | Simultaneous Equations

  • Transum,
  •  
  • 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.
Click here to enter your comments.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.0 out of 5 based on 112 votes.


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

 

Answers



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.



Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

Online Maths Shop

Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=August3

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

Transum.org/go/?to=Oblongs

Student Activity

 


Apple

©1997-2017 WWW.TRANSUM.ORG