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NRICH-SUPPORT  February 2006

NRICH-SUPPORT February 2006

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Subject:

NRICH February Newsletter

From:

Liz Pumfrey <[log in to unmask]>

Reply-To:

[log in to unmask]

Date:

Thu, 2 Feb 2006 09:05:43 +0000

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Dear all,

The February edition of the NRICH website is now live at 
www.nrich.maths.org.  This month's site is bursting with a variety of rich 
and challenging problems all based on the mathematical theme of Ratio and 
Proportion.

Story books have been the inspiration for two of our problems, one of which 
your pupils are likely to be familiar with - Goldilocks and the Three 
Bears.  Try Once Upon a Time 
(<http://nrich.maths.org/public/viewer.php?obj_id=4783>) where all the 
Bears' possessions are in the same proportions as their heights. Just how 
deep is Baby Bear's bowl?

How strong do your class like their fruit drink?  Can they work out whose 
blackcurrant squash has the most blackcurrant flavour in Blackcurrantiest 
(<http://nrich.maths.org/public/viewer.php?obj_id=4784>)?  Food and drink 
seem to crop up quite a few times this month - perhaps Nutty Mixture 
(<http://nrich.maths.org/public/viewer.php?obj_id=4788>) or Cereal Mix 
(<http://nrich.maths.org/public/viewer.php?obj_id=4792>) will tickle your 
students' taste buds?

Somewhat in contrast to food, three problems this month have paint in 
common. Mixing More Paints 
(<http://nrich.maths.org/public/viewer.php?obj_id=4794>) follows on from 
Mixing Paints (<http://nrich.maths.org/public/viewer.php?obj_id=4793>) 
which asks pupils to produce pink paint containing red and white in certain 
ratios.  If they are keen on decorating, they might like to try Tin Tight 
(<http://nrich.maths.org/public/viewer.php?obj_id=4797>) - this time they 
need to investigate the most efficient dimensions for a tin of paint.  Or, 
for something completely different, can your students explore the angle 
that a billiard ball must be struck at for it to return to its starting 
position in Orbiting Billiard Balls 
(<http://nrich.maths.org/public/viewer.php?obj_id=4798>)?

At the highest level, the problems all focus on fractals.  Your class can 
find out more about the Sierpinski triangle, which is the limit of a series 
of triangular shapes, in the Sierpinski Triangle problem 
(<http://nrich.maths.org/public/viewer.php?obj_id=4757>). It invites them 
to work towards finding the total area of the triangles which have been 
removed.

There are several extras on the site this month, Ratio Pairs 2 
(<http://nrich.maths.org/public/viewer.php?obj_id=4824>) and Ratio Pairs 3 
(<http://nrich.maths.org/public/viewer.php?obj_id=4821>), where you must 
match cards representing equivalent ratios, and a different slant on Su 
Doku, Intersection Su Doku 
(<http://nrich.maths.org/public/viewer.php?obj_id=4812>).  Are your 
students up for the challenge?

Please don't forget to persuade pupils to keep their solutions coming in. 
They might see their names on the site next month!

With best wishes from The NRICH Team.

Liz Pumfrey
NRICH Primary Teacher Research Associate
University of Cambridge Centre for Mathematical Sciences
Wilberforce Road
Cambridge
CB3 0WA
01223 764246
www.nrich.maths.org

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