Dear all,
The September NRICH site is now live at http://nrich.maths.org This
month the problems, articles and games have been inspired by workshops
attended by the team at maths conferences earlier this year. So,
although the resources do not all have a mathematical theme in common,
they are a rich and varied collection of mathematical delights!
Sort the Street
<http://nrich.maths.org/public/viewer.php?obj_id=5157&part=index> is a
wonderful open-ended challenge which asks you to arrange pictures of
houses into different groups and it just cannot be done silently! You
will also want to talk about Fraction Fascination
<http://nrich.maths.org/public/viewer.php?obj_id=5061&part=index> - can
you work out how the picture is made from the small square?
How about trying to solve the mystery of the Magic Potting Sheds
<http://nrich.maths.org/public/viewer.php?obj_id=4926&part=index> ? Use
the interactivity to investigate what happens to plants in these sheds
so that you can make the number of plants in each garden the same. You
might also like to try the More Magic Potting Sheds
<http://nrich.maths.org/public/viewer.php?obj_id=4927&part=index>
problem which takes this a bit further to introduce some generalisation.
Odd Stones
<http://nrich.maths.org/public/viewer.php?obj_id=5338&part=index> is an
intriguing problem which will get you hooked. Twenty-seven stones are
distributed between three circles and on a "move" a stone is removed
from two of the circles and placed in the third circle. Can you identify
the distribution where it is not possible to have some sequence of
"moves" that will turn it into any of the other distributions?
The idea of cycles of numbers is taken up again in Number Chains
<http://nrich.maths.org/public/viewer.php?obj_id=5431&part=index> , one
of the highest level problems. Find out what a "chaino" sequence is and
prove that, for all starting points, the numbers in the sequence quickly
reduce to numbers less than 45. You could investigate the sequence using
the Logo programme, which is given, or a spreadsheet. Also encouraging
the use of Logo, Spirostars
<http://nrich.maths.org/public/viewer.php?obj_id=5432&part=index>
invites you to explore the shapes you can draw using twenty line
segments of equal length drawn in a continuous path with equal angles
between consecutive line segments. This problem extends other NRICH
challenges, published in previous months, which present the same
mathematical system for investigation in different ways.
Finally, don't forget that the Plus New Writers' Award is still open for
entries until the 30th of September. Plus <http://plus.maths.org/> , the
sister site to NRICH, is inviting readers of all ages and backgrounds,
particularly secondary students, to submit articles on any mathematical
topic they find interesting and would like to share with the world. For
more details please see http://plus.maths.org/competition/
With best wishes from The NRICH Team
--
Liz Pumfrey
NRICH Primary Coordinator
University of Cambridge Centre for Mathematical Sciences
Wilberforce Road
Cambridge
CB3 0WA
01223 764246
www.nrich.maths.org
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