median
don steward
mathematics teaching 10 ~ 16

Tuesday, 15 February 2011

maxprod

use the digits 1 to 5 once only

form a multiplication sum





in an attempt to find the largest product (result) that can be obtained

an intention is that students try out (on paper) one 4 by 1 digit multiplication and also one 3 by 2 digit multiplication

then they could use a calculator to speed up an exploration of other options - but this might miss out on an understanding of how the 'partial products' contribute



the various (close) options can be considered in an expanded form to see where there are advantages.

the largest is 22, 412 for the first five digits







larger (and smaller) versions of the task can also be explored:



(thanks to Colin Foster for his convenient collection)



and patterns/general formats explored:


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