Jordan Sloan posted a fine idea on the TES during the World Cup 2014
(I found it thanks to the very welcome help of Craig Barton on his site)
here is a version of Jordon's task, intentionally not giving any original price
Sunday, 23 November 2014
Saturday, 22 November 2014
- work on patterns in various sums
- reach a conjecture about how the patterns can be generalised
- prove this using (a) diagrams (b) algebra
what do the diagrams show?
Wednesday, 19 November 2014
Saturday, 8 November 2014
Erich Friedman's weight puzzles are great...
place weights 1 to 5 so that this mobile balnces
Tuesday, 4 November 2014
Saturday, 1 November 2014
in good mathematical fashion you say that the weights of the bars and the string are negligible compared with the hanging weights...
(moments are ignored by having the bars suspended at their mid-points)
good practice in doubling and halving to start with:
then an introduction of some algebraic expressions:
Sunday, 19 October 2014
problem number 8 of book 1 of Diophantus' Arithmetica (~ 200 CE) asks which number must be added to 100 and to 20 (the same number) so that the sums are in the ratio 3 : 1 these questions are in the same vein