Yesterday we found a neat problem in the 1991 AJHME (now the AMC 8). It was problem 25:
I thought that talking through the problem would make a great evening math conversation last night, so we dove in. It turned out to be a great conversation about several topics:
(ii) arithmetic (including intuition about even and odd numbers),
(iv) geometric series, and
I think that talking about this problem is a fantastic exercise for kids – so many great ideas are lurking just below the surface! Here’s our 15 minute conversation:
As I said above – a fun conversation and a great problem!