Ideas for Next Year

It was a good week for finding inspiration on the internet (and in some books from the library). This is a grab bag of ideas for next year based on what I happened to read recently.

Jim Prop’s gam: Swine in a Line:

From a given starting position is there a move you can make so you’ll always win? There is a followup video.  

Brenford’s law  (first digits are mostly ones (logarithmic) Easy to collect data and observe.  See: https://en.wikipedia.org/wiki/Benford%27s_law

Problem Stream using the Trivial Inequality (Great for Whiteboard).

Start with the Trivial Inequality

Prove the AM-GM inequality as a demo.

Unit Fractions in Tessellations:

If you draw lines from the corners of a square to the centre of each edge, you can make rhombuses of area 1/5, 1/4, 1/3 pic.twitter.com/Cm9bGq82t6 — David Butler (@DavidKButlerUoA) June 23, 2017