Triangular numbers anyone?
It wasn't 'till much later that I learned about triangular numbers and the 'Handshake Problem' but I most certainly remember experiencing my first triangular number. This gave me a great experience for the way math can teach us about growth and how deceptive our intuition can be without reasoned calculation.
One particular kenpo class our instructor had a great idea for sparring. Everyone lineup. The first student takes his turn:
-first student spars 2nd until 3 points are scored (everyone else do 10 pushups)
-regardless of winner 1st student spars 3rd student (drop & give me 10 everyone else)
-continue until the 1st student spars last student
Now the second student gets his turn.
Everyone gets a turn!
If memory serves there were 12 of us that day. Bonus question: How many sparring matches? How many push ups? At an average 3 minutes per sparring match (with 1 round of 10 pushups being completed sooner) how long were we there?