October 27

• Warmup:
• $x^5=2; y^8=3$. Which is greater, $x$ or $y$?
• Turning coins around each other
• Ball jumping, first jump 1/2 foot; each next jump 20% shorter. How far will it go?
• Pythagorean theorem. 
• How to find the diagonal of a brick?
• Back to residues: build tables for mod $5,6,7,8$. 
• No zeroes in the tables for what modules?
• What happens if we multiply rows?
• Game - bulls and cows...