Batch 2 - Class 04 - Light (1)

• Ask kids to doodle binary trees (Khan Academy Videos) to get a first hand feel or how fast this grows. Ask for volunteer first on basis of time bids, and then let them realize the magnitude of underestimation. Crashing binary trees -> Fractals. https://www.khanacademy.org/math/recreational-math/vi-hart/doodling-in-math/v/doodling-in-math-class--binary-trees 

• There are 1500 people sitting around a circular table. They are numbered in a regular manner (1 to 1500 along the table). Now, the 1st person gets a sword and kills the 2nd person. He then gives the sword to 3rd person, who then kills the 4th person and gives the sword to the 5th. This continues so that 1499th person kills the 1500th person and gives the sword back to 1st person. Now the 1st person kills the 3rd and gives the sword to 5th person. This process continues until only one person remains. Which person remains? (Answer: (1500-1024)*2+1= 953)

  Hint: Try first for 32 people

• Microwave chocolate burning exercise
• Absorption and reflection of light
• Seeing infrared light on cameraphone
• Reflection experiments using laser pointers
• Convex and Concave mirrors, and applications

  Homework: Place Eight queens on a chessboard, so that none of them can capture each other.
• Homework: Find the winning strategy for the following game. There are 15 coins in a row. Each player can pick 1, 2 or 3 adjacent coins in her turn. Note that two coins from between which a coins has been removed do not count as adjacent. Then the next player does the same, and so on. Does the first player have a winning strategy? If so, what is it?