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Episode 209: Double Trouble

Episode 209: Double Trouble

Math Topic Growth by Doubling
The Big Idea When something grows by doubling, it gets large surprisingly fast, growing ever faster the longer the doubling continues.
NCTM LinksAlgebra
Episode Description Out for revenge, Hacker invades Shangri-La and imprisons Master Pi. The kids and Digit arrive as Hacker searches for the Good Vibration - the source of peace and happiness on the cybersite. Trouble doubles with unexpected results for the kids as well as Hacker, Buzz and Delete. Will the good vibrations continue, or will Hacker turn Shangri La into Shangri Blah?
- Kid Synopsis
For RealHarry Goes Against the Grain
Harry wants to bet that he will win a chess game. His opponent -- a boy he’s babsitting - refuses to gamble. But the boy asks Harry which amount hypothetically he would wager: five dollars, or a bunch of pennies - one on the first square of the chessboard, then double the number of pennies from square to square. When Harry says he’d bet dollars rather than pennies, the boy tells him “The Legend of the Grain of Rice.” In the story the king (played by Harry) forces a peasant (played by the boy) to accept a reward for a good deed he has done. The peasant requests a grain of rice on the first square of the chessboard, two grains on the next, and for each of the remaining squares, twice the number of grains on the square before it. Ultimately, the king owes the peasant 549,755,830,887 tons of rice. That’s enough to cover the surface of the earth twice!
Math message: Something that grows by doubling gets large surprisingly fast.
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Online Games Double the Donuts
In this interactive story, a dragon finds a donut that can double as many times as you ask it to. The story takes the doubling through 20 iterations, by which point the dragon is practically engulfed in a mountain of donuts.


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