The Harmony Learning Community Blog

News, Updates, Program Recaps, and Homeschooling Information

OPEN Q’S #4: Total Stopping Time

(May 12, 2016) We spent almost the whole hour examining the “total stopping time” of sequences of Hailstone Numbers, those formed by the Collatz Conjecture.  (Pick a number.  If it’s even divide it by 2, if it’s odd triple it and add 1.)  Is there a starting number that doesn’t end up producing 1 as the final number of the…

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OPEN Q’S #3: Prime Numbers and Lines

(May 5, 2016)  We only had 4 kids today due to some illness going around.  I had a lot more to say about the Collatz Conjecture from last week, and the kids wanted to talk about it too.  But shouldn’t we wait until next week, when everyone who participated in this problem is back?  The kids who had something to…

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