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Think Cool Mathematics

August22

James Tanton’s Math site has some great videos to help our growing mathematicians.

Here you will find some essays illustrating astounding tidbits of mathematical delight. And here are some purely visual puzzles to surprise. The true joy in mathematics, the true hook that compels mathematicians to devote their careers to the subject, comes from a sense of boundless wonder induced by the subject. There is transcendental beauty, there are deep and intriguing connections, there are surprises and rewards, and there is play and creativity. Mathematics has very little to do with crunching numbers. Mathematics is a landscape of ideas and wonders.

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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