(02/05/96)
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MathMagic Cycle 20: Level 7-9 Regular
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Primitive* Pythagorean Triplets
a b c Based on the Pythagorean theorem (a^2+b^2=c^2) the
----- ----- ----- table at the left has been developed.
3 4 5
5 12 13 Working with your team and NTPs, try to come up
7 24 25 with at least EIGHT questions, observations or
8 15 17 hypothesis based on the data, that perhaps would
9 40 41 be valid if more elements were added to the table.
12 35 37 Example: All c's seem to fit a 4n+1 pattern.
(*) When a, b and c are relatively prime (they have no factor in common
other than 1) the Pythagorean Triplets are said to be Primitive
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MathMagic Cycle 20: Level 7-9 Advanced
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Pascal's Triangle is an expansion that has many
1 mathematical applications.
1 1
1 2 1 Work with your team and your NTP to "present" three
1 3 3 1 of them. Your research and exchanges should lead you
1 4 6 4 1 to discover at least one use that may be labeled
1 5 10 10 5 1 bizarre (or at least "really weird")
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Good luck
MrH