(02/05/96)

*************************************

MathMagic Cycle 20: Level 7-9 Regular 

*************************************

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

 

**************************************

MathMagic Cycle 20: Level 7-9 Advanced 

************************************** 

                    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")
                
============================
Good luck 
MrH