median
don steward
mathematics teaching 10 ~ 16

Saturday, 1 March 2014

square number tasks

these tasks involve finding factors of the results to establish patterns
when patterns are found they can be checked
and, if possible, proved

find patterns when you:

(1) add the squares of two consecutive numbers and then subtract 1

(2) square any odd number, then subtract 1

(3) multiply two consecutive odd numbers and then add 1

(4) multiply two consecutive even numbers and then add 1

(5) square a number (even or odd) and subtract 4

(6) for any two digits
  • add them and then square
  • subtract them and then square
  • subtract these squares and divide by 4

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