Number Investigations: Square and Triangular Numbers

As part of our investigation in number patterns students in SNC have been discovering the bizarre and sometimes (as Marlia described it) “Magic” properties of square and triangular numbers.

Before the investigation prompt was provided, students were given the opportunity to explore the properties associated with square numbers and share their findings with the rest of the group. Some of these findings were:

  • That the difference between consecutive square numbers is always an odd number and that difference always increases by two (Violet)  
  • Square numbers always end in a 0,1,4,5,6 or 9 (Nami)
  • If you add the consecutive numbers that are being multiplied you get the difference between the square numbers (Emily). 

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