Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Something in Common
Stage: 4 Challenge Level:
This idea uses the work on "tilted squares" in September 2004 but with a twist.
Vector dot product is useful but certainly not essential..
Extending the idea to what squares are and are not possible gives lots of opportunities for students who get through the 2D version very easily but at the same time develops a feel for 3D coordinate patterns.
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embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.