Explore: Crossing a Rectangle (15 min)

What is the longest pathway along the lines of a grid you can create that starts at the top of a 5x8 grid and ends at the bottom without touching either of the sides?

Student materials for printing: https://drive.google.com/open?id=1Of_-nrsBZzOTeItj5ZkK16wRPSf5gwww

...or use the online applet below.

Examples

Allowed	Not Allowed

What is the longest pathway you can create in grids of other sizes? Design your different sized grids on the grid paper provided by your teacher.