My original flying instructor simply cut out a section of chart that extended about 50 miles on each side of our home base. As far as I know we nevr fell off the edge.
It worked for him
This being the quality of PPL instruction, we wonder why nearly all PPLs chuck flying in permanently within a year or two... they come out with a license which has close to zero utility value, and the fun value extends little beyond flying a local burger run.
It's true though; most PPL instructors have rarely ventured beyond the nearest crease in their chart.