The strat: The important thing to know is the point value of the dots and how many sections they add onto the snake.
The point value of each decreases with time, so up until about 11000 pts or so, don't get a dot if possible unless it's close by, maybe within 3 seconds. You want to get the red dots when they're around 90 pts or greater and the dark blue dots when they're around 180 pts or greater. Try to avoid the light blue dots since their point value is disproportionate to their added number of sections.
So until about 7000 pts just meander around getting dots when they spawn close by. After that, start guiding the snake in a loose back and forth pattern. I prefer going up and down and continuing this from left to right.
At about 11000 pts, tighten up the pattern so there's a minimum gap between the snake's sides. Just continue this pattern until you die. 16000+ points should not be too difficult using this method.
Red dots start out at 100 pts and add 4 sections to the snake.
Dark blue dots start out at 200 pts and add 8 sections to the snake.
Light blue dots start out at 400 pts and add 20 sections to the snake.