Congrats on the D40! It is a great camera! Best buy out there for a DSLR. You can spend more, but for the money you can't get a better camera.
I've been shooting football games from the sidelines for four years with a Nikon D70, which is almost the same camera as the D40.
For shutter speed, you'll need to use a maximum of about 1/350. With the lighting at most high school stadiums, you won't likely be able to get enough light at this shutter speed with the "shooting modes".
You need to set:
ISO to 3200 (max)
Program mode to "S"
Shutter speed to 1/350 or maybe 1/500. The 'S' mode will keep the shutter speed where you set it and vary the aperature to control exposure, as best it can.
This will give you photos at most locations with the 18-55 that are a bit dark, and you'll need to adjust the lighting in whatever software you use. If this gets you photos that are acceptable at your location, you can stop here.
But if not, then you'll need to move to some more complicated "tricks".
I could describe some techniques, but Ken Rockwell has a good explanation of how to do this on his website (you also may find it useful for general photography hints).
http://www.kenrockwell.com/nikon/d5000/high-iso-comparison.htm#3200
And then look at where he talks about "pushing".
http://www.kenrockwell.com/tech/photoshop/pushing-iso.htm
Ken also talks about setting ISO to 6400, which can be done on this camera. You'll need to work with removing the grain (noise) afterwards, though.
If you're using the 18-55 and are happy with the zoom, then you could potentially switch to the straight 50mm f1.8 lens that Nikon sells for about $120. This won't autofocus on the D40, but the f1.8 will get you far better low light capability. The 50 is easy and fast to focus manually.
You could also go after the 80-200mm f2.8, which goes for about $800 new or $500 on ebay. Again, you'd have to manual focus, but the f2.8 will get you way more light into the camera.
If you post what you are using for lens and give a general idea of what you use for software, I can point you some other places that will show how to deal with noise and also lighten your exposure if you need to.
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