Lens(es) for snowboarding photography

[snowlord]

Hi all,
I am brand new to photography and I am looking to become a photographer. I'm going to major in photography so I thought it would be wise to purchase a camera and a variety of lenses. I have ordered a Nikon D5100, asking around it seemed like the best choice. I am an avid snowboarder and I love the photography that it can entail. I'm really don't know at all what kind of lenses would be the best. I am looking to get two of them. If you can suggest some, that are under 300$ a piece that would be great.

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[snowlord]

Looking at a 10-20 sigma, doing a lot of rails and jibs, so close shots. As well as jumps, few hundred feet away. Going to buy a 70-300 something. Just don't know exactly what yet.