How to record myself playing guitar and film it?

K this question might sound confusing, I'll try and describe it as best I can.

For my History of Rock n' Roll class we're to do a final project and I was thinking of recording myself playing to about 10 or so songs through the decades.

I have a Nikon D3100 DSLR camera, a guitar, a Korg Tone Works AX100G guitar floorboard, a guitar amp, computer, USB mic, sound system (that I play my guitar through) and cords connecting all that.

I'm looking for the easiest possible way and clearest way for me to record myself playing along with songs (visual and audio). I have used a program called Audacity for recording myself making songs and whatnot. However I think if I do that it'd be imposible to match it up with the video.

Any help is greatly appreciated!

1--video is not film

2--why record yourself? Why not ask someone who is a videographer or photographer to do it for you so that you can concentrate on doing what you know how to do and they can do a better job of doing what they know how to do? More likely than not you can find someone you go to school with to help.

3--in order to sync the video with the audio, the audio has to run through the camera, which is not made to record professional quality audio and as far as i know only has a built-in mic and no other way to input audio. If you are going to make any edits to the video, you'll need video editing software, not simply audio editing software.

it's possible that you may be able to sync the audio and video by recording them separately but you'll have to test different frame rates in order to see what works with your set-up and is acceptable to you.