Possibly the most widely recognized and loved cello piece in the world, the Prelude from Bach's Suite for Violoncello No. 1 is presented here for you to learn and record. I have not included any bowings since there are many ways that people bow this piece. Try several different bowings and see which you like the best.
One of the most important techniques to work on in this piece is string crossing. You must cross strings cleanly and precisely. One tip for practicing this is to play on the correct string, but don't use the left hand at all. This way you can focus on the bowing technique and how it is grabbing each string as you cross without being distracted by the notes and your intonation. Also, when playing back and forth on two strings multiple times, make sure you practice staying very close to the string that you are not playing at the moment. For example, if you are playing on the D and A strings one after another, stay close to the A string when you are on the D and stay close to the D when on the A.
You may also find that you have to work a bit harder than normal to arch the fingers high and play on the tips so that you can play on a higher string while leaving fingers down on the lower string. This technique is critical in this piece due to the nearly constant string crossing. Leaving fingers down while playing other strings will save a huge effort.