To get a copy of all the elements requirements for Level's 1 - 6, please go to this URL:
http://www. usa-gymnastics. org/women/2003/2005-2013finalelements. pdf
This is a PDF file which lists all the skills and requirements for the current USAG JO compulsory routines.
Level 3 gymnastics requirements are skills in different types of beam, bars, diving, floor dance hip twisting, cartwheel, etc. Steadyness while doing each item and perfection in steps are required.