I am from Australia, so we are a little different, but I thought I might answer anyway as many are interested in making comparisons between gymnastics in different parts of the world.
I wasnt sure if you meant to move up to that level or out of it, so I put to move up to it
To move up to Level 4
- Vault - Handspring flat back vault - over vault table with mats stacked to the same height as the table. Vault set between 1-5.
- Bars - 2 glide swings, cast to horizontal, squat on low bar jump to high bar, back hip circle, long hang pullover, tap swings, toe shoot or underswing dismount from high bar.
- Beam - Full handstand, 2 180 degree turns in a row on 1 foot, 135 degree split leap, 135 degree split jump
- Floor - Round off, cartwheel-cartwheel, back walkover, backward roll with straight arms to front support, 180 degree split leaps, full turn on 1 foot, jump full turn.
- Trampoline - back handspring on tramp, front tuck on tramp.
- Strength & Flex - 180 split leap on floor, 135 dregree split leap on beam, 135 degree split jump on beam.
- Dance - as above 180 degree split leap on floor, jump full turn, full turn on 1 foot.
- Other - nil
To move up to Level 5
- Vault - Frront handspring vault with table set between 2-5
- Bars - Glide kip, long hand kip, cast to 45 degree's above horizontal
- Beam - Handstand held 2 secs, cartwheel or walkover, full turn on 1 foot. Dance series with 2 (FIG) A value dance skills one with a 180 split (ie split leap, split jump, straddle jump, pike jump, wolf jump, tuck half). Front tuck dismount
- Floor - Round off back handspring, front handspring, back extention roll to handstand, A value leap thats not a spolit leap (either side leap, cat leap full)
- Trampoline - Back tucks
- Strength & Flex - 180 split leap on beam and floor
- Dance - 180 split leap on beam and floor, wolf jump on beam, side leap on floor also 180
- Other - Passed level 4
To move up to Level 6
- Vault - front handspring withh table on 4 or 5
- Bars - clear hip circle, kip connected to cast to 45 degree's above horizontal
- Beam - saulto dismount
- Floor - round off back handspring back tuc, front handspring front tuck
- Trampoline - Front asd back layouts
- Strength & Flex - 180 degree split leaps and jumps on floor and beam
- Dance - A value jump on floor (FIG code - wold 1/2, straddle jump, schuischunova etc)
- Other - Passed level 5