The highest i can play is the E above the staff. Any tips on getting the G constantly or the super C.

The only way you can be a scream player is practice. (This is how i increased my range to double C and beyond, but many people have their own methods) I began by just lip buzzing, without the mouthpiece, for 15 minutes a day. I played scales two octave both loud and soft. Practicing excercises softly will make you a much better player and have an impact on range. If you dont already have these, get the Schlossburg, Arbarns, and clark studies books. Start piecing your way through those excercises especially the schlossburg. Practice lip slurs daily, and start increasing the interval jumps. Finally stand in front of your mirror, and watch your embouchure as you lip slur. Make sure that you are using only air, and that your embouchure is not changing. Building your lips, focus, air stream, and endurance will all come from doing these things daily. It will take time but you will find that your range will dramatically increase. Be patient and goodluck with everything!

but like soulfire said, never work on only range.

I agree, i have been trying to improve my range, so i practiced for like 30 min, just playing the highest notes i could, and then i tried playing a song, and i couldn't hit a low C! I am not joking, it could seriously screw up your lip muscles. if you are going to try to improve your range, make sure you balance it with lots of low notes, try scaling up a lot, then play some pedal notes.

I'm most likely much older than most who post on this forum, so I'm going to offer a little advice based on many years of experience (knowledge gained by experience = Wisdom).

Though to become an "good" trumpeter one has to learn (train one's embouchure) to play in the high register, just being able to hit high notes is no good unless it can be done with clarity, proper intonation, and volume control. I've watched a lot of trumpeters "squeal". While doing it, most turn red in the face, the veins in their forehead pop up, they squinch their eyes shut and screw their faces all out of shape while they proceed to rattle the eardrums of anyone within 50 feet. To what end? Trumpet players in the audience might be impressed to some degree, but the first response from the average observer is usually more "how did they do that?" much more often than "Wow!". There's nothing wrong with working on your upper range, but for the sake of not messing up your lip in the process, go slowly. Be patient. When you find you can hit a note higher than before, don't try to go another step up until you can play that one with some degree of comfort, volume control, clarity, and without going grossly sharp or flat. When you can pick up your horn, and without warming up can hit high C (1st C above staff), then and only then should you let squealing or playing high D, E or above become of any concern.

the highest i can go up to is the C above the staff (hey, it's good for me, im only in beginner band) my band director tells us that lip sluring is really good to get up to higher notes, so try something like that

Ehhh faqqqqq, my highest note was a D. I was drunk. Wehehehe :D

so what are the good ways to build range

Do what the other guys said.

if you push harder you'll hit it

NO! don't push harder thats the stupidist thing u can do it can ruin ur lips, embahsure, and it'll never be in tune. A high C should be played the same way you play a low C/Fsharp w/e low note ur playin. Ur just tighting up the corners of ur mouth make them do the work not ur lips! Make sure ur using lots of air too. But omg do not press harder!? wow!

that's not stupid. I push as hard as I can for 8 hours a night... the more tired i get the harder i push and i can hit a quadruple c (the one four octaves above middle c in the staff) without any trouble at all. and my tone is nice and full too... the harder i push the better i play.

For now maybe, but in the long run it's going to kill your playing. Pushing harder into your face is one of the things trumpet players try to stay very far away from. The muscles in your lips are extremely small and cannot take too much pressure. This is why most trumpet players say to use your air and not your face.

U shouldn't push. Its stupid probally as stupid as the guy with the name weedy. Tighten ur corners of ur mouth and maybe get a shawllower mouthpiece.

you alreay have a great range if you have an E, don't focus on it it will come in time