Teenagers **shudder**
I've been through it twice, going through it right now and I've also a tot who thinks she's one.... I feel your pain
My elder two were very different from my daughter now.
My daughter didn't hit THAT stage until she was 18, she had already left home and decided she was a grown up and it was her way or the highway, argumentative, sulky, hugely opinionated on everything I did/wore/went to.. She's 25 and can still be the same at times.
My son never went through it, the boy is so laid back he is almost horizontal!! At 21 he is a very calming influence on his baby sister.
My 16yro is constantly grumpy - unless she is with her boyf - she is like how her older sister was at 18 but with the fun added extras of being a stamper, door slammer, screamer, shouter, grudge bearer, pusher, swearer.. To be honest I'm not a violent person but if she was a nobody flipping out at me the way she does she'd probably get a punch in the chops!!
BUT because she is my own lil livewire I speak calmly explaining stuff, I don't give her long winded talks to cause she is sometimes so angry she just doesn't hear after a while, I don't shout as it just fuels her.
I literally wait until she has taken herself to her room, ignore the 'get outs' and speak calmly and quietly about any issue that has set her off, give her a one way hug while she stands like a stone then I leave her until she is ready to socialise again.
It works for us
Gotta love teenagers really
I feel bad moaning about one!! mind i think not shouting as you say is the key and this is what i find hard, i shout she shouts back then me, by this point i have steam coming out my ears xx