What do you do when your child turns into a screamer over everything?

How do I stop the screaming when she's not getting what she wants and her way? I've never in all my years experienced a child who screams about everything and I'm at a loss. And sometimes tantrums, at 11 months old, oh no! 😲😩If she doesn't have the toy, or anything else someone else has that she wants she screams. It all ranges from a blood curdling scream, to a tearful bawling cry, sometimes a groaning growl and then there's the grunting. If she's wanting to eat or nurse instead of the other cues she used to give she screams. I've successfully taught her the sign for please, eat and milk. I'm working on a couple more but only 1 or 2 more at a time. She uses them but rarely. I don't give into her screaming though. If it's to eat or nurse then I redirect her to use the signs without screaming before I let her eat or nurse. As far as getting the item she WANTS that someone else has, I end up redirecting with another toy that is hers. But no I feel my whole body tense up when I hear her shrill, which feels like the majority of her waking day lately. Am I on the right path and it's just going to take time or do any of you have any other techniques or suggestions?