Hello Shauna,
This is typical behavior for toddlers. I'm a parent coach who specializes in the toddler years. I first teach my parents to understand their toddler's needs to prevent their toddler's tantrums. It sounds to me from this short description your toddler needs to know what to do when she feels angry, overwhelmed, upset. When our children's don't know what to do when these strange and unknow feelings take over, they revert to what they know.
Toddlers know that when they cry & scream, Mom/Dad will make it better. They know this because all through their baby years, (remember that was only a few months ago for them), when they had a need & cried, Mom/Dad met that need. You fed her, changed her diaper or snuggled her.
If you want to get rid of these tantrums, give your daughter words. If she yells when she wants a cookie, tell her, "I know you're feeling angry because I won't give you the cookie, but it's almost dinnner time. Do you see me making dinner now? If you would like the cookie after dinner, you can ask, you would say, 'May I have the cookie after dinner?'."
It seems long & complicated, but you are providing a lot of useful information for her. She is understanding her feelings and giving them words, learning to observe what's happening in her enviroment, (dinnner is being made), you are helping her anticipate the future, (cookie after dinnner), and providing her with the proper words to get what she wants.
This is the building blocks of a tantrum free child. While it takes longer to "get results", when she is 3 & tells you she feels angry and needs to talk, it will be worth it! I've seen this happen in real life with the children I've worked with.
I hope this helps.
R. Magby