Petals Around The Rose

This is a puzzle called Petals Around the Rose. You see five dice below. Each roll of the dice is given a score, and your job is to figure out why that score is given to that roll of the dice.

To this end, I can give you only one rule: the name of the puzzle is significant to the solution! Oh, and one other rule: if you figure out the game, don't tell anyone else, let them figure it out for themselves! :-)

I'm not revealing the source just yet. You have to earn it. Don't worry, if you have trouble, I'll help you out later.

Have fun!