Here's my take on this, as another mom of a sometimes very frustrated five year old.:)
First, I do not do a ton of precorrecting, making lists, etc. I do try handle things in the moment, to give positive feedback, but I know that sometimes, for little kids, there can be a disconnect between all those fine plans they make when they are calm and what is happening for them when they are angry. So, do the listing activity (of alternatives to hurting/hitting when we are mad), and know that this is just one part of things. Much like parenting, for the individual, the theoretics and the practical reality of a situation can feel very different.
Let's not forget that their little brains are still developing and those emotions tend to filter through their 'lower', more primitive parts of their brains first. Hence, for some kids (mine too, who is sweet as pie much of the time), those angry emotions feel huge. And so they throw stuff, bite, hit, etc.
Mr Rogers has a great song you might want to use with your group. It's called "What do you do with the mad that you feel?" I love this song for kids, because it acknowledges both the enormity of their feelings AND offers playful solutions to channeling that energy. It empowers children to stop their angry actions, make a new plan, and to 'stop when I want to, stop when I wish...'. You could find the lyrics online.
My son has really been struggling with big feelings lately. Our house is being worked on, he's getting very little of me compared to what he usually gets, schoolwork is challenging (he has eye function issues).... So, I deal with a lot of stuff in the moment. Yesterday he threw some Tinkertoys at the wall because he was mad a playdate was ending. I acknowledged his disappointment, we removed the tinkertoys for a few days (because that's unsafe for self/others/property) and I asked him to help us find a way to end the playdate in a friendly way. I don't overtalk the feelings, just acknowledge them and let him know what the boundaries for treating other people/objects are.
Sometimes, I will tell him "you know, it seems like you want to be mad. Please go play in your room until you are ready to be friendly and kind again." This is one tactic I would use in your situation; acknowledge the feelings, then give the conditions ("you may play safely with your brother OR you may play in your room").
One thing we've done with our son is to start a 'blue dot' chart, which is really a visual acknowledgement of good attitude, cooperativeness, good follow-through--the traits we want to cultivate. We give him a blue dot for those good things we see, and we are fairly generous with them. "Wow! You got that coat on AND your zipper done with no fuss this morning! I know that zipper has been so pesky for you, and you did it just fine. That's three blue dots!" or "I really like how you set the table with no complaining today. That made it really pleasant for me. We'll put two blue dots on the chart." When we've charted 100 blue dots, (which is taking us about two weeks now; it used to take a while longer) then we do a fun thing as either a family, or him with one of us. We usually give him a choice of two fun, special things and this has worked SO well. And we don't offer blue dots (If you can do X, you can earn...) and we don't take them away or remind him 'oh, you could have had blue dots if...' . We try to keep it fun.
We need to remember that it does need to be okay for kids to kick a shoe sometimes. I think we (esp. as early childhood ed folks) forget that we don't want to label their anger or grumbling as 'bad' or something to be feared or repressed.. We need to remember that they are five and still very little kids in some respect. It seems like some posters on this thread have kids who really do deal well with their feelings-- keep in mind that some of this is parenting, and some is just the child's temperament, too.