I'm going off by myself. He can catch his own pigs.Anyone who wants to hunt when I do can come too."
"No go, Piggy. We've got no fire. That thing sits up there we'll have to stay here."
"I said we could all do without a certain person. Now I say we go to decide on what can be done. And I think I could tell you what Ralph's going to say next. The most important thing on the island is the smoke and you can't have no smoke without fire."
Piggy, Ralph, and Jack were down by the beach talking about the beast. It is significant because little did they know that the beast is actually them. The beast is within in the boys as an internal force. Simon is the only one who recognises this by his watching of interactions between the boys and his converstation with 'The Lord of the Flies.
Ralph, Jack, and the rest of the group decide weather they want Ralph or Jack as group leader. They decide to keep Ralph as the leader. The significance of this is that this is the moment that the groups formed Jack's group the savages and Ralph's group the civilized. This also symbolized the divide between good and evil.
Piggy and Ralph are on the mountain with the other boys discussing about what do about the fire and being rescued. This is significant because its there last chance at being rescued and maybe being able to turn back to the way they used to be.Its also its the first task they have as a new group.