Why is my Minecraft: Xbox 360 Edition game lagging so bad?

I loaded up and started a new survival world about a month ago, and just yesterday, my game started to lag very badly. I have to hold down my trigger for a very long time to eat, and when I sleep, it takes a long time sitting in the bed to start the next day. Also, item pick ups are very delayed (when I m mining, the blocks I destroy don t go to my inventory until about 3 seconds later), and when I kill mobs, they lag out and float in the air for a few seconds after being killed. Please help.

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