Let's just get this one out of the way.
Assignment #1: Make a photograph that adheres to the Rule of Thirds.
The only difficulty about the Rule of Thirds is deciding what it means. Some folks interpret it rather loosely, suggesting that it really means "keep your subject out of the exact center of the frame." Others are a bit more strict, talking about dividing your frame into ninths with a tic-tac-toe board and putting your point of interest in one of the four intersections.
One explanation that I particularly like - I'm paraphrasing and I wish I remember where it came from - is that if you center your subject, you risk creating a boring image but if you put your subject too close to the edge, you risk creating an awkward image.
Anyway, take your pick. Then take your pic.
Surveying His Domain
Mount Evans, Colorado
And a Cardinal in a Pear Tree
FUMC Pumpkin Patch, Fishers, Indiana