"That's one giant leap for a man, one small step for mankind."
This would be more true according to scale - on the small scale of a man stepping from the Earth to the moon is a very big step, but on the much larger scale of mankind the step is relatively much smaller, though on that scale this may well have been mankind's very first (and so far only) real step.
I think I read somewhere that was the original script.... Armstrong pronounced it wrong in all the excitement!
It could've been. He was on the moon 'fer chrissake. All he had to do was stand on the last step and leap about 100 feet through the "air." It would've been awesome. I've never really forgiven him for that. ;-)