Well, I prefer to do like you did -- spot metering and Manual exposure -- if I can stay in a good position relative to the sun, one setting can pretty much get the shots I want, although yeah, sometimes you have to adapt to changing light.
So, in the shots you posted, that last one in the shade was challenging, sure, and I'd have probably made the same move you did, to "expose for the foreground/subjects" -- otherwise, well, things in pp would have been not so pleasant. Even though you were able to get good exposures for the blue sky in your first two shots, and I like to be able to get that when the sun is in a good spot, the fact remains that you were there to shoot your daughter's soccer game, not a pretty blue sky
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As to shooting in one of the other modes, if I switch from Manual it tends to be to Av, which I do use a lot when doing wildlife shooting where I can't be picky about the light. I set my aperture to, like I mentioned earlier, give me a good balance for a reasonably fast shutter speed and a decent DOF. Of course for this type of shooting, if the light goes low, I will if "pushed" go for wider apertures and higher ISOs...I've been known to "stick" at f/2.8 and ISO 3200 to wrap up some shooting
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