The aspect of this that (I think) you are asking about is OK, but "going to school" to me does not feel like an action that happens at one discrete time. I think "leaving for school" or "starting school" is better, depending on what you mean. I might consider moving "lately" in the last sentence -- maybe putting it at the start or end.
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AnonymousIn the US (the poster GPY is British), the sentences, "I'm going to school these days at nine." and "I've been going to school lately at nine.", mean the same thing: "I leave the house for school at 9:00." or "The classes I'm taking start at 9:00." or "I get to the campus at 9:00." The context would determine which one you mean.This is no different f