I usually start like this....
The issue is whether (fill in issue). Since this is a K for the sale of goods, the UCC applies. The SOF also applies b/c this is for the sale of goods equal to or greater than $500.
Then move to your analysis, counter-arguments, etc.
If the fact pattern doesn't say that it's a state that adopted the UCC, I would then go....
OTOH, common law rules could apply. Since the fact pattern doesn't state whether we are in a jurisdiction that has adopted the UCC, blah blah move to analysis.
If time is an issue, and it appears to be an obvious UCC question, hit the UCC first. I always go for the low hanging fruit first to get the for sure easy points. Move to the exceptions, alternatives, etc later. At a minimum, you've showed your professor that you're aware that it depends on if the state has the UCC. Nuances like that in an exam can be the difference in deciding what side of the curve you end up on.
But again, that's just my mode of attack. It's not the destination so much as the journey that took you there is what matters in law school exams. YMMV.