Use 'try for' when expressing a strong intention or determination to achieve something. I'm going to try for the best grades this semester.
Pro Tip 2/3
Aspiring Attitude
'Try for' carries a motivational tone, suggesting ambition and the pursuit of a specific target or opportunity. Tom will try for the lead role in the school play.
Pro Tip 3/3
Focused Attempt
Highlighting one's effort to secure something specific and not something in general. She's going to try for the scholarship offered by the tech company.