RORY: Hey how’s it going?
LANE: Very well. I have discovered that in addition to my lameness in geometry I also will not become a biologist, French translator, or Civil War buff.
Apparently Lane didn’t get great results in her mid-term exams – at least not in Geometry, Biology, French, and American History. A reminder that Lane has a school life too with homework and exams, and that unlike Rory she isn’t an academic whiz-kid.
You can see that Lane has a sheet of music up, so she is apparently teaching herself to read music, as well as familiarising herself with multiple genres of popular music. This helps explain her lacklustre school results – she is bright, focused, and hard working, but is simply far more interested in music than school. If only her parents had sent her to a music school, she would have aced everything, but only Rory gets educational opportunities and a chance to shine at what she’s good at.
The Annotated Gilmore Girls 