The first form of film writing described in the article is Formal Analysis. It is discussing the movie as a whole by breaking up different parts of the movie, such as, cinematography, lighting, setting, acting techniques, score, etc. A Formal Analysis would be a typical analysis.
Annotating a Film Sequence involves taking notes on a specific shot sequence or scene. This is beneficial because one is able to break down a scene and examine all the different parts. The editing, choice of shots, score, lighting all can be examined. It is beneficial because it helps understand why the film creates a certain effect.
When thinking beyond the frame one should consider other aspects that do not pertain to a certain shot or scene. One should question who made the film. The scene might have similar themes or motif that relate to other movies made by the same director. Production history must be considered to understand whether or not it was a big or small production movie. Read what critics have to say, and see if it aides your analysis. Examine the genre and whether or not the movie uses clichés in the genre. Is the film also interesting culturally.