The critique should summarize
the paper and provide your opinion on it. It should give the motivation for the
work (i.e. why they wrote it) the methods they used (i.e. what they did and
how they did it) and their conclusions (i.e. what they proved or found out).
As for critiquing the paper you should state whether you think the paper is
valuable and why and whether you think the methodology was sound (e.g. did
they make unrealistic assumptions?). You should also point out anything you
would have done differently and also discuss what other research questions and
problems the paper raises.