To focus your essay, you will need first of all to identify one struggle to change the world that will be the ‘object’ to which you will apply critical theory.This can be one specific pattern of reality (e.g. transphobic violence) or a specific site of struggle (e.g. Extinction Rebellion). Whatever it is, make sure that it is not too broad, and you will first of all need to explain that reality clearly.
The task then is to take up themes that have been dealt and in particular in Part Three of the course (‘Changing the World’). You might focus your treatment of the course material by drawing more heavily on the themes addressed in weeks seven (what is possible), eight (what must be abolished) or nine (what can be hoped for). Even if you place more emphasis on one of these three weeks,
your essay should demonstrate familiarity with all lecture materials and readings for Part Three, and where useful, on readings and lectures from Parts One and Two. After presenting the example to which you will apply critical theory, the main body of your essay should be committed to showing how critical theory can help to formalise and clarify the particular struggle you are analysing.
You do not need to find ‘the truth’ hidden in your example, in the sense that your analysis would be complete and final. There is however an important way in which critical theory can help to bring to light some thing or things that would otherwise be concealed from view. It might be useful then to think of this writing assignment as a project of using critical theory in order to ‘unconceal’ something that is not immediately apparent in the way that it is usually understood.