Obtain the syllabus for the course. The syllabus spells out what was meant to be taught, the materials that were to be implemented and the grading criteria to be used throughout the course. Use the syllabus as a guide to help determine that what was promised in the course's beginning was realized.
Create an outline with main sections consisting of the facets of the course. The sections should consist of the teacher or professor, the material such as the book and handouts, discussion, homework, testing and grading.
Create subsections under each main section that pertain to specifics. For example, under the teacher or professor section, include items such as his knowledge of the material, ability to lecture, availability and whether he was respectful. Under the discussion section, include items such as whether the class remained on topic during discussions and whether the conversation was respectful and enlightening.
Write a draft of the critique as you refer to the outline. Keep it brief and be accurate. Do not let emotions or personal biases influence your critique. The point of the critique is to provide an objective perspective of the course. If you let emotions or personal biases influence your report, it may be inaccurate and not viewed as a meaningful critique. Also, use examples throughout the critique to give the reader a better understanding of the topic.
Sleep on it. Before turning your critique in, give it a day or two to think about the first draft and refine it. When you refine your critique, refer to the syllabus again. Edit your draft for typos and accuracy. If you are not a proficient self-editor, have another person read it to make sure that you did not miss anything.