☺ There is no fixed format for tuition lessons: to a large extent I "play it by ear", though in all cases I arrange for the student to be proactively involved in the learning process rather than have me droning on!
☺ At the start of the lesson, I will usually go over any tutorial assignments I may have given the student during the previous session, particularly if difficulties have been encountered.
☺ With some students, especially in physics, the pattern is a systematic progression through the syllabus one topic one at a time, often based on a course text book, with a fair amount of explanation and expanding on the material. During this intensive study, I regularly ask questions to check comprehension of qualitative concepts. At the end of each (sub)section, I emphasize the solving of problems by the student, to test their understanding of the subject matter - quantitative as well as qualitative.
☺ Other students prefer a more ad hoc approach. They have encountered a difficulty with some concept, and we deal with it there and then. I will normally get the student to do as many examples around this as we have time for, especially when the issue involves calculation.
☺ At the close of the lesson, I will often provide an assignment to be completed by the next appointment. It makes a BIG difference to their performance when students are conscientious about completing these tasks. (And it is helpful when students prepare for the following lesson by reading in advance where this is relevant.)