I usually work differently depending on the level of teaching, but to summarise, for primary school students, I will teach them the basics of a concept and help build on that by providing them with harder application questions surrounding those topics.

I have a similar yet more in depth method for GCSE students. In this case, the method is more focused on developing general skills and intuition, rather than teaching each and every single individual topic. For example, instead of teaching them how index laws work, I will provide them with the intuition behind these laws. In addition, especially for GCSE students, I will plan on mostly focusing on higher level questions (think grade 8-9 questions) for each individual topic, as well as going back to past exam questions that got traction online for being notoriously tough.

My lessons will be relaxed, since I intend on having a fun time teaching. I will most likely give two pieces of homework per lesson, one focused on developing intuition and one focused on topic practice. These lessons will start out by reviewing the past week's homework tasks, answering any questions from the homework and so on. From there, the lesson will revolve around linking a previous topic to a newer one, or linking a concept in problem solving to a topic, most likely a hard topic.

I would like to preface that for GCSE students, I don't intend on teaching a student who just needs to pass the course, I would much rather have a student who wants to do well, and at that do exceptionally well. This means that I expect homework to be done every week, and with that, I expect the student to show interest, and ask questions showing interest.