We used to use the term IDEAL to explain this.
Level 3: You can say what something Is
Level 4: You can Describe something in detail
Level 5: You can Explain what is happening
Level 6: You can Apply your knowledge to a new situation
Level 7: You can make Links between key ideas
It’s a bit out of date but in terms of being plunged into your new home-teaching career, it gives you a very obvious way to recognise and ask higher-level questions and therefore provoke and identify a more detailed understanding of topics.