Conjecturing and Generalising is part of our Thinking Mathematically collection.
Mathematicians are not only interested in answering questions, they also pose questions, make conjectures and test ideas.
After you have had the chance to explore a context, have noticed patterns and possible structures, and have worked systematically to generate more examples, you may then be in a position to conjecture, expressing ideas about what you think will happen more generally.
Moving from the particular to the general is a key mathematical process, and the tasks below will offer you opportunities to use specific examples as a springboard to generalising.