Inductive reasoning is when you use clues and patterns to make a conclusion.
A conjecture is the conclusion that you make.
You can look at patterns whether they are pictures or numbers and use inductive reasoning to determine the rule that they follow. Here are a couple of examples you can try.
2, 4, 6, 8,...... What is the rule? What are the next 2 terms?
4, 3, 5, 4, 6, 5, 7....... What is the rule? What are the next 2 terms?
Not all conjectures are true. Sometimes we make a conjecture about something and later find out it is incorrect. If it is incorrect, there is a counter example to prove it.
Here is an example.
All birds can fly. This is incorrect.
A counter example of this conjecture could be an ostrich or a penguin. Both are birds, but neither of them can fly.
The homework for this section is pg. 38 2-30 evens.