20 likes | 172 Views
Verify the conjecture Use logical reasoning to verify that the conjecture is true in all cases. More General. Make a conjecture Come up with an unproven statement based on the examples Modify the conjecture if necessary. Observe and look for a pattern Use several examples
E N D
Verify the conjecture • Use logical reasoning to verify that the conjecture is true in all cases More General • Make a conjecture • Come up with an unproven statement based on the examples • Modify the conjecture if necessary • Observe and look for a pattern • Use several examples • Use diagrams and tables to help More Specific The Inductive Reasoning Process (From the Ground Up) ***Remember: To prove a conjecture false, you need only provide a single counterexample***
The Inductive Reasoning Process (From the Ground Up) • Verify the conjecture • Use logical reasoning to verify that the conjecture is true in all cases • Make a conjecture • Come up with an unproven statement based on the examples • Modify the conjecture if necessary • Observe and look for a pattern • Use several examples • Use diagrams and tables to help ***To prove a conjecture false, you need only provide a single counterexample***