the inductive reasoning process (from the ground up)

2
Observe and look for a pattern Use several examples Use diagrams and tables to help Make a conjecture Come up with an unproven statement based on the examples Modify the conjecture if necessary Verify the conjecture Use logical reasoning to verify that the conjecture is true in all cases ***Remember: To prove a conjecture false, you need only provide a single counterexample*** More Specif ic More Genera l

Upload: vaughan-morton

Post on 31-Dec-2015

16 views

Category:

Documents


0 download

DESCRIPTION

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 - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: The Inductive Reasoning Process  (From the Ground Up)

Observe and look for a pattern

• Use several examples

• Use diagrams and tables to help

Make a conjecture

• Come up with an unproven statement based on the examples

• Modify the conjecture if necessary

Verify the conjecture

• Use logical reasoning to verify that the conjecture is true in all cases

***Remember: To prove a conjecture false, you need only provide a single counterexample***

More Specific

MoreGeneral

Page 2: The Inductive Reasoning Process  (From the Ground Up)

Observe and look for a pattern

• Use several examples

• Use diagrams and tables to help

Make a conjecture

• Come up with an unproven statement based on the examples

• Modify the conjecture if necessary

Verify the conjecture

• Use logical reasoning to verify that the conjecture is true in all cases

***To prove a conjecture false, you need only provide a single counterexample***