1.1+Patterns+and+Inductive+Reasoning

In this section you learn how to find and describe patterns. then you learn to use inductive reasoning to make a conjecture. Inductive reasoning is a process that is used to discover, determine, and continue a pattern. The first thing you do is look for a pattern; then make a conjecture; then verify the conjecture. "A conjecture is an unproven statement that is based on observations." This section can be found on text pages 3-5. section 1.1

Finding a pattern and using inductive reasoning- step 1: Find a pattern step 2: Find the relationship between all of the parts of the pattern (a conjecture) step 3: verify (or prove) your conjecture by using logical reasoning.

POWERPOINT (.pdf) with examples:

First Example: 2,5,8,11... Find the pattern: 2,5,8,11 Find the relationship between all of the parts of the pattern: 2 (+3) 5 (+3) 8 (+3) 11 The conjecture: each number in the pattern is three greater than the previous. Verify your conjecture with logical reasoning: 2 + 3 = 5 5 + 3 = 8 8 + 3 = 11

Powerpoint by: http://docs.google.com/viewer?a=v&q=cache:Y22kvRTuR2kJ:dlc.k12.ar.us/Pat.%2520Laster/PDF%27s/Geometry%2520Printable%2520Powerpoints/Patterns%2520and%2520Inductive%2520Reasoning.pdf+patterns+and+inductive+reasoning&hl=en&gl=us&sig=AHIEtbQkBzutqnRmkOCK-dj0rpVcvo1NPg

Also used: Online text book