Lesson 1-7 Inductive Reasoning

Inductive Reasoning – making conclusions based on patterns you observe. Conjecture – conclusion you reach by inductive reasoning

Make an observation and conjecture about the following pattern.

For a number pattern, a conjecture can be a rule that explains how to make the pattern. Three dots in a pattern tell you that the pattern continues

Write a rule for each pattern, then find the next two numbers 30, 25, 20, 15,… 2, -2, 2, -2,… 1, 3, 4, 12, 13, 39,…

An example that proves a statement false is a counterexample. You only need one counter example to prove that a conjecture is incorrect

Is each conjecture correct or incorrect? If it is incorrect, give a counterexample. Every four-sided figure is a rectangle The absolute value of any integer is positive The quotient of two numbers is never more than either of the numbers