The document discusses patterns and inductive reasoning. It defines inductive reasoning as making conjectures based on observed patterns. There are three stages of inductive reasoning: finding a pattern in examples, making a conjecture, and verifying the conjecture by showing it is true for all cases. The document provides examples of patterns and using inductive reasoning to make conjectures about patterns.

1. 1.1 Patterns and Inductive Reasoning Goal 1: Finding and Describing Patterns You will be able to find and describe _____ and ________ patterns. visual numerical

2. Can you sketch the next figure in the pattern? 5 ? 1 2 3 4 5

3. Can you predict the next number in the pattern? 0, 2, 4, 6, ? Answer: 8 3, 1, 4, 1, 5, Answer: 2 (These are the digits of pi .) 9, ?

5. 1.1 Patterns and Inductive Reasoning Goal 2: Using Inductive Reasoning You will learn to use inductive reasoning to predict future elements in a pattern.

8. What is the next element in the pattern?