1. Using Patterns and Inductive Reasoning Geometry Mr. Zampetti Unit 1, Day 3

2. Definition Inductive Reasoning: a type of reasoning that allows you to reach conclusions based on a pattern

3. Examples of Patterns Find the next two terms of the number sequence: 1, 2, 3, 4, … 5, 6 Describe the pattern you observed.

4. Examples of Patterns Find the next two terms of the number sequence: 9, 6, 3, … 0, -3 Describe the pattern you observed.

5. Examples of Patterns Find the next two terms of the number sequence: 2, 4, 8, 16, … 32, 64 Describe the pattern you observed.

6. Examples of Patterns Find the next two terms of the number sequence: 0, 1, 1, 2, 3, 5, 8, 13 … 21, 34 Describe the pattern you observed. This pattern has a special name! This is the Fibonacci Sequence. http://images.google.com/imgres?imgurl=http://facultystaff.vwc.edu/~trfanney/golden-mean- WOWslides/images/Fibonacci.jpeg&imgrefurl=http://facultystaff.vwc.edu/~trfanney/golden-mean- WOWslides/gm11.html&usg=__xklyYyiraE1F0RG0eOzdc9m0m3Q=&h=326&w=268&sz=14&hl=en&start=4&tbnid=Swx nuYRRDHilnM:&tbnh=118&tbnw=97&prev=/images%3Fq%3Dfibonacci%26gbv%3D2%26hl%3Den%26safe%3Dactive

7. Definition Conjecture: a conclusion reached by inductive reasoning

8. Example

9. Homework Using Patterns and Inductive Reasoning in Homework Packets