Using Patterns and

Inductive Reasoning

Geometry

Mr. Zampetti

Unit 1, Day 3

Definition

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

Examples of Patterns

Find the next two terms of the number sequence: 1, 2, 3, 4, …

5, 6

Describe the pattern you observed.

Examples of Patterns

Find the next two terms of the number sequence: 9, 6, 3, …

0, -3

Describe the pattern you observed.

Examples of Patterns

Find the next two terms of the number sequence: 2, 4, 8, 16, …

32, 64

Describe the pattern you observed.

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=SwxnuYRRDHilnM:&tbnh=118&tbnw=97&prev=/images%3Fq%3Dfibonacci%26gbv%3D2%26hl%3Den%26safe%3Dactive

Definition

Conjecture: a conclusion reached by inductive reasoning

Example

Homework

Using Patterns and Inductive Reasoning in Homework Packets