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