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updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning Vocabulary inductive reasoning sequence 1

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updated 5/11/2015 © Evergreen Public Schools 2010 Learning Target I can use inductive reasoning to support a conjecture. What is reasoning? 2

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updated 5/11/2015 © Evergreen Public Schools 2010 LaunchLaunch Remember from last year the Tile and Toothpick Patterns? Here’s a recap. 3

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updated 5/11/2015 © Evergreen Public Schools 2010 LaunchLaunch What is the area of figure 5 in the sequence? 4 Be prepared to justify your answer. Work with a partner to develop 2 justifications.

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updated 5/11/2015 © Evergreen Public Schools 2010 ExploreExplore 5

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updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning Inductive reasoning is when you move from a set of examples to a conjecture that you think explains all the examples, as well as examples that will appear in the future. 6

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updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning Here’s an example. The sun came up this morning. The sun came up the day before that. Therefore, the sun comes up every day, and will come up tomorrow too. 7

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updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning How is the “Tile Pattern” inductive reasoning? 8

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updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning 9 Describe the pattern you observe. Be prepared to justify your answer.

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updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning What is the next number in the sequence? 10 3, 7,11, ___, 15 ___, 19 ___ 23 Describe the pattern you observe.

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updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning What is the next number in the sequence? 11 3, 6,12, ___, 24 ___, 48 ___ 96 Describe the pattern you observe.

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updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning What is the next number in the sequence? 12 1, 2,3, ___, 5 8 ___ 13 Describe the pattern you observe.

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updated 5/11/2015 © Evergreen Public Schools 2010 Team Practice Use inductive reasoning to find or draw the next two terms in each sequence. 1) 2)1, 5, 14, 30, 55 3) 13

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updated 5/11/2015 © Evergreen Public Schools 2010 Debrief 14 Describe inductive reasoning. Give an example.

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updated 5/11/2015 © Evergreen Public Schools 2010 5 3 1 2 4 Learning Target Did you hit the target? I can use inductive reasoning to support a conjecture. 15 Rate your understanding of the target from 1 to 5. 5 is a bullseye!

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updated 5/11/2015 © Evergreen Public Schools 2010 Practice 16 Your assignment for today is: Practice 2.1 Inductive Reasoning

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updated 5/11/2015 © Evergreen Public Schools 2010 17 Write on your own paper. 1. What are the next 3 terms in the sequence? 48, 24, 12,____, ____, ____ 2.Describe the pattern you observe using a complete sentence. Turn in your paper.

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