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Inductive Reasoning
Vocabularyinductive reasoningsequence
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© Evergreen Public Schools 2010
I can use inductive reasoning to support a conjecture.
What is reasoning
?
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LaunchLaunchLaunchLaunchRemember from last year the Tile
and Toothpick Patterns?
Here’s a recap.
3
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LaunchLaunchLaunchLaunchWhat is the area of figure 5 in the sequence?
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Be prepared to justify your answer.
Be prepared to justify your answer.
Work with a partner to develop 2 justifications.Work with a partner to develop 2 justifications.
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Inductive ReasoningInductive 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.
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Inductive ReasoningInductive Reasoning
Here’s an example.• The sun came up this morning. • The sun came up the day before that. • The sun came up the day before that. • Therefore, the sun comes up every
day, and will come up tomorrow too.
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Inductive ReasoningInductive Reasoning
How is the “Tile Pattern” inductive reasoning?
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Inductive ReasoningInductive Reasoning
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Describe the pattern
you observe.
Describe the pattern
you observe.
Be prepared to justify your answer.
Be prepared to justify your answer.
updated 04/18/23
© Evergreen Public Schools 2010
Inductive ReasoningInductive Reasoning
What is the next number in the sequence?
10
3,7,11,
___,15 ___,19 ___23Describe
the pattern you
observe.
Describe the pattern
you observe.
updated 04/18/23
© Evergreen Public Schools 2010
Inductive ReasoningInductive Reasoning
What is the next number in the sequence?
11
3, 6,12,
___,24 ___,48 ___96
Describe the pattern
you observe.
Describe the pattern
you observe.
updated 04/18/23
© Evergreen Public Schools 2010
Inductive ReasoningInductive Reasoning
What is the next number in the sequence?
12
1, 2, 3,___,5 ___,8 ___13
Describe the pattern
you observe.
Describe the pattern
you observe.
updated 04/18/23
© Evergreen Public Schools 2010
Team PracticeTeam Practice
Use inductive reasoning to find or draw the next two terms in each sequence.
1)
2) 1, 5, 14, 30, 55
3)
13
5
4 ,
2
1 ,
7
2 ,
8
1
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DebriefDebrief
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Describe inductive reasoning.
Give an example.
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5
3
12
4
Did you hit the target? I can use inductive
reasoning to support a conjecture.
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Rate your understanding of the target from 1 to 5.
5 is a bullseye!
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PracticePractice
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Your assignment for today is:Practice 2.1 Inductive Reasoning
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Ticket Out
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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.
