Inductive vs Deductive Reasoning

Front

What is Deductive Reasoning?

Back

A type of reasoning that starts with general statements or premises and reaches a specific conclusion. Example: All humans are mortal; Socrates is a human; therefore, Socrates is mortal.

Front

What is Inductive Reasoning?

Back

A type of reasoning that involves making generalizations based on specific observations or patterns. Example: The sun has risen in the east every day; therefore, the sun will rise in the east tomorrow.

Tags

CCSS.HSS.IC.B.3

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What is a Counterexample?

Back

An example that disproves a statement or proposition. It is used to show that a conjecture is false.

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If all reptiles are cold-blooded, and snakes are reptiles, what can be concluded?

Back

Snakes are cold-blooded. (This is an example of deductive reasoning.)

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What is a Conjecture?

Back

A statement that is believed to be true based on observations but has not yet been proven.

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CCSS.6.SP.A.3

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What is the conclusion of the following statements? If it rains, then the ground is wet. It is raining.

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The ground is wet. (This is an example of deductive reasoning.)

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CCSS.HSS.CP.B.7

Front

What is the next term in the sequence: A, D, G, J, _____?

Back

M (The pattern increases by 3 letters each time.)

Tags

CCSS.RF.K.1B

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What is the difference between Inductive and Deductive Reasoning?

Back

Inductive reasoning makes generalizations based on specific instances, while deductive reasoning applies general principles to reach specific conclusions.

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CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What can be inferred from the statement: If Tom goes fishing, then he brings a pole?

Back

If Tom goes fishing, then he catches a fish. (This is a conclusion drawn from the premises.)

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is an example of Inductive Reasoning?

Back

Every swan I have seen is white; therefore, all swans are white.

Tags

CCSS.HSS.IC.B.3