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.

Tags

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.

Back

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

Tags

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.

Tags

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.7.1

CCSS.RI.8.1

CCSS.RI.8.8

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