Inductive vs Deductive Reasoning

Front

What is a counterexample?

Back

A specific case that shows a conjecture is false.

Front

What is the difference between inductive and deductive reasoning?

Back

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

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 inductive reasoning?

Back

A type of reasoning that involves making generalizations based on observed patterns or examples.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is deductive reasoning?

Back

A type of reasoning that starts with general statements or facts and applies them to reach a specific conclusion.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is a conjecture?

Back

A statement or hypothesis that is believed to be true but has not yet been proven.

Front

Provide an example of inductive reasoning.

Back

If you observe that the sun rises in the east every day, you might conclude that the sun always rises in the east.

Tags

CCSS.HSS.IC.B.3

Front

Provide an example of deductive reasoning.

Back

All humans are mortal. Socrates is a human. Therefore, Socrates is mortal.

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 the role of a counterexample in reasoning?

Back

It is used to disprove a conjecture or statement.

Front

What are facts, definitions, and accepted properties used for in deductive reasoning?

Back

They are the basis for forming logical arguments and conclusions.

Front

What is an obtuse angle?

Back

An angle that measures greater than 90 degrees.

Tags

CCSS.4.G.A.1