Inductive and Deductive Reasoning

Front

What is inductive reasoning?

Back

Inductive reasoning is a type of reasoning that involves making generalizations based on specific observations or patterns.

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 deductive reasoning?

Back

Deductive reasoning is a logical process where a conclusion is reached based on the concordance of multiple premises that are generally assumed to be true.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

Provide an example of inductive reasoning.

Back

All observed swans are white; therefore, all swans are white.

Tags

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

Provide an example of deductive reasoning.

Back

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

Tags

CCSS.RI.7.1

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.7.1

CCSS.RL.8.1

Front

What is a key characteristic of inductive reasoning?

Back

Inductive reasoning often leads to conclusions that are probable but not guaranteed.

Tags

CCSS.HSS.IC.B.3

Front

What is a key characteristic of deductive reasoning?

Back

Deductive reasoning leads to conclusions that are logically certain if the premises are true.

Front

What does it mean for a definition to be reversible?

Back

A definition is reversible if the terms can be interchanged without losing meaning.

Tags

CCSS.RI.7.4

CCSS.RI.8.4

CCSS.RI.9-10.4

CCSS.RL.8.4

CCSS.RL.9-10.4

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a statement 'If P, then Q' is 'If not Q, then not P'.

Front

What is a pattern in mathematics?

Back

A pattern is a repeated or predictable sequence of numbers or shapes.

Tags

CCSS.HSF.BF.A.2

Front

How do you identify the next numbers in a numerical pattern?

Back

To identify the next numbers, determine the rule or operation that generates the sequence.

Tags

CCSS.5.OA.B.3