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.7.1

CCSS.RL.8.1

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.7.1

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

Front

Provide an example of inductive reasoning.

Back

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

Tags

CCSS.RI.7.1

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

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.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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.RL.7.4

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