Inductive and Deductive Reasoning

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 

• Deductive
• Inductive

It is dangerous to drive on icy streets.  The streets are icy now so it is dangerous to drive now. 

• Deductive
• Inductive

All observed houses on South Street have roofs that are falling apart.  Sherry lives on South Street.  Her roof is falling apart. 

• Deductive
• Inductive

Using deductive reasoning, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...

• Look out for the snowplows while driving to school.
• The big test will not be given today.
• The roads will be hard to drive on.
• You should call the school to see if school is canceled.

IF 3...6...9...12...
AND 24...27...30...?
THEN the next term is going to be 33

• Inductive
• Deductive

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

IF All even numbers are divisible by 2
AND 28 is even
THEN 28 is divisible by 2

• Inductive
• Deductive

All chickens that we have seen have been brown; so, all chickens are brown. 

• Deductive
• Inductive

Inductive Reasoning means...

• Guessing without any information

• Testing and observing patterns to make conjectures

• Drawing conclusions from situations based on facts and definitions

• Sounding knowledgeable even when you are not

Tags

CCSS.HSS.ID.A.3

Deductive reasoning means...

• Guessing without any information

• Sounding knowledgeable even when you are not

• Testing and observing patterns to make conjectures

• Drawing conclusions from situations based on facts and definitions