Inductive and Deductive Reasoning

Since all humans are mortal, and I am human, then I am mortal. 

• Deductive
• Inductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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

• Deductive
• Inductive

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

• Deductive
• Inductive

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

• Deductive
• Inductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded. 

• Deductive
• Inductive 

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Obtuse angles are greater than 90 degrees.  This angle is 110 degrees, so it is obtuse. 

• Deductive
• Inductive

Tags

CCSS.4.G.A.1

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.

What can be concluded from the following statements?  
If Mike rakes leaves, then he bags them .
If Mike bags the leaves then he mows the lawn.

• If Mike mows the lawn then he bags the leaves.
• If Mike bags the leaves then he rakes.
• If Mike does not mow the lawn, then he did not rake the leaves.
• If Mike mows the lawn then he bags the leaves.

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.  
If the volume of the stereo is loud, then the neighbors will complain.

• If the neighbors complain, then the stereo will be loud.
• If the stereo is on, then the neighbors will complain.
• If the stereo is volume is loud, then the stereo is on.
• If the stereo is on, then the volume is loud.