Geometry: Inductive and Deductive Reasoning

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?

• It is not Friday
• It is Friday
• I will not get paid
• I will get paid

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

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.

Inductive Reasoning means...

• Guessing
• Testing and observing patterns to make conjectures
• Explaining why
• Ura nok seblu!

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

• Deductive
• Inductive

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

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

• Deductive
• Inductive 

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