Inductive and Deductive Reasoning Review

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.

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

• Inductive
• Deductive

Tags

CCSS.5.OA.B.3

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

• Inductive
• Deductive

IF Jimmy named his first child Thing One

AND his second child Thing Two

THEN He will name his third child Thing Three

• Inductive

• Deductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RL.11-12.1

Using the Law of Detachment, draw a conclusion based on the statements given:

If a plane flies to China, then it will be a long flight. Sarah bought a ticket to China.

• Sarah will get stuck in the security line.

• Sarah will have a long flight.

• Sarah will need to bring a neck pillow and headphones.

• Sarah will get stuck with a middle seat on the plane.

Tags

CCSS.HSS.CP.A.5

Using the Law of Syllogism, write a new conditional statement that follows from the pair of true statements.

If you study, then you will pass the test. If you pass the test, then you will pass the class.

• If you study, then you will pass the class.

• If you pass the test, then you should study.

• If you pass the class, then you will pass the test.

• If you study, then you will pass the test.

If this wind keeps up, then we will lose some trees.

We lose some trees.

• No valid conclusion possible

• Yes, using the Law of Detachment

• Yes, using the Law of Syllogism

If a person is a librarian, then they read books.

If a person is a friend of Dana’s, then they read books.

• No valid conclusion possible

• Yes, using the Law of Detachment

• Yes, using the Law of Syllogism

• 1
• 15
• 20
• 12

Tags

CCSS.3.OA.A.3

CCSS.3.OA.D.9