Inductive and Deductive Reasoning

What does deductive reasoning use to form its arguments?

• patterns

• specific cases

• observed examples

• facts, definitions, accepted properties, and laws of logic

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

Tags

CCSS.5.OA.B.3

What is a conjecture?

• A statement believed to be true based on observations.
• An example which disproves an hypothesis.
• the performance of tricks that are seemingly magical

Complete the conjecture.  Think of examples to help.
The product of any two odd numbers is _____________

• even
• odd
• zero
• positive

Tags

CCSS.3.OA.D.9

Find the next term in the sequence:
A, D, G, J, _____

• L
• M
• P
• K

Tags

CCSS.HSF.BF.A.2

• 1
• 15
• 20
• 12

Tags

CCSS.5.OA.B.3

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.

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

• Invalid
• Valid
• Sammy is a Great Dane
• Sammy is really a cat.

Tags

CCSS.HSS.CP.A.5

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

• Law of Detachment

• Law of Syllogism

• Law of Contrapositive

• None