Inductive vs Deductive Reasoning

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

How many counters would come next?

• 5
• 7
• 9
• 11

Tags

CCSS.3.OA.D.9

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.

Continue the pattern: 48, 42, 36, 30, 24, _____, _____, _____

• 17, 10, 3

• 19, 14, 9

• 18 ,12 , 6

• 20,16, 12

Tags

CCSS.4.OA.C.5

What is the rule for the following pattern: 120, 105, 90, 75

• add 15

• subtract 15

• add 25

• subtract 25

Tags

CCSS.3.OA.D.9

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

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

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

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.

Which of the following statements is valid based on the given scenario?
If Jason plays basketball, then Steve sits on the bench.  
If Steve sits on the bench, then Ronald starts at center.  

• If Steve sits on the bench then Jason plays basketball.
• If Ronald starts at center then Jason plays basketball.
• If Steve sits the bench then Ronald does not start at center.
• If Jason plays basketball then Ronald starts at center.

Which statement is the converse of the given statement?

If you have been in a car accident, then your insurance will go up.

• If your insurance do not go up , then you have not been in a car accident.

• If you do not get in an accident, then your insurance will not go up.

• If your insurance goes up, then you have been in a car accident.

• If you have been in an accident, then your insurance will not go up.