Age and Number Problem/Inductive and Deductive Reasoning

The Giants have lost their last seven games. Thus, they will probably lose their next game.

What type of reasoning was used?

• Inductive

• Deductive

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 roads will be hard to drive on.

• The big test will not be given today.

• You should call the school to see if school is canceled.

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

• Inductive

• Deductive

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is a counterexample of this statement?

• If a polygon is a trapezoid, then it is a quadrilateral.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• A rectangle is also a quadrilateral.

Inductive Reasoning means...

• Guessing

• Explaining why

• Testing and observing patterns to make conjectures

• Adding numbers together

Using the statements:

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

• It is not Friday

• I will not get paid

• It is Friday

• I will get paid

How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50

• Subtract 2

• Subtract 4

• Subtract 3

• Add 3

What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27

• 18,23

• 17, 25

• 18, 24

• 17, 24

What is a conjecture?

• A statement believed to be true based on observations.

• the performance of tricks that are seemingly magical

• An example which disproves an hypothesis.

Inductive argument is a process of making a specific conclusion based on general premises.

• True

• False