Unit 4 Logic and Reasoning Review

You take 3 things and add them to 5 more things and count that you have 8 things. You repeat this several time and conclude that 3 + 5 = 8

• Deductive

• Inductive

Tags

CCSS.3.OA.D.9

You know that between two points there is exactly one line. You have two points, so you conclude you must have one line between them.

• Deductive

• Inductive

Tags

CCSS.HSG.CO.A.1

You know that your phone battery is low. It suddenly shuts off. You conclude that your phone must have died.

• Deductive

• Inductive

Tags

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.1

CCSS.RI.8.8

Using postulate theorems and definitions to draw conclusions.

• Deductive

• Inductive

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.CO.C.10

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.5

Using specific examples to reach a general conclusion.

• Deductive

• Inductive

Tags

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.1

CCSS.RI.8.8

You know that if lines are parallel then alternate interior angles are equal. Your lines are parallel so you conclude that your alternate interior angles are equal.

• Deductive

• Inductive

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

The sum of the squares of the sides of a triangle is equal to the square of the third side.  You conclude that the triangle must be a right triangle.

• Deductive

• Inductive

Tags

CCSS.8.G.B.8

• Deductive

• Inductive

Tags

CCSS.4.MD.C.7

Find a counterexample to the following conditional:

If an odd integer is less than 10, then it is prime.

Answer explanation

9

Provide a counterexample to the following conditional:

If you play a sport with a ball and a racket, then you play tennis.

Answer explanation

Racquetball, squash, badminton, ping pong etc.

Tags

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1