Deductive and Inductive Reasoning

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.K.CC.B.4

CCSS.K.CC.B.5

CCSS.K.OA.A.1

CCSS.K.OA.A.2

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

CCSS.HSG.CO.C.9

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

• Deductive

• Inductive

Using postulate theorems and definitions to draw conclusions.

• Deductive

• Inductive

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.C.8

Using specific examples to reach a general conclusion.

• Deductive

• Inductive

Whenever you forget to feed your goldfish it dies. You conclude that if you don't feed your fish it will die.

• Deductive

• Inductive

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.C.9

You add us the interior angles of a bunch of quadrilaterals and get $360\degree$ every time.  You conclude that the sum of the interior angles of all quadrilaterals is  $360\degree$  

• Deductive

• Inductive

The pen you had in your backpack is missing.  You see your friend using a pen that looks like it.  You conclude that your friend stole your pen, and you will be mad at him until lunch.

• Deductive

• Inductive

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.HSG.SRT.B.4

CCSS.HSG.SRT.C.8