1. Inductive Vs. Deductive Reasoning

2. Inductive Reasoning
Definition: Looking for patterns and making conjectures (an unproven statement based on observations)
Specific to General
Arguments based on experience or observation
Key Words: Observed, Experiment, Noticed, Pattern, Conjecture

3. Deductive Reasoning
Definition: Uses facts, definitions, and accepted properties in logical order to write a logical argument.
General to Specific
Arguments based on laws, rules, or other widely accepted principles

4. Example
Logan: I've noticed previously that every time I kick a ball up, it comes back down, so I guess this next time when I kick it up, it will come back down, too.
Tynan: That's Newton's Law. Everything that goes up must come down. And so, if you kick the ball up, it must come down.

5. Problem 1
2, 4, 6, 8, and 10 are all divisible by 2. All even numbers all divisible by 2.
Inductive Reasoning

6. Problem 2
After measuring and recording several different cans of sodas, a scientist tries to come up with a relationship between the volume and the surface area of the cans.
Inductive reasoning

7. Problem 3
After applying PEMDAS to a given problem, the 5th grader got an answer of 5.
Deductive Reasoning

8. Problem 4
You are doing a geometry proof, and you are trying to justify the 2nd step.
Deductive Reasoning