Inductive Vs. Deductive Reasoning

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Presentation transcript:

Inductive Vs. Deductive Reasoning

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

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

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.

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

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

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

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