Inductive Vs Deductive Reasoning Inductive Reasoning Definition Looking

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Inductive Vs. Deductive Reasoning

Inductive Vs. Deductive Reasoning

Inductive Reasoning �Definition: Looking for patterns and making conjectures (an unproven statement based on

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

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

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.

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

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 5 th grader got

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

Problem 4 �You are doing a geometry proof, and you are trying to justify

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