inductive & Deductive Reasoning

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What is Inductive Reasoning?

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Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or observations. It involves looking for patterns and making generalizations.

Tags

CCSS.HSS.IC.B.3

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What is Deductive Reasoning?

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Deductive reasoning is a logical process where a conclusion is based on the concordance of multiple premises that are generally assumed to be true. It starts with a general statement and examines the possibilities to reach a specific, logical conclusion.

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Example of Inductive Reasoning: If Jimmy named his first child Thing1 and his second child Thing2, what might he name his third child?

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Inductive reasoning suggests he might name his third child Thing3 based on the pattern observed.

Tags

CCSS.HSS.IC.B.3

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Example of Deductive Reasoning: If it is Friday, then I will get paid. It is Friday. What can we conclude?

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We can conclude that I will get paid.

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What is a key characteristic of Inductive Reasoning?

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Inductive reasoning often leads to conclusions that are probable but not guaranteed to be true.

Tags

CCSS.HSS.IC.B.3

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What is a key characteristic of Deductive Reasoning?

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Deductive reasoning leads to conclusions that are logically certain, provided the premises are true.

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Identify the reasoning: 'Obtuse angles are greater than 90 degrees. This angle is 110 degrees, so it is obtuse.'

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This is an example of Deductive Reasoning.

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CCSS.7.G.B.5

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Identify the reasoning: 'It is dangerous to drive on icy streets. The streets are icy now, so it is dangerous to drive now.'

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This is an example of Deductive Reasoning.

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What is a common use of Inductive Reasoning in everyday life?

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Inductive reasoning is often used in scientific research to form hypotheses based on observed data.

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What is a common use of Deductive Reasoning in mathematics?

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Deductive reasoning is used to prove theorems and solve problems by applying established rules and definitions.