The video tutorial explains the differences between inductive and deductive reasoning, highlighting their roles in geometry and logic. Inductive reasoning involves making generalizations based on observations, while deductive reasoning starts with a known rule to make conclusions. The tutorial provides examples to illustrate each type of reasoning, discussing their strengths and weaknesses. It also touches on the complexities and ambiguities inherent in reasoning, using gravity as an example to show how inductive reasoning can lead to widely accepted rules.

What are the two types of reasoning commonly used in geometry?

• Qualitative and Quantitative

• Inductive and Deductive

• Logical and Analytical

• Empirical and Theoretical

Which type of reasoning involves making assumptions based on observations?

• Logical

• Empirical

• Deductive

• Inductive

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CCSS.RI.6.8

CCSS.RI.7.8

CCSS.RI.8.8

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CCSS.RL.7.1

In deductive reasoning, what do you start with?

• A known rule or fact

• A question

• A hypothesis

• An observation

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CCSS.RI.7.1

CCSS.RI.7.8

CCSS.RI.8.8

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Why is inductive reasoning often considered weak?

• It relies on concrete rules

• It is not used in geometry

• It is based on assumptions from observations

• It is always incorrect

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CCSS.HSS.IC.B.3

If you observe that the first eight sodas in a cooler are 7up and assume the last two are also 7up, what type of reasoning is this?

• Deductive

• Empirical

• Logical

• Inductive

If you know that anyone who is 18 years old can vote and you know Polina is 18, what type of reasoning concludes that Polina can vote?

• Deductive

• Inductive

• Empirical

• Logical

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CCSS.RI.6.1

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

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What type of reasoning is used when you assume you will have a good game because you went to bed at 9:00 PM?

• Deductive

• Logical

• Inductive

• Empirical

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CCSS.HSS.ID.C.9

What type of reasoning is illustrated by the example of throwing a baseball up and assuming it will come down due to gravity?

• Inductive

• Logical

• Empirical

• Deductive

How was the rule of gravity proven over time?

• By empirical reasoning

• By deductive reasoning

• By logical reasoning

• By inductive reasoning

What is the key difference between inductive and deductive reasoning?

• Deductive reasoning is weaker than inductive reasoning

• Inductive reasoning starts with observations, while deductive reasoning starts with rules

• Deductive reasoning is based on observations

• Inductive reasoning is always correct

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CCSS.RI.6.8

CCSS.RI.7.1

CCSS.RI.7.8

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CCSS.RL.6.1