Objective Understand the difference between inductive and deductive reasoning.

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Presentation transcript:

Objective Understand the difference between inductive and deductive reasoning.

Vocabulary deductive reasoning

REMEMBER….. Inductive reasoning is the process of reasoning that a rule or statement is true because specific cases are true. You may use inductive reasoning to draw a conclusion from a pattern. How does It apply to Geometry? Used to form a hypothesis which we can test

Deductive reasoning is the process of using logic to draw conclusions from given facts, definitions, and properties. How does It apply to Geometry? Deductive reasoning is the way conclusions are drawn in geometric proofs.

VS Inductive Reasoning Deductive Reasoning Uses specific examples to make a general “rule” Finding patterns or stereotypes My Last year’s Math teacher is awesome. My Math teacher of this year is awesome. Therefore, all GR Math teachers are awesome. 10, 20, 30, 40, 50… Using the pattern, the rule would be add 10 and the next number would be 50 Takes a general rule and uses it to make a more specific example Drawing conclusions from previous known facts & definitions Quadrilaterals have four sides therefore, a square is a quadrilateral.

Example 1 Is the conclusion a result of inductive or deductive reasoning? There is a myth that the Great Wall of China is the only man-made object visible from the Moon. The Great Wall is barely visible in photographs taken from 180 miles above Earth. The Moon is about 237,000 miles from Earth. Therefore, the myth cannot be true. The conclusion is based on logical reasoning from scientific research. It is a result of deductive reasoning.

Example 2 There is a myth that an eelskin wallet will demagnetize credit cards because the skin of the electric eels used to make the wallet holds an electric charge. However, eelskin products are not made from electric eels. Therefore, the myth cannot be true. Is this conclusion a result of inductive or deductive reasoning? The conclusion is based on logical reasoning from scientific research. It is a result of deductive reasoning.

Inductive Vs. Deductive Check it out Inductive Vs. Deductive I saw all students parked illegally got tickets, Joe parked illegally. Therefore, Joe will get a ticket. When I study hard, I will get a good grade. When I get a good grade, My parents are happy. When I study hard, my parents are happy. Ms Zhang gave out chocolate yesterday. She gave out chocolate today. I think she will give out chocolate tomorrow too.

Inductive vs. Deductive Check it out Inductive vs. Deductive The Ridger's Basketball Team scored over 75 points in each of the ten straight games. The newspaper predicts they will score more than 75 points tonight. 3,6,9,12,15…The next item based on the pattern will be 18. Two angles are supplementary, One of the angles is 80 degrees so the other angle must be 100 degree.