Laws of Logic Unit 2.

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Presentation transcript:

Laws of Logic Unit 2

Do Now Identify the hypothesis and conclusion of each conditional The quotient will be positive if the two numbers being multiplied are negative Analyze the truth value of the conditional or biconditional statement If x is a number, then the absolute value of x > 0 X2 = 25 if x = 5 Write a definition for inductive reasoning

Objectives SWBAT use deductive reasoning to verify conjectures SWBAT differentiate between inductive and deductive reasoning SWBAT apply the Law of Detachment, Law of Contrapositive, and Law of Syllogism to verify conjectures

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Deductive vs. Inductive Reasoning

Deductive vs. Inductive Reasoning

Deductive vs. Inductive Reasoning

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Logic Puzzles

Logic Puzzles Organize your thoughts using a table. If you know something is not true, place an X in the box. If you determine a relationship is true, place a check and place Xs in the rest of both the row and column. Marie Parker Nancy Jerry Math Music History Art

Logic Puzzles Marie Parker Nancy Jerry Math Music History Art x check Marie Parker Nancy Jerry Math x check X Music Check History Art

Logic Puzzles – now you try! Bonnie, Cally, Daphne, and Fiona own a bird, cat, dog, and fish. No girl has a type of pet that begins with the same letter as her name. Bonnie is allergic to animal fur. Daphne feeds Fiona’s bird when Fiona is away. Determine who owns what animal. Bonnie Cally Daphne Fiona Bird Cat Dog Fish

Logic Puzzles Bonnie, Cally, Daphne, and Fiona own a bird, cat, dog, and fish. No girl has a type of pet that begins with the same letter as her name. Bonnie is allergic to animal fur. Daphne feeds Fiona’s bird when Fiona is away. Determine who owns what animal. Bonnie Cally Daphne Fiona Bird X x Check Cat Dog Fish

Independent Practice Complete the worksheet silently and independently. If you have a question, silently walk over to the table

Let’s wrap this up Deductive reasoning begins with a rule and tries to create more logical conclusions from it. It is based on facts, definitions, and properties Recall that inductive reasoning is based on patterns and observations