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Laws of Logic Unit 2
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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
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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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What is a myth? What are the ways we can disprove a myth?
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Deduction vs. Induction
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Deductive Reasoning The process of using logic to draw conclusions based on facts, definitions, and properties.
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Deductive vs. Inductive Reasoning
When a scholar chews gum, they receive a demerit. Paige is chewing gum in class so she receives a demerit. What kind of reasoning is represented here?
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Deductive vs. Inductive Reasoning
Think-Pair-Compare: Think silently about your answer to the question on the board. Speak with your partner in a level 1 voice, on topic. Be prepared to vote whole class.
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Deductive vs. Inductive Reasoning
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Deductive vs. Inductive Reasoning
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Deductive vs. Inductive Reasoning
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Deductive vs. Inductive Reasoning
If you have an opportunity to use both inductive and deductive reasoning to solve the same problem, which do you think would give you a more accurate answer?
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Logic Puzzles
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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
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Logic Puzzles Marie Parker Nancy Jerry Math Music History Art x check
Marie Parker Nancy Jerry Math x check X Music Check History Art
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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
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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
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Independent Practice Complete the worksheet silently and independently. If you have a question, silently walk over to the table
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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
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