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Learn about deductive reasoning and how to form conclusions based on given facts. Practice examples included. Homework assigned.
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Tue, Aug 28 Warm up:
Deductive reasoning- Forming conclusions based on facts. • Consider these statements: • 1. Plainfield has 4 high schools • 2. Every Plainfield High School has a type of cat for a mascot • 3. Plainfield North is one of the high schools in Plainfield • Based on these statements, what is a conclusion we could make based on deductive reasoning?
Deductive reasoning Examples • Consider these 3 statements: • All metal objects are sharp. • All scissors are made of metal. • Michael has a pair of scissors. • Which statement below is NOT true based on deductive reasoning… • A- Michael has a metal object • B- Michael has a sharp object • C- All scissors are sharp objects. • D- All sharp objects are metal
Another example • Consider these statements: • 1- All parallelograms have 4 sides • 2- All rectangles are parallelograms • 3- Basketball courts are in the shape of a rectangle • Which of the following statements is NOT necessarily true using deductive reasoning: • A- All rectangle have 4 sides • B- All basketball courts are parallelograms • C- All parallelograms are basketball courts