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MAKE SURE YOUR ASSIGNMENTS AND ASSIGNMENTS PAGE IS ON YOUR DESK. Quietly begin working on the warm- up.
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INDUCTIVE REASONING Reasoning that uses a number of specific examples to arrive at a conclusion. DEFINITION IN YOUR OWN WORDS
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CONJECTURE Concluding statement reached using inductive reasoning DEFINITION IN YOUR OWN WORDS
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EXAMPLE
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COUNTEREXAMPLE A false example that proves a conjecture is not true DEFINITION IN YOUR OWN WORDS
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EXAMPLE If n is a prime number, then n + 1 is not prime.
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EXAMPLE If the area of a rectangle is 20 square meters, then the length is 10 meters and the width is 2 meters.
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STATEMENT sentence that is either true or false; usually represented by p or q. TRUTH VALUE The truth or falsity of a statement NEGATION ( ) Statement has opposite meaning and truth value
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EXAMPLE p: A rectangle is a quadrilateral. p: A rectangle is not a quadrilateral.
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COMPOUND STATEMENT 2 or more statements joined by the word and or or.
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TRUTH TABLE Organize truth values of statements Negation ( ) p pp TF FT pq TT T TF F FT F FF F pq TT T TF T FT T FF F
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VENN DIAGRAM pq r
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EXAMPLE The Venn diagram shows the number of graduates last year who did or did not attend their junior or senior prom. How many attended senior but not junior prom? How many attended both junior and senior prom? How many graduates did not attend either prom? How many students graduated last year? 8525 37 123
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