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Presentation transcript:

MAKE SURE YOUR ASSIGNMENTS AND ASSIGNMENTS PAGE IS ON YOUR DESK. Quietly begin working on the warm- up.

INDUCTIVE REASONING  Reasoning that uses a number of specific examples to arrive at a conclusion.  DEFINITION IN YOUR OWN WORDS

CONJECTURE  Concluding statement reached using inductive reasoning  DEFINITION IN YOUR OWN WORDS

EXAMPLE

COUNTEREXAMPLE  A false example that proves a conjecture is not true  DEFINITION IN YOUR OWN WORDS

EXAMPLE  If n is a prime number, then n + 1 is not prime.

EXAMPLE  If the area of a rectangle is 20 square meters, then the length is 10 meters and the width is 2 meters.

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

EXAMPLE p: A rectangle is a quadrilateral.  p: A rectangle is not a quadrilateral.

COMPOUND STATEMENT  2 or more statements joined by the word and or or.

TRUTH TABLE  Organize truth values of statements Negation (  ) p pp TF FT pq TT T TF F FT F FF F pq TT T TF T FT T FF F

VENN DIAGRAM pq r

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?