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# Framing Routine

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### Framing Routine

1. 1. The FRAME Essential details Essential details Essential details Essential details Essential details Key Topic is about . . . So What? (What’s important to understand about this?) Main Idea Main Idea Main Idea Main Idea Main Idea Statement Biconditional Statement Converse Inverse Contrapositive If p, then q. p --> q Ex: If an object is a square, it is also a polygon (true). p if and only if q. p <--> q If q, then p. q --> p Ex: If an object is a polygon, it is also a square (false). If not p, then not q. ~p --> ~q Ex: If an object is not a square, it is not a polygon (false). If not q, then not p. ~q --> ~p Ex: If an object is not a polygon, it is not a square (true). True if converse statement is true. True if original statement is true. Logical Arguments Ex: If alternate interior angles are equal, then the lines are parallel (true). Both the statement and its converse must be true. Different forms of arguments used in logical reasoning. The statement, converse, inverse and contrapositive are all related, and any one can be used to find any one of the others. A biconditional statement is a type of statement that can be used to write definitions, to solve equations and to state equivalences. VA SOL G.1 a & b
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