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Chapter 2 Section 2-1: Conditional Statements
2.01 Use logic and deductive reasoning to draw conclusions, and solve problems.
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Essential Questions How do you write a conditional statement in if-then form? 2) How are the converse, inverse, and contrapositive related to the conditional?
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Homework Answers P 65: 1) D 2) G 3) B 4) H 5) B 6) I 7) B 8) H 9) 61 ½ in. 10) 756 sq. in. 11) 207 in. 12) 2 ¼ in. Complete: Check skills, p 68 (all)
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conditional (statement)
an if-then statement p is the hypothesis, q is the conclusion If p, then q. p implies q. p only if q. q if p.
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converse a statement in which the hypothesis and conclusion are interchanged. Conditional: If p, then q. Converse: If q, then p.
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inverse If not p, then not q.
(A negation of the conditional statement.)
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contrapositive If not q, then not p.
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truth value The truth value of a conditional statement is a function of the truth values of its hypothesis and its conclusions. The only way a conditional can be false is if its hypothesis is true and its conclusion is false. This fact forms the basis for using a counterexample to disprove a conjecture.
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Review What is counterexample? What are the 5 Postulates?
What are the 3 basic theorems?
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Worksheet 2-1 Together: # 1-31, odds & 1-9 odd under p 267 Individually: # 2-32, evens & p. 267 (2 – 8 even) Practice with Conditionals With partner do 2 – 22 evens. Individually: do odds (1 – 23)
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Different words/ phrases that may be used for if and then
Implies Only if Together: Additional Practice with conditional statements worksheet
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Summarize / Homework Standardized Test Prep: p 74 (64 – 67) Pages 269 – 270 (42 - 45)
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