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GEOMETRY Conditional Statements Day 1 ENTRY TASK • What is the hypothesis of this statement: • If two angles are vertical, then they share a vertex. • What is the conclusion of this statement • If a woman is Hungarian, then she is European Learning Targets • I understand what a conditional statement is • I understand the parts of a conditional statement • I can find the truth value of a conditional statement Success Criteria • I can analyze a conditional statement and state the truth value. • What is a conditional statement? • An if-then statement What is the hypothesis of this statement? What is the conclusion of this statement? If a shape has three sides, then it is a triangle. SYMBOLS • We use symbols to represent different parts of logical statements: • For an if-then conditional statement we use 𝒑 to represent the hypothesis and 𝒒 to represent the conclusion. • To signify that it is a conditional statement we say: 𝑝 →𝑞 Which reads: If p then q, or p implies q VENN DIAGRAMS • We also use venn diagrams. • If we wanted to represent the conditional statement: • If you live in Kent, then you live in Washington. Residents of Washington Residents of Kent WRITING CONDITIONAL STATEMENTS • Vertical angles share a vertex. If two angles are vertical angles, then they share a vertex TRUTH VALUE • A statement is either true or false. • In order for a conditional statement to be true, every time the hypothesis is true, the conclusion is also true. Give the truth value of these statements: If a woman is Hungarian, then she is European. TRUE If a number is divisible by 3, then it is odd. FALSE Learning Targets • I understand what a conditional statement is • I understand the parts of a conditional statement • I can find the truth value of a conditional statement Success Criteria • I can analyze a conditional statement and state the truth value. EXIT TICKET On your computer or your phone open of Socrative. (google it) Click student log-in: CHOPSTICKS is your class ID Answer the first two questions on you own. The third question is the answer to this question. • What is the truth value of this statement If two angles form a linear pair, then they are supplementary. HOMEWORK • Pg 93 • #5, 7, 8, 10, 13, 17, 19 On SuccessNet watch the 3rd short videos for 2-2 Go to the To Do and do the short quiz
