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Bell Ringer   - Identify the hypothesis and conclusion. Then write the conditional statement. ,[object Object],[object Object],[object Object]
Introduction ,[object Object]
"Then you should say what you mean." the March Hare went on. "I do," Alice hastily replied; "at least -- at least I mean what I say -- that's the same thing, you know.  " "Not the same thing a bit!" said the Hatter, "Why, you might just as well say that 'I see what I eat' is the same thing as 'I eat what I see'!"
"You might just as well say," added the March Hare, "that 'I like what I get' is the same thing as 'I get what I like'!“ "You might just as well say," added the Dormouse, who seemed to be talking in his sleep, "that 'I breathe when I sleep' is the same thing as 'I sleep when I breathe'!“ "It is the same thing with you," said the Hatter, and here the conversation dropped, and the party sat silent for a minute.
2.1 Conditional Statements ( quick review! ) ,[object Object],conditional statement “ if-then” ,[object Object],[object Object],[object Object],hypothesis two parts “ if” conclusion “ then”
2.1 Conditional Statements ( quick review! ) 3.   Let P represent the Hypothesis  Let Q represent the Conclusion So we can also write… If p, then q. (we will use this later)
[object Object],[object Object],[object Object],[object Object]
2.1 Conditional Statements ,[object Object],[object Object],converse (Conditional) If  I am sleeping , then  I am   breathing . (Converse)   If I am breathing, then I am    sleeping.
2.1 Conditional Statements ,[object Object],[object Object],inverse (Conditional) If  I am sleeping , then  I am   breathing . (Converse)   If I am  not  sleeping, then    I am  not  breathing.
2.1 Conditional Statements ,[object Object],[object Object],[object Object],[object Object],contrapositive
2.1 Conditional Statements If I am sleeping, then I am breathing. If I am  not  sleeping, then I am  not  breathing. If I am breathing, then I am sleeping. If I am  not  breathing, then I am  not  sleeping. if…then  insert not switch switch and insert not   Conditional (  ) Inverse (  ) Converse (  ) Contrapositive ( )
2.1 Conditional Statements If p, then q. If ~p, then ~q. If q then p If ~q, then ~p. if…then  insert not switch switch and insert not   Conditional (  ) Inverse (  ) Converse (  ) Contrapositive ( )
Practice ,[object Object],[object Object]
1.  Identify the underlined portion of the conditional statement. ,[object Object],[object Object],[object Object]
2.  Identify the underlined portion of the conditional statement. ,[object Object],[object Object],[object Object]
3.  Identify the underlined portion of the conditional statement. ,[object Object],[object Object],[object Object]
4.  Identify the converse for  the given conditional. ,[object Object],[object Object],[object Object],[object Object]
5.  Identify the inverse for the  given conditional. ,[object Object],[object Object],[object Object],[object Object]
 

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TechMathI - 2.3

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  • 3. "Then you should say what you mean." the March Hare went on. "I do," Alice hastily replied; "at least -- at least I mean what I say -- that's the same thing, you know. " "Not the same thing a bit!" said the Hatter, "Why, you might just as well say that 'I see what I eat' is the same thing as 'I eat what I see'!"
  • 4. "You might just as well say," added the March Hare, "that 'I like what I get' is the same thing as 'I get what I like'!“ "You might just as well say," added the Dormouse, who seemed to be talking in his sleep, "that 'I breathe when I sleep' is the same thing as 'I sleep when I breathe'!“ "It is the same thing with you," said the Hatter, and here the conversation dropped, and the party sat silent for a minute.
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  • 6. 2.1 Conditional Statements ( quick review! ) 3. Let P represent the Hypothesis Let Q represent the Conclusion So we can also write… If p, then q. (we will use this later)
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  • 11. 2.1 Conditional Statements If I am sleeping, then I am breathing. If I am not sleeping, then I am not breathing. If I am breathing, then I am sleeping. If I am not breathing, then I am not sleeping. if…then insert not switch switch and insert not Conditional ( ) Inverse ( ) Converse ( ) Contrapositive ( )
  • 12. 2.1 Conditional Statements If p, then q. If ~p, then ~q. If q then p If ~q, then ~p. if…then insert not switch switch and insert not Conditional ( ) Inverse ( ) Converse ( ) Contrapositive ( )
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