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Conditional Statements


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This is a lesson created for a geometry class introducing conditional statements, negations, and the converse.

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Conditional Statements

  1. 1. Conditional Statements
  2. 2. Warm Up <ul><li>Name a linear pair. </li></ul><ul><li>Name a pair of vertical angles. </li></ul><ul><li>Find the value of each variable. </li></ul><ul><li>Which popular game </li></ul><ul><li>show host is this? </li></ul>1 2 3 4 5 104° (12x + 20)° 9y - 5°
  3. 3. If-Then <ul><li>If today is Wednesday, then tomorrow is _________________. </li></ul><ul><li>If ____________________________, then today is Sunday. </li></ul><ul><li>If I make a bad grade in this class, then _____________________. </li></ul><ul><li>If __________________________, then Egyptian will have an awesome basketball team. </li></ul>
  4. 4. If-Then <ul><li>If-Then statements have two parts: if and then </li></ul><ul><li>The ___________ is called the hypothesis . It’s what “might” happen. </li></ul><ul><li>The ___________ is called the conclusion . It’s what will happen if the hypothesis comes true. </li></ul>
  5. 5. If-Then <ul><li>IF </li></ul><ul><li>THEN </li></ul>
  6. 6. Rewrite <ul><li>Rewrite the statement as an if-then statement. </li></ul><ul><li>I'm a beast when you turn me on </li></ul><ul><li>I’ve been roaming around, always looking down, at all I see </li></ul><ul><li>She wears high heels, I wear sneakers </li></ul><ul><li>I make it snow, I make it flurry </li></ul><ul><li>Sometimes love comes around and it knocks you down </li></ul>
  7. 7. Negation <ul><li>ne·ga·tion - n. </li></ul><ul><li>A denial, contradiction, or negative statement. </li></ul><ul><li>The opposite or absence of something regarded as actual, positive, or affirmative. </li></ul>
  8. 8. Negation <ul><li>Write the negation of the following statements. </li></ul><ul><li>Lil Wayne is ugly.  _________________________ </li></ul><ul><li>Bill Gates is poor.  _________________________ </li></ul><ul><li>Tamms is a big town.  ______________________ </li></ul><ul><li>Skateboarding is easy.  _____________________ </li></ul>
  10. 10. Converse <ul><li>The converse of an if-then statement means to flip the if and then pieces. </li></ul><ul><li>Statement: If the math test is easy, then I will get a good grade. </li></ul><ul><li>Converse : If ___________________________, </li></ul><ul><li>then _________________________________. </li></ul>
  11. 11. Converse <ul><li>Write the converse of each statement. </li></ul><ul><li>If you live in Olive Branch, then you live in Illinois. </li></ul><ul><li>If you are 16, then you have a driver’s license. </li></ul><ul><li>If you have Mrs. Sitton, then you are taking an English class. </li></ul><ul><li>If you are a girl, then you like pink. </li></ul>
  12. 12. Laws of Logic <ul><li>Law of Detachment </li></ul><ul><li>If the hypothesis is true, then the conclusion is true. </li></ul><ul><li>Example </li></ul><ul><li>If you wash the Ed Hardy shirt in hot water, it will shrink. </li></ul><ul><li>You washed the Ed Hardy shirt in hot water. </li></ul><ul><li>What can you conclude? </li></ul>
  13. 13. Laws of Logic <ul><li>Law of Syllogism </li></ul><ul><li>If p, then q. If q, then r.  If these two are true, </li></ul><ul><li>If p, then r.  Then this must be true. </li></ul><ul><li>Example </li></ul><ul><li>If Cory falls asleep in class, he will not do the homework. </li></ul><ul><li>If he doesn’t do the homework, his grade will be bad. </li></ul><ul><li>If Cory falls asleep in class, then ____________________ </li></ul>