If you are a twin, then you have a sibling. If you have a sibling, then you are a twin. If I am breathing, then I am sleeping. If I am sleeping, then I am breathing. 1 a. With your partner, create a definition of a conditional statement in your own words. Create your own conditional statement. c. Challenge! (yes, you have to try this.) Write a statement that is NOT a conditional statement. When you have written your definition, write it on the board. Come to a consensus – an “if,” “then” statement. _______________________________________________________________________________________ Notes: Term Definition Example An if….then…. statement If p, then q Have a student share their example Conditional Label hypothesis and conclusion from p q (ASSUME THE HYPOTHESIS IS TRUE) Converse Switch the p and q Have a student say the converse of Feet switching back the class example and forth q p Combine two statements with the same You live in Alaska if and only if you live Bi-conditional truth value using “if and only if” in the largest state. p q Introduce converse and fill in chart. 2. a. Write the converse of your statement from question 2a. b. Is a converse a conditional statement? Why or why not? 3. a. Which conditional and converse pairs from the game were both true?
If you are a twin, then you have a sibling. If you have a sibling, then you are a twin. If I am breathing, then I am sleeping. If I am sleeping, then I am breathing. 1 a. With your partner, create a definition of a conditional statement in your own words. Create your own conditional statement. c. Challenge! (yes, you have to try this.) Write a statement that is NOT a conditional statement. When you have written your definition, write it on the board. Come to a consensus – an “if,” “then” statement. _______________________________________________________________________________________ Notes: Term Definition Example Conditional An if….then…. statement If p, then q Label hypothesis and conclusion p q (ASSUME THE HYPOTHESIS IS TRUE) Have a student share their example from Converse Feet switching back and forth Switch the p and q q p Have a student say the converse of the class example Bi-conditional Combine two statements with the same truth value using “if and only if” p q You live in Alaska if and only if you live in the largest state. Introduce converse and fill in chart. 2. a. Write the converse of your statement from question 2a. b. Is a converse a conditional statement? Why or why not? 3. a. Which conditional and converse pairs from the game were both true?