1. Just write down today’s question…
UNIT QUESTION: How do we graph functions, and what can be done to change the way they look?
Standard: MM1A1
Today’s Question:
What is the converse of a conditional statement?
Standard: MM1G2a, MM1G2b

2. Conditional Statements
Called if-then statements.
Hypothesis- The part following if.
Conclusion- The part following then.
* Do not include if and then in the hypothesis and conclusion.

3. Hypothesis and Conclusion
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4. If it is Saturday, then Elise plays soccer.
Try These
If it is Saturday, then Elise plays soccer.
Hypothesis-
Conclusion-
If points are collinear, then they lie on the same line.
it is Saturday
Elise plays soccer
points are collinear
they lie on the same line
Listen to conditionals.

5. Conditional Statements
Converse: Switch the hypothesis and conclusion.
Inverse: Negate hypothesis and conclusion.
Contrapositive: Switch and negate both the hypothesis and conclusion. +

6. Converse
The converse of a conditional statement is formed by switching the hypothesis and the conclusion in the conditional.
Conditional- If a figure is a triangle, then it has three angles.
Converse- If a figure has three angles, then it is a triangle.

7. * The converse does not have to be true.
Conditional- If a figure is a square, then it has four sides.
Converse- If a figure has four sides, then it is a square.
* Not all four sided figures are squares. Rectangles also have four sides.

8. Rewrite the statement as a conditional statement, then find the converse.
All members of Congress are U.S. citizens.
Conditional-
Converse-
If you are a member of Congress, then you are a U.S. citizen.
If you are a U.S. citizen, then you are a member of Congress.

9. Conditional- If a figure is a triangle, then it has three angles.
Inverse
The inverse of a conditional statement is formed by negating both the hypothesis and the conclusion in the conditional
(Add “NOT”)
Conditional- If a figure is a triangle, then it has three angles.
Inverse- If a figure is not a triangle, then it does not have three angles.

10. (SWITCH the order and add NOT)
Contrapositive
The contrapositive of a conditional statement is formed by switching and negating both the hypothesis and the conclusion.
(SWITCH the order and add NOT)
Conditional- If a figure is a triangle, then it has three angles.
Contrapositive- If it does not have three angles, then a figure is not a triangle.

11. If a figure has five sides, then it is a pentagon.
Try this
From the following conditional statement, give the
Hypothesis
Conclusion
Converse
Inverse
Contrapositive
If a figure has five sides, then it is a pentagon.

12. Truth Value
Decide whether the statement is true or false. If false, give a counterexample as to why it’s false.
Example:
If you are a basketball player, then you are an athlete.
Converse:
Inverse:
Contrapositive:
False, not all athletes play basketball. Could play baseball, golf, tennis, swim, etc.
False, even if you don’t play basketball, you can still be an athlete.
Again, could play baseball, golf, tennis, swim, etc.
True

13. Homework
Extra credit project: