Who's the Robber?. Analyzing and creating conditional statements. Who’s the Robber?. We are going to create a courtroom scenario in which the jury is to determine who robbed a bank. We need someone to play the parts of:
Analyzing and creating conditional statements
We are going to create a courtroom scenario in which the jury
is to determine who robbed a bank. We need someone to
play the parts of:
…the remainder of the class is the jury
Members of the jury: You’re job is to determine whether
Courtney Smith robbed the bank. In order to do this, listen to
the testimony. Draw the following chart on your paper to
help you determine if Courtney is the robber.
Members of the Jury:
Explain the reasoning used to determine which person drove
each color car.
The statements that you used to draw your conclusions are
called CONDITIONAL STATEMENTS, and this is what we
are talking about today!
Hypothesis: The part after ______
Conclusion: The part after _______
An IF-THEN statement with two parts, an hypothesis and a conclusion.
CONDITIONAL: ALL panthers are cats
CONDITIONAL: The sum of 2 odd integers is even.
If an animal is a panther, then it is a cat.
If two integers are odd, then their sum is even.
Write each statement as an If-Then Statement.
1. Congruent segments are segments that have equal lengths.
2. An equilateral triangle consists of three congruent angles and three equal sides.
If segments are congruent, then the segments have equal lengths.
If a polygon is an equilateral triangle, then it has 3 congruent angles and 3 equal sides.
Underline the hypothesis and circle the conclusion of each conditional statement. (Think of how you’d write it in IF-THEN form)
3. VW = XY implies VW XY
4. K is the midpoint of JL if JK = KL
5. Mr. Scroggins sings when all his students get an A on the test.
6. People who live in Texas, live in the US..
A specific case for which the conjecture is false.
Provide a counterexample to disprove the statement.
7. If Rachel is 16 years old, then she has obtained her driver’s license.
8. If a number is divisible by 4 then it is divisible by 6.
Maybe she didn’t pass the test
16 is divisible by 4 but not 6
Switch the hypothesis and conclusion.
Negate the hypothesis and conclusion.
Write the converse and then negate the hypothesis and conclusion.
If p, then q
If it is a rose, then it is a flower.
If NOT p, then NOT q
~ p ~q
If it is NOT a rose, then it is NOT a flower.
If q, then p
If it is a flower, then it is a rose.
If NOT q, then NOT p
“the flip nots”
If it is NOT a flower, then it is NOT a rose.
The Conditional and Contrapositive are related – if one is true, they are both true. The Inverse and Converse are related – if one is true, they are both true or if one is false, they are both false!!