Embedded Files
DO NOW
DO NOW
Assume this bumper sticker is true. Are the following statements true or false?
If you are too close, then you can read this.
If you cannot read this, then you are not too close.
If you are not too close, then you cannot read this.
LEARNING TARGET
LEARNING TARGET
I can identify the converse, inverse, and contrapositive of a conditional statement, and determine whether each is true or false.
I can identify the converse, inverse, and contrapositive of a conditional statement, and determine whether each is true or false.
I DO
I DO
What is a conditional statement?
It's an if-then statement (such as IF you can read then, THEN you're too close).
The statement following the "if" is called the "hypothesis" (such as "You can read this.")
The statement following the "then" is called the "conclusion" (such as "You are too close.")
What are some examples of conditional statements that are true? Not true?
What are the converse, inverse, and contrapositive?
Let's try some examples:
For each example, identify the hypothesis and conclusion, identify the related conditionals, and determine if each is true. If one is false, find a counter-example.
If you are a teacher, then you love math.
Violinists are musicians.
If two line segments are congruent, then they are equal.
A couple of notes:
If the conditional is true, the contrapositive is always true. If the conditional is false, the contrapositive is always false.
If the converse is true, the inverse is always true. If the converse is false, the inverse is always false.
WE DO
WE DO
On a piece of paper, write down a conditional statement that is true about your partner (be nice!)
On a piece of paper, write down a conditional statement that is true about your partner (be nice!)
Trade papers with your partner. For their statement, write the converse, inverse, and contrapositive and determine the truth value of each. If a statement is false, provide a counter-example.
YOU DO
YOU DO
Page updated
Report abuse