1a)I can identify the hypothesis and the conclusion of a conditional

1b)I can determine if a conditional is true or false

1c)I can write the converse of a conditional

A statement in the if-then format.

Conditional statements are often called conditionals for short.

Example:If a shape has four equal sides, then it’s a

square.

To determine if a conditional is true or false you have to use all of your math knowledge.

1st: Read the conditional 2nd: Determine whether or not the if and then parts

make the statement true or false. HINT: If one part does not make the other part true

then it’s a false statement. Lets practice…

Determine if these conditionals are true or false.

1. If a shape has four 90° angles, then it has to be a rectangle.1. False: Because it could be a square too

2. If an integer is negative, then it is less than zero.2. True: because any number less than zero is a negative

number. Think of a number line.

What’s a converse?A statement where the hypothesis and conclusion are

reversed. The conditional statement "If this then that" becomes "If

that then this“

Lets use our favorite example... Here is our conditional:

If a shape has four equal sides, then it’s a square.

Now here is our converse:If a it’s a square, then it has for equal sides.

When writing converses they canChange a false conditional to a true

conditional.Change a true conditional to a false

conditionalCan keep the conditional still true or false

Write the converse for these conditionals:

1. If a shape has four 90° angles, then it has to be a rectangle.1. If it’s a rectangle, then is has four 90° angles.

○ Notice now how after writing this converse it now makes it a true statement.

2. If an integer is negative, then it is less than zero.2. If an integer is less than zero, then it’s negative.

○ This statement is still true even after we changed it.