Conditionals
Write the hypothesis and conclusion of: If it snows, then school will be canceled.
Hypothesis- It snows
Conclusion- School is canceled.
What is the converse of If it rains, then the ground is wet?
If a ground is wet, then it rains.
Define "inverse" of a conditional.
The inverse negates both parts of a conditional.
Define "contrapositive" of a conditional.
The contrapositive switches and negates both parts.
What comes next?
23, 45, __, 89
67
Put this into if-then form: All birds have feathers.
If a shape is a square, then it is a rectangle.
Write the converse: If an angle measures 90 degrees, then it is a right number.
If an angle is a right angle, than is measures 90 degrees.
Write the inverse of If today is Saturday, then tomorrow is Sunday.
If today is not Saturday, then tomorrow is not Sunday.
Write the contrapositive of If it is summer, then the weather is warm.
If the weather is not warm, the it is not summer.
What comes next?
Conditional-> Converse -> Inverse -> ______
Contrapositive
Write a conditional for: All birds have feathers.
If an animal is a bird, then it has feathers.
True or False: The converse of every true condition is also true.
False (The converse is not always true)
Write the inverse of If a shape is a square, then it has 4 sides.
If a shape is not a square, then it does not have 4 sides.
Write the contrapositive of if x=3, then
x2 (x squared)=9.
If x2 does not egual 9, then x does not equal 3.
Square -> Rectangle -> Parallelogram -> __________
Quadrilateral
Identify if this conditional is true or false: If a number is divisible by 10, then it is divisible by 2.
True (any number divisible by 10 is also divisible by 2)
Give an example of a true conditional with a false converse.
Ex: If a shape is a square, then it has 4 sides. (True) Converse: If a shape has 4 sides, then it is a square.
Decide if this inverse is true or false: If a number is not even, then it is not devisable by 2.
True
True or False: a conditional and its contrapositives always share the same truth value.
True
1, 4, 9, 16, __
25
Create your own conditional using the topic of sports.
Ex: If a player earns a touchdown, then their team gets 6 points.
True or False: Write the converse of If a number is a multiple of 6, then it is even. Is it true?
Converse-> If a number is even, then it is a multiple of 6. (False: 4 is even but no a multiple of 6.)
Create your own conditional and its inverse.
Example: Conditional: If a person is a teenager, then they are under 20 years old. Inverse: If a person is not a teenager, then they are not under 20 years old.
Create a conditional in geometry and write its contrapositive.
Example: Conditional: If a triangle is equilateral, then all its sides are congruent. Contrapositive: If a triangle's sides are not all congruent, then it is not a equilateral.
1, 1, 2, 3, 5, 8,__
13