Converse, Inverse, Contrapositive
What is the inverse of " If you are thirsty, then you need water"?
What is " If you are not thirsty, then you don't need water".
What comes next? 1/6, 1/3, 2/3, 4/3, 8/3...
What is 16/3
What property is this? "If a=b, then b=a".
What is the Symmetric Property of Equality
Write a compound statement for each conjunction. Then find its truth value.
p: Mr Redding is a dad
q: A square has four right angles.
p ∧ q
What is "Join the statements with and: Mr. Redding is a dad and a square has four right angles. Both parts of the statement are true so the compound statement is true."
"If Aryan doesn't have an A, then he has an A+" is the ______ of " If Aryan has an A, then he doesn't have an A+"
What is Inverse
What is the converse of " If Varshney gets a 50 on this project, then he will be sad"?
What is " If Varshney is sad, then he got a 50 on this project".
What comes next? 81,27,9,3...
What is 1
What property is this? "a(b+c)= ab+ac"
What is the Distributive Property
Write a compound statement for each conjunction. Then find its truth value.
p: Mr. Redding is a dad
q: A Square has 3 sides
~p ∧ q
What is " ~p is the statement “Mr. Redding is a dad” Join ~p and q with the word and: Mr.Redding is not a dad and a square has 3 right angles. Both ~p and q are false. Therefore the compound statement is false."
What comes next? 32,16,8...
What is 4
What is the contrapositive of " If there is oil in another country, then America will invade it"?
What is " If America does not invade another country, then there is no oil in it".
What comes next? 1,3,6,10,15,21...
What is 28
What property is this? "a=a".
What is the Reflexive Property of Equality
Write a compound statement for each conjunction. Then find its truth value.
p: Elephants are Birds
q: A square has 2 Sides
~p v q
What is " ~p is the statement “Elephants are birds” Join ~p and q with the word or: Elephants are not birds and a square has 2 sides. ~p is true and q is false. Therefore the compound statement is true."
What property is this? If A=B and B=C then A=C
What is Transitive Property
"If I am eating, then I am eating pizza" is the ______ of " If I am eating pizza, I am eating"
What is Converse
What is a Conjecture?
What is a concluding statement reached when using inductive reasoning?
What property is this? "If a=b, then a+c=b+c".
What is the Addition Property of Equality
Write a compound statement for each conjunction. Then find its truth value.
p: Strawberries are healthy
q: A triangle has 2 sides
p v ~q
What is " ~q is the statement “A triangle has 2 sides” Join ~p and q with the word or: Strawberries are healthy or a triangle has 2 sides. p is true and ~q is true. Therefore the compound statement is true.'
What comes next? 2,4,6,8,10...
What is 12
"If I am sleeping, then I am in bed" is the ______ of " If I am not in bed, then I am not sleeping"
What is contrapositive
Write a conjecture that describes the pattern 1,7, 13, 19. Then use your conjecture to find the next item in the sequence.
What is " The next number is 6 more than the previous; 25"
What property is this? "If a=b, then a-c=b-c".
What is the Subbtration Property of Equality
Write a compound statement for each conjunction. Then find its truth value.
p: Bananas are yellow
q: Mr. Redding's last name is Redding
~p v q
What is "Join ~p and q with the word or: Bananas are yellow or Mr.Redding's last name is Redding. p is true and q is true. Therefore the compound statement is true."
What comes next? 10,6,3...
What is 1