
Conditional Statements
Presentation
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Medium
+10
Standards-aligned
Donald York
Used 218+ times
FREE Resource
7 Slides • 10 Questions
1
Conditional Statements
2
Logic and Conditional Statements
Conditional Statement:
p → q which means "if p then q"Hypothesis and Conclulsion
Counter-example
Negation
Converse , Inverse, Contrapositive
3
Multiple Choice
Rewrite the following conditional statement in if-then form: "All numbers divisible by 4 are also divisible by 2"
If a number is divisible by 4 then it is divisible by 2
If a number is divisible by 2 then it is divisible by 4
If a number is not divisible by 4 then it is divisible by 2
If there is a 4 then there is a 2
4
Multiple Choice
What symbolic form of a conditional statement mean 'If p then q ?
p→q
q→p
∼q→∼p
∼p→∼q
5
Hypothesis and Conclusion of a Conditional
Hypothesis follows the 'if'
Conclusion follows the 'then'
6
Multiple Choice
What is the hypothesis of the conditional?
You are an American citizen.
You have the right to vote.
You are not an American citizen.
You do not have the right to vote.
7
Multiple Choice
What is the Conclusion of the conditional?
You are an American citizen.
You have the right to vote.
You are not an American citizen.
You do not have the right to vote.
8
Counter-Example Examples
Preserves the Hypothesis but contradicts the Conclusion
9
Multiple Choice
If false, which is a counterexample?
It's True
My clothes are dry
I jumped in a pool
It is raining
10
Multiple Choice
If false, which is a counterexample?
It's True
∠E is obtuse
11
Multiple Choice
If false, which is a counterexample?
It's True
6
12
8
12
Negation
The opposite of a statement.
∼ is the symbol for negation.13
Multiple Choice
Which stands for "if not p then q" ?
∼p→q
∼p→∼q
p→q
p→∼q
14
Multiple Choice
What is the Negation of the statement: 'I went to the store' ?
I did not go to the store
I went to Shaws
I did not leave the house
I went home
15
Multiple Choice
What is the Negation of the inequality: x≥6 ?
x<6
x≤6
x>6
x≥6
16
Rearranging Conditionals
Converse
Inverse
Contrapositive
17
Complete the three examples shown...
Conditional Statements
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