M4 Logic: Conditional Statements
Presentation
•
Mathematics
•
10th Grade
•
Medium
+8
Standards-aligned
Afton Murillo
Used 21+ times
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6 Slides • 10 Questions
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M4 Logic: Conditional Statements
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Statement
A declarative sentence that is TRUE or FALSE but NOT BOTH
sometimes called a "proposition"
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Conditional Statement
A way to decide whether a statement is true or false.
If P then Q
P⟶Q
P is called the Hypothesis, Q is called the conclusion.
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Conditional Statements example:
"If it is not raining, then Daisy is riding her bike"
Hypothesis will alway come after the word "IF". Hypothesis = It is not raining.
Conclusion will always come after the word "THEN". Conclusion = Daisy is riding her bike.
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Rewriting a statement in If then form
You give me 1000 baht. I will be your best friend.
Ans: If you give me 1000 baht, then I will be your best friend.
Hypothesis: You give me 1000 baht. Conclusion: I will be your best friend.
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Rewriting a statement in If then form
I bring my umbrella when it is raining.
Ans: If it is raining, then I will bring my umbrella.
Hypothesis = It is raining. Conclusion = I will bring my umbrella
This statement is in reverse. Think of what causes the situation.
It is the rain that will cause me to bring the umbrella not if I bring my umbrella it will rain.
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Multiple Choice
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Multiple Select
What are the two parts of a conditional statement? (check 2 boxes)
Hypothesis
Conclusion
Converse
Inverse
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Multiple Choice
p → q
if p then q
q then p
not p
not p then q
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Multiple Choice
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Multiple Choice
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Multiple Choice
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Multiple Choice
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Multiple Choice
Write the conclusion of the statement,
"If you are Anthony Rizzo, then you are a Chicago Cub."
You are Anthony Rizzo.
You are a Chicago Cub.
The Cubs are the best.
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Multiple Choice
Rewrite the statement as a conditional statement.
"All dolphins are mammals."
If a dolphin, then a mammal.
If an animal is a dolphin, then it is a mammal.
If an animal is a mammal, then it is a dolphin.
If an animal is not a mammal, then it is not a dolphin.
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Multiple Choice
Rewrite the statement as a conditional statement.
"The sum of the angles of a triangle is 180."
If the sum of the angles of a triangle, then 180.
If a figure is a triangle, then the sum of the angles is 180.
If a figure sums angles, then the triangle is 180.
M4 Logic: Conditional Statements
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