Conditional Statements and Types of Reasoning
Presentation
•
Mathematics
•
8th Grade
•
Medium
+17
Standards-aligned
Rage Roble
Used 35+ times
FREE Resource
8 Slides • 18 Questions
1
February 21, 2023
2
Multiple Choice
Snakes are reptiles and reptiles are cold blooded. Therefore, snakes are cold blooded.
Deductive
Inductive
3
Multiple Choice
In the past, winter has always been cold in New York. Therefore, winter will be cold again this year.
Deductive
Inductive
4
Multiple Choice
Four out of five times, I beat Corey at pool and I'm going to play him tomorrow. So, I'll very likely win.
Inductive
Deductive
5
6
February 21, 2023
7
Transform a statement into an equivalent if- then statement.
Determine the inverse, converse, and contrapositive of an if-then statement.
Some text here about the topic of discussion
8
Multiple Choice
What is the condition of the given statement below?
If you will get good grades, then I'll buy you an ice cream.
You will get good grades.
I'll buy you an ice cream.
9
Multiple Choice
What is the condition of the given statement?
Jimmy will go to Orlando.
Jimmy goes on vacation.
Jimmy will go to Orlando.
Who is Jimmy?
10
Multiple Choice
What is the consequence to the given statement?
Clarkson will be the coolest.
Clarkson will not be the coolest.
Clarkson gives us Mountain Dew.
Clarkson will not give us Mountain Dew.
11
Open Ended
How do you get the condition and the consequence of the given statement?
12
Def'n.:
A conditional statement is a statement that can be written as an if-then statement. That is,
“If _(HYPOTHESIS/CONDITION)_, then _(CONCLUSION/CONSEQUENCE)_.”
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13
Multiple Choice
Sally goes to the park.
Sally will fall off the swing.
Parks don't have swings that Sally goes to.
If Sally falls off the swing, she goes to the park.
14
Multiple Choice
You like fried chicken.
You only like fried chicken from KFC.
You like KFC.
You hate KFC.
15
REWRITING:
Conditional statements can be put into an “if-then” form to clarify which part is the hypothesis and which is the conclusion.
Method: Turn the subject into a hypothesis. Turn the predicate into a conclusion.
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16
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.
17
Multiple Choice
Rewrite the statement as a conditional statement.
"Vertical angles are congruent."
If vertical angles, then congruent.
If two angles are vertical, then they are congruent.
If two angles are cogruent, then they are vertical.
If two angles are not vertical, then they are congruent.
18
Multiple Choice
Considering the statements below, what happened to the hypothesis and conclusion?
Statement 1: If two angles are vertical, then they are congruent.
Statement 2: If two angles are congruent, then they are vertical.
switched
negated
interchanged and negated
19
Multiple Choice
Considering the statements below, what happened to the hypothesis and conclusion?
Statement 1: If two angles are vertical, then they are congruent.
Statement 2: If two angles are not vertical, then they are not congruent.
switched
negated
interchanged and negated
20
Multiple Choice
Considering the statements below, what happened to the hypothesis and conclusion?
Statement 1: If two angles are vertical, then they are congruent.
Statement 2: If two angles are not congruent, then they are not vertical.
switched
negated
interchanged and negated
21
Converse: Statement formed from a conditional statement by switching the hypothesis and conclusion.
Inverse: Statement formed from a conditional statement by negating both the hypothesis and conclusion.
Contrapositive: Statement formed from a conditional statement by switching and negating both the hypothesis and conclusion.
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22
Multiple Choice
If it isn't dark outside, then it is not night.
If it is night, then it is dark outside.
If it is not night, then it is not dark outside.
It is night.
23
Multiple Choice
If I do not have a Siberian Husky, then I do not have a dog.
If I have a dog, then I have a Siberian Husky.
If I do not have a dog, then I do not have a Siberian Husky.
If I do not have a Siberian Husky, then I have a dog.
24
Multiple Choice
If the measures of the angles are equal, then the angles are congruent.
If angles are not congruent, then the measures of the angles are not equal.
If the measures of the angles are not equal, then the angles are not congruent.
If the angles are not congruent, then the measure of the angles are equal.
25
Open Ended
What is your takeaway from our discussion today?
26
Transform a statement into an equivalent if- then statement.
Determine the inverse, converse, and contrapositive of an if-then statement.
Some text here about the topic of discussion
February 21, 2023
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