Conditional/Converse
Inductive vs. Deductive
Algebraic Proof
Contrapositive/Inverse
Don't Pick This One
100
Write this as a conditional statement: Tenth graders are in Geometry.
"If you are a tenth grader, then you are in Geometry."
100
Is the following inductive or deductive reasoning? Johnny is a bachelor. All bachelors are single. Therefore, Johnny is single.
Deductive Reasoning
100
What algebraic property belongs in the blank?
The Distributive Property
100
Write the Inverse:
If you like tennis, then you play on the tennis team.
If you don't like tennis, then you don't play on the tennis team.
100
Your team loses 100 points.
Too bad!
200
Write the converse of: "If it is a puppy, then it is small."
"If it is small, then it is a puppy."
200
Is the following inductive or deductive reasoning? Jennifer leaves for school at 7 am and is on time. Therefore, if Jennifer leaves for school at 7 am she will always be on time.
Inductive Reasoning
200
What algebraic property belongs in the blank?
The Division Property of Equality
200
Write the inverse:
If x is not odd, then 2x is even.
"If x is odd, then 2x is not even.
200
Your team loses 400 points.
Please don't pick this category.
300
Write as a conditional statement AND its converse: A line contains at least 2 points.
"If it is a line, then it contains at least 2 points." AND "If it contains at least 2 points, then it is a line."
300
Explain the difference between inductive and deductive reasoning.
Inductive: Patterns, creates conjectures.
Deductive: Facts, creates conclusions.
300
Given: -6n = 48
Prove that n = -8
300
Write the contrapositive:
If n doesn't have more than 2 factors, then n is prime.
If n is not prime, then n has more than 2 factors.
300
Your team loses 900 points.
Seriously, what did you think?
400
Can the following be written as a biconditional statement? "If it is raining, then clouds are in the sky."
No, because the converse is False.
400
Create a conclusion/conjecture: The Boulevard Diner always serves apple pie with vanilla ice cream. You order apple pie.
Was your reasoning inductive or deductive?
Deductive Reasoning, I will get vanilla ice cream.
400
Given: 3n + 1 = -5
Prove: n = -2
400
Write the contrapositive of the statement, and then decide the truth value of the original statement and its contrapositive:
"If x is even, then x + 1 is odd."
CONTRAPOSITIVE: "If x + 1 is not odd, then x is not even."
Both are true.
400
Your team loses 1,600 points.
500
Create an example of a statement that can be written biconditionally.
Answers May Vary.
500
Create a conclusion/conjecture: Sparzak drinks 12 gallons of chocolate milk in 3 weeks. In the following week, he will drink _____ gallons of chocolate milk.
Was your reasoning inductive or deductive?
Inductive Reasoning, 4 gallons.
500
Given: 3(4x - 1) - 2x = -43
Prove: x = -4
Teacher checks answer
500
How are the inverse and the contrapositive related to each other?
Inverse: ~h --> ~c
Contrapositive: ~c --> ~h
The contrapositive is the converse of the inverse.
500
If you can shoot a bucket from the back board into the recycling bin, your team wins 2000 points.
Good luck.