Terms
Properties
If/Then Statements
Detachment / Syllogism
Sequences
100
Define Inductive Reasoning
A conclusion based on a pattern of examples or past events.
100
Name the property to make the conclusion: If x + 7 = 23, then x = 16
Subtraction Property
100
State the hypothesis and conclusion: If you study, then you'll get good grades.
Hypothesis: you study Conclusion: you'll get good grades
100
Is this an example using the law of detachment or the law of syllogism, and is it valid? If Jim is a Texan, then he is an American. Jim is a Texan. Jim is an American.
We used the Law of Detachment and its VALID
100
State the next 2 numbers in the sequence: 1, 3, 5, _ , _
7 & 9
200
Define Conjecture
a conclusion that you reach based on inductive reasoning.
200
Name the property to make the conclusion: If 4x = 28, then 28 = 4x
Symmetric Property
200
Write the inverse: If you work out, then you'll get stronger.
If you do not work out, then you will not get stronger.
200
Is this an example using the law of detachment or the law of syllogism, and is it valid? If Spot is a dog, then he has 4 legs. Spot has four legs. Spot is a dog.
We used the Law of Detachment and its INVALID
200
State the next two numbers in the sequence: 2, 4, 8, 16, _, _
32 & 64
300
Define Counter Example
an example used to prove a conjecture false.
300
Name the property to make the conclusion: If 3x = 21, then x = 7
Division Property
300
Write the converse: If you cook dinner, then you'll eat something tasty.
If you eat something tasty, then you cooked dinner.
300
Write a 3rd sentence using either the law of detachment or the law of syllogism (tell which law you used): If Julie works after school, then she works at a grocery store. If Julie works at a grocery store, then she works at Bi-Lo.
If Julie works after school, then she works at Bi-Lo. Law of Syllogism
300
State the next two numbers in the sequence: -3, 1, 5, 9, _, _
13 & 17
400
Define the reflexive property
For any real number a, a=a
400
Name the property used to make the conclusion: If AB = CD and CD = EF, then AB = EF
Transitive/Substitution Property
400
Write the contrapositive: If it is Tuesday, then Phil plays tennis.
If Phil does not play tennis, then it is not Tuesday.
400
Write a 3rd sentence using either the law of detachment or the law of syllogism (tell which law you used): If you study your geometry, then you'll pass the tests. Lucy studied for her chapter 2 geometry test.
Lucy passed her chapter 2 geometry test. Law of Detachment
400
State the next two numbers in the sequence: 2, 3, 5, 8, 12, 17, _, _
23 & 30
500
Define Deductive Reasoning
A process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument.
500
Name the property used to make the conclusion: If m
Subtraction Property
500
Write the if / then sentence: Rainy days have no sun.
If it's a rainy day, then there is no sun.
500
Write a 3rd sentence using either the law of detachment or the law of syllogism (tell which law you used): If you take all of your notes and try, then you'll do well in school. If you do well in school, then your parents will be proud of you.
If you take all of your notes and try, then your parents will be proud of you. Law of Syllogism
500
State the next two numbers in the sequence: 3, 8, 7, 12, 11, 16, _, _
15 & 20
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