2.1 Inductive Reasoning
2.2 Analyzing Conditional Statements
2.3 Apply Deductive Reasoning
100
Determine the next 2 numbers in the pattern and describe the pattern. 3, 24, 45, 66,______, ________.
What is 87, 108 and +21
100
Identify the hypothesis of this statement. If it is raining, then there are clouds in the sky.
What is "it is raining"
100
_____________ uses facts, definitions, accepted properties, and the laws of logic to form a logical argument.
What is Deductive Reasoning
200
What is the next number in the pattern and describe the pattern. 3, 9, 81, ________.
What is 6561. The previous number squared.
200
What is the converse of this statement. If the angle is acute, then the angle measure is 28 degrees.
What is "If the angle measure is 28 degrees, then the angle is acute."
200
Use the law of detachment to make a conclusion Mary goes to the movies every Friday. Today is Friday.
What is Mary will go to the movies
300
Give a counterexample for the following statement. If x^2 = 49, then x = 7
What is x = -7
300
Write the statement in "If-then" form. Tourists at the Alamo are in Texas.
What is "If tourists are at the Alamo, then they are in Texas."
300
Using the law of Syllogism, give a new conditional statement that follows from the pair of true statements. If a truck goes by the dog will bark. If the dog barks, the cat will hide.
What is "If a truck goes by, then the cat will hide."
400
What are the first 3 numbers of the pattern? _____, _______, _______, 81, 243, 729.
What is 3, 9, 27.
400
Find the inverse and contrapositive of the following statement. If n=9, then n^2=81
Inverse: If n does not equal 9, then n^2 does not equal 81 Contrapositive: If n^2 does not equal 81, then n does not equal 9
400
If x>12, then x + 9 > 20. x=14
What is x + 9 > 20
500
Give a definition of conjecture in your own words.
What is a guess based on observation.
500
Adam says Bob lies Bob says Charlie lies Charlie says Adam and Bob both lie If Adam is telling the truth, then Bob is lying. What can you conclude about Charlie's statement?
What is Charlie's statement is true.
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