vocabulary mix
reasoning that uses examples and observing a pattern
What is inductive reasoning?
the placement of the conclusion statement
What is followed after then?
Make a conjecture for appt. times: 8:30 am, 9:10 am, 9:50 am
What is 10:30 am?
Write in if-then this true conditional:
School is closed on Monday, February 19th.
What is, "If school is closed, then it is Monday, February 19."?
the two words that can be used to combine statements to form compound statements
What is and and or?
the placement of the hypothesis
What is followed after if?
3, 3, 6, 9, 15
What is 24?
Write the converse: If last month was January, then this month is February.
What is, if this month is February, then last month was January?
the opposite of an example, it proves a conjecture is false
What is a counterexample?
two or more statements joined by the word and or or
What is a compound statement?
Determine true or false,
If angle A is 30 degrees and angle B is 60 degrees, they are complementary.
What is true? Complementary angles have a sum of 90 degrees.
Write the inverse, birds are animals that can fly.
What is, if the animal is not a bird, then it can not fly?
A statement is true or false
What is truth value?
formed by negating both the hypothesis and conclusion of the conditional
What is inverse?
Determine if true or false, if false give counterexample.
If n is prime, then n + 1 is not prime.
False, If n=2, then n+1=3 is a prime number.
Write the contrapositive. A hamster is a rodent.
What is, if an animal is not a rodent, then it is not a hamster.
a concluding statement reached using inductive reasoning
What is a conjecture?
The converse, inverse and contrapositive are what type of statements
What are related conditionals?
1, 1/2, 1/4, 1/8
What is 1/16?
True or False (give counterexample) If the animal cannot fly, then it is not a bat.
What is false, most birds can fly, and they are not bats.