Patterns
This kind of reasoning is based on the patterns that you observe.
What is INDUCTIVE REASONING?
This is what you need to find to show that a conjecture is incorrect.
What is a counterexample?
This is what comes first in a conditional statement.
What is THE HYPOTHESIS?
What has to be true in order to be able to write a biconditional?
What is the CONDITIONAL STATEMENT AND THE CONVERSE?
Name this property: If a=b and b=c, then a=c.
What is TRANSITIVE PROPERTY?
This is a conclusion that you reach when using inductive reasoning.
What is a CONJECTURE?
Find a counterexample to the statement that you can connect any 3 points to form a triangle.
What is A STRAIGHT LINE?
What kind of diagram can be used to summarize a conditional statement?
What is A VENN DIAGRAM?
What is the magic phase that appears in the middle of a biconditional statement?
What is IF AND ONLY IF?
Name this property: If AB = 2x - 3, then you can replace AB with 2x - 3 in your proof.
What is SUBSTITUTION?
What are the next 2 terms in the sequence: 1, 2, 6, 24, 120...
What is 720, 5040?
Make a conjecture about the following statement: the sum of 2 odd numbers is odd.
What is the sum of 2 odd numbers is EVEN.
This is the type of statement where you flip it, and negate it.
What is A CONTRAPOSITIVE?
Is the following a good definition: A cat is an animal with whiskers? Why or why not?
What is NO, SOME WHISKERED ANIMALS AREN'T CATS?
If you have a big angle cut into 2 smaller angles, what postulate are you probably going to use in your proof?
What is ANGLE ADDITION POSTULATE?
A pattern that goes shapes colored purple, red, green repeating has the 14th figure colored what?
What is RED?
Find a counterexample: The product of 2 positive numbers is greater than either number.
What is 1/4 times 1/2?
What is the inverse of IF I AM COOL, THEN I AM MS. PERRY?
What is IF I AM NOT COOL, THEN I AM NOT MS. PERRY?
Can you write a biconditional for the following statement: If a number is divisible by 20, then it is even?
What is NO?
What do you use for your reason if you are stating something that is seems obvious to you in your statement?
What is A DEFINITION?
Describe the pattern in the sequence and name the next term. 1, 4, 9, 16, 25, ...
What is squaring the nth term of the sequence, the next term is 36.
What is the sum of the first 100 positive even numbers?
What is 10,100?
Write the following statement as a conditional: Pianists are musicians.
What is IF YOU ARE A PIANIST, THEN YOU ARE A MUSICIAN?
True or False. Two lines segments are congruent if and only if they are of equal length.
What is TRUE?
"If two line segments are congruent then they are of equal length.” and “If two line segments are of equal length then they are congruent.”
Find the measure of two complementary angles
What is 90 DEGREES?