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 a HYPOTHESIS?
Name this property: If a=b and b=c, then a=c.
What is TRANSITIVE PROPERTY?
What property justifies the statement AB is congruent to AB?
What is REFLEXIVE 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 the inverse of: If I am cool, then I am Ms. Gahr.
What is IF I AM NOT COOL, THEN I AM NOT MS. GAHR?
Name this property: If AB = 2x - 3, then you can replace AB with 2x - 3 in your proof.
What is SUBSTITUTION?
Solve the equation 2y + 1 = 5. Write a justification for each step.
What is:
2y + 1 = 5 (Given)
2y = 4 (Subtraction Property)
y = 2 (Division Property)
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 two odd numbers.
What is the sum of two odd numbers is EVEN.
This is the type of statement where you flip it, and negate it.
What is A CONTRAPOSITIVE?
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?
The equation C=$5.75 + $0.89m relates the number of movie rentals m to the monthly cost C of a movie club membership. How many movies did Sahij rent this month if his membership cost $11.98? Solve the equation for m and justify each step.
What is...
C=$5.75 + $0.89m (Given)
$11.98 = $5.75 + 0.89m (Substitution)
$6.23 = 0.89m (Subtraction Property)
$7 = m (Division Property)
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.
(Example) What is 1/4 times 1/2?
What is the symbol for a biconditional statement?
What is p <--> q
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?
Each fun of the ladder is parallel to the rung directly above it. Explain why the top rung is parallel to the bottom rung?
What is ALL THE RUNGS ARE PARALLEL TO EACH OTHER BY THE TRANSITIVE PROPERTY OF PARALLEL LINES?
Describe the pattern in the sequence and name the next term: 5, 16, 49, 148, ...
What is MULTIPLY BY 3 AND ADD 1.
Next term: 445
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?
In order to have alternate interior angles, I need...
Two lines are cut by a transversal. Is it possible for all eight angles formed to have the same measure? Explain your reasoning.
What is YES. IF THE TWO LINES ARE PARALLEL, AND THE TRANSVERSAL IS PERPENDICULAR TO BOTH LINES, THEN ALL EIGHT ANGLE ARE RIGHT ANGLES.