Inductive Reasoning & Patterns
Conditional Statements
Biconditional Statements
Deductive Reasoning
Properties of Equality
100
1, 4, 9, 16, 25,... Find the next 3 terms in pattern
What is 35, 46, 58
100
If a polygon is a triangle, then it has exactly 3 sides. Write the converse of this statement.
What is If a polygon has exactly 3 sides, then it is a triangle.
100
What is the abbreviation for if and only if
What is iff
100
Make a conclusion if possible: If 3 points are on the same line, then they are collinear. Points X, Y, and Z are on line m.
What is Points X, Y, and Z are collinear
100
What is the name of this property: If a = b, then a + c = b + c
What is Addition Property
200
15, 12, 9, 6, ... Find next 3 terms of pattern
What is 3, 0, -3
200
If Jared is in 10th grade, then Jared is in high school. Write the contrapositive.
What is If Jared is not in high school then Jared is not in 10th grade
200
If the original statement and the converse are both true we are allowed to rewrite it as a biconditional because the statement is ____________
What is reversible
200

Given: If you go camping, then you will need a flashlight. 

Given: If you need a flashlight, then you will need extra batteries. 

Conclusion: If you go camping, then you will need extra batteries. 


Law of Syllogism, Law of Detachment, or Invalid

What is Law of Syllogism.

200
Name the property: If a = b and b = c, then a = c.
What is Transitive Property
300
3, 9, 27, 81, ... Find next 3 terms
What is 243, 729, 2187
300
If an animal is a horse, then it has 4 legs. Write the inverse
What is If an animal is not a horse, then it doesn't have 4 legs
300
Change this back to an if-then (conditional) statement: An integer is divisible by 100 iff its last 2 digits are zeros.
What is If an integer is divisible by 100, then its last two digits are zeros.
300

Make a conclusion: If an animal is a Florida panther, then its scientific name is Puma concolor coryi. If an animal is a Puma concolor coryi, then it is endangered.

What is If an animal is a Florida panther, then it is endangered

300
Name the property: If a = b, then b can replace a in any expression.
What is Substitution Property
400
The sum of 2 numbers is greater than either number. find a counterexample for this statement
What is adding 0 to a number will give that same number
400
If you see the moon, then it is nighttime. Write the converse.
What is If it is nighttime, then you see the moon.
400
Is this statement reversible? Two angles that form a linear pair are adjacent.
What is No, adjacent angles don't necessarily add up to 180
400

Make a conclusion if possible: If you improve your vocabulary, then you will improve your score on a standardized test. If you read often, then you will improve your vocabulary.

What is No conclusion possible

400
Name the property: a(b + c) = ab + ac
What is Distributive Property
500
If a the name of a month starts with the letter J then it is a summer month. Find a counterexample for this statement
What is January.
500
"Anyone who has never made a mistake has never tried anything new." Rewrite as an if-then statement.
What is If someone has never made a mistake, then they have never tried anything new.
500
Is this a good definition (is it reversible)?: A cat is an animal with whiskers.
What is No, there are animals with whiskers that aren't cats.
500

Make a conclusion if possible: If you live in the Bronx, then you live in NY. Tracy lives in the Bronx. If you live in NY, then you live in the 11th state to enter the Union.

What is Tracy lives in the 11th state to enter the Union.

500
A __________ is a convincing argument that uses deductive reasoning. Its where you have to give a reason for each step.
What is proof
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