Inductive Reasoning & Patterns
1, 4, 9, 16, 25,... Find the next 3 terms in pattern
What is 36, 49, 64
If a polygon is a triangle, then it has exactly 3 sides.
Write the CONVERSE of this statement.
If a polygon has exactly 3 sides, then it is a triangle.
Name of the property: If a = b, then a + c = b + c
What is Addition Property
An angle whose measure is between 90 and 180 degrees
What is an obtuse angle?
Is this an example of inductive or deductive reasoning?
Every time my dog, Carl, does a trick on command, I give him a treat. Carl sits and then speaks when I ask, so I give him a treat.
What is inductive?
15, 12, 9, 6, ... Find next 3 terms of pattern
What is 3, 0, -3
If Jared is in 10th grade, then Jared is in high school.
Write the CONTRAPOSITIVE.
If Jared is not in high school, then Jared is not in 10th grade.
Name the property: If a = b and b = c, then a = c.
What is Transitive Property
Two angles whose sum is 180 degrees
What is supplementary?
Where two planes intersect
Extra question...what about the intersection of three planes?
What is a line?
Extra answer...
3, 9, 27, 81, ... Find next 3 terms
What is 243, 729, 2187
If an animal is a horse, then it has 4 legs.
Write the INVERSE.
If an animal is not a horse, then it doesn't have 4 legs.
Name the property: If a = b, then b can replace a in any expression.
What is Substitution Property
What is perpendicular?
What is Symmetric Property?
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
or...adding a negative number will give a lesser sum
If you see the moon, then it is nighttime.
Write the BICONDITIONAL.
Name the property: a(b + c) = ab + ac
What is Distributive Property
Opposite angles formed by intersecting lines
What are vertical angles?
Points O, K, L, and A are collinear. If K is the midpoint of OL, and L is between K and A, and LA = 5 and OK = 14, then KL = _____ ?
What is 9
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
"Anyone who has never made a mistake has never tried anything new."
Rewrite as an if-then statement.
If someone has never made a mistake, then they have never tried anything new.
B is between A and C.
AB + BC = AC
What is Segment Addition?
Two angles that are adjacent and supplementary
What is a linear pair?
The first reason in EVERY proof
What is given?