Geometric Notation
A perpendicular intersection happens when
Two lines, segments, or rays that meet to create 90o angles.
This kind of machine used Deductive Reasoning.
Rube Goldberg Machine
This kind of process used Inductive Reasoning.
Dominos falling.
These are used to prompt Visual Reasoning.
Increasing patterns
A conditional statement is comprised of these two parts.
If, then statements.
This is created when two planes intersect
A line
All birds can fly.
If it is true, explain why.
If it is false, give a counterexample.
False. Kiwis, Emus, and Ostriches.
The flamingos here are all pink.
All flamingos I’ve ever seen are pink.
We can then assume this about flamingos.
That all flamingos are pink.
This type of reasoning is used in tandem with Visual Reasoning.
Inductive Reasoning
If this, then that. What are the "this" and "that"?
This is a condition/hypothesis. That is the conclusion.
A plane is made up of
3 noncollinear points.
Deductive Reasoning is commonly used in tandem with this kind of statement.
Conditional Statements
Michael just moved here from Chicago. Michael has red hair. Therefore, all people from Chicago have red hair.
How can we disprove this assumption?
Someone from Chicago with brown hair.
The "nth" terms means this.
The number term we are using. First image means we plug 1 into our expression. Second image means we plug 2 into our expression and so on.
Conditional Statements usually will use this type of reasoning.
Deductive Reasoning
This is the notation for AB = CD
*use pen to add notation
Deductive Reasoning relates to a Rube Goldberg machine is this way.
By only seeing a couple of dominos falling, we can assume that a domino will fall after each domino. Small idea to a blanket rule.
This is the key difference between Visual Reasoning and Inductive Reasoning.
Visual Reasoning will always use a visual and will always work when using a rule or expression. Induction can be disproved.
Conditional Statements are also written as "If p, then q," or p-->q. What is it called when we have "If q, then p," or q-->p.
The Converse Statement
A midpoint is a point that divides what into what?
A line segment into two congruent line segments.
This Greek philosopher is the Father of Deductive Reasoning.
Aristotle
This is the next number in the pattern
45, 21, 9, 3...
0
The rule was (n-3)/2
Find the rule or expression
x xx xxx xoox xxooxx xxxooxxx
1 2 3
3n + 2
If p, then q. Given that it is raining is true and it is cloudy is false, is the statement true or false.
If it is raining, then it is cloudy.
False