Inductive Reasoning
Determine the pattern: 2, 4, 6, 8, ...
10, 12, 14, ...
Even Numbers
In a conditional statement, the __________ is after "If" and the __________ is after "Then"
Hypothesis, Conclusion
Deductive Reasoning uses ...
Facts, Logic, Definitions, Proof
What phrase is used for a biconditional statement?
IFF
What is Colin Alexa's favorite candy?
Twix
Determine the pattern: 2, 3, 5, 7, 11, 13, 17, ...
19, 23, 29, ...
Prime Numbers
Determine the converse:
If I eat snacks, then I feel full
If I feel full, then I ate snacks
Does the conclusion use inductive or deductive reasoning:
A detective learns that his main suspect was out of town the day of the crime. He concludes that the suspect is innocent.
Deductive Reasoning
To write a biconditional statement, both the __________ and __________ must be true
What contest did the Sophomores win last night at the fire?
Egg hunt, Donut contest
Complete the conjecture:
The product of two even numbers is ...?
Even
Determine the inverse:
If I do not like math, then I am not cool.
If I like math, then I am cool
Does the conclusion use inductive or deductive reasoning?
At Forest Park, students must take Algebra 2 before taking Geometry. Noah is in Geometry, so he has taken Algebra 2.
Deductive Reasoning
Determine if the biconditional is true:
Eli is a swimmer if and only if he is an athlete.
False. Eli could be a football player
How many Sophomores are there?
48
Find a counterexample:
For any real number, x^3 is greater than or equal to x^2
Negative Numbers!
You should monitor the heart rate of a patient who is ill
If a patient is ill, then you should monitor their heart rate
Does the conclusion use inductive or deductive reasoning:
Students in Mr. Ponchaud's Geometry class are sophomores, juniors, or seniors. So, that means freshmen are not allowed to take Geometry
Inductive Reasoning
Write a biconditional statement:
A circle is the set of all points in a plane that are fixed distance from a given point
A circle is a circle iff it is the set of all points that are fixed distance from a given point
Clay Williams was in which contest last night at the fire?
Hot Dog Eating
Find a counterexample:
Three points on a plane always form a triangle
Determine if the conditional is true:
If a cat is a bird, then today is Friday
False. Cats are not birds
Draw a conclusion:
If you leave your car lights on overnight, then your car battery will drain. If your battery is drained, your car might not start. Haven left her lights on last night.
Haven's car might not start
Determine if the biconditional is true:
An automobile is an automobile iff it moves along the ground
False. They can not move
Who is going to win homecoming?
Sophomores!