Conditional Statements
Given the conditional statement "If the weather cools off, then we will make soup", what is the hypothesis?
the weather cools off
If John studies for his test, then he will make an A.
If John makes an A, then he will get to go to the football game.
If John studies for his test, then he will get to go the football game.
What type of reasoning uses patterns and examples to make a general conclusion?
Inductive Reasoning
If a number is divisible by 3, then it is odd.
6, 12, 18, 24, etc.
If AB = CD and CD = EF, then AB = EF. What property is this?
Transitive
Write the converse of the statement. "If a polygon has 3 sides, then it is a triangle"
If a polygon is a triangle, then it has 3 sides.
Use Law of Detachment.
If Emily practices every morning, then she will be ready for her competition.
Emily practiced every morning.
Emily is ready for her competition.
Finish the pattern below
12, 8 , 4, 0, ?
-4
A circle is a shape that is round.
Oval
What property states that a = a?
Reflexive Property
Another name for an if-then statement is a _________.
Conditional
If Sarah brings an Alani to school, then she will get detention. If she gets detention, she will have to come to school early. If Sarah brings an Alani to school, then she will have to come to school early.
Law of Syllogism
Donald can run 2 laps around the track the first week of practice, the second week of practice he can run 5 laps around the track, the third week of practice he can run 8 laps around the track. At this rate, how many laps will Donald be able to run in the fifth week of practice?
14 laps
If a shape has four sides then it is a rectangle.
square
Which property is illustrated below.
If 10x + 6y = 14 and x = 2y, then 10(2y) + 6y = 14.
Substitution
When a conditional and its converse are both true, you can combine them as a true ___________.
Biconditional
Law of Syllogism or Law of Detachment?
If Carson gets hungry, then he will get angry.
Carson got hungry.
Carson got angry.
Finish the pattern.
2, 3, 5, 8, ?
12
Crickett is a game played on a field with a ball and bat.
Baseball
State the property illustrated.
JK = LM then LM = JK.
Symmetric Property
False.
Can you draw a conclusion given the information. If the weather stays good, then they can finish the building by Thanksgiving.
They finished the building by Thanksgiving.
No conclusion can be made.
Every year, it is very hot at the end of July in Mississippi. Using inductive reasoning, what can you conclude about July of 2027 in Mississippi?
It will be very hot.
If a number is divisible by 2 then it is divisible by 4.
6, 10, etc
Name the Property illustrated.
If 3(x-7)=42 then 3x-21=42.
Distributive Property of Equality