Conditionals
What do you call the "if" part of a conditional statement?
what is a conclusion?
Give the next THREE terms in the sequence:
4, 8, 16, ...
32, 64, 128
Given the converse statement, write the original conditional statement on the board:
If you eat turkey with your family, then it is Thanksgiving.
If it is Thanksgiving, then you eat turkey with your family.
What is the symbolic representation for the Law of Syllogism?
If p-->q AND q-->r, then p-->r
Draw a linear pair of angles on the board.
Shared ray
What do you call the "then" part of a conditional statement?
what is the conclusion?
Identify the next three terms in the sequence:
5000, 1000, 200, ...
40, 8, 8/5 = 1.6
What type of statement inserts nots into an original conditional statement?
What is the Inverse statement
Complete the statement:
The Law of Detachment says if p-->q is true AND p is true, then you can conclude that ________________.
q is true.
If two angles are complementary, what is their sum?
90 degrees.
What is the Truth Value of the following statement:
If a cow is a horse, then Thanksgiving is in June.
What is F-F = True
Make a conjecture about the following pattern:
1, 1, 2, 3, 5, 8, ...
Add the two previous numbers
Write (on the board) the symbolic representation of the contrapositive statement.
~q--->~p
What is the third statement in this example, if you are using the Law of Syllogism?
If it is a Red Day, I have math class. If I have math class, then I see Mrs. Quimby.
If it a Red Day, then I see Mrs. Quimby
If the two legs of a right triangle are 5 cm and 7 cm in length, what is the length of the 3rd side?
25+49=74
sq root of 74 = 8.6
What is the symbol representation of a conditional statement? Draw it on the board.
what is p-->q
Find the number that does not belong in this pattern:
2, 7, 11, 5, 19, ... Explain why it doesn't belong
2
Always add to previous term
Write (on the board) the Converse of the statement:
If it's raining, then we will not go outside for PE.
If we don't not go outside for PE, then it is raining.
What can you conclude in this example?
If she wants the lead role in the play, then she must practice. She wants the lead role in the play.
Which Law of Logic did you apply?
conclusion: she must practice.
Law of Detachment
Simplify the square root of 60
2*square root of 15
Rewrite the following sentence as a conditional statement: Write it on the board.
A 7 sided polygon is a heptagon.
If it is a 7 sided polygon, then it is a heptagon.
Find the next three terms in the pattern:
1/2, 3/5, 5/8, ...
7/11, 9/14, 11/17
Evaluate the TRUTH value of the contrapositive of this statement:
If today is Tuesday, then tomorrow is Wednesday.
If tomorrow is NOT Wednesday, then today is not Tuesday.
Truth value = true
How can a student easily recognize an example using the Law of Syllogism?
Look for a conclusion that becomes a hypothesis.
What is an angle bisector?
An Angle bisector cuts an angle into 2 congruent angles