Conditionals
Patterns
Related Statements
Laws of Logic
Miscellaneous from Chapter 1
100

What do you call the "if" part of a conditional statement?

what is a conclusion?

100

Give the next THREE terms in the sequence:

4, 8, 16, ...

32, 64, 128

100

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.

100

What is the symbolic representation for the Law of Syllogism?

If p-->q AND q-->r, then p-->r

100

Draw a linear pair of angles on the board.

Shared ray

200

What do you call the "then" part of a conditional statement?

what is the conclusion?

200

Identify the next three terms in the sequence:

5000, 1000, 200, ...

40, 8, 8/5 = 1.6

200

What type of statement inserts nots into an original conditional statement?

What is the Inverse statement

200

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.

200

If two angles are complementary, what is their sum?

90 degrees.

300

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

300

Make a conjecture about the following pattern:

1, 1, 2, 3, 5, 8, ...

300

Write (on the board) the symbolic representation of the contrapositive statement.

~q--->~p

300

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

300

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

400

What is the symbol representation of a conditional statement? Draw it on the board.

what is p-->q

400

Find the number that does not belong in this pattern:

2, 7, 11, 5, 19, ...           Explain why it doesn't belong

2

400

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.

400

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

400

Simplify the square root of 60

2*square root of 15

500

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.

500

Find the next three terms in the pattern:

1/2,  3/5,  5/8, ...

7/11,  9/14,  11/17

500

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

500

How can a student easily recognize an example using the Law of Syllogism?

Look for a conclusion that becomes a hypothesis.

500

What is an angle bisector?

An Angle bisector cuts an angle into 2 congruent angles

Click to zoom