Patterns
Conjectures
Counterexamples
Conditional Statements
Inverse, Converse, Contrapositive, and Biconditional
100

Finish the pattern..

2, 4, 6, 8, ___.

10

100

Identify the conjecture of the pattern:

3, 6, 9, 12, 15.

Add 3

100

Is the following statement true or false? If false, provide a counterexample:

All animals have fur.

False -- 

100

What word does a conditional statement start with?

"if"

100

How is the converse different from the conditional statement?

The order of the hypothesis and conclusion switch.

200

Finish the pattern...

3, 8, 13, 18, ____

23

200

16, 14, 12, 10, 8

Subtract 2

200

Is the following statement true or false? If false, provide a counterexample:

All Alabama football fans are from Alabama.

False:

Karon is not from Alabama

200
What word comes before the conclusion of a conditional statement?

"then"

200

How is the contrapositive different from the conditional statement?

The order of the hypothesis and the conclusion switch and the word "not" is added to the hypothesis and conclusion.

300

19, 16, 13, 11, ____.

9

300

1, 4, 16, 64, 256

Multiply by 4

300

Provide a counterexample:

If an angle is more than 90ยบ, it is an obtuse angle.

Straight angle = 180 degrees

180 > 90

300

what letters represent the hypothesis and conclusion of a conditional statement?

p and q

300

~p -> ~q represents which type of conditional statement?

Inverse

400

1, 2, 3, 5, 8, 13, ____.

21

400

Write a conjecture for the following pattern:

80, 40, 20, 10, 5

Divide by 2

400

All vehicles have four wheels

motorcycle

bike

400
What is the hypothesis of the following conditional statement:


If Garrett puts his phone away, then he will get his work done faster. 

Garrett puts his phone away

400

What type of conditional statement is this:

You get popcorn if and only if you go to the movies.

Biconditional

500

2, 5, 11, 23, ____.

47

500

z, y, x, w, v, u

alphabet backwards

500

Write a counterexample:

The sum of any two odd numbers is odd.

False -- 

7+7=14

14 is an even number

500

Write the following sentence as a counterexample:

p: You go to the movies               

q: You will get popcorn

If you go to the movies, then you will get popcorn.

500

Write the biconditional of the following conditional statement:

If you live in Baltimore, then you live in Maryland.

You live in Baltimore if and only if you live in Maryland.