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Patterns
Conditional and Converse Statements
Inverse and Contraposive Statements
Biconditional Statements
Law of Detachment
100
What is the next number in this pattern? 1,12,123,1234....
What is 12345
100
Make this sentence into a conditional statement Apples fall from trees.
What is if it is an apple, then it falls from trees
100
State the inverse If Sarah likes pie, then she will buy it at Wal-Mart
What is If Sarah does not like pie, then she will not buy it at Wal-Mart.
100
What is the main part in a Biconditional statement
What is If and only if
100
James wants to be an engineer. If a student wants to be an engineer, then that student must graduate from college. What should James do?
What is go to college
200
What is the next number in this pattern? 3, 4.5, 6.75, 10.125...
What is 15.1875
200
Find a counterexample All Snakes are poisonous
What is False, there are many snakes that are not poisonous like a garter snake
200
State the contraposive of this inverse statement If I do not study, then I will not pass the test
What is If I do not pass the test, then I did not study.
200
If you practice tennis everyday, then you will become a better player. Collin does not practice tennis everyday. Collin...
What is Not a good tennis player
300
Washington, Adams, Jefferson...
What is President Madison
300
Identify the hypothesis and the conclusion If x + 9 = 11, then x = 2
What is the hypothesis is (x + 9 = 11) the conclusion is (x = 2)
300
Is this contraposive statement true? If angle A is not 15 degrees, then it is not acute
What is False, angle A can still be acute
300
Make this conditional statement into a Biconditional Statement if our team wins, then we answered most of the questions right
What is Our team wins if and only if we answer most of the questions right
300
Write a conclusion If roger get a part-time job, then he will buy a bicycle. Rogers buys a bicycle. Therefore..
What is Roger got a part-time job.
400
The 20th number in the Fibonacci sequence
What is 6765
400
Write the converse of this statement If a square had a side length of 3m, then its perimeter is 12m.
What is If a squares perimeter is 12m, then it has a side length of 3m.
400
Is the contraposive of this statement true or false? If I am not tardy, then I am not absent
What is False. You can still be present and also be tardy
400
Provide a counterexample for this Biconditional Statement It will rain if and only if it is cold outside
What is False, it can rain even when it is hot outside
400
Make a conclusion If the pen is not blue then Harry doesn't like football. If Val likes football then the pen is red.
What is If Val does not like football, then the pen is blue/ or Harry does like football.
500
1,2,6,24,120...
What is 720
500
Determine if the converse of this statement is true If a figure is a square, then it has at least two right angles
What is False. other figures besides squares can have at least two right angles.
500
Is this statement true or false? Provide a counterexample If an angle is not less than 90 degrees then it is not an obtuse angle
What is False, an angle less than 90 degrees is an acute angle
500
What is the inverse and contraposive of this statement. Our grades will be good if and only if we studied.
What is If our grades are not good, then we did not study If we did not study, then our grades are not good
500
Make a conclusion If two angles are vertical, then they are congruent. If two angles are congruent, then their measures are equal.
What is If two angles are vertical, then their measures are equal.