Show:
Conditional Statements
Conditionals 2
Biconditional
Patterns/Inductive Reasoning
Laws of Logic
100
Rewrite in If-then form Hypothesis: A snake bites you Conclusion: You die
If a snake bites you, then you die
100

What is the converse of the statement and is it true or false? If I arrive to 4th period at 1:20, then I am late.

If I am late, then I to 4th period at 1:20. 


False, I can be late at other times, too. 

100

Write a biconditional statement from the following conditional statements: If two angles are congruent, then they have the same measure If two angles have the same measure, then they are congruent

Two angles have the same measure if and only if they are congruent

100
Identify and describe the pattern 1, 3, 5, 7, 9
Increasing by 2 each time
100

Given the following statements, decide what conclusion can be made. If I pass the test, then I will pass the class. ___________________, Therefore, I will pass the class

I passed the test

200
Given the hypothesis and conclusion, write the phrase that corresponds. Hypothesis: A snake bites you Conclusion: You die Converse: _________________________________________
If you die, then a snake bit you
200
Given the hypothesis and conclusion, write the phrase that corresponds. Hypothesis: I don’t like grapes Conclusion: Raisins are delicious Inverse:_________________________________________
If I like grapes, then raisins are gross
200

Write one of the two conditional statements contained in the biconditional statement: 1+1 = 3 if and only if Mars is a black hole.

If 1+1 = 3, then Mars is a black hole or If Mars is a black hole, then 1+1 = 3

200
Identify the next number in the pattern 3, 6, 10, 15, 21, ___
28 (add 7 to 21)
200
Given the following statements, decide what conclusion can be made, and which law was used. If the leaves are falling, then I will rake that lawn. The leaves are falling
I will rake the lawn - the Law of Detachment
300

Given the hypothesis and conclusion, write the phrase that corresponds. Hypothesis: The Huskers win Conclusion: I wear red Contrapositive: _________________________________________

If I don't wear red, then the Huskers did not win

300
Write the converse of the statement: If I go skiing, then there's 12 inches of snow
If there is 12 inches of snow, then I will go skiing
300

Write a biconditional statement from the two conditional statements and determine if the biconditional statement is true. If a two numbers are positive, then their product is positive. If the product of two numbers is positive, then the two numbers are positive.

Two numbers are positive if and only if their product is positive False - Look at the statement If the product of two numbers is positive then, the two numbers are positive (-2 x -2 = 4)

300
Describe the pattern and then identify the next 2 numbers in the sequence: 1, 4, 9, 16, 25, ___, ___
36 and 49 The pattern is the squares of numbers 1*1 = 1, 2*2 =4, 3*3 = 9, etc
300

Given the following statements, decide what conclusion can be made, and which law was used. If 50 Cent is an actor, then I’m Brad Pitt. If I’m Brad Pitt, then I wouldn’t have a red beard. Conclusion: _____________________, then I wouldn’t have a red beard. Law: _______________________

If 50 cent is an actor (If 50 cent is an actor, then I wouldn't have a red beard) Law of Syllogism

400
Write the phrase that corresponds. If I am cool, then I love school Inverse: ___________________________________________
If I am not cool, then I don't love school
400

Write the conditional statement as a biconditional: If a number is a prime number, then it is divisible by only 1 and itself.

A number is prime if and only if it is divisible by 1 and itself.

400

Write the two conditional statements contained in the biconditional statement. Is the biconditional statement true? An angle is obtuse if and only if it measures more than 90 degrees.

If an angle is obtuse, then it measures more than 90 degrees If an angle measures more than 90 degrees, then it is obtuse. False - Obtuse angles are between 90 and 180 degrees, If it is 180 degrees then it is a straight angle!

400
Describe the pattern and get the next number in the pattern: 3, -6, 12, -24, ___
48 - Multiplying by -2 each time
400
Given the following statements, decide what conclusion can be made, and which law was used. If love is blind, then flowers bloom. If flowers bloom, then everyone is happy. Conclusion: If love is blind, ________________________________. Law: ___________________________
then everyone is happy. Law of Syllogism
500

Given the Hypothesis and Conclusion, identify which statement is written below. Hypothesis: Butterscotches are Gumdrops Conclusion: Elves ride donkeys Butterscotches are Gumdrops if and only if Elves rides donkeys

Biconditional Statement

500

Given the Hypothesis and Conclusion, identify which statement is written below. Hypothesis: The Yankees win Conclusion: I am happy If the Yankees lose, then I am sad

Inverse

500

Given a potential biconditional, check the truth-value of the conditional statement and its converse. Provide a counterexample if the truth-value is false. A rectangle has an area of 24 square meters if and only if it has sides of 6m and 4m

False! If a rectangle has an area of 24 square meters, then it has sides of 6 meters and 4 meters. The rectangle could have side lengths of 8 meters and 3 meters.

500
Describe and identify the next 2 numbers in the pattern 1, 1, 2, 3, 5, 8, 13, ___, ____
Adding together two consecutive numbers to obtain the next number. 8+13 = 21 13+ 21 = 34 (This is the Fibonacci sequence)
500
Given the following statements, decide what conclusion can be made, and which law was used. If x = 5, then 3x = 15. If 3x = 15, then 4(3x) = 60. Conclusion: _______________________________________________. Law: _________________________
If x = 5, then 4(3x) = 60 Law of Syllogism