Conditional Statements
Write the following statement as a conditional:
"Triangles have three sides"
If it's a triangle, then it has 3 sides.
Write the converse of the statement:
"If it's Tuesday, then you are at school"
If you're at school, then it's Tuesday.
Draw a conclusion (if possible) from the statements. If not possible, write "no conclusion".
"If it is Monday, then you are tired.
It is Monday."
You are tired.
Find the next two terms:
-2, 2, 6, 10, ...
14 and 18
Determine if the statement is true or false. If false, provide a counterexample.
"If a shape has three sides, then it's a triangle."
True!
Write the following statement as a conditional:
"All dogs bark"
If it's a dog, then it barks
Write the converse of the statement:
"If the number is seven, then it is prime"
If the number is prime, then it is seven.
Draw a conclusion (if possible) from the statements. If not possible, write "no conclusion".
"If you want a driver's license, then you must take Driver's Ed.
John wants a driver's license."
John must take Driver's Ed.
Find the next two terms:
20, 17, 14, 11, ...
8 and 5
Determine if the statement is true or false. If false, provide a counterexample.
"If you are eating ice cream, then it is Summer"
False; you can eat ice cream whenever!
Write the following statement as a conditional:
"Math is Ms. Steele's favorite subject"
If it's math, then its Ms. Steele's favorite subject.
Write the converse of the statement:
"If it snows a lot, then we won't have school"
If we don't have school, then it snowed a lot.
Draw a conclusion (if possible) from the statements. If not possible, write "no conclusion".
"If it is Summer, then Ms. Steele is happy.
If it is Summer, then Ms. Steele is at the beach."
No Conclusion
Find the next two terms:
160, 80, 40, 20, ...
10 & 5
Determine if the statement is true or false. If false, provide a counterexample.
"If a number ends in zero, then it is divisible by 10."
True!
Write the following statement as a conditional:
"Even numbers are divisible by 2"
If it's an even number, then it's divisible by 2
Write the converse of the statement:
"If the shape is a rectangle, then it has 4 sides"
If the shape has four sides, then it's a rectangle.
Draw a conclusion (if possible) from the statements. If not possible, write "no conclusion".
"If you are happy, then you're with friends.
If you're with friends, then you are making memories."
If you are happy, then you're making memories.
Find the next two terms:
-6, 12, -24, 48, ...
-96 and 192
Determine if the statement is true or false. If false, provide a counterexample.
"If we don't have school, then it snowed a lot"
False; weekends, holidays, Summer, etc.
Write the following statement as a conditional:
"Right angles are 90 degrees"
If it's a right angle, then it's 90 degrees.
Write the converse of the statement:
"If two angles are vertical angles, then they are congruent"
If two angles are congruent, then they are vertical angles.
Draw a conclusion (if possible) from the statements. If not possible, write "no conclusion".
"If you miss more than 5 days of math class, then you will not get a good grade.
If you don't get a good grade, then you won't be happy."
If you miss more than 5 days of math class, then you won't be happy.
Find the next two terms:
2, 5, 9, 14, 20, ...
27 and 35
Determine if the statement is true or false. If false, provide a counterexample.
"If you teach math, then you teach Geometry"
False; Algebra, Trigonometry, Statistics, Calculus, etc.