October 9, 2011  Submitted by Nikki Obaido, University High School
Geometry & Algebra 1-B

Project: Inductive Reasoning and Conditional Statements

What is a statement? It is a declaration or remark.

A statement can be true or false. Some examples of a statement are as follows: 

 It is cold outside. 
It is always warm at the beach.
 School is fun.   
Teachers are always happy. 
Homecoming is an exciting week at school   
Boys are cute.
Sixteen year olds can’t wait to drive.

In math a statement might look something like this:

Four sided figures are called quadrilaterals.                        
All four sided figures are squares. 
2 + 2 = 4                                                                                

 An even number is divisible by two. 
Any number ending is 5 or 0 is a multiple of 5.

On two sheet of paper, write two different statements on the top of each. The statements do not have to be about math. One statement must be true, one must be false. Be very specific about your statement. Don’t just say, “It is cold outside”. Say, “It is cold outside in Orange City”.

For each statement complete the following and then determine if it is true.


         1.   Find a counterexample       .................  It is not cold outside near the equator. T

          2.) Write each statement as a conditional statement  ........... If you are cold, then you are outside in OC. F            

      3.)    Identify the hypothesis (p)  ................. If you are cold  

      4.)    Identify the conclusion (q)  .................... Then you are outside in OC

      5.)  Write the converse to the statement   .........................If you are outside in OC, then you are cold. F                

      6.)  Write the inverse to the statement   .......... If you are not cold, then you are not outside in OC.T                                   

      7.)  Write the contrapositive to the statement  ..... If you are not outside in OC, then you are not cold. F