Law of Syllogism Project
Geometry
Name: ________________ Period: ___
Date Assigned: _____ Date Due: _____
You will be creating your own story that follows the law of syllogism. Remember that
every statement in your story must be in the form of “If hypothesis, then conclusion.” Your story
must contain at least 10 conditional statements plus the final statement and contain a theme (do
not jump from aliens, to music, to pickles, to math) and keep with the theme throughout the
story. You must present your story on a piece of construction paper (provided for you). It should
be the best piece of artwork you have ever created.
In addition to writing your story, on the back of the construction paper you will need to
attach this paper with the questions below facing out (you will see these words when you attach
this paper).
#1 – Write a conditional statement with the same theme from your story that will satisfy
the requirements for biconditional and rewrite it in the required forms. Then circle if
the statement is a true or false statement.
#2 – Choose a conditional statement from your story that is false. Give a counterexample.
Conditional Statement #1: ________________________________________________________
_________________________________________________________________ True or False?
Converse: _____________________________________________________________________
_________________________________________________________________ True or False?
Inverse: _______________________________________________________________________
_________________________________________________________________ True or False?
Contrapositive: _________________________________________________________________
_________________________________________________________________ True or False?
Biconditional: __________________________________________________________________
_________________________________________________________________ True or False?
Conditional Statement #2: ________________________________________________________
_______________________________________________ Counterexample: ________________
Law of Syllogism Project
Geometry
Name: ________________ Period: ___
Date Assigned: _____ Date Due: _____
Grading Rubric
Story Requirements
All statements are in ifthen format
0 points
No statements are
in if-then format
Story contains at least
10 statements
Turned in on time with
first and last name and
class period
No story at all
Colored and neat
No color and not
neat at all
Story does not
have the correct
ending line of “If
(first hypothesis),
then (last
conclusion).”
Have the correct
ending line of “If (first
hypothesis), then (last
conclusion).”
Statement
Requirements
Conditional statement
must be able to be
written as a
biconditional
Converse statement
written in correct
format
Inverse statement
written in correct
format
Contrapositive
statement written in
correct format
Biconditional
statement written in
correct format
Conditional statement
with a counterexample
Not turned in on
time
3-5 points
Less than half of
statements are in
if-then format
3-5 statements
6-9 points
More than half but
not all statements
are in if-then format
6-9 statements
Turned in on time
with no name
AND no class
period
Colored and neat
Turned in on time
with no name OR
no class period
10 points
All statements
are in if-then
format
10 or more
statements
Turned in on time
with name and
class period
Story has the
correct ending line
of “If (first
hypothesis), then
(last conclusion).”
Did not write a
conditional
statement on back
of construction
paper
Did not write
conditional
statement in
correct form
Conditional
statement in correct
form but not able to
be written as
biconditional
Did not write
converse
statement on back
of construction
paper
Did not write
inverse statement
on back of
construction
paper
Did not write
contrapositive
statement on back
of construction
paper
Did not write
biconditional
statement on back
of construction
paper
Not included
Did not write
converse statement
in correct form
One part of
converse statement
is correct and one is
not
Did not write
inverse statement
in correct form
One part of inverse
statement is correct
and one is not
Did not write
contrapositive
statement in
correct form
One part of
contrapositive
statement is correct
and one is not
Did not write
biconditional
statement in
correct form
One part of
biconditional
statement is correct
and one is not
Conditional
statement but no
counterexample
included
Conditional
statement and
counterexample but
do not go together
Conditional
statement chose
and written
correctly with
correct truth
value
Converse
statement written
in correct form
with correct truth
value
Inverse statement
written in correct
form with correct
truth value
Contrapositive
statement written
in correct form
with correct truth
value
Biconditional
statement written
in correct form
with correct truth
value
Conditional
statement with
valid
counterexample