Logic Puzzle: Shape Attributes

Logic Puzzle: Shape Attributes
Objectives:
1. To work
cooperatively to
solve logic puzzles
involving various
shapes
2. To write a paragraph
proof using clear
reasoning
Assignment:
• Logic Puzzle Problem
Set
Cooperative Norms
1. Be positive and assume others are as
well.
2. Be respectful.
3. Be curious and promote a spirit of inquiry.
4. Be present and pay attention to others.
5. Be thoughtful by pausing before speaking.
6. Be productive and share your thinking.
Cooperative Roles
Leader
Leads and mediates
group discussion and
ensures everyone’s
participation
Spokesperson
Communicates group
results to the class and
is a liaison between the
group and the teacher
Runner
Retrieves materials for
group activities
Questioner
Questions and critiques
the reasoning of group
responses; checks the
accuracy of group
answers
Recorder
Records group problemsolving responses and
answers
Timekeeper
Keeps time for the
group, ensuring tasks
are accomplished on
time
Bag of Shapes
Take the
shapes out
of the bag.
What do you
notice
about
them?
Logic Clues
• Look at the set of clues. Basically you are
trying to find a particular shape or pair of
shapes that fit these clues.
• They can be used in any order.
• There are conditional statements (if-then)
and statements of fact.
How should we start?
Logic 2
Use clues in any order:
• If it is yellow, then it is a rhombus.
• If it is large, then it is not blue.
• It is not small.
• If it is large, then it is not green or yellow.
• If it is not green, it is a rhombus.
Procedure
• Work together as a cooperative group,
where everyone contributes and stays
focused, to solve the nine logic puzzles.
• Keep in mind: Do not change your mind
unless you are logically persuaded.
Assignment
Every individual will have to turn in:
• List of your answers for any five problems
(not including #2)
• You must do either #8 or #9
• Paragraph proof of ONE problem (1, 3-9)
explaining specifically why your answer(s)
must be true
• All answers submitted through GC
Example Proof: Problem 2
Logic problem number 2 refers to a large, red
rhombus. The problem clearly states that the
shape is not small, therefore all small shapes
must be eliminated, leaving only large shapes.
Since our shape must be large, according to two
of the conditional statements, it cannot be blue,
green, or yellow, leaving only red. Finally, since
our shape is not green, it must be a rhombus
according to the last conditional statement.
Therefore, it follows that the shape must be a
large, red rhombus.
Assignment
• You only get this class period to work
together as a group
• Due next class a quiz grade
• You may have to write stuff down.
• Plagiarism has consequences.
• Shapes and clues can be found online.