Polygon Headbanz Slides Case File: #772-GEOM
Polygon Headbanz
The Secret of the Mystery Shape
The Sleuth's Dilemma
"I have four sides. I have four angles. Some of my sides are parallel... What am I?"
Is that enough information? A quadrilateral? A square? A trapezoid? A rectangle?
To solve the case, we need precise clues.
The Rules of Engagement
01
No Peeking
The card goes on your headband. Everyone can see it except YOU!
02
Yes/No Only
You may only ask questions that can be answered with a "Yes" or a "No."
03
The Final Reveal
Once you think you know your shape, you must name it AND give one reason why.
The Sleuth's Arsenal
Use these categories to build your questions:
Sides & Vertices
• Do I have more than 3 sides?
• Are all my sides the same length?
• Do I have exactly 4 vertices?
Parallel Lines
• Do I have any parallel sides?
• Do I have exactly one pair?
• Do I have two pairs?
Angles
• Do I have any right angles?
• Are all my angles equal?
• Do I have an obtuse angle?
Classification
• Am I a quadrilateral?
• Am I a regular polygon?
• Am I a parallelogram?
CASE OPENED!
Headbands on. Ears open. Questions ready.
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Polygon Headbanz Cards Evidence File: Mystery Polygons
Shape Sleuths Geometry Guild - Lesson 1 Game Cards
TOP SECRET
#001
Square
4 EQUAL SIDES • 4 RIGHT ANGLES
#002
Triangle
3 EQUAL SIDES • 3 EQUAL ANGLES
#003
Trapezoid
4 SIDES • EXACTLY 1 PAIR PARALLEL
#004
Rhombus
4 EQUAL SIDES • 2 PAIRS PARALLEL
#005
Hexagon
6 SIDES • 6 VERTICES
#006
Rectangle
4 RIGHT ANGLES • 2 PAIRS PARALLEL
#007
Pentagon
5 SIDES • 5 VERTICES
#008
Parallelogram
2 PAIRS PARALLEL • 4 SIDES
Sleuth Question Guide Sleuth Question Guide
Official Geometry Guild Reference #001
Step 1: The Broad Sweep
Start with questions that eliminate many shapes at once.
Am I a quadrilateral?
(Eliminates everything except 4-sided shapes)
Do I have exactly 3 sides?
(Identifies if you are a triangle)
Step 2: Narrow the Field
Parallel Sides
Do I have exactly one pair of parallel sides? (Trapezoid)
Do I have two pairs of parallel sides? (Parallelogram family)
Right Angles
Do I have any right angles?
Are all of my angles right angles?
Side Lengths
Are all of my sides the same length?
Are only my opposite sides equal?
Advanced Logic
Am I a regular polygon? (Equal sides & angles)
Do I have any obtuse angles?
Step 3: Solve the Case
When you are ready to guess, you must say:
"I suspect I am a NAME because REASON."
*Example: "I am a square because I have 4 equal sides and 4 right angles!"
Polygon Headbanz Teacher Guide Mission Briefing
Polygon Headbanz Teacher Guide
Learning Objectives
Identify polygons based on their attributes (sides, angles, parallel lines).
Use precise geometric vocabulary in interrogative sentences .
Apply deductive reasoning to narrow down a category of shapes.
Instructional Flow
1. The Hook (5-10 mins)
Use the Polygon Headbanz Slides . Put a 'Trapezoid' card on your forehead. Ask terrible questions first (e.g., "Am I blue?"). Show students how ineffective those are. Then, ask for a "Sleuth Clue." When a student says "You have one pair of parallel sides," model the 'Aha!' moment.
2. Guided Practice (10 mins)
Hand out the Sleuth Question Guide . Review terms like quadrilateral , parallel , right angle , and regular polygon . Practice "Broad Sweep" vs. "Narrow Field" questions as a class.
3. Collaborative Play (25 mins)
Students play in groups of 3-4. One student is the "Sleuth" (wearing the card), others are "Informants" (answering Yes/No). Rotate roles every 5 minutes.
Support
Give students a "Shape Bank" (a sheet with all 8 card images) so they can physically cross out shapes that don't match the clues.
Challenge
Limit the Sleuth to exactly 5 questions . They must be strategic to solve the case with a minimal "Evidence Trail."
Exit Interrogation
"I am a polygon with 4 sides. I have 2 pairs of parallel sides, but I do NOT have any right angles. All my sides are equal in length. What is my identity?"
Answer: Rhombus
Sorting Rule Slides Guess My Sorting Rule
The Case of the Secret Pattern
Mystery Evidence Groups
Evidence Group A
They follow the secret rule.
Evidence Group B
They do NOT follow the rule.
"What is the secret rule?"
Think Like a Detective
We use Inductive Reasoning when we look at specific clues to find a general rule.
1
Observe Group A (The 'Yes' shapes)
2
Check Group B (The 'No' shapes)
3
Test your theory with a new shape!
Testing the Secret Rule
Rule Hypothesis:
"All sides are equal length"
Does this shape fit?
YES
NO
Start Investigation
Open your Detective Sorting Log. Solve the first three cases with your partner.
Detective Sorting Log Detective Sorting Log
AGENT: _________________________
DATE: ________________
CASE FILE #01
Evidence: Group A
Secret Rule: _____________________
Sleuth's Deduction
Look at Group A. What do these shapes have in common that Group B (Triangles) does NOT have?
Describe the secret rule here...
Test Shape:
Does this follow the rule?
YES
NO
CASE FILE #02
Evidence: Group A
Sleuth's Deduction
Compare to Group B (Trapezoid, Rectangle). Why are these in Group A?
Describe the secret rule here...
Test Shape:
Does this follow the rule?
YES
NO
FIELD MISSION #03
Design Your Own Mystery Rule
1. Write your secret rule below:
2. Draw 3 shapes that FOLLOW your rule:
3. Draw 3 shapes that DO NOT follow it:
Swap with a partner. See if they can guess your secret rule based on your evidence!
Sorting Rule Answer Key Investigation Key
Guess My Sorting Rule Answer Guide
CASE #01
Quadrilateral Rule
Group A: Square, Rectangle, Rhombus
The Secret Rule:
"The shape has exactly 4 sides."
Test Shape Result:
YES (The test shape is a parallelogram, which has 4 sides.)
CASE #02
Equal Side Rule
Group A: Square, Rhombus, Equilateral Triangle
The Secret Rule:
"All sides of the shape are equal in length." (Regular Polygons)
Test Shape Result:
NO (The test shape is an isosceles trapezoid, sides are NOT all equal.)
Sleuth's Toolkit: Potential Rules
Encourage students to use these rules for their own "Field Mission #03":
Right Angle Rule
"The shape has at least one 90° angle."
Parallel Pair Rule
"The shape has two pairs of parallel sides."
Obtuse Angle Rule
"The shape has an angle greater than a square corner."
Vertex Count Rule
"The shape has more than 5 vertices (corners)."
Geometry Battleship Slides Target Acquisition Initialized
Geometry Battleship
Mission Control: Grid Search & Classification
Navigating the Grid
To find your target, you must read the coordinates correctly.
"Over and Up!"
X-Axis comes first (Horizontal)
Y-Axis comes second (Vertical)
TARGET IDENTIFIED: (3, 3)
To Sink a Shape...
1. Locate
Call out a coordinate: "I attack (4, 2)!"
2. Classify
If it's a hit, your opponent says: "You hit my ship!" You must then name the shape to damage it.
3. Confirm
"You hit my RHOMBUS !" If you name it correctly, the shape is SUNK!
Your Stealth Fleet
Square
(4 pts)
Rectangle
(4 pts)
Rhombus
(4 pts)
Trapezoid
(4 pts)
LAUNCH
Deploy your fleet to the grid.
Battleship Game Boards Mission: Geometry Battleship
Strategic Defense & Attack Grids
PILOT: _____________________
SECTOR: ________
My Stealth Fleet (Defense)
012345678910
012345678910
Mark your shapes by connecting 4 points. Ships: Square, Rectangle, Rhombus, Trapezoid.
Enemy Territory (Attack)
012345678910
012345678910
Mark HITS with an X and MISSES with an O.
Target Status Report
Ship Type Coordinates Hit Status Square _______________________ ☐ SUNK Rectangle _______________________ ☐ SUNK Rhombus _______________________ ☐ SUNK Trapezoid _______________________ ☐ SUNK
Comms Protocol
1. Call coordinate: "Attack (2, 5)!"
2. Opponent responds: "Hit!" or "Miss!"
3. If HIT, guess ship: "Is it your Trapezoid?"
4. Opponent confirms: "Correct! Sunk!"
Ship Classification Guide Ship Classification Guide
Battleship Reference File #404
Square
4 equal sides, 4 right angles. Opposite sides are parallel.
Rectangle
4 right angles, opposite sides are equal and parallel.
Rhombus
4 equal sides, opposite sides are parallel. (Looks like a diamond!)
Trapezoid
Exactly 1 pair of parallel sides. The other sides are not parallel.
Sleuth Strategy: The Hierarchy
Did you know?
A Square is actually a very special type of Rectangle AND a special type of Rhombus !
If your opponent says you hit a ship with "4 equal sides and 4 right angles," you can correctly call it a Square to sink it instantly!
Rectangle? Yes!
Rhombus? Yes!
Square? The Best!
"Accuracy is the difference between a hit and a miss. Identify your targets precisely."
Tangram Transformation Slides Tangram Transformation
The Art of Shape Composing
The Magic of Seven
A Tangram is a puzzle made of 7 pieces that form a large square.
2 Large Triangles
1 Medium Triangle
2 Small Triangles
1 Square & 1 Parallelogram
Compose
Putting smaller shapes together to make a New Shape .
=
Decompose
Breaking a large shape down into Smaller Polygons .
→
MISSION: SPEED TRANSFORMATION
Challenge #1
"Using ONLY 2 pieces, make a Square."
Wait for the signal...
3... 2... 1... GO!
Mission File Unlocked
Pick up your transformation mission log. Complete the 5 geometric builds to earn your Master Sleuth badge.
Tangram Template Tangram Master Template
OBJECTIVE: #GEOM-COMP
Large Triangle
Large Triangle
Medium Triangle
Small Tri
Small Tri
Square
Parallelogram
Instructions for Prep
Carefully cut along the thick black lines. You should have exactly 7 pieces . Once cut, write your initials on the back of each piece so they don't get mixed up during the transformation challenges!
Transformation Mission File Mission File: Transformation
Transformation Mission Log
Agent Status: Active • Geometry Guild #992
NAME: _________________________
1 The Dual Square
2 PIECES
Use exactly two pieces to form a Square . Once you find it, draw the line where they meet inside the box below.
2 The Triangle Giant
3 PIECES
Use three pieces to form a large Triangle . Draw your solution below.
3 The Parallelogram Shift
2 PIECES
Use two small triangles to form a Parallelogram . Draw your solution below.
FINAL MISSION
The Rectangle Riddle
"I am a rectangle. I am NOT a square. I must use 4 specific pieces to exist. Can you build me?"
List pieces used:
Escape Room Slides LOCKDOWN IN EFFECT
The Great Shape Escape
Your Knowledge is the Key
X
X
X
X
Mission Briefing
"The digital lock requires a 4-digit code. Each digit is hidden inside a geometric puzzle."
Work with your team to solve 4 Puzzles . Each answer will give you one piece of the code.
Puzzle 1
Hierarchy Riddle
Puzzle 2
Vertex Counter
Puzzle 3
Zoomed-In Angles
Puzzle 4
The Final Logic
Escape Protocols
Divide & Conquer
Everyone must contribute. One person reads, one writes, one checks the definitions.
Low Profile
Keep your voices down. You don't want other teams stealing your hard-earned digits!
The Clock is Ticking
You have 30 minutes to unlock the room. Every second counts.
Stuck on a Clue?
If your team is stumped, you may spend 2 minutes of your time for one "Sleuth Hint" from Mission Control.
Use Wisely
ESCAPE!
Begin Investigation Now
Escape Room Puzzle Pack Escape Room Puzzle Pack
Mission: Geometric Recovery • Sector 7-G
TEAM NAME: ________________
Top Secret
PUZZLE #01
The Identity Crisis
"I have four sides of equal length. I have four right angles. I am a Rectangle, a Rhombus, and a Square. How many vertices do I have?"
?
The First Digit:
The number of vertices in this shape is the first digit of your code.
PUZZLE #02
The Crowd Count
Add the total number of vertices in these three shapes together:
1 Trapezoid = ___
1 Regular Hexagon = ___
1 Triangle = ___
TOTAL = ___
The Second Digit:
Subtract 10 from the total count. The result is your second digit.
?
PUZZLE #03
Micro-Investigation
Look at this zoomed-in angle. Is it Right, Acute, or Obtuse?
RIGHT (Digit = 4)
ACUTE (Digit = 1)
OBTUSE (Digit = 8)
PUZZLE #04
The Final Gate
"I am a polygon with more than 3 sides but fewer than 5 sides. I have two pairs of parallel sides. All four of my sides are equal, but I do NOT have any right angles."
What shape am I?
The Fourth Digit is the number of letters in my name.
FINAL EXIT CODE
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Escape Room Teacher Manual Teacher Manual
Escape Room Setup & Solutions
Room Configuration
Physical Setup
- Divide class into teams of 4.
Atmosphere
- Dim the lights if possible.
Master Solution Key: Code 4387
Puzzle 1: The First Digit (4)
The shape described is a **Square**. A square has **4** vertices. Digit = 4.
Puzzle 2: The Second Digit (3)
Trapezoid (4) + Hexagon (6) + Triangle (3) = 13 total vertices. 13 - 10 = **3**. Digit = 3.
Puzzle 3: The Third Digit (8)
The zoomed-in angle is **Obtuse** (greater than 90 degrees). According to the menu, Obtuse = **8**. Digit = 8.
Puzzle 4: The Fourth Digit (7)
The shape is a **Rhombus**. The name R-H-O-M-B-U-S has **7** letters. Digit = 7.
Mission Control Hints
When a team asks for a hint, provide these guiding questions:
For P1: "If a shape is a rectangle and a rhombus at the same time, what is its special name?"For P2: "Count carefully—is a hexagon 6 or 8? Remember 'hexa-' means six."For P3: "Compare that angle to the corner of your paper. Is it wider or narrower?"For P4: "It's like a square that's leaning over, but it still has 4 equal sides." 
