Mathematical Proof: The suspect claimed the was , but the correct value is because:
SET A
Cut out or solve in stations
TASK CARD 01 CAFETERIA
The crew needs new non-slip floor tiles installed. The rectangular dining space measures 8 meters long and 5 meters wide.
8 m 5 m
Cafeteria Tile Grid
5 m 8 m
A. Calculate the Perimeter for wall baseboards:
B. Calculate the Area for floor tiles needed:
Alibi Check: Crew Blue claimed an Area of 40 m². Does your math agree?
TASK CARD 02 MEDBAY
A biological quarantine perimeter line must surround the patient isolation ward. The rectangular ward is 11 meters long and 6 meters wide.
11 m 6 m
Isolation Ward
6 m 11 m
A. Calculate the Perimeter for the warning line:
B. Calculate the Area of the isolation floor:
Alibi Check: Crew Red claimed the Perimeter is 28m. Does your math agree?
TASK CARD 03 ENGINE ROOM
Engineers are installing vibration dampers under the hyperdrive generator. The generator base is 10 meters long and 4 meters wide.
10 m 4 m
Hyperdrive Base
4 m 10 m
A. Calculate the Perimeter of the dampener frame:
B. Calculate the total Area of insulation required:
Alibi Check: Crew Yellow claimed an Area of 40 m². Does your math agree?
TASK CARD 04 NAVIGATION
The bridge navigation platform has holographic sensor strips around all edges. The room platform is 9 meters long and 7 meters wide.
9 m 7 m
Sensor Platform
7 m 9 m
A. Calculate the Perimeter of sensor strip needed:
B. Calculate the Area of holographic glass:
Alibi Check: Crew Green claimed a Perimeter of 32m. Does your math agree?
PAGE 2 OF 3 • RECORD ALL ANSWERS ON YOUR DETECTIVE DOSSIER (PAGE 1)
SET B
Real-world spaceship problems
TASK CARD 05 CARGO BAY
Emergency oxygen supply crates each occupy 1 m² of floor space. The cargo bay floor measures 14 meters long and 6 meters wide.
14 m 6 m
Oxygen Crate Bay
6 m 14 m
A. Calculate the Area (how many 1 m² crates fit):
B. Calculate the Perimeter of the cargo bay:
Alibi Check: Crew Purple claimed an Area of 84 m². Does your math agree?
TASK CARD 06 COMMS ARRAY
The deep-space antenna transmitter pad needs a safety rail along its exterior edge. The rectangular pad is 7 meters long and 3 meters wide.
7 m 3 m
Antenna Pad
3 m 7 m
A. Calculate the Perimeter for the safety rail:
B. Calculate the Area of the antenna platform:
Alibi Check: Crew Orange claimed a Perimeter of 20m. Does your math agree?
TASK CARD 07 SHIELD GENERATOR
The deflector shield bay requires high-voltage perimeter cable. The chamber measures 15 meters long and 9 meters wide.
15 m 9 m
Shield Generator Chamber
9 m 15 m
A. Calculate the Perimeter for the conduit line:
B. Calculate the Area of the chamber floor:
Bonus Clue: Is 15 × 9 equal to 135 m²? Verify your multiplication!
TASK CARD 08 REACTOR CORE
Technicians are replacing cooling grid floor panels and warning borders. The reactor floor is 12 meters long and 8 meters wide.
12 m 8 m
Cooling Grid Floor
8 m 12 m
A. Calculate the Perimeter for yellow hazard tape:
B. Calculate the total Area of cooling tiles:
Final Verification: Double-check all measurements before voting!
PAGE 3 OF 3 • CALL AN EMERGENCY MEETING TO PRESENT YOUR PROOF!
VERIFIED ENGINEERING DATA • VESSEL ATHENA
SOLUTION MASTER
| Task | Sector | Dimensions | Perimeter Work & Solution | Area Work & Solution |
|---|---|---|---|---|
| Card 01 | Cafeteria | \(8\text{m} \times 5\text{m}\) | \(2(8) + 2(5) = 16 + 10 =\) 26 m | \(8 \times 5 =\) 40 m² |
| Card 02 | MedBay * | \(11\text{m} \times 6\text{m}\) | \(2(11) + 2(6) = 22 + 12 =\) 34 m | \(11 \times 6 =\) 66 m² |
| Card 03 | Engine Room | \(10\text{m} \times 4\text{m}\) | \(2(10) + 2(4) = 20 + 8 =\) 28 m | \(10 \times 4 =\) 40 m² |
| Card 04 | Navigation | \(9\text{m} \times 7\text{m}\) | \(2(9) + 2(7) = 18 + 14 =\) 32 m | \(9 \times 7 =\) 63 m² |
| Card 05 | Cargo Bay | \(14\text{m} \times 6\text{m}\) | \(2(14) + 2(6) = 28 + 12 =\) 40 m | \(14 \times 6 =\) 84 m² |
| Card 06 | Comms Array | \(7\text{m} \times 3\text{m}\) | \(2(7) + 2(3) = 14 + 6 =\) 20 m | \(7 \times 3 =\) 21 m² |
| Card 07 | Shields Bay | \(15\text{m} \times 9\text{m}\) | \(2(15) + 2(9) = 30 + 18 =\) 48 m | \(15 \times 9 =\) 135 m² |
| Card 08 | Reactor Core | \(12\text{m} \times 8\text{m}\) | \(2(12) + 2(8) = 24 + 16 =\) 40 m | \(12 \times 8 =\) 96 m² |
SABOTEUR IDENTIFIED: Crew Red
THE FALSE ALIBI: Crew Red claimed: "The quarantine zone is 11m by 6m. The perimeter barrier is 28m!"
THE MATHEMATICAL PROOF: A rectangular room measuring 11m by 6m has a true perimeter of: \[P = 2l + 2w = 2(11) + 2(6) = 22 + 12 = 34\text{ meters}\] Red’s claimed value of 28m is impossible. Red likely made an error or fabricated their inspection log! All other 5 crew suspects made completely accurate mathematical statements and are cleared.
Scaffolding Support:
Extension / Early Finishers:
VESSEL ATHENA • CONFIDENTIAL TEACHER DOCUMENTATION • KEEP OUT OF STUDENT SIGHT
