Operation Escape Student Booklet
SCHOOL'S OUT FOR SUMMER v2.0
FINAL LOCKER OVERRIDE
SUN & SURF COORDINATES
SUMMER COUNTDOWN PROTOCOL
Summer Vacation Breakout!
MISSION: DECODE THE LOCKERS & RING THE FINAL BELL
NAME: ___________________
ROOM: ______
The Final Lockdown: The school year is officially ending in 30 minutes! But wait—the automatic exit gate is jammed by an electronic lockdown code. Clean out your locker, solve the gear equations (Gears A-H), translate your code keys, and bypass the principal's lock-out clock to escape to summer vacation!
PEMDAS PRIORITY GUIDE:
1. Parentheses • 2. Exponents
3. Mult/Div (L to R) • 4. Add/Sub
Module 1: Locker Gear Combinations
Calculate carefully to packing your summer things!
[ GEAR A ] \( (2^3 + \frac{1}{2} \times 32) \div (24 \div (2 \times 4)) + 8 \)
Locker Workspace & Answer:
[ GEAR E ] \( (2^4 - 2^2 \times 3) \div 4 + 4 \times \frac{1}{2} \)
Locker Workspace & Answer:
[ GEAR B ] \( 15 - (2^2 \times (12 - 9)) \div 12 \times (33 \times \frac{1}{3}) \)
Locker Workspace & Answer:
[ GEAR F ] \( 2^3 - (3^2 - 6 \times \frac{1}{2}) \div 2 \)
Locker Workspace & Answer:
[ GEAR C ] \( (5^2 - (3^2 + 3 \times 2)) \div 2 + \frac{1}{2} \times 4 \)
Locker Workspace & Answer:
[ GEAR G ] \( (2^5 - 2 \times 3) \div \frac{1}{2} - 32 \)
Locker Workspace & Answer:
[ GEAR D ] \( 2^3 \times (3^2 - 7) - 48 \div (2 \times 3) \times (2 \times \frac{1}{2}) \)
Locker Workspace & Answer:
[ GEAR H ] \( (3^2 + 15) \times \frac{1}{2} \)
Locker Workspace & Answer:
LOCKER CIPHER KEY
3 = L
4 = E
5 = O
7 = A
8 = R
12 = K
16 = G
20 = C
WORD 1: PACK YOUR...
WORD 2: TO OPEN THE...
Summer Vacation Breakout!
MISSION: PLOT THE BEACH ESCAPE ROUTE
PAGE 2
Module 2: The Beach Escape Pathway
| PATH ID | EQUATION & STATUS VERIFICATION | VALUE IF TRUE |
|---|
| PATH 1 | \( (5^2 - 5) \times \frac{1}{5} \div 5 \times 2^3 = 8 \) | FALSE |
| PATH 2 | \( 72 \div (2^2 \times (9 - 6)) = 6 \) | Letter "B" |
| PATH 3 | \( 10^2 - (2^3 + 2) \times 3^2 = 270 \) | FALSE |
| PATH 4 | \( (2^5 + 13) \div (3^2 - 6) - \frac{1;}{2} \times 2 = 14 \) | Letter "E" |
| PATH 5 | \( 3^2 \times (24 \div (2 \times 2^2)) = 27 \) | Letter "A" |
| PATH 6 | \( 2^4 + 6 \div 2 - 3 = 8 \) | FALSE |
| PATH 7 | \( (2^3 + 3 \times 4) \div (5^2 - 23) = 10 \) | Letter "C" |
| PATH 8 | \( 90 \div (3 \times (2^2 - 2)) + 5^2 = 40 \) | Letter "H" |
PATH #3 EVIDENCE LOG (WHY IS IT FALSE?): _______________________________________________
PATH #6 EVIDENCE LOG (WHY IS IT FALSE?): _______________________________________________
Module 3: Principal's Summer Vacation Countdown Clock
[ CLOCK OVERRIDE A ] \(2^3 \text{ [ ] } (10 \times \frac{1}{2}) \text{ [ ] } 3 = 37\)
[ CLOCK OVERRIDE B ] \(3^2 \text{ [ ] } (12 - 4) \text{ [ ] } 2^3 = 80\)
[ CLOCK OVERRIDE C ] \((5^2 \text{ [ ] } (10 \times \frac{1}{2})) \text{ [ ] } (2^3 - 6) = 10\)
OPERATOR TRANSLATOR: \(+\)=1, \(-\)=2, \(\times\)=3, \(\div\)=4
Clock Code:
OVERRIDE MASTER GATE TERMINAL (SUMMER PROTOCOL)
CODES 1 & 2 (LOCKER GEARS)
CODE 3 (BEACH MAZE)
CODE 4 (COUNTDOWN CLOCK)
Operation Escape Teacher Key
Operation Escape Teacher Key
CONFIDENTIAL FACILITATION MANUAL • PAGE 1
SUMMER VACATION KEY
Teacher Overview: Solutions manual for the 2-page Summer Breakout. Double-check students' scratchpad work on their booklets to verify step-by-step PEMDAS execution.
Module 1 Gear Solutions (Summer Gear & Lockers)
[ GEAR A ] \( (2^3 + \frac{1}{2} \times 32) \div (24 \div (2 \times 4)) + 8 \)
\( 2^3 = 8\), \(\frac{1}{2} \times 32 = 16 \rightarrow (8+16)=24\).
\( 24 \div (24 \div 8) = 24 \div 3 = 8\).
Resolve: \(8 + 8 = \) 16 (G)
[ GEAR E ] \( (2^4 - 2^2 \times 3) \div 4 + 4 \times \frac{1}{2} \)
Parentheses: \(16 - 12 = 4\).
Division: \(4 \div 4 = 1\). Fraction: \(4 \times \frac{1}{2} = 2\).
Resolve: \(1 + 2 = \) 3 (L)
[ GEAR B ] \( 15 - (2^2 \times (12 - 9)) \div 12 \times (33 \times \frac{1}{3}) \)
\(12-9=3\). \(2^2=4 \rightarrow 4 \times 3 = 12\). Frac: \(33 \times \frac{1}{3} = 11\).
L-to-R: \(12 \div 12 \times 11 = 11\).
Resolve: \(15 - 11 = \) 4 (E)
[ GEAR F ] \( 2^3 - (3^2 - 6 \times \frac{1}{2}) \div 2 \)
\(6 \times \frac{1}{2} = 3\). \(3^2 - 3 = 9 - 3 = 6\).
Division: \(6 \div 2 = 3\). Exponent: \(2^3=8\).
Resolve: \(8 - 3 = \) 5 (O)
[ GEAR C ] \( (5^2 - (3^2 + 3 \times 2)) \div 2 + \frac{1}{2} \times 4 \)
Inner: \(9 + 6 = 15\). Brackets: \(25 - 15 = 10\).
Div: \(10 \div 2 = 5\). Fraction: \(\frac{1}{2} \times 4 = 2\).
Resolve: \(5 + 2 = \) 7 (A)
[ GEAR G ] \( (2^5 - 2 \times 3) \div \frac{1}{2} - 32 \)
Parentheses: \(32 - 6 = 26\).
Fraction Division: \(26 \div \frac{1}{2} = 52\).
Resolve: \(52 - 32 = \) 20 (C)
[ GEAR D ] \( 2^3 \times (3^2 - 7) - 48 \div (2 \times 3) \times (2 \times \frac{1}{2}) \)
\(3^2 - 7 = 2\). Left product: \(8 \times 2 = 16\).
Right product: \(48 \div 6 \times (2 \times \frac{1}{2}) = 8 \times 1 = 8\).
Resolve: \(16 - 8 = \) 8 (R)
[ GEAR H ] \( (3^2 + 15) \times \frac{1}{2} \)
Parentheses: \(3^2 + 15 = 9 + 15 = 24\).
Fraction multiplication: \(24 \times \frac{1}{2} = 12\).
Resolve: \(24 \times \frac{1}{2} = \) 12 (K)
CHAMBER CIPHER KEY OVERRIDES
3 = L
4 = E
5 = O
7 = A
8 = R
12 = K
16 = G