Power In, Power Out — Student Live RC2

Classroom Control Network

POWER IN,POWER OUT

Choose how this device will enter the Power In, Power Out classroom. Teachers open the command dashboard. Students sign in with the class code and wait for teacher approval.

Live Roster

Student Progress

Approve students, then watch their current stage and facility progress.

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Student Access

Connect to Power In, Power Out

…

WAITING FOR TEACHER APPROVAL

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REQUEST SENT

System Failure Detected

POWER IN,POWER OUT

The facility is dark. Energy pathways are offline. Your first mission is to move the outside factor IN to every term and restore every branch of the system.

⚡ POWER IN · Distribute

◉ POWER OUT · Factor

◆ FINAL · Core Control

12%CORE OUTPUT

⚠ CRITICAL POWER LOSS

Primary conduits offline. Manual routing required.

Part 1 · Power In Training

Make the 4 reach BOTH terms.

The picture and the algebra will change together. Follow the glowing action only—one step at a time.

Start with

4(2x + 3)

The 4 is outside the parentheses.
That means: 4 × 2x and 4 × 3.

4

4OUTSIDE FACTOR

SEND ONE 4 TO EACH TERM

4

1 · SEND 4

2 · BOTH TERMS

3 · MULTIPLY

4 · COMBINE

YOUR MOVE

4(2x + 3)

Tap 2x and 3 so each term receives a 4.

TRAINING COMPLETE4(2x + 3) = 8x + 12The 4 multiplied every term inside the parentheses.

Game 1 · Core Activation

Restore the five power sectors.

Route the outside factor to both branches, solve each multiplication, and lock the completed circuit. Every restored sector increases Core output.

Sector 1 · Intake Grid

CORE 0%

STREAK 0

FAULTS 0

3(x + 4)

01ROUTE POWER: send a copy of 3 to BOTH terms.

Branch A

x

3 × x = ?

3

3Main Core

3

Branch B

+ 4

3 × 4 = ?

CIRCUIT OUTPUT

Route and solve both branches

Facility Grid LIVE NETWORK

01INTAKEGRID

02RELAYCHAMBER

03COOLINGARRAY

04MAGNETICRING

05MAINREACTOR

SYSTEM: Sector 1 offline.

Send the Core to both terms. Then solve each branch. The circuit will not lock until both products are correct.

FIRST-TRY ENERGY STREAK

0

Solve both products without a miss to increase the streak.

ALL FIVE SECTORS ONLINE

CORE ACTIVATED

Power In is restored. The facility is ready for the next phase.

DEV NOTE: These five expressions are development placeholders for testing the mechanic. Final curriculum/math bank will be set later.

Phase Change · Core Overload

TOO MUCH POWER.REVERSE THE FLOW.

You restored the facility by moving the outside factor IN to every term. Now the reactor is overloaded. To stabilize it, find the highest factor both terms share and pull that shared factor OUT of the terms.

POWER INOutside factor moves into every term

⇠

POWER OUTHighest shared factor is pulled out

⚠ CORE OUTPUT 147% · OVERLOAD

12xBRANCH A

REVERSEFLOW REQUIRED

18BRANCH B

Energy is being pulled back toward the center. Next, you will decide which shared factor belongs in the Core.

Part 2 · Power Out Training

Find the highest shared factor. Then pull it out.

Watch the multiplication structure change in four moves: factors → highest shared factor → rewrite → pull out.

START WITH

12x + 18

Your mission: find the highest factor shared by 12 and 18. Pull that shared factor outside; the factors left over stay inside ( ).

TERM 112x

FACTOR SCAN

1 × 12

2 × 6

3 × 4

FACTORS OF 12

1234612

TERM 218

FACTOR SCAN

1 × 18

2 × 9

3 × 6

FACTORS OF 18

1236918

1, 2, 3, AND 6 ARE IN BOTH LISTS. WHICH IS THE HIGHEST?

TERM 112x

SHARED6HIGHEST

TERM 218

THE 6s MOVE OUT — THESE REMAINING FACTORS STAY AND BECOME THE INSIDE (2x+3)

12x + 18=?(?+?)

OUTSIDE: highest shared factorINSIDE: remaining factors

Step 1: Reveal the factors of 12 and 18.

POWER OUT TRAINING COMPLETE12x + 18 = 6(2x + 3)6 is outside. The remaining factors 2x and 3 stay inside the parentheses.

Part 2 Game · Power Out

CORE STABILIZATION

CORE STABLE0%

STREAK0

FAULTS0

SECTOR 1 · CONTAINMENT RING

15x

+

25

TERM A15x

FACTOR ARRAY

Factor scan locked.

BUILD THE MULTIPLICATION

?·=15x

?

SHARED FACTOR?FIND THE HIGHEST

HIGHEST FACTOR IN BOTH LISTS?

TERM B25

FACTOR ARRAY

Factor scan locked.

BUILD THE MULTIPLICATION

?·=25

01

LIVE COMMANDSCAN BOTH TERMSReveal the multiplication factors for both coefficients.

THE SHARED FACTOR MOVES OUT — THE REMAINING FACTORS STAY INSIDE(3x+5)

FACTORIZATION LOCKED15x + 25 = 5(3x + 5)Highest shared factor outside. Remaining factors stay inside ( ).

Part 3 · Mixed Practice

CORE CONTROL

SYSTEMS0/8

FAULTS0

STREAK0

CONTROL TASK 1 OF 8

Choose the equivalent expression.

3(2x + 5)

Restore the first facility system.

Facility Systems // Offline

01Cooling Fans

02Energy Conduits

03Magnetic Ring

04Shield Panels

05Generator Coils

06Lift Platform

07Control Tower

08Main Relay

FACILITY RESTORATION0%

ALL SYSTEMS ONLINECORE CONTROL MASTEREDYou used both distributive property and factoring to restore the entire facility.

Final Challenge · Main Core

CHOOSE THE POWER DIRECTION

First decide whether the expression needs Power Out or Power In. Then solve it.

CORE0%

FAULTS0

MAIN CORE TASK 1 OF 6

4(3x + 2)

NOW SOLVE

Choose the direction first.

MAIN CORE ASSEMBLYFLOOR RING OFFLINECorrect answers physically rebuild the Core.

FACILITY RESTOREDFULL POWERPower Out and Power In are both online.

POWER OUT · FACTOR0/0

POWER IN · DISTRIBUTE0/0

FAULTS0