Term Takedown

Solve: \(x = 30^\circ\)  (Angles are \(30^\circ, 70^\circ, 80^\circ\))

Sector Alpha Maximum Available Watts: 720 Watts Continued on Page 2 for Missions 7–12 & Rubric →

Teacher Guide & Key

Missions 7–12 & Evaluation Guide

Step-by-Step Derivations • Boss Vault Breakdown • Scoring Rubric

Classroom Resource Page 2 of 2

#7: Theme Park Pass Bundle 150W

Setup: \(k =\) kid passes

Raw Eq: \(25k + 240 + 12k + 45 = 766\)

Combine: \((25k + 12k) + (240 + 45) = 37k + 285 = 766\)

Solve: \(37k = 481 \implies k = 13\text{ kid passes}\)

#8: Tech Repair Overtime 150W

Setup: \(h =\) regular hours, OT \(= h - 4\)

Raw Eq: \(22h + 33(h - 4) + 55 = 363 \implies 22h + 33h - 132 + 55 = 363\)

Combine: \(55h - 77 = 363 \implies 55h = 440\)

Solve: \(h = 8\text{ regular hours}\)

#9: Garden Fence Perimeter 160W

Setup: \(x =\) width, Length \(= 2x + 7\)

Raw Eq: \(2(2x + 7) + 2(x) = 86 \implies 4x + 14 + 2x = 86\)

Combine: \(6x + 14 = 86 \implies 6x = 72\)

Solve: \(x = 12\text{ ft}\)  (Dimensions: \(12\text{ ft} \times 31\text{ ft}\))

#10: Book Fair Match Fund 160W

Setup: \(d =\) Room A dollars

Raw Eq: \(d + (d + 40) + (2d - 30) + 50 = 620\)

Combine: \((d + d + 2d) + (40 - 30 + 50) = 4d + 60 = 620\)

Solve: \(4d = 560 \implies d = \$140\text{ raised}\)

#11: Fitness Training Package 180W

Setup: \(s =\) number of personal training sessions

Raw Eq: \(35 + 28s + 45 - 20 + 2s = 240\)

Combine: \((28s + 2s) + (35 + 45 - 20) = 30s + 60 = 240\)

Solve: \(30s = 180 \implies s = 6\text{ sessions}\)

#12: BOSS: Esports Arena 250W

Setup: \(g =\) Alpha original pts

Raw Eq: \(g + (3g - 120) + (2g + 80) + g = 3460\)

Combine: \((g + 3g + 2g + g) + (-120 + 80) = 7g - 40 = 3460\)

Solve: \(7g = 3500 \implies g = 500\text{ points}\)

Grading & Assessment Rubric

• Variable Definition (1 pt): Clearly states unknown with units.
• Combining Terms (2 pts): Explicitly demonstrates grouped variable and constant terms before inverse operations.
• Calculation & Units (1 pt): Accurate arithmetic and contextual label (e.g., meters, passes, dollars).

Differentiated Game Variations

• Co-Op Boss Raid: All players pool Watts to reach 1,200W before 8 total turns expire.
• Scaffolded Support: Allow students to use colored highlighters (e.g. yellow for \(x\)-terms, blue for constants).
• Speed Run: First player to solve 4 correct consecutive cards claims the Circuit Crown.

Total Combined Game Value: 1,770 Watts across all 12 Missions Term Takedown Board Game • Complete Answer Key & Teacher Resource