Teaching LinkedIn Zip #493: students sketch one checkpoint hop at a time on this 7×7 board. 8 checkpoints, 22 walls. Walk the 7 segments before drawing the full line.
Board spotlight: Many blocked edges narrow your options early — map wall bottlenecks before tracing toward the next numbered checkpoint. Wall count 22 on 7×7 shapes which corridors stay open between numbered cells.
Lesson hop 1: show why the path must pass through R4C5 before checkpoint 2. 6 cells link checkpoint 1 at R5C5 to checkpoint 2 at R4C5 with open corridors (no walls on this segment).
Lesson hop 2: show why the path must pass through R3C5 before checkpoint 3. Tight 2-cell hop — checkpoints 2 and 3 sit near each other; still visit every intervening cell exactly once.
Lesson hop 3: show why the path must pass through R5C4 before checkpoint 4. Long 18-cell sweep (37% of the board) from checkpoint 3 to 4 — most of the Hamiltonian path lives in this detour.
Lesson hop 4: show why the path must pass through R4C3 before checkpoint 5. Tight 3-cell hop — checkpoints 4 and 5 sit near each other; still visit every intervening cell exactly once.
Lesson hop 5: show why the path must pass through R3C3 before checkpoint 6. 6 cells link checkpoint 5 at R4C3 to checkpoint 6 at R3C3 with open corridors (no walls on this segment).
Lesson hop 6: show why the path must pass through R3C4 before checkpoint 7. Tight 2-cell hop — checkpoints 6 and 7 sit near each other; still visit every intervening cell exactly once.
Lesson hop 7: show why the path must pass through R5C3 before checkpoint 8. Long 18-cell sweep (37% of the board) from checkpoint 7 to 8 — most of the Hamiltonian path lives in this detour.
Recap: 8 checkpoints, 7 teachable hops, one continuous route. Replay using checkpoint-first planning.