Logic Grid: Deduce the Only Match That Fits Every Clue
Use fresh person-and-item clues to mark a logic grid.
Where Does the Deduction Slip — When Three Clues Interact and Every Exclusion Has to Live in Your Head?
Use fresh person-and-item clues to mark a logic grid. Each clue set determines one assignment; Next and Play Again generate new puzzles.
From First Clues to the Elimination Habit That Formal Proof Rewards
Logic Grid leans on the one-to-one correspondence and systematic reasoning students first meet in pattern rules and word problems (5.OA.B.3; 6.EE.B.5, testing whether a value satisfies a condition). The elimination and justify-every-step discipline it grows feeds straight into 7.EE.B.4 constraint solving and the argument construction expected in systems work and early proof (MP3). It is a natural bridge from spotting arithmetic patterns to defending a conclusion.
Three Deduction Skills Practiced in the Logic Grid
- Eliminate person–item matches using negative clues
- Apply one-to-one correspondence with one confirmed match per row and column
- Combine clues to derive the unique assignment
Three Moves to Deduce: Read, Mark, Verify
- Read the negative person–item clues and mark excluded cells with ✗.
- Keep one correct match per row and column; mark a confirmed match ✓ and eliminate conflicts.
- Complete every assignment and check it. Next or Play Again generates a new clue set.
Five-Minute Teacher Routine: Justify Every No Mark
Ask students to name the clue behind each no mark. If they can justify the elimination, the grid is becoming a reasoning record rather than a guessing board.
Logic Grid Questions Teachers Hear
Q: How can I solve clues that only exclude matches?
A: Remove the forbidden cells, then use one match per row and column to narrow the remaining candidates.