Math Maze is a fixed three-by-three keyboard puzzle in which you start at 8, apply operation tiles in travel order, and reach the bottom-right goal with exactly 10. That definition gives another person the whole objective in one breath: the grid does not change, the arrow keys control movement, and the final location and final number must both be correct.
When explaining the game, begin with the objective, separate movement from arithmetic, demonstrate the known route, and then cover the trap and scoring. Practicing beside Math Maze lets you point to the current tile, show what a blocked press does, and watch the running total update after every accepted move.
Open with a one-sentence rules statement
Use a short script rather than a long list of technical details. A useful explanation is: “You begin at 8 and use only the arrow keys to move onto connected operation tiles. Apply each operation as you travel. The goal is at the bottom right, and you win only when your total is exactly 10 when you arrive there.” This wording separates navigation from arithmetic while making both requirements clear.
- Point to the tile showing 8 and call it the start.
- Name the arrow keys as the only movement controls.
- Explain that a move must enter an adjacent, connected operation tile that has not already been visited.
- Say that each operation changes the running total when you enter its tile.
- State the complete win test: bottom-right position and a final value of exactly 10.
After giving the statement, ask the listener to repeat the goal without looking: “bottom-right goal, final total exactly 10.” If they remember only “get to 10,” correct that immediately because producing 10 on an earlier tile does not complete the puzzle.
Separate movement, arithmetic, and completion
Divide the game into three systems. Movement determines whether a key press reaches a legal neighboring tile, arithmetic changes the running total, and completion checks the position and value together. Teaching these as separate ideas prevents the confusing assumption that every number calculated along the route is a possible finish.
| Rule | Exact meaning in Math Maze | Teaching cue |
|---|---|---|
| Start | The initial tile shows 8. | Point to it before discussing any operation. |
| Movement | Use the arrow keys to enter an adjacent operation tile only when it shares a declared passage and has not been visited. | Not every neighboring square is connected. |
| Blocked move | A wall, closed passage, cell without a passage, or visited tile does nothing. | There is no movement and no score deduction. |
| Arithmetic | Apply the operation on each entered tile in the order traveled. | Say the operation as the route unfolds. |
| Revisiting | A visited tile cannot be crossed or used again. | The route cannot be walked backward. |
| Completion | Reach the bottom-right goal with a final total of exactly 10. | Both position and number must be right. |
| Score | The score starts at 1,000, and each successful move subtracts 50 points, with a minimum of zero. | Only successful moves count as actions. |
| Deadlock | If no unvisited connected tile remains, the game immediately reports a deadlock. | A wrong branch can end the run. |
| Result integrity | The logic rejects a nonfinite or noninteger result, and reaching the goal with the wrong total is not completion. | The running total must remain a whole number and finish at 10. |
When reading the table, distinguish a blocked press from a dead end. A blocked press asks for a wall or a tile with no declared passage and simply does nothing. A dead end occurs after a successful move leaves no unvisited connected tile available. The first is ignored; the second ends the run with a deadlock notice.
Show the winning route step by step
- Start on the tile showing 8. Press Right to enter the division-by-2 tile.
- Press Right again to enter the addition-by-3 tile.
- Press Down to enter the multiplication-by-2 tile.
- Press Down again to enter the subtraction-by-4 tile and arrive at the bottom-right goal.
Worked route: (8 ÷ 2 = 4) → (4 + 3 = 7) → (7 × 2 = 14) → (14 − 4 = 10).
That sequence is the complete worked example: division, addition, multiplication, and subtraction each occur once. The order of the arrow presses and the order of the arithmetic are the same thing here. While demonstrating, connect each direction to its operation so the listener hears “right, divide,” “right, add,” “down, multiply,” and “down, subtract.” The clean four-move route scores 800 points.
Show why the wrong branch cannot continue
The deliberate trap is the first Down press. It subtracts 3 from the starting total and leaves the runner at 5 in a cul-de-sac. That cell’s only neighbor is the start tile, which has already been visited. Because a visited tile cannot be used again, there is no legal way back. Math Maze recognizes the dead end immediately and stops rather than leaving a board that looks active but cannot be completed.
- Call the first Down branch a deadlock, not merely a bad move.
- Do not promise that the listener can backtrack after applying an operation.
- Explain that a blocked arrow press and a deadlock are different events.
- Use Restart after a dead end: it returns to Start 8, erases the route, restores 1,000 points, and clears the completion or deadlock state.
If the listener is likely to forget the difference between a dead end and a blocked key, the companion guide to common mistakes in Math Maze provides a focused reinforcement reference. For the scoring point specifically, use the explanation of whether blocked arrow presses reduce the score in Math Maze as a concise follow-up.
Use teach-back to confirm understanding
Do not rely on the other person repeating your words. Ask them to point, predict, and demonstrate. A clear explanation should let them perform the task without needing the solution repeated at every turn.
- Ask them to point to the starting tile and state the initial value.
- Ask which keys control movement and which directions they represent.
- Ask what makes a neighboring tile a legal destination.
- Ask when the operation is applied and why the order cannot be rearranged.
- Ask what happens after the first Down press and whether the route can be reversed.
- Ask them to state the complete win condition without saying only “reach 10.”
If the listener can explain that a win requires the bottom-right goal and a final total of exactly 10, they understand the essential rule. If they confuse a blocked press with a dead end, repeat those two cases separately. If they understand the route but not the objective, return to the one-sentence rules statement before trying another run.
State the product limits plainly
These are the rules of this particular fixed Lizely puzzle, not a claim that every printable or online Math Maze uses the same layout. Make that distinction so the explanation stays accurate and does not accidentally describe a different game as though it used these exact rules.
- The route puzzle is a fixed three-by-three grid rather than a randomly generated maze.
- Movement uses the arrow keys; there is no pointer-only movement action.
- The game has no timer, audio, account, or special-hardware requirement.
- Producing exactly 10 before reaching the bottom-right goal does not complete the run.
- Restart restores the initial tile, clears the traveled route, and resets the score to 1,000.
- A completed best score is stored only in the current browser.
The most reliable teaching order is therefore objective, controls, movement restrictions, operation order, win condition, and dead-end behavior. Once those ideas are clear, the Right, Right, Down, Down demonstration gives the listener a concrete route that demonstrates every part of the rules without relying on guesswork.