What students learn
An ordered pair is a set of directions from the origin: the first number (x) says how far to go left or right, and the second number (y) says how far to go up or down. Every turn of the game practices that rule twice: once when the student fires, and once when they find the computer's shot on their own board.
- Easy (First Quadrant): x and y from 0 to 6, with the origin in the bottom-left corner. No negative numbers.
- Standard (Full Coordinate Plane): x and y from −3 to 3, with the origin in the center. Positive and negative coordinates, points on both axes, and all four quadrants.
- Hard (Coordinate Commander): the same −3 to 3 plane with a 35-second timer, fully typed ordered pairs, enemy shots described in words, and short Radar Check questions about quadrants and coordinates.
How the game works
- Placing the fleet: Boat Buddy covers 3 points and Giant Galley covers 4. Ships sit on the grid points (not in squares), horizontally or vertically, and can lie on an axis or across the origin. Students drag them on, click to rotate, or press Randomize Ships. The game refuses ships that would go off the board or overlap, and says why.
- Firing: students type x, then y (Easy and Standard have two boxes; Hard needs the whole pair, parentheses and comma included). Only whole numbers on the board are accepted.
- The plane: after every shot, a small plane starts at the origin, flies left or right for x, turns in place, then flies up or down for y. Each leg is labeled ("2 right", "3 down"). Then the shot lands: an X for a miss, a flame for a hit.
- Repeated shots are allowed on purpose. A student who types (3, 2) when they meant (2, 3) sees the plane land in the wrong place, and the miss stays on the board. The shot log lists every shot, so reversed pairs are easy to spot.
- The computer's turn: the computer names a coordinate and the student must click (or arrow-key to) that point on their own board. A wrong pick says what went wrong ("Your y-coordinate is correct, but your x-coordinate should move RIGHT, not LEFT", "Check the order!") and adds a stronger hint each time: x comes first; start at the origin and move left or right first; the exact moves; and on the fourth try the path is drawn on the board.
- The computer plays fair: its ships are placed at random every game, it never fires at the same point twice, and after a hit it searches the points above, below, left and right before following the ship's direction.
- Hard mode wording: the computer's shots come in many forms, often with y first: "The y-coordinate is −2 and the x-coordinate is 3", "Move 2 units down and 3 units right", "3 units to the right of the y-axis and 2 units below the x-axis". The answer is always (3, −2).
- Radar Checks (Hard): between turns students answer one question before their next shot: which quadrant a point is in (or whether it's on an axis), the coordinates of a highlighted point, which number is x or y, which way to move first, positive or negative x or y, which point is farther right or higher, which point is in a given quadrant, or which pair has a negative x-coordinate.
- The timer (Hard): if time runs out on a shot, that shot is lost; on the computer's shot, the game shows where it lands; on a Radar Check, the answer is shown and explained, then play continues.
Worked examples
Plotting (−2, 3): Start at the origin.
x = −2: move 2 units LEFT y = 3: then move 3 units UP
Reading the words: "The y-coordinate is −2 and the x-coordinate is 3."
x always goes first, so the point is (3, −2), not (−2, 3)
Quadrants: Which quadrant is (2, −3) in?
x positive (right), y negative (down) Quadrant IV
On an axis: Where is (0, −2)?
x = 0, so the point is ON the y-axis. It is not in any quadrant.
Common mistakes
- Reversing x and y. Students plot (3, 2) for (2, 3). The plane always flies sideways first, and repeated shots are allowed so the reversed miss stays visible.
- Wrong direction for a negative. Going right for x = −2, or up for y = −3. The feedback names which coordinate went the wrong way.
- Calling an axis point part of a quadrant. (0, 2) and (−3, 0) are on an axis, not in a quadrant. Radar Checks include these on purpose.
- Reading in the order given. In Hard mode, "the y-coordinate is 1 and the x-coordinate is −3" is still (−3, 1).
Ways to use it in class
- Printables. A free worksheet with an answer key and a two-to-a-page exit ticket match this game, ready to print or save as a PDF.
- Build up the modes. Start with Easy when the coordinate plane is new, move to Standard once negative numbers are introduced, and use Hard as a challenge or review.
- Pairs. One student fires while the partner predicts out loud where the plane will turn before it flies.
- Unplugged follow-up. After a few games, students play a paper version in pairs on graph paper: each draws a −3 to 3 plane, hides two ships on points, and calls out ordered pairs.
Discussion questions
- Why does the plane always fly left or right before it flies up or down?
- (2, 3) and (3, 2) use the same numbers. Why are they different points?
- How can you tell which quadrant a point is in just from the signs of its coordinates?
- Why isn't (0, 3) in any quadrant?
Standards
CCSS.MATH.CONTENT.5.G.A.1Use a pair of perpendicular number lines (axes) to define a coordinate system; the first number tells how far to travel along the x-axis and the second along the y-axis. Every shot and the plane's x-then-y flight path.
CCSS.MATH.CONTENT.5.G.A.2Graph points in the first quadrant and interpret coordinate values. Easy mode.
CCSS.MATH.CONTENT.6.NS.C.6Extend coordinate axes to negative numbers; signs of coordinates show the quadrant (6.NS.C.6b); find and position pairs of integers on a coordinate plane (6.NS.C.6c). Standard and Hard modes, quadrant Radar Checks.
CCSS.MATH.CONTENT.6.NS.C.8Graph points in all four quadrants of the coordinate plane. Standard and Hard modes.
Access and privacy
En español: the 🌐 Español button in the game's top bar switches everything students see into Spanish. No accounts, no scores, no student data: nothing is saved, and every game starts fresh. Plays fully with the keyboard (Tab between controls, arrow keys to move ships and to move around a board, R to rotate a ship, Enter to choose, Esc for the menu), with a mouse (drag and click; an on-screen keypad can enter coordinates), or with touch. Hits use a flame and the word HIT; misses use an X and the word MISS, so nothing depends on color alone. Sound effects only, with a Sound on/off button; no music. Standard and Hard are set in a storm at sea (rain, lightning, crashing waves and water plumes on the horizon) to make the battle feel real; Easy stays bright and calm. The storm stays behind the boards, which keep their light, high-contrast grids. Turning on the device's "reduce motion" setting stops the lightning and other moving effects.