Free printable resources · Original practice
Plot ordered pairs to reveal 12 original pictures. Start in the first quadrant, then use signed coordinates. Separate stroke lists tell you exactly when to lift your pencil.
The complete collection
Download the student pack for practice and the separate answer pack to compare. Individual editable sheets appear below. The paper-size choice applies to every download button.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
Original practice with a separate reference answer. Choose Letter or A4.
A short sample is (2,3) → (8,3) → (8,7) → (2,3). It makes one closed triangle. A second list begins a new stroke: lift your pencil before its first point. Do not create an extra joining line between the two lists.
| Worksheet IDs | Coordinate range | Distinct picture subjects |
|---|---|---|
| CG01–CG06 | 0 to 20 on x and y | House, sailboat, rocket, crown, tree, fish |
| CG07–CG12 | −10 to 10 on x and y | Umbrella, cat, butterfly, mountains, teapot, robot |
All listed coordinates are integers within the worksheet range. The arrow/order in a list tells you what to connect, while LIFT PENCIL separates independent details. The student preview does not reveal the finished line drawing; the answer page uses exactly the same coordinates.
Choose CG01–CG06 to practice positive coordinates on a 0 to 20 first-quadrant plane. Choose CG07–CG12 for signed coordinates on a -10 to 10 four-quadrant plane. Each worksheet contains its own coordinate lists and blank plane, so no separate graph paper is required. The 12 pictures are distinct original outlines. Keep the student file for plotting and the separate answer file for comparison; the answer reveals the picture name and the completed strokes. Start with one stroke, check its endpoints, then move to the next.
Read the ordered-pair list carefully, noting that the x-coordinate always comes first followed by the y-coordinate. Plot each point individually on the blank plane using the integer values provided. Follow the numbered sequence strictly to maintain the correct shape. Do not attempt to connect points across separate strokes. Each stroke is distinct and requires careful attention. Use a ruler to draw straight lines between consecutive points within the same stroke. Avoid guessing positions; rely solely on the listed coordinates. This method ensures the outline matches the intended design. Precision in plotting each pair is critical for the final image to appear correctly. Take your time to verify each point before moving to the next one in the sequence.
Pay close attention to the explicit LIFT PENCIL instructions between separate strokes. When you reach the end of a stroke, lift your pencil completely before starting the next numbered sequence. This prevents unwanted lines connecting distinct parts of the picture. The outlines include deliberate corners rather than smooth curves, so sharp angles are expected. Do not try to smooth out these corners. Each stroke is independent, and joining them incorrectly will distort the final image. Check the answer page if unsure about the connection points. The answer pages reveal the picture names, helping you verify the shape. Consistent adherence to lift instructions ensures clean, accurate outlines that match the provided solutions exactly.
| Watch for | Check instead |
|---|---|
| Connecting points across different numbered strokes without lifting the pencil. | Lift the pencil completely between each separate stroke as indicated by the explicit instructions on the worksheet. |
| Plotting the y-coordinate before the x-coordinate when reading ordered pairs. | Always plot the x-coordinate first, followed by the y-coordinate, to ensure the point is placed in the correct location. |
| Expecting smooth curves instead of the deliberate corners present in the outlines. | Draw straight lines between points to form sharp corners, as the designs rely on angular connections rather than curved paths. |
Before you begin
Student titles use picture IDs. The answer reveals the house, sailboat, rocket, crown, tree, fish, umbrella, cat, butterfly, mountains, teapot or robot. The gallery previews use the unrevealed student sheet.
Yes, all coordinates are integers. The first-quadrant pictures range from zero to twenty, while the four-quadrant pictures range from negative ten to positive ten.
Yes. CG01–CG06 use six original first-quadrant pictures; CG07–CG12 use six different four-quadrant pictures. Every answer is generated from the same stroke list as its student worksheet.
Yes. Every linked PDF, SVG, worksheet and answer is free without signup. The original resources use CC BY 4.0: credit Zumola, link the license and indicate changes. Analytics consent is not required to download or use the resources.
A coordinate picture depends on one shared assumption: every grid square represents the same step on both axes. If the horizontal and vertical spacing differ, a shape that should be square will look stretched, and diagonal segments will change angle. Before plotting, confirm the origin, the direction of positive x and positive y, and the step size printed on each axis.
Read each ordered pair as two separate decisions. The first number moves along the horizontal axis; the second moves along the vertical axis. Say both aloud before marking, for example 'three right, two up'. This slows the hand enough to catch swapped values, which are the most common cause of a picture that is recognisable but distorted.
A vertex list is not the same as a single continuous line. Stroke breaks tell you where to lift the pencil, and they usually mark a change of feature: an outline ending, a separate detail beginning, or a gap that should stay open. Connecting across a break closes a shape that was meant to remain open.
Work in the listed order rather than jumping to the most interesting part of the picture. Order preserves the intended construction, and it makes a missed point obvious: the next segment will not start where you expect. If a segment looks wrong, stop and re-check the two endpoints instead of adjusting the line by eye.
An original vertex sequence can be drawn with different line weights, and small spacing choices are legitimate. That means there is no single correct photograph of the answer. Judge the plot against criteria instead: are all points in the correct quadrant, are segments connected in the listed order, and are stroke breaks respected?
Separate plotting accuracy from presentation. A tidy picture with one swapped pair is still inaccurate; a rough picture with every point correct is still accurate. Note which criterion failed so the correction is specific rather than a general instruction to try again.
Plot the stroke (2,1) to (5,1) to (5,3), then a second stroke from (2,3) to (2,1). Describe the result and one check.
Start at the origin. Move 2 right and 1 up to mark (2,1). Move 3 more right to (5,1), then 2 up to (5,3). Lift the pencil. For the second stroke, mark (2,3): 2 right and 3 up. Then mark (2,1), which is 2 right and 1 up. Connecting (2,3) to (2,1) gives a vertical left side. The two strokes form an open rectangle missing its top edge from (2,3) to (5,3). Check: the shared point (2,1) appears in both strokes and should be plotted once, and the gap along the top is intentional, not a missed segment.
That is valid. Plot the point once and note that the stroke passes through it twice; do not shift it to make the line look clearer.
A ruler helps straight segments stay straight, but the priority is correct endpoints and correct order. Slight wobble does not change coordinate accuracy.
A point with a zero coordinate sits on an axis. Zero means no movement in that direction, so move only along the other axis.
