Free graphing resources · Original practice
Plot four sets of ordered pairs, including quadrant and axis points. Keep x first, y second, and preserve every supplied sign.
Plot four sets of ordered pairs, including quadrant and axis points. Keep x first, y second, and preserve every supplied sign.
Choose Letter or A4, then download a student sheet first. Keep the separate reference or answer file closed until you have attempted the case. Every worksheet, SVG and answer is free without signup.
Original worksheet collection. Letter or A4 PDF and editable SVG.
Original worksheet collection. Letter or A4 PDF and editable SVG.
Original worksheet collection. Letter or A4 PDF and editable SVG.
Original worksheet collection. Letter or A4 PDF and editable SVG.
Complete free PDF pack.
| Case | Focus |
|---|---|
| PP01 | All four quadrants |
| PP02 | Signs and axes |
| PP03 | A point trail |
| PP04 | Coordinates to read |
All examples use original fictional data and coordinate units. They are practice material, not measured classroom results, published questions or evidence about real people.
PP01: All four quadrants
| Check | Worked result |
|---|---|
| 1 | 8 ordered pairs. |
| 2 | [-4, 3], [-2, -1], [1, 4] are the first three. |
| 3 | Keep axis points on the axis and preserve x before y. |
The first case shows the checking pattern. Individual answer files contain the completed graph and result for every case.
Begin by confirming that each ordered pair follows the standard horizontal then vertical convention. The first number represents the x-coordinate and the second represents the y-coordinate. For instance in case PP01 the pair negative four three places the point left of the origin and above it. Ensure you do not swap these values as this would place the point in the wrong quadrant. Check that signs are preserved exactly as written in the original point lists. This step ensures that the listed coordinates align with the intended fictional practice material before any physical marking occurs on the printable sheet.
Identify points where either the x or y value is zero. These points lie directly on the axes rather than within a quadrant. In case PP02 points like zero three or negative three zero must be placed precisely on the vertical or horizontal line. Do not shift these points into the nearest quadrant. The axes use integer unit ticks so align the point with the corresponding tick mark. Recognizing these intercepts prevents common placement errors and ensures that the fictional data structure remains accurate according to the supplied values in the reference PDF.
Process each point from the list one at a time without skipping. For case PP03 start with negative five two and continue through the trail to negative two negative three. Mark each location clearly using a distinct dot. Since these are original fictional practice materials there is no need to connect the dots unless instructed. Verify that every ordered pair from the four original point lists is plotted exactly once. This methodical approach helps maintain accuracy when working with the separate student and answer PDFs provided in the free resource pack.
| Watch for | Check instead |
|---|---|
| Moving axis points into quadrants | Keep points with a zero coordinate on the axis line itself. For example in PP02 the point zero three belongs on the y axis not in quadrant one or two. The supplied values determine the exact location so respect the zero value as a valid coordinate position rather than a boundary to cross. |
| Swapping x and y values | Always plot the first number horizontally and the second vertically. In PP01 the pair one four is right one up four not right four up one. Preserving the coordinate order is essential because the digital coordinates define the correct answer key in the separate reference PDFs provided for each case. |
| Ignoring negative signs | Treat negative numbers as directional indicators. In PP04 the pair negative four negative four requires moving left and down from the origin. Do not plot it in the positive quadrant. The original point lists include specific signs that must be respected to match the fictional practice material accurately without altering the intended geometry. |
Choose the PDF that matches your paper. Print at Actual size / 100% and turn off Fit, Shrink and browser headers. SVG is editable but an editor can rescale it; the PDF is the simpler print route. Physical printer, classroom and curriculum tests have not been completed.
Read x first along the horizontal axis, then y along the vertical axis.
Yes. A zero coordinate places the point on an axis and remains valid.
I is (+,+), II is (-,+), III is (-,-), IV is (+,-).
Yes. The individual student, reference and answer files plus collection packs are free without signup. Credit Zumola under CC BY 4.0 when sharing or adapting.
Plot these four ordered pairs in order: A(-3, 2), B(2, 2), C(2, -1), D(-3, -1). The x value is always written first, so A sits three squares left of the origin and two squares up. B sits two right and two up. C sits two right and one down. D sits three left and one down.
Notice that A and D share x = -3, so they lie on the same vertical line. B and C share x = 2, so they also share a vertical line. A and B share y = 2, so they lie on the same horizontal line. C and D share y = -1. These shared values are the quickest way to confirm the shape is a rectangle rather than a skewed quadrilateral.
A plotted point is correct when its position matches its ordered pair. To check without trusting your eye, read the horizontal distance from the y-axis and the vertical distance from the x-axis for each dot. For A, the horizontal reading should be 3 left and the vertical reading 2 up, giving (-3, 2). Repeat for each letter.
A second check uses the shared values. If two points have the same x coordinate, the segment between them must be vertical. If two points have the same y coordinate, the segment must be horizontal. Any slanted side in this example signals a plotting error, not a different valid answer.
Points on an axis have one coordinate equal to zero. The point (0, 4) lies on the y-axis, four units up; the point (-5, 0) lies on the x-axis, five units left. Do not treat a zero coordinate as a missing value. Write the zero explicitly so the pair stays complete.
When a task asks you to plot a closed trail, the first and last points are joined. When it asks for an open trail, they are not. State which version you are drawing before you connect anything, because the same points can produce two different valid figures.
Plot A(-3, 2), B(2, 2), C(2, -1) and D(-3, -1), join them in order and close the trail. Verify each corner.
A is 3 left and 2 up; B is 2 right and 2 up; C is 2 right and 1 down; D is 3 left and 1 down. A and B share y = 2, so AB is horizontal. B and C share x = 2, so BC is vertical. C and D share y = -1, so CD is horizontal. D and A share x = -3, so DA is vertical. The closed trail is a rectangle with width 5 units and height 3 units. Reading each corner back from the axes returns the original ordered pairs.
Read its horizontal and vertical distances from the axes, including direction, and compare them with the ordered pair. Shared coordinates should also produce vertical or horizontal segments.
It lies on the y-axis, four units below the origin. The x value is zero, so there is no horizontal movement.
Yes. The point positions are fixed, but joining them in a different order, or choosing an open rather than closed trail, produces a different valid figure.
