Coordinate Points on a Plane
Read and reason about first-quadrant coordinates with supported, standard, and challenge practice, worked examples, a printable grid, and explained answers.
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Coordinate points on a plane
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Interpret ordered pairs in the first quadrant, moving horizontally before vertically.
Grade 5 practice uses nonnegative coordinates only. Axes and the origin are included. Students may use the supplied grid for plotting; no negative coordinates or distance formula is required.
Supported practice
Example: To plot (2, 3), start at (0, 0), move 2 units right, then 3 units up. The first number is the x-coordinate and the second is the y-coordinate.
1. For the point (4, 2), write the x-coordinate and y-coordinate.
2. Start at the origin. Move 3 units right and 5 units up. Write the ordered pair.
3. Describe how to reach (1, 4) from the origin.
4. Plot and label A(2, 1) and B(2, 4) on the grid. Which point is higher?
Supported answers
1. x = 4 and y = 2. The horizontal coordinate is written first.
2. (3, 5).
3. Move 1 unit right, then 4 units up.
4. A is 2 right and 1 up; B is 2 right and 4 up. B is higher because 4 > 1.
Standard practice
Example: Points (1, 3) and (5, 3) share a y-coordinate, so they lie on the same horizontal line. They are 5 − 1 = 4 units apart horizontally.
1. Plot A(1, 2), B(5, 2), and C(5, 6). Which pair shares a horizontal line?
2. How many units right must you move from A(1, 2) to B(5, 2)?
3. Starting at (2, 3), move 4 units right and 2 units up. Where do you finish?
4. A point lies on the y-axis, 4 units above the origin. Write its coordinates.
Standard answers
1. A and B share y = 2. C is 5 right and 6 up.
2. 4 units, because 5 − 1 = 4.
3. (6, 5), because 2 + 4 = 6 and 3 + 2 = 5.
4. (0, 4). Every point on the y-axis has x-coordinate 0.
Challenge practice
Example: Three corners of a rectangle are (1, 1), (4, 1), and (4, 3). When its sides follow the grid lines, the fourth corner is (1, 3).
1. Plot (2, 1), (6, 1), and (6, 5). Find the fourth corner of a rectangle whose sides follow the grid lines.
2. A robot travels from (1, 2) to (5, 2), then to (5, 6). How many grid units does this route cover?
3. Jules plots (2, 5) by moving 5 right and 2 up. What point did Jules plot, and how should it be corrected?
4. Point P is (3, 4). Point Q is 2 units left of P on the same horizontal line. Write Q and explain which coordinate stays the same.
Challenge answers
1. (2, 5). It shares x = 2 with the first corner and y = 5 with the third.
2. 8 units: 4 horizontally plus 4 vertically. This is the length of the stated route.
3. Jules plotted (5, 2). To plot (2, 5), move 2 right and 5 up from the origin.
4. Q is (1, 4). The x-coordinate decreases by 2; the y-coordinate stays 4.
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