MATHEMATICSGeometry
Coordinates
(x, y)
X
Y
● Learning Path Verified 11+
Coordinates
Plot points, identify axis lines, and sketch shapes strictly using grid references.
What you'll learn
Core 11+ exam skills
Plotting Points
Develop foundational techniques logically.
Reading Coordinates
Apply mathematical rules to varying scenarios.
Midpoints
Learn to track calculations dynamically.
Drawing Shapes
Verify accuracy and solve efficiently.
Core Framework
The mechanics of Coordinates
Coordinates
Read the X (horizontal) then Y (vertical).
The Origin
The exact center of the grid (0,0).
Quadrants
A full grid has 4 quadrants, utilizing negative values.
Midpoints
Find the middle by averaging the X and Y coordinates.
Coordinate Start at Origin (0,0)
THE JOURNEY BEGINS
UPY is + (Positive)
RIGHTX is + (Positive)
DOWNY is - (Negative)
LEFTX is - (Negative)
∑
The Quadrant Key
| Quadrant | X | Y |
|---|---|---|
| Quadrant 1 | + | + |
| Quadrant 2 | - | + |
| Quadrant 3 | - | - |
| Quadrant 4 | + | - |
Coordinate Voyager
Pro ModeAcademy
0,0
(3, 2)
Coordinate Explorer
X
Horizontal Position-5-4-3-2-1012345
Y
Vertical Position-5-4-3-2-1012345
Current Point: Quadrant 1
Explanation: Your point (3, 2) is located here because its horizontal X-axis position is + (Positive) and its vertical Y-axis position is + (Positive).
Key Facts to Remember
💡
Rule to remember: "Along the corridor, then up the stairs!" (X then Y).
🔄
The x-axis goes horizontally (left-right).
➕
The y-axis goes vertically (up-down).
➖
A coordinate MUST be written with brackets and a comma: (3, 4).
Ready to practise?
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