---
title: "Coordinates (age 11+)"
description: "Plot and read coordinates in all four quadrants of the Cartesian plane, using positive and negative x- and y-values to describe positions precisely"
canonical: https://lightmysky.com/learn/mathematics/coordinates-age-11-mt_hVpGOEz2kG
source: https://lightmysky.com/learn/mathematics/coordinates-age-11-mt_hVpGOEz2kG.md
retrieved: 2026-10-19
---

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# Coordinates (age 11+)

Plot and read coordinates in all four quadrants of the Cartesian plane, using positive and negative x- and y-values to describe positions precisely

Subject: Mathematics · Area: Algebra · Ages 11 to 12
Page: https://lightmysky.com/learn/mathematics/coordinates-age-11-mt_hVpGOEz2kG

## Ready when they can

- Plot points with negative coordinates accurately in all four quadrants
- Identify the quadrant a point belongs to from its coordinate signs
- Read coordinates from a graph including fractional and negative values

## Lesson: Coordinates in every quadrant

You already know how to plot points using an x-axis and a y-axis. Those two lines cross at a point called the origin, (0, 0), and split the plane into four regions called quadrants.

*(drawing: Just like on a number line, a negative x-coordinate means you move left of 0. A negative y-coordinate means you move down instead.)*

The four quadrants follow a pattern based on the signs of x and y. Quadrant I is (+, +), top right. Quadrant II is (-, +), top left. Quadrant III is (-, -), bottom left. Quadrant IV is (+, -), bottom right. Letters follow the same rules. If n is positive, -n is negative. So with n = 5, -n is -5, left of zero. A point with a minus in front of a positive letter follows the number rules above.

**Example.** To plot (-5, 3): start at the origin, move 5 steps left because x is negative, then move 3 steps up because y is positive. You land in Quadrant II.

**Tip.** Numbers do not have to be whole. A point like (-1.5, 2.5) sits halfway between the marked lines, still following the same left-right, up-down rules.

**Recap.** A point's quadrant is decided by the signs of its coordinates: read x first for left-right, then y for up-down.

## Practice

19 questions on this page, each with its working shown.

## Needs first

- [Coordinates (age 10+)](https://lightmysky.com/learn/mathematics/coordinates-age-10-mt_R4AY0LKxfl)

## Opens up

- [Scatter Graphs & Correlation](https://lightmysky.com/learn/mathematics/scatter-graphs-and-correlation-mt_8atyuvPUZc)
- [Coordinate Transformations](https://lightmysky.com/learn/mathematics/coordinate-transformations-mt_K0Y15w48SY)
- [Linear Function Graphs](https://lightmysky.com/learn/mathematics/linear-function-graphs-mt_WBdHkc2HTf)