Coordinate Planes
 Exploring Coordinate Planes and Ordered Pairs – Introduction
 Ordered Pairs – Definition
 Understanding the Coordinate Plane – Explanation
 Plotting Points on the Coordinate Plane
 Plots and Movements on the Coordinate Plane – Example
 Coordinate Plane – Guided Practice
 Applying Ordered Pairs and Coordinate Planes
 Summary of Coordinate Planes and Ordered Pairs
 Coordinate Planes and Ordered Pairs – Frequently Asked Questions
Basics on the topic Coordinate Planes
Exploring Coordinate Planes and Ordered Pairs – Introduction
Welcome to an exciting journey through the world of maths! It's time to discover the magic of coordinate planes and ordered pairs. Think of them as secret codes that help us find hidden spots on a treasure map. But instead of digging for gold, we're hunting for points on a grid. Ready to become a maths explorer? Let's dive in!
Ordered Pairs – Definition
An ordered pair consists of two numbers written in a specific order within brackets, like this: (x, y). The first number represents a position on the horizontal axis, known as the xaxis, and the second number represents a position on the vertical axis, called the yaxis. Together, these numbers pinpoint an exact location on a coordinate plane.
Rules for Working with Ordered Pairs
When reading and plotting ordered pairs, always start with the xaxis and then move to the yaxis. Remember, the format is always (x, y).
Understanding the Coordinate Plane – Explanation
Imagine a grid with two intersecting lines, one horizontal (xaxis) and one vertical (yaxis). This grid is known as a coordinate plane. The point where the xaxis and yaxis cross is called the origin, and its ordered pair is (0, 0). Every other point on the plane is identified by its unique ordered pair.
Plotting Points on the Coordinate Plane
To plot a point, like (3, 2), start at the origin. Then move along the xaxis 3 units to the right, since the xvalue is positive, and move down 2 units on the yaxis because the yvalue is negative. Mark the point where you end up and label (3, 2).
Why Are Ordered Pairs and Coordinate Planes Important?
Ordered pairs and coordinate planes are vital tools in mathematics and many realworld applications, such as mapping, navigation and computer graphics. They help us visualise complex data and understand spatial relationships.
Plots and Movements on the Coordinate Plane – Example
Using grid paper, draw an x and y axis, and let's plot some points together!
Find the point (3, 4) on the coordinate plane.
 Start at the origin and move 3 units to the right along the xaxis.
 Next move 4 units up since the y value is positive.
Find the point (1, 2).
 Start at the origin move 1 unit to the left on the xaxis (since it's negative)
 Next move up 2 units up on the yaxis since the value is positive two.
Your graph should now have two points marked. Great job!
Coordinate Plane – Guided Practice
Ready for more? Let's try plotting a few more points together.
Applying Ordered Pairs and Coordinate Planes
Now that we've practised plotting points, let's apply our knowledge.
Summary of Coordinate Planes and Ordered Pairs
Key Learnings from this Text:
 Ordered pairs (x, y) tell us the exact location of a point on a coordinate plane.
 The first number in an ordered pair corresponds to the horizontal xaxis, and the second to the vertical yaxis.
 The origin (0, 0) is the starting point for plotting all points on the coordinate plane.
 Plotting points and connecting them can help us create shapes and solve geometry problems.
Keep practising with coordinate planes and ordered pairs, and explore other fun maths topics on our website. Check out interactive practice problems, videos and worksheets to help you become a maths champion!
Coordinate Planes and Ordered Pairs – Frequently Asked Questions
Transcript Coordinate Planes
Coordinate Planes. Cadet! Your mission, should you choose it, is to join the resistance, and seek and destroy incoming starships before they locate our fleet. You will need to locate the positions on a coordinate grid, or coordinate plane, and input their coordinate pairs into the missile launcher. We are depending on you! Good luck! Let's begin your training! A coordinate plane is formed when the horizontal, or
Coordinate Planes exercise

Identify a coordinate of the vertex of a given shape.
HintsWhat properties do you know about rectangles?
 They have 4 right angles.
 The opposite sides are parallel and equal to each other
 They are quadrilaterals and have 4 sides
When plotting a coordinate, the $x$ value comes first and then the $y$ value comes second. So a coordinate of $(4, 10)$ would be 4 across on the $x$ axis and then 10 up on the $y$ axis.
Coordinates are given as ordered pairs. The first number is the $x$ coordinate, which describes the horizontal position. The second number is the $y$ coordinate, which describes the vertical position.
SolutionThe correct coordinate to complete the rectangle is $(8,7)$. As you can see on the axes now, by plotting this coordinate the rectangle has all the properties which make it correct!

Identify the locations of different coordinates on a graph.
HintsRemember, coordinates are plotted $x$ first and then $y$ second. This means you move vertically the $x$ amount first, and then horizontally the $y$ amount after. You might also know this as the saying "along the corridor and up the stairs!" as another easy way to remember how to plot coordinates.
A coordinate of $(4,3)$ would be plotted by moving 4 across horizontally to the right on the $x$axis, and then 3 vertically upwards on the $y$axis.
A coordinate of $(5,1)$ would be plotted by moving 5 across horizontally to the left on the $x$axis, and then 1 vertically downwards on the $y$axis.
SolutionThe places you should have highlighted that the pirates needed to check for the treasures, are $(2,2)$  the shipwreck, $(7,7)$  the jungle, $(3,7)$  the kraken, $(7,8)$  the skull cave and finally, $(2,3)$  the mermaid rock!

Complete the passage of text.
HintsTwo lines that cross one another at 90degrees are called perpendicular lines.
The $x$axis is the horizontal axis and the $y$axis is the vertical axis.
The point $(0,0)$ is called the origin.
Plotting coordinates can be helpful with graphing equations and mapping locations.
SolutionIn mathematics, plotting coordinates helps us locate points on a grid. A coordinate grid has two perpendicular lines: the horizontal $x$axis and the vertical yaxis. The intersection point of these axes is called the origin and is represented by (0,0).
To plot a point on the grid, we use coordinates. The first number shows the horizontal position on the $x$axis, and the second number shows the vertical position on the $y$axis. These numbers form an ordered pair, with the $x$coordinate first, the $y$coordinate second, separated by a comma, and enclosed in brackets.
To plot the point (3, 4), move three units right along the $x$axis and four units up along the $y$axis. The point (3, 4) is three units right and four units above the origin. Similarly, plot (2, 5) by moving two units left and five units down from the origin.
By understanding how to plot coordinates, we can graph equations, map locations, and solve various mathematical problems accurately.

Which coordinates have been plotted correctly?
HintsCoordinates should be plotted using crosses and not dots! This is because crosses allow for greater accuracy.
Coordinates are plotted using the $x$ value first and then the $y$ value second.
Take care with the scale on the axes! Students often assume the scale always goes up in one's but it can be two's, five's, ten's or any amount.
All coordinates should be plotted by starting at the origin. As you get more confident with them you will get quicker at plotting them but this important fact is the basis of plotting all coordinates.
Coordinates are given as ordered pairs. The first number is the $x$ coordinate, which describes the horizontal position. The second number is the $y$ coordinate, which describes the vertical position.
SolutionThis student has confused the order of the coordinate! They have forgotten that a coordinate gives information in the order $(x,y)$. The first value is the $x$ coordinate value and the second value is the $y$ coordinate value. The $x$axis is the horizontal axis and the $y$axis is the vertical axis.

Finding Stars.
HintsFind the key information in the question which is relevant to the problem.
Although the information about stars and constellation might be interesting, what key bits of information are relevant to actually answering the problem?
A coordinate presents two bits of information, an $x$ coordinate which represents how far you move horizontally on the $x$axis, and the $y$ coordinate which represents how far you move vertically on the $y$axis.
The $x$ coordinate value comes first in a coordinate pair, and then the $y$ coordinate value comes second.
For example, the coordinate $(3,2)$ gives an $x$ coordinate value of 3, and a $y$ coordinate value of 2.
SolutionThe coordinate plotted at the point $(5,6)$ is highlighted on the illustration showing which star is the brightest in the constellation Ursa Major.

Identifying a coordinate on a graph.
HintsTo find halfway between two numbers, you can add them together and then divide them by 2.
For example, to find the half way between 2 and 6, you can add them together (2 + 6) = 8, and then divide it by 2, which equals 4!
Find half way between the two $x$ coordinate values, and then find half way between the two $y$ coordinate values.
Halfway between the two points $(2,2)$ and $(6,4)$ is the point, $(4,3)$.
SolutionThe new train station should be plotted at the point, $(6,7)$.