Introduce the Cartesian coordinate system using all four quadrants (ACMMG143)

LO: To identify the properties of the Cartesian coordinate system

Know:

What an Cartesian plane is
Numbers moving from left to right increase in order
Numbers moving from right to left decrease in order
Numbers moving upwards increase in order
Numbers moving downwards decrease in order

Understand:

That points have co-ordinates
Co-ordinates tell us the location of the point on the Cartesian Plane

Do:

I can locate a point on a Cartesian Plane.

Cartesian Planes

As numbers move to the right on the x-axis, the numbers increase in size.
As the numbers move to the left on the x-axis, the numbers decrease in size.
As the numbers move up on the y-axis, the numbers increase in size.
As the numbers move down on the y-axis, the numbers decrease in size.
In quadrant 1 (top right), both numbers are positive.
In quadrant 2 (top left), the first number is negative, but the second number is positive.
In quadrant 3 (bottom left), both numbers are negative.
In quadrant 4 (bottom right), the first number is positive, but the second number is negative.

Ordered Pairs

An ordered pair is a pair of numbers which tell you where a point is on the Cartesian Plane.
First number tells you the location on the x-axis, then second number tells you the location on the y-axis.

A way to help you remember is, “Along the Corridor, Up the Stairs.”