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

LO: To identify the properties of the Cartesian coordinate system

Know:

  • What a Cartesian plane is.

  • Numbers moving from left to right on the Cartesian plane increase in order.

  • Numbers moving from right to left on the Cartesian plane decrease in order.

  • Numbers moving upwards on the Cartesian plane increase in order.

  • Numbers moving downwards on the Cartesian plane decrease in order.

  • There are 4 quadrants on the Cartesian plane.

  • Co-ordinates in the form (x,y) indicates how many spaces to move across the x-axis (horiztonal) and up the y-axis (vertical).

Understand:

  • That points have coordinates (x,y) and they determine the location on the Cartesian plane.

Do:

  • I can locate a point on a Cartesian Plane.

The Cartesian Plane

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 (Co-ordinates)

An ordered pair is a pair of numbers which tell you where a point is on the Cartesian Plane.
The first number tells you the location on the x-axis (horizontal), then the second number tells you the location on the y-axis (vertical).

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

Interactives

Teaching Ideas

Ordered Pairs Videos