In mathematics, a plane is not something we see zooming around in the sky. It is a flat 2D surface. The top of your desk could be a plane, as could your wall or your roof. A number plane is created by two perpendicular lines that we call an x-axis and a y-axis.
The $x$x-axis is the horizontal line.
The $y$y-axis is the vertical line.
Where the two axes cross each other is labelled the ORIGIN. It has a zero value on both axes.
The $x$x-axis is numbered with positive numbers increasing to the right.
The $y$y-axis is numbered with positive numbers increasing vertically.
We can notice 2 things from the number plane we have created here:
So what sort of things do we need to be able to do with number planes?
Let's have a look at these worked examples.
What are the coordinates of the point shown in the number plane?
Give the coordinates in the form $\left(x,y\right)$(x,y).
In which quadrant does the point $\left(4,4\right)$(4,4) lie?
Write the coordinates of the point that is $5$5 units to the right of $\left(-3,-4\right)$(−3,−4).
Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.
Define and use transformations and describe the invariant properties of figures and objects under these transformations