Graphing Points in Three Variables. AII, 2.0: Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices.
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AII, 2.0: Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices.
LA, 6.0: Students demonstrate an understanding that linear systems are inconsistent (have no solutions), have exactly one solution, or have infinitely many solutions
Three-dimensional coordinate system
Graph an ordered pair (x,y)
For the x-axis:
Positive Direction: Move Forward
Like jumping out of the paper
Negative Direction: Moving Back
Like going behind the paper
For the y-axis:
Positive Direction: Moving Right
Negative Direction: Moving Left
For the z-axis:
Positive Direction: Moving Up
Negative Direction: Moving Down
It takes a few steps to solve these types of problems:
What direction is it moving on the x-axis?
How much? This is you x value.
What direction is it moving on the y-axis?
How much? This is you y value.
What direction is it moving on the z-axis?
How much? This is you z value.
Write the ordered triple (x,y,z)
Mark the x value direction
Mark the y value direction
Find the point of intersection
Travel the z value direction (upward or downward)
Plot the point.
To be completed in class
Points in Three Dimensions