In what ways can location be communicated?
Students explain location and movement in relation to position in the Cartesian plane.
The Cartesian plane is named after French mathematician René Descartes.
The Cartesian plane uses coordinates, (x,y), to indicate the location of the point where the vertical line passing through (x,0) and the horizontal line passing through (0,y) intersect.
The x-axis consists of those points whose y-coordinate is zero, and the y-axis consists of those points whose x-coordinate is zero.
The x-axis and the y-axis intersect at the origin, (0,0).
An ordered pair is represented symbolically as (x,y).
An ordered pair indicates the horizontal distance from the y-axis with the
x-coordinate and the vertical distance from the x-axis with the y-coordinate.
A translation describes a combination of horizontal and vertical movements as a single movement.
A reflection describes movement across a line of reflection.
A rotation describes an amount of movement around a turn centre along a circular path in either a clockwise or counter-clockwise direction.
Location can be described using the Cartesian plane.
The Cartesian plane is the two-dimensional equivalent of the number line.
Location can change as a result of movement in space.
Change in location does not imply change in orientation.