Rectangles on the coordinate plane

The topic  is a topic under the 6th Grade Math Mission. This exercise analyzes information about rectangles using their coordinates in the Cartesian coordinate plane.

Types of Problems
There are two types of problems in this exercise:


 * 1) Find the coordinates of the missing point: The point is not really missing, it's coordinates are. A rectangle is drawn and the coordinates of three of the vertices are given. The student is asked to find the coordinates of the fourth corner.Rotcp1.png
 * 2) Use the coordinates to answer a question: This problem has no grid drawn, but does provide the coordinates of the four corners of a rectangle. The student is then asked to answer a question about the rectangle.Rotcp2.png

Strategies
Ability to visualize the coordinate plane or fast graphing skills can assist with doing this exercise well.
 * 1) All the rectangles have sides that are parallel to the axes. Therefore each x-coordinate and each y-coordinate will occur twice. This can allow the problem to be performed by analyzing which coordinates are not recorded twice.
 * 2) Research indicates that the problem Use the coordinates to answer a question are always about the length of a side. This could easily be expanded into questions such as area or perimeter in the future, so be wary.