How do you explain to 6 year old what a rectangular coordinate system is and why it is important in math. What information is needed to locate a point in this system? And how does this relate to mapping and finding a point on a map.

To explain a rectangular coordinate system to a 6-year-old, you can use simple language and make it relatable. Here's a way to break it down:

1. Start by describing the rectangular coordinate system as a special grid that helps us find any point, like a specific location, on a piece of paper.
2. Explain that the coordinate system has two lines, one going up-down (vertical) and one going left-right (horizontal). These lines are called the X-axis and Y-axis.
3. Tell them that the X-axis is like the road going right-left on a map, and the Y-axis is like the road going up-down on a map.
4. Emphasize that each point on the grid has its own special address, just like houses or buildings on a street. This address has two parts, like a street address.
5. Explain that the X-coordinate tells us how far we are from the left or right of the grid, and the Y-coordinate tells us how far we are from the top or bottom of the grid.
6. Give an example using a point on the grid, like (3, 2). Explain that this point is 3 steps to the right and 2 steps down from the center of the grid.
7. Connect the concept to mapping by telling them that maps use a similar idea to help us find places. The X-axis can represent the east-west direction, like how far something is left or right on a map, and the Y-axis can represent the north-south direction, like how far something is up or down on a map.
8. Finally, let them know that the rectangular coordinate system is important in math because it helps us solve problems and understand the relationship between points on the grid.

By following these steps, you can provide a basic understanding of the rectangular coordinate system and show its relation to mapping and finding points on a map.

You could try an analogy using the chess board. A rook is in A1, the Queen in D1, etc.