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Illustration of Cartesian Coordinate System

Cartesian Coordinate System

A coordinate system that specifies each point uniquely in a plane by a set of numerical coordinates…

Reads at Grades K-2 Listens at K–3

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The story

The Secret Map on the Ceiling

Hello there. My name is the Cartesian Coordinate System, but you can think of me as a secret map for everything. Before I came along, telling someone exactly where something was could be very tricky. Imagine trying to give directions to a tiny hidden treasure in a big field. You might say, 'It's over by the big rock' or 'It's near the tall tree'. But what if there were lots of rocks and trees. It was confusing. People needed a way to be super precise, like a secret code that could point to any spot in the whole world, no matter how small. I was waiting for a very clever person to think of me, so I could help everyone stop getting lost and start finding things easily. I am the idea that gives every single spot its very own special address.

I was brought to life by a very thoughtful man from France named René Descartes. He was a thinker who loved to solve puzzles. One day, around the year 1637, he was resting in his bed, looking up at the ceiling. A little fly was buzzing around, landing here and there on the flat, white surface. René watched it and wondered, 'How could I tell someone the exact spot where that fly is sitting, using only numbers?'. Suddenly, he had a brilliant idea. He imagined two straight lines on the ceiling. One line went from side to side, and the other went from top to bottom. They crossed over each other and made a grid, like a checkerboard. I was born in that moment. I have two long arms, you see. My first arm is called the x-axis, and it helps you count how many steps to move across. My second arm is the y-axis, and it helps you count how many steps to move up. To find the fly, all you had to do was count 'over' and then 'up'. With me, the fly's secret spot wasn't a secret anymore.

That simple idea about a fly on the ceiling grew into something huge. At first, I just helped René describe spots in a room, but soon people realized I could map out anything. Today, I am everywhere, helping people in amazing ways you might not even notice. I am the secret map inside your parent's phone that gives them directions to a new park. I help the people who create your favorite video games tell the characters exactly where to run and jump on the screen. I even help guide giant spaceships through the darkness of space, telling them how to get from Earth to the Moon and beyond. I turn places into pairs of numbers and turn numbers back into pictures. I am the proof that one small, clever thought can change the world, helping people to explore, to create, and to understand everything around them, all starting with a man, a fly, and a big idea.

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About

A coordinate system that specifies each point uniquely in a plane by a set of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.

Formulated 1637 CE

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Who was the thoughtful man from France that invented me?

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Cartesian Coordinate System
The Secret Map on the Ceiling 0:00 / 0:00