Ontario K–8 curriculum · Glossary

first quadrant of a Cartesian plane

Definition

Imagine a graph with two number lines, one going across (x-axis) and one going up and down (y-axis). The "first quadrant" is the top-right section where both numbers for a point are positive.

A point at (3, 5) is in the first quadrant because you move 3 steps to the right and 5 steps up, which are both positive directions.

How to teach this in 30 seconds

Try this analogy: The first quadrant is like the top-right corner of a treasure map where you always go right and then up to find the treasure.

Ask your child: To land in this top-right square, which two ways must you move from the center?

Common mix-up: Kids may think the quadrants are numbered like a clock. The first quadrant is always the top-right section where both numbers in the coordinate pair are positive.

Examples

  • On a town map, a library located 4 blocks east and 2 blocks north is in the first quadrant.
  • In a computer game, a character at position (10, 20) is in the first quadrant of the map.

first quadrant of a Cartesian plane is a term used in Ontario’s Kindergarten to Grade 8 curriculum.

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