CBSE MATHEMATICS • SELECTED CENTRAL & STATE COMPETITIVE EXAMS
AIMSSchool of MathematicsAim through AIMS

CHAPTER 1 · RESOURCES

BUILD — Concept Note

Think first. Use AI purposefully. Verify always.

A concise revision of the approved lesson. For discovery, interaction and guided reasoning, return to the lesson.

CONCEPT

Building the Cartesian Plane

Key Ideas

  • The x-axis is horizontal; the y-axis is vertical.
  • Their intersection is the origin, named O.
  • In the usual orientation, right and up are positive; left and down are negative.
  • Use equal intervals for equal units on each axis. Here both axes use the same unit size.

Formula / Property

Draw perpendicular axes, align their zero marks, label x and y, and mark the scale and positive directions.

Visual / Diagram

Cartesian plane: complete unit gridx-axisy-axisO-5-5-4-4-3-3-2-2-1-11122334455

Mini Example

Build a plane where one grid interval represents one unit. Locate the origin and show the positive directions.

Mark equal unit intervals. Positive x points right; positive y points up.

Common Mistake

Do not swap the axis labels or use unequal spacing for equal units.

Quick Recall

Someone labels the horizontal line y and the vertical line x. Does this match the convention used in this module?

Check your reasoning

No. In this module the horizontal line is the x-axis and the vertical line is the y-axis.