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
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.
