CHAPTER 1 · RESOURCES
ORIENT — 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
Quadrants and Sign Patterns
Key Ideas
- I: (+, +). II: (−, +). III: (−, −). IV: (+, −).
- x tells left or right; y tells down or up. Read x first, y second.
- On x: (x, 0). On y: (0, y). The origin is (0, 0).
Formula / Property
Read the signs in order. Check for a zero first: it means the point is on an axis. Otherwise match the two signs to a quadrant.
Visual / Diagram
One interval = one unit.
Read the matching diagram
P(-3, 2). Quadrant II · (−, +)
Mini Example
Locate P(−3, 2) and identify its quadrant.
P is in Quadrant II. Verify that it is above x and left of y.
Common Mistake
A point with a zero coordinate is on an axis, not in a quadrant.
Quick Recall
Does (0, −4) belong to Quadrant III or IV?
Check your reasoning
Neither. It lies on the negative y-axis.