CBSE · CLASS 9 · Science
PLANNED

Coordinate Geometry

This official chapter is connected to Sanova AI. Detailed lesson content is currently being prepared.

Why This Matters

Coordinates are used in maps, GPS, design, games, graphs and engineering.

Micro-Lessons

MICRO LESSON 1

The Coordinate Plane

Picture it: Imagine a city map with one horizontal road and one vertical road crossing.

Simple: The coordinate plane is formed by the x-axis and y-axis.

Example: The horizontal line is x-axis; vertical is y-axis.
Quick Check: Which axis is vertical?
MICRO LESSON 2

Origin

Picture it: The crossing point is the starting point for all movement.

Simple: The origin is (0,0).

Example: No movement right/left and no movement up/down.
Quick Check: What are the coordinates of origin?
MICRO LESSON 3

Ordered Pair

Picture it: Directions must be followed in order: first horizontal, then vertical.

Simple: A point is written as (x,y).

Example: (3,2) means 3 right and 2 up.
Quick Check: In (5,-2), what is y?
MICRO LESSON 4

Quadrants

Picture it: The axes divide the plane into four rooms.

Simple: The four regions are quadrants I, II, III and IV.

Example: Quadrant I has positive x and positive y.
Quick Check: Where is (-3,4)?
MICRO LESSON 5

Signs in Each Quadrant

Picture it: The sign pattern changes as we move around the plane.

Simple: QI (+,+), QII (-,+), QIII (-,-), QIV (+,-).

Example: (2,-5) lies in QIV.
Quick Check: Which quadrant contains (-2,-3)?
MICRO LESSON 6

Points on Axes

Picture it: A point on an axis has zero distance from the other axis.

Simple: On x-axis, y=0. On y-axis, x=0.

Example: (4,0) lies on x-axis.
Quick Check: Where does (0,-6) lie?
MICRO LESSON 7

Plotting a Point

Picture it: Move from origin horizontally first, then vertically.

Simple: Follow x, then y.

Example: Plot (-2,3): move 2 left and 3 up.
Quick Check: How do you plot (3,-4)?
MICRO LESSON 8

Reading a Graph

Picture it: A graph tells a story through positions.

Simple: Read the horizontal and vertical distances from origin.

Example: A point 2 left and 5 down is (-2,-5).
Quick Check: What are the signs in quadrant II?

Worked Examples

Identify the quadrant of (-4,6).

x is negative and y positive, so the point lies in quadrant II.

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