Coordinates
Class 9 · Mathematics
3 ideas in Class 9 Mathematics, explained in plain words, with games and quizzes to practise.
Axes, Origin and Quadrants
Part of: Axes, Origin and Quadrants
The horizontal x-axis and vertical y-axis meet at the origin. Their signs divide the plane into four quadrants; coordinates are written x first and y second.
Why it matters. The axes give a consistent way to name a point’s location.
Try it in two minutes
- Find the origin where axes meet.
- Read horizontal position first.
- Then read vertical position and signs.
Try at home. Draw two perpendicular number lines and label their intersection.
Coordinates and Location
Part of: Coordinates and Location
An ordered pair names a location by giving its horizontal coordinate first and vertical coordinate second. A grid can represent a map when its scale and reference point are clear.
Why it matters. Coordinates make directions precise, even when a sketch is not available.
Try it in two minutes
- Start at the origin.
- Move along the x direction.
- Then move parallel to the y-axis.
Try at home. Use a simple grid to label locations in a room or playground.
Distance Between Points
Part of: Distance Between Points
For two points, horizontal and vertical coordinate differences form the legs of a right triangle. The distance is the square root of the sum of the squared differences.
Why it matters. This extends the Pythagorean relationship to positions on a plane.
Try it in two minutes
- Subtract corresponding coordinates.
- Square both differences and add.
- Take the square root.
Try at home. Mark two points on graph paper and compare grid-path length with straight distance.
What your child will practise
- Axes, Origin and Quadrants: Jungle Quick Fire (Quick Fire)
- Axes, Origin and Quadrants: Number Quest (Match It Up)
- Axes, Origin and Quadrants: Space Puzzle (Clue Puzzle)
- Coordinates and Location: Mission Control Quest (Collect the Answer)
- Distance Between Points: Desert Quick Fire (Quick Fire)
- Quiz: Axes, Origin and Quadrants (8 questions)
- Quiz: Coordinates and Location (8 questions)
- Quiz: Distance Between Points (8 questions)