The Cartesian Coordinate System

Description

Introduces the Cartesian coordinate system by drawing labeled x and y axes with gridlines, then plotting four points across all four quadrants. For each point, dashed guide lines reveal how to read x and y coordinates.

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Phases

#	Phase Name	Duration	Description
1	Axes & Grid	7s	Fade in gridlines, then draw x and y axes with arrows and tick labels.
2	Quadrant Labels	5s	Label all four quadrants (I, II, III, IV) in their respective corners.
3	Plot Points	20s	Plot (2,3), (-1,4), (-3,-2), (4,-1) one at a time. Each gets dashed guide lines and a coordinate label.
4	Summary	6s	Highlight axis signs in each quadrant; show the (x, y) convention.

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Layout

+------------------------------------------------------+
|        [Title: Cartesian Coordinate System]          |
|                       |                              |
|      Q II             |            Q I               |
|                       |                              |
|    ---+---+---+---+---0---+---+---+---+----->  x     |
|                       |                              |
|      Q III            |            Q IV              |
|                       |                              |
|                       v y                            |
+------------------------------------------------------+

Area Descriptions

Area	Content	Notes
Full center	Grid and axes	Created first
Four corners	Quadrant labels I-IV	Roman numerals, color coded
Various	Plotted dots + dashed lines + labels	One at a time
Bottom	Summary text	Final phase

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Assets & Dependencies

• Fonts: LaTeX / sans-serif
• Colors:
  • Quadrant I: GREEN
  • Quadrant II: BLUE
  • Quadrant III: RED
  • Quadrant IV: ORANGE
  • Grid: dark gray
  • Axes: WHITE
  • Dashed guides: YELLOW
  • Background: #1a1a2e
• Manim version: ManimCE 0.19.1

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Notes

• Use NumberPlane for grid and axes.
• Dashed lines are vertical + horizontal Line objects animating from axis to point.
• Each point highlighted with a colored Dot and coordinate label.