Percentages

Description

Builds understanding of percentages by shading a 10×10 grid and connecting it to fractions and decimals. A real-world discount example (20% off $50) anchors the concept in everyday math.

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Phases

#	Phase Name	Duration	Description
1	Introduce the Grid	5s	Show a 10×10 grid of 100 small squares. Label "100 squares = 100%".
2	Shade 25%	7s	Animate 25 cells shading. Show 25% = 25/100 = 0.25.
3	Shade 50%	5s	Shade to 50. Show 50% = ½ = 0.5.
4	Shade 75%	5s	Shade to 75. Show 75% = ¾ = 0.75.
5	Pie Chart	6s	Animate a pie chart matching 25/50/75% shading.
6	Real World Example	8s	Show 20% off $50 = $10 discount → pay $40.
7	Summary	3s	Display percent = per hundred.

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Layout

+------------------------------------------------------+
|     [Title: Percentages]                             |
|                                                      |
|  [10×10 Grid — left side]   [Pie chart — right side] |
|                                                      |
|  [Fraction = Decimal display below grid]             |
|  [Discount example below]                            |
+------------------------------------------------------+

Area Descriptions

Area	Content	Notes
Top	Title	Persistent
Left-center	10×10 grid	Cells shade progressively
Right-center	Pie chart	Matches grid percentage
Bottom	Fraction/decimal equivalences	Updates per phase
Bottom (phase 6)	Discount calculation	Real-world example

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Assets & Dependencies

• Fonts: LaTeX / sans-serif
• Colors:
  • Shaded cells: TEAL
  • Unshaded cells: dark gray (#2a2a4a)
  • Pie chart filled: BLUE
  • Pie chart empty: DARK_GRAY
  • Background: #1a1a2e
• Manim version: ManimCE 0.19.1

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Notes

• Cells are small Square objects in a 10×10 VGroup grid.
• Pie chart is an AnnularSector or Sector animating its angle.
• The discount example uses Text and MathTex side by side.