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Animated Rectangle for Expanding Algebraic Expressions

Animated Rectangle for Expanding Algebraic Expressions
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2019-02-27 02:10
Coordinate GeometryGeometric Construction
This example demonstrates the expansion of algebraic expressions in brackets using the area of rectangles. Key mathematical concepts include algebraic expansion and geometric area. It uses commands like Polygon and Midpoint in GeoGebra. Suitable for middle school and above students learning algebra and geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, a_1, b_1, c_1, d_1
  2. Polygon(E, F, G, H) → q2, e_1, f_1, g_1, h_1
  3. Midpoint(d_1) → M_{AD}
  4. Midpoint(c_1) → M_{CD}
  5. Midpoint(h_1) → M_{EH}
  6. Midpoint(g_1) → M_{GH}
  7. Midpoint(D, G) → M_{GD}
  8. Midpoint(A, C) → M_{AC}
  9. Midpoint(E, G) → M_{EG}