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Modeling Equations with Bar Models

Modeling Equations with Bar Models
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2019-06-07 00:12
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the relationship between a bar model and an equation by directly modifying the bar model. Key mathematical concepts include the correspondence between bar models and equations. It uses commands such as Segment, Point, Polygon, and Sequence in GeoGebra. Suitable for middle school and above students to learn equation modeling.

GeoGebra Commands & Parameters

  1. Segment(F, G) → g
  2. Segment(C, D) → f
  3. Point(f) → B
  4. Point(g) → E
  5. Polygon((0, 0), (x(B) - x(A), 0), (x(B) - x(A), 1), (0, 1)) → l1, l1_2, l1_3, l1_4, l1_5
  6. Sequence(Polygon[(m, 1), (m - 1, 1), 4], m, x(E) - x(A) + 1, 0) → l4
  7. Polygon((x(E), -1), (x(B), -1), (x(B), 0), (x(E), 0)) → q1, h, i, j, k