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Practice Solving Equations and Modeling Situations with Equations

Practice Solving Equations and Modeling Situations with Equations
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2020-08-04 20:12
FunctionSequenceCoordinate Geometry
This example helps students practice solving equations and modeling situations with equations, covering concepts such as polynomials and linear regression. It uses GeoGebra commands like TextField, Polygon, Point, etc., for construction. Suitable for middle school and above students.

GeoGebra Commands & Parameters

  1. Textfield(m) → InputBox1
  2. Textfield(text5) → InputBox2
  3. Textfield(n) → InputBox3
  4. Textfield(text6) → InputBox4
  5. Textfield(text7) → InputBox5
  6. Polygon(A, B, C, D) → poly1, a_1, b, c, d
  7. Point(poly1) → E
  8. Segment(E, F) → f
  9. Midpoint(D, F) → G
  10. Midpoint(F, C) → H
  11. Sequence(Segment[A + ((i_1 * (k - 1)), 0), A + ((i_1 * (k - 1)), h)], k, 1, m) → list1
  12. Sequence(Segment[E + ((i_2 * (p - 1)), 0), E + ((i_2 * (p - 1)), h)], p, 1, n) → list2
  13. Sequence(Segment[A + ((i_3 * (k - 1)), 0), A + ((i_3 * (k - 1)), h)], k, 1, m) → list3
  14. Sequence(Text[text6, (x(E) + (r * i_2) + i_2 / (n + 1), 0.7)], r, 0, n - 1) → list2t
  15. Sequence(Text[text5, (x(A) + (q * i_3) + i_3 / (m + 1), 0.7)], q, 0, m - 1) → list3t
  16. Sequence(Text[text5, (x(A) + (q * i_1) + i_1 / (m + 1), 0.7)], q, 0, m - 1) → list1t

AI Drawing Prompt Reference

Draw a quadrilateral with four vertices, place a movable point inside it, and connect this point to an external point with a segment. Inside the quadrilateral, generate two sets of equally spaced vertical parallel segments based on two adjustable parameters, dividing the region into a grid. Above each grid, place text labels corresponding to the grid count. Additionally, mark midpoints on two opposite sides of the quadrilateral and connect them with a segment. The overall figure illustrates grid division and variable relationships for equation solving and modeling.
The prompt above was compiled from the original drawing commands and is for reference only.