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Using Scales for Multiplication Equations

Using Scales for Multiplication Equations
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2017-11-07 23:39
FunctionCoordinate GeometryGeometric Construction
This example uses scales to solve multiplication equations, demonstrating how to visually understand the solutions of multiplication equations through geometric figures. Key mathematical concepts include scales and multiplication equations. The construction uses commands like Textfield, Polygon, Circle, Random, etc. Suitable for middle school and above students.

GeoGebra Commands & Parameters

  1. Textfield(Usertext) → InputBox1
  2. Polygon((2.75, 1.95), (2.75, 2.05), (8.25, 2.05), (8.25, 1.95)) → ScaleBottom1, f, g, h, i
  3. Polygon((4.3, 2.35), (4.3, 2.55), (6.7, 2.55), (6.7, 2.35)) → ScaleBottom3, n, p, q, r
  4. Polygon((5, 2.55), (5, 3.25), (6, 3.25), (6, 2.55)) → ScaleBottom4, s, t, d, e
  5. Polygon((2.75, 2.05), (2.75, 2.35), (8.25, 2.35), (8.25, 2.05)) → ScaleBottom2, j, k, l, m
  6. Polygon(Left + (0, 0.2), Left - (0, 0.2), Right - (0, 0.2), Right + (0, 0.2)) → ScaleArm, f_1, g_1, h_1, i_1
  7. Circle(Left, 0.5) → LeftArmCircle1
  8. Circle(Left, 0.3) → LeftArmCircle2
  9. Circle(Right, 0.5) → RightArmCircle1
  10. Circle(Right, 0.3) → RightArmCircle2
  11. Polygon(Left - (0.15, 0), Left + (0.15, 0), Left + (0.15, 0.8), Left + (-0.15, 0.8)) → LeftArmStand, j_1, k_1, l_1, m_1
  12. Polygon(Right - (0.15, 0), Right + (0.15, 0), Right + (0.15, 0.8), Right + (-0.15, 0.8)) → RightArmStand, n_1, p_1, q_1, r_1
  13. Polygon(Left + (-2.25, 0.8), Left + (-2.25, 1), Left + (2.25, 1), Left + (2.25, 0.8)) → LeftTray, s_1, t_1, a_1, b_1
  14. Polygon(Right + (-2.25, 0.8), Right + (-2.25, 1), Right + (2.25, 1), Right + (2.25, 0.8)) → RightTray, c_1, d_1, e_1, f_2
  15. Circle((5.5, 3.4), 0.6) → ScaleBottom5
  16. Circle((5.5, 3.4), 0.4) → ScaleBottom6
  17. Random(1, 2) → numorder
  18. Random(1, 2) → sideorder

AI Drawing Prompt Reference

Draw a geometric figure to demonstrate how to solve multiplication equations using scales. The figure includes a rectangular frame at the bottom with three different-sized rectangles on top, representing the scales. On both sides, there are movable arms with circular decorations connected to pillars, which support trays at the bottom for placing the scales. The entire figure visually illustrates the solution to multiplication equations through geometric shapes, suitable for middle school and above students to understand the relationship between scales and multiplication.
The prompt above was compiled from the original drawing commands and is for reference only.