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Solving First Degree Equations

Solving First Degree Equations
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2016-04-11 00:04
FunctionSequenceGeometric Construction
This example demonstrates solving first degree equations through subtraction. Key mathematical concepts include the solution methods for first degree equations. It uses commands like If, Ellipse, Segment, Intersect, Point, Polygon, Midpoint, Sequence, and Textfield in GeoGebra. Suitable for middle school mathematics education.

GeoGebra Commands & Parameters

  1. If((u * UL) + L ≟ (u * UR) + R, 0, If[(u * UL) + L ≥ (u * UR) + R, -1, 1]) → B
  2. Ellipse((-3, B), (-7, B), 2.25) → c
  3. Ellipse((3, (-B)), (7, (-B)), 2.25) → d
  4. Segment((-5, B), (-5, -3)) → a
  5. Intersect(c, a) → A,
  6. Segment((5, (-B)), (5, -3)) → b
  7. Intersect(d, b) → C,
  8. Segment(A, A') → e
  9. Segment(C, C') → f
  10. Segment(A', C') → g
  11. Intersect(yAxis, g) → D
  12. Point(yAxis) → E
  13. Polygon((10.455803599971945, 4.428079038697364), (11.45154195318282, 4.426628459182624), (11.45154195318282, 4.926628459182623), (10.455803599971945, 4.928079038697364)) → poly2, i, j, k, m
  14. Segment(D, E) → h
  15. Polygon(F, G, H, I) → poly3, f_1, g_1, h_1, i_1
  16. Midpoint(J, M) → O
  17. Sequence(Polygon[(-4.5, B - 0.5 + t / 2), (-3.5, B - 0.5 + t / 2), (-3.5, B + t / 2), (-4.5, B + t / 2)], t, 1, L, 1) → list1
  18. Polygon((-11.445852088028492, 4.308916490437969), (-10.445852088028493, 4.308916490437969), (-10.445852088028493, 4.8089164904379675), (-11.445852088028492, 4.8089164904379675)) → poly4, n, p, q, s
  19. Polygon((-10.543680266275816, -2.544527077316755), (-10.543680266275816, -1.5445270773167552), 4) → poly1
  20. Polygon((11.557939744940192, -2.5558711836942214), (11.557939744940192, -1.5558711836942218), 4) → poly1_3
  21. Polygon((-10.806626137271166, 7.362992675821548), (-9.806626137271168, 7.362992675821548), (-9.806626137271168, 7.8629926758215465), (-10.806626137271166, 7.8629926758215465)) → poly4_1, n_1, p_1, q_1, s_1
  22. Polygon((-10.806626137271166, 7.362992675821548), (-9.806626137271168, 7.362992675821548), (-9.806626137271168, 7.8629926758215465), (-10.806626137271166, 7.8629926758215465)) → poly4_2, n_2, p_2, q_2, s_2
  23. Sequence(Polygon[(-6.5, B - 1 + t), (-5.5, B - 1 + t), 4], t, 1, UL, 1) → list3
  24. Sequence(Polygon[(3.5, (-B) - 1 + t), (4.5, (-B) - 1 + t), 4], t, 1, UR, 1) → list4
  25. Sequence(Polygon[(5.5, (-B) - 0.5 + t / 2), (6.5, (-B) - 0.5 + t / 2), (6.5, (-B) + t / 2), (5.5, (-B) + t / 2)], t, 1, R, 1) → list2
  26. Textfield(fml) → input_fml
  27. Textfield(fmr) → InputBox1
  28. Textfield(fmul) → InputBox2
  29. Textfield(fmur) → InputBox3