Fraction Division

Fraction Division
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2021-11-18 04:54
This example demonstrates the process of fraction division. It involves key mathematical concepts such as fractions and division. Using GeoGebra commands like Vector, LCM, DivPoint, etc., a geometric model of fraction division is constructed. Suitable for high-grade elementary or junior high school students to learn the concepts and operations of fraction division.

GeoGebra Commands & Parameters

  1. Vector(A, U) → v_1
  2. LCM(b, d) → o
  3. DivPoint(A, D, o) → list7
  4. DivPoint(B, C, o) → list8
  5. Polygon(A, Element[list7, t], Element[list8, t], B) → poly5, q, r, f_1, g_1
  6. Polygon(E, F, G, H) → poly2, e, f_2, g, h
  7. Segment(I, J) → i
  8. Segment(K, L) → j
  9. Textfield(a) → InputBox1
  10. Textfield(b) → InputBox2
  11. Textfield(c) → InputBox3
  12. Textfield(d) → InputBox4
  13. Polygon(A, D, C, B) → poly1, a_1, d_1, c_1, b_1
  14. DivPoint(A, D, b) → list1
  15. DivPoint(B, C, b) → list2
  16. DivPoint(E, F, d) → list3
  17. DivPoint(H, G, d) → list4
  18. Sequence(Segment[Element[list1, i], Element[list2, i]], i, 1, b) → list5, {2, 2, 2, NaN}
  19. Sequence(Segment[Element[list3, i], Element[list4, i]], i, 1, d) → list6, {2, 2, 2, 2, 2, 2, NaN}
  20. Polygon(A, Element[list1, a], Element[list2, a], B) → poly3, a_2, k, l, b_2
  21. Polygon(E, Element[list3, c], Element[list4, c], H) → poly4, e_1, m, n, h_1
  22. DivPoint(E, F, o) → list9
  23. DivPoint(H, G, o) → list10
  24. Sequence(Segment[Element[list7, i], Element[list8, i]], i, 1, o) → list11, {2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004, 2, 2, 2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004, 2, 2, 2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004, 2, 2, 2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004, 2, NaN}
  25. Sequence(Segment[Element[list9, i], Element[list10, i]], i, 1, o) → list12, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, NaN}
  26. Sequence(Polygon[Element[list7, (t * i)], Element[list7, (t * (i + 1))], Element[list8, (t * (i + 1))], Element[list8, (t * i)]], i, 1, p - 1) → list13, {}
  27. Segment(M, N) → f
  28. Segment(O, P) → i_1
  29. Point(e_1) → V
  30. Vector(V, U) → u_1
  31. Translate(poly5, v_1) → poly4'
  32. Translate(poly3, v_1) → poly3'
  33. Sequence(Translate[Element[list11, i], v_1], i, 0, t) → liste1, {NaN, 2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004, 2, 2, 2, 1.9999999999999996, 1.9999999999999996, 2.0000000000000004, 2.0000000000000004}
  34. Translate(k, v_1) → k'
  35. Translate(a_2, v_1) → j_1
  36. Translate(B, v_1) → B'
  37. Translate(A, v_1) → A'
  38. Segment(B', A') → k_1
  39. Translate(l, v_1) → l'
  40. Translate(e_1, u_1) → l_1
  41. Translate(H, u_1) → H'
  42. Translate(m, u_1) → m'
  43. Translate(n, u_1) → n'
  44. Midpoint(j_1) → W
  45. Midpoint(n') → Z
  46. Midpoint(m') → A_1

AI Drawing Prompt Reference

Draw a geometric model demonstrating the process of fraction division, involving two triangles and a quadrilateral, constructed using vectors, least common multiples, and division points to show the geometric meaning of fraction division, suitable for junior high school students.
The prompt above was compiled from the original drawing commands and is for reference only.