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Fraction Division Geometric Demonstration by IM 6 – 8 Math

Fraction Division Geometric Demonstration by IM 6 – 8 Math
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2018-04-04 21:07
FunctionTransformationGeometric Construction
This example demonstrates how to explain the concept of fraction division through geometric figures. Key mathematical concepts include fractions and geometric transformations. It uses commands like LCM, PolyLine, Sequence, Textfield, Segment, etc. Suitable for middle school and above students to learn fraction division and geometric transformations.

GeoGebra Commands & Parameters

  1. LCM(Bn, Rn) → Pn
  2. PolyLine(B, B + (dist, 0), B + (dist, ht), B + (0, ht), B) → f
  3. Sequence(Polygon[B + ((dist * (i - 1) / Bn), 0), B + ((dist * i / Bn), 0), B + ((dist * i / Bn), ht), B + ((dist * (i - 1) / Bn), ht)], i, 1, Bn) → list1
  4. Sequence(Polygon[B + ((dist * (i - 1) / Bn), 0), B + ((dist * i / Bn), 0), B + ((dist * i / Bn), ht), B + ((dist * (i - 1) / Bn), ht)], i, 1, ShG) → list2
  5. Textfield(Bn) → InputBox1
  6. Textfield(Rn) → InputBox2
  7. PolyLine(A, A + (dist, 0), A + (dist, ht), A + (0, ht), A) → r
  8. Textfield(ShG) → InputBox3
  9. Textfield(ShB) → InputBox4
  10. Segment(E_1, I_1) → f_1
  11. Segment(E_2, J_1) → g_1
  12. Segment(D_1, K_1) → h_1
  13. Segment(E_3, L_1) → i_1
  14. Segment(F_1, M_1) → j_1
  15. Segment(G_1, H_1) → k_1
  16. Segment(G_2, P_1) → l_1
  17. Segment(F_2, Q_1) → m_1
  18. Segment(E, G) → i
  19. Segment(D, F) → j
  20. fractionbar(B, Pn, 0, dist, ht) → list5, list5_2, list5_3
  21. fractionbar(C, ShB, ShB, (ShB * dist / Rn), ht) → list4, list6, g
  22. fractionbar((-7, -1), Rn, 0, dist, ht) → list3, list3_2, list3_3

AI Drawing Prompt Reference

Create a geometric figure to demonstrate the concept of fraction division. Start by drawing a rectangle, then use the LCM function and PolyLine command to draw the geometric representation of fractions. Next, use the Sequence command to draw a series of rectangles, representing geometric transformations of fractions. Finally, add text input boxes to input the numerator and denominator of the fraction, as well as the parameters for geometric transformations.
The prompt above was compiled from the original drawing commands and is for reference only.