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Fraction Multiplication Demo by 現代數學 Modern Mathematics

Fraction Multiplication Demo by 現代數學 Modern Mathematics
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2020-03-27 12:35
PolygonTrigonometryParametric EquationGeometric ConstructionSlider Animation
This example demonstrates the geometric meaning of fraction multiplication, visually showing the process of multiplying fractions through area changes of shapes; core math concepts include fraction multiplication, geometric area calculation, parametric curves, and polygon construction; construction highlights use GeoGebra commands/objects like Polygon, Sequence, and Textfield for dynamic graphics and parameter interaction; suitable for 5th grade students and above for intuitive teaching of fraction multiplication and geometric relationships.

GeoGebra Commands & Parameters

  1. Polygon(A, B, D, C) → q1, a, b_1, d, c
  2. Sequence(Segment[(r, a), (r + 5, a)], a, 0, 5, 5 / k) → list_1
  3. Polygon(A, B, D', C') → q2, a_1, b_2, d', c'
  4. Polygon(A', B', D'', C'') → q3, a', b', d'', c''
  5. Polygon(A', B'', D''', C'') → q4, a'_1, b'', d''', c''_1
  6. Sequence(Segment[(c, 0), (c, 5)], c, 6, 11, 5 / m) → list_2
  7. Textfield(l) → inputBox1
  8. Textfield(k) → inputBox2
  9. Textfield(n) → inputBox3
  10. Textfield(m) → inputBox4
  11. Textfield(ans_l) → inputBox5
  12. Textfield(ans_k) → inputBox6
  13. Textfield(ans_n) → inputBox7
  14. Textfield(ans_m) → inputBox8
  15. Textfield(ans_ln) → inputBox9
  16. Textfield(ans_km) → inputBox10
  17. Textfield(ans_lns) → inputBox11
  18. Textfield(ans_kms) → inputBox12

AI Drawing Prompt Reference

Create a dynamic diagram illustrating fraction multiplication through area. Start with a large rectangle divided horizontally into equal parts based on one fraction's denominator)Skip. Then, to its right or below, divide another rectangle vertically according to the second fraction's denominator. Use sliders or input boxes to adjust numerators and denominators, causing the grids to update and the overlapping region to be highlighted, representing the product. Include multiple text fields for entering fraction values, with the grid and highlighted area updating in real time.
The prompt above was compiled from the original drawing commands and is for reference only.