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IM 6.2.8 Lesson: Price per Item

IM 6.2.8 Lesson: Price per Item
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2020-07-15 18:00
SequenceProbability & StatisticsSlider Animation
This lesson demonstrates how to calculate the price of one item through random experiments. Key mathematical concepts include natural numbers, random experiments, and combinatorics. Using GeoGebra commands such as Textfield, Point, Segment, GCD, and Sequence, an interactive mathematical model is constructed. Suitable for middle school students learning probability and combinatorics.

GeoGebra Commands & Parameters

  1. Textfield(text4) → InputBox2
  2. Textfield(Q1Jump) → InputBox4
  3. Textfield(text5) → InputBox3
  4. Textfield(Q2Jump) → InputBox5
  5. Point(a) → D
  6. Segment(A, D) → c
  7. Segment(B, C) → d
  8. Text("20%", (scale - 0.25, y(A) + yOffSet)) → text6
  9. Text(8, (scale - 0.12, y(B) + yOffSet)) → text7
  10. GCD(Q1Jump, Q2Jump) → g
  11. Segment(A, I) → i
  12. Segment(B, J) → k
  13. Text(0, (x(A) - 0.12, y(A) - (1.2 * yOffSet))) → text2
  14. Sequence(((e * v), h), v, 0, f) → Q1marks
  15. Sequence(((e * k), 0), k, 0, f) → Q2marks
  16. Sequence(Text[(q * Q1Jump), ((e * q) + topxOffSet, y(B) + yOffSet)], q, 1, f) → TextQ1
  17. Sequence(Text[(p * Q2Jump), ((e * p) + xOffSet, y(A) + yOffSet)], p, 1, f) → TextQ2
  18. Sequence(Text[(q * Q1Jump / 2), ((e / 2 * q) + topxOffSet, y(B) + yOffSet)], q, 1, (f * 2)) → TextQ1split2
  19. Sequence(((e / 2 * l), h), l, 0, (f * 2)) → Q1split2
  20. Sequence(((e / 2 * k), 0), k, 0, (f * 2)) → Q2split2
  21. Sequence(Text[(p * Q2Jump / 2), ((e / 2 * p) + (1.1 * xOffSet), y(A) + yOffSet)], p, 1, (f * 2)) → TextQ2split2
  22. Text(0, (x(B) - 0.12, y(B) + (3.2 * yOffSet))) → text3
  23. Sequence(((e / s * l), h), l, 0, (f * s)) → Q1split
  24. Sequence(((e / s * k), 0), k, 0, (f * s)) → Q2split
  25. Sequence(Text[(q * Q1Jump / s), ((e / s * q) + topxOffSet, y(B) + yOffSet)], q, 1, (f * s)) → TextQ1split
  26. Sequence(Text[(p * Q2Jump / s), ((e / s * p) + xOffSet, y(A) + yOffSet)], p, 1, (f * s)) → TextQ2split

AI Drawing Prompt Reference

Create an interactive mathematical model demonstrating how to calculate the price of one item through random experiments. Include an input box for data entry, a point and a line segment as key elements, with percentage and numerical labels. Use a slider to control parameters of the random experiments, and generate multiple text labels via sequences to display calculation results, including the greatest common divisor and grouped numerical displays.
The prompt above was compiled from the original drawing commands and is for reference only.