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Basic Operations and Bracket Rules: Demonstrating Math Calculations with GeoGebr

Basic Operations and Bracket Rules: Demonstrating Math Calculations with GeoGebr
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2024-03-06 15:42
Geometric Construction
In collections Bruchzahlen - Verbindung der Grundrechnungsarten
This example demonstrates how to perform basic operations and apply bracket rules in mathematical calculations. The key mathematical concepts involved include order of operations, precedence of brackets, and their correct application. In the construction, GeoGebra commands such as If, Join, Point, and others are used to build the calculation process. It is suitable for students in grades 5 to 6 to practice mathematical operations and understand bracket rules.

GeoGebra Commands & Parameters

  1. If(startpage, J1, J2) → J
  2. Join(Sequence[Shuffle[Sequence[1, maxexnum]], m, 1, floor(110 / maxexnum)]) → listExNums
  3. If(Defined[input4], input4 ≟ sol1 ∧ input5 ≟ sol2 ∧ input6 ≟ sol3, input5 ≟ (sol1 * sol3) + sol2 ∧ input6 ≟ sol3) → correct3
  4. Point(Line[P0, xAxis]) → P1
  5. Point(Line[P0, xAxis]) → P2
  6. Point(Line[P0, xAxis]) → P3
  7. Point(Line[P0, xAxis]) → P4
  8. Point(Line[P0, xAxis]) → P5
  9. Element({P1, P2, P3, P4, P5}, exnum) → P
  10. Textfield(input1) → InputBox1
  11. Textfield(input2) → InputBox2
  12. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {0, 3, 10, 10, 9, 1, 9, 3, 6, 2, 1, 8, 2, 0, 7, 10, 8, 9, 0, 5, 9, 5, 0, 8, 3, 2, 0, 10, 0, 8, 9, 3, 2, 0, 7, 10, 7, 3, 1, 2, 8, 3, 9, 8, 4, 10, 4, 6, 1, 10, 9, 8, 1, 4, 8, 4, 6, 10, 3, 0, 4, 4, 10, 6, 5, 6, 7, 7, 9, 3, 6, 2, 5, 7, 1, 7, 2, 0, 5, 10, 4, 0, 2, 8, 8, 4, 8, 6, 6, 4, 10, 3, 6, 1, 10, 8, 8, 10, 8, 7}
  13. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  14. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {3, 3, 4, 3, 10, 1, 4, 8, 2, 1, 1, 4, 10, 3, 9, 6, 8, 0, 7, 2, 5, 3, 3, 8, 0, 2, 7, 7, 8, 5, 3, 9, 3, 3, 1, 0, 3, 4, 2, 5, 0, 2, 9, 1, 4, 0, 7, 6, 3, 8, 7, 3, 4, 5, 0, 6, 4, 0, 5, 2, 3, 8, 0, 2, 9, 5, 0, 6, 6, 4, 0, 8, 7, 6, 8, 4, 3, 10, 8, 8, 8, 0, 5, 3, 0, 5, 7, 8, 6, 8, 10, 0, 1, 1, 3, 10, 6, 5, 6, 5}
  15. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  16. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  17. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  18. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  19. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  20. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  21. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  22. Defined(If[showHintKurzen, (input6 * input5), (input2 * input3)]) → fixed
  23. LaTeX(exnum, true, true) → Text3
  24. Textfield(input3) → InputBox3
  25. Textfield(input5) → InputBox5
  26. Textfield(input6) → InputBox6
  27. Point(Line[P, xAxis]) → Q
  28. Textfield(input4) → InputBox4
  29. If(showHintKurzen ∧ kurzen, P + (3.5, -0.5), P + (1.5, -0.5)) → S
  30. If(sol ≥ 1, "#006758", "#ffffff") → color1
  31. If(sol ≥ 2, "#006758", "#ffffff") → color2
  32. If(sol ≥ 3, "#006758", "#ffffff") → color3
  33. If(sol ≥ 4, "#006758", "#ffffff") → color4
  34. If(sol ≥ 5, "#006758", "#ffffff") → color5
  35. Polygon(B, C, D, E) → v1, b, c, d, e
  36. Textfield(test1) → Eingabefeld1
  37. Textfield(test2) → Eingabefeld2
  38. Textfield(test3) → Eingabefeld3
  39. Textfield(test4) → Eingabefeld4
  40. Textfield(test5) → Eingabefeld5
  41. Textfield(test6) → Eingabefeld6
  42. Point(Line[H, xAxis]) → I
  43. SpeechBubbleLeft(J, 6.3, 0.75) → Vieleck1
  44. If(sol ≥ 6, "#006758", "#ffffff") → color6
  45. Sequence(K + (0, (m * abssol)), m, 1, maxsol) → listPointsSol
  46. SpeechBubbleLeft(J, 7.3, 1.7) → Vieleck2

AI Drawing Prompt Reference

Draw a graph containing multiple polygons, including a hexagon and a pentagon, connected by a straight line. The graph includes multiple points and text boxes for input and display of information. Generate the polygon vertices coordinates based on the given random numbers and calculate and display the results according to the user's input values.
The prompt above was compiled from the original drawing commands and is for reference only.