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Divisibility Rules for 4 and 25

Divisibility Rules for 4 and 25
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2024-01-23 15:07
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This interactive GeoGebra example helps students master the divisibility rules for 4 and 25 through practical exercises. Key mathematical concepts include: definition of divisibility, rule for 4 (last two digits), rule for 25 (last two digits). Construction details: Textfield for user input, Element and If for answer checking, Shuffle and RandomList for generating random questions, ColorText for feedback. Three difficulty levels (Q1-Q3) test understanding, application, and flexible use of rules. Suitable for grades 5-6 students learning number sense and factors/multiples.

GeoGebra Commands & Parameters

  1. Polygon(Q1E1, Q1E2, 4) → Q1, q1_1, q1_2, q1_3, q1_4, Q1E3, Q1E4
  2. Polygon(Q2E1, Q2E2, 4) → Q2, q2_1, q2_2, q2_3, q2_4, Q2E3, Q2E4
  3. Polygon(Q3E1, Q3E2, 4) → Q3, q3_4, q3_1, q3_2, q3_3, Q3E3, Q3E4
  4. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 4), k, 1, 250]], i], i, 1, 5]) → RandomList4, {884, 796, 760, 52, 884}
  5. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 25), k, 1, 40]], i], i, 1, 5]) → RandomList25, {1000, 100, 150, 1000, 700}
  6. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 100), k, 1, 10]], i], i, 1, 5]) → RandomList100, {1000, 800, 800, 100, 400}
  7. Shuffle(Unique[Join[{RandomList4, RandomList25, RandomList100}]]) → RandomListNum, {52, 400, 150, 1000, 700, 796, 100, 884, 760, 800}
  8. Midpoint(Corner[NumText7, 1], Corner[NumText7, 3]) → Pos7
  9. Midpoint(Corner[NumText10, 1], Corner[NumText10, 3]) → Pos10
  10. Midpoint(Corner[T1830, 1], Corner[T1830, 3]) → Pos1830
  11. Midpoint(Corner[NumText6, 1], Corner[NumText6, 3]) → Pos6
  12. Midpoint(Corner[NumText3, 1], Corner[NumText3, 3]) → Pos3
  13. Midpoint(Corner[T1826, 1], Corner[T1826, 3]) → Pos1826
  14. Midpoint(Corner[NumText5, 1], Corner[NumText5, 3]) → Pos5
  15. Midpoint(Corner[NumText9, 1], Corner[NumText9, 3]) → Pos9
  16. Midpoint(Corner[T2628, 1], Corner[T2628, 3]) → Pos2628
  17. Midpoint(Corner[NumText8, 1], Corner[NumText8, 3]) → Pos8
  18. Midpoint(Corner[NumText4, 1], Corner[NumText4, 3]) → Pos4
  19. Midpoint(Corner[NumText2, 1], Corner[NumText2, 3]) → Pos2
  20. Midpoint(Corner[NumText1, 1], Corner[NumText1, 3]) → Pos1
  21. Textfield(aInput) → InputBox1
  22. Textfield(bInput) → InputBox2
  23. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  24. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {1, 3, 5, 5, 0, 10, 9, 0, 9, 8, 2, 8, 6, 10, 10, 1, 3, 6, 9, 10, 4, 2, 0, 9, 2, 10, 6, 3, 6, 3, 9, 6, 5, 3, 5, 3, 0, 5, 7, 4, 0, 3, 9, 0, 9, 10, 0, 9, 8, 6, 4, 9, 10, 7, 8, 1, 3, 7, 2, 5, 2, 0, 6, 0, 10, 9, 6, 10, 8, 2, 8, 0, 7, 10, 4, 10, 9, 4, 9, 8, 0, 3, 0, 10, 6, 6, 9, 3, 10, 0, 10, 1, 3, 6, 7, 7, 2, 6, 9, 8}
  25. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  26. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {9, 9, 1, 8, 9, 1, 7, 8, 7, 6, 10, 8, 8, 2, 4, 3, 0, 6, 10, 7, 6, 6, 8, 5, 2, 4, 4, 8, 2, 10, 6, 0, 1, 7, 0, 5, 3, 2, 7, 7, 2, 9, 6, 4, 0, 10, 3, 4, 6, 7, 9, 9, 0, 4, 6, 2, 2, 8, 4, 5, 10, 2, 5, 1, 7, 2, 8, 6, 3, 5, 0, 3, 3, 3, 8, 2, 3, 6, 9, 8, 5, 1, 3, 7, 1, 3, 6, 6, 4, 9, 7, 2, 2, 3, 4, 10, 1, 6, 6, 6}
  27. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  28. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  29. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  30. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  31. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  32. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  33. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  34. If(Mod[num1, 100] ≟ 0, 1, Mod[num1, 25] ≟ 0, 3, 2) → num1meta
  35. If(Mod[num2, 100] ≟ 0, 1, Mod[num2, 25] ≟ 0, 3, 2) → num2meta
  36. If(Mod[num3, 100] ≟ 0, 1, Mod[num3, 25] ≟ 0, 3, 2) → num3meta
  37. If(Mod[num4, 100] ≟ 0, 1, Mod[num4, 25] ≟ 0, 3, 2) → num4meta
  38. If(Mod[num5, 100] ≟ 0, 1, Mod[num5, 25] ≟ 0, 3, 2) → num5meta
  39. If(Mod[num6, 100] ≟ 0, 1, Mod[num6, 25] ≟ 0, 3, 2) → num6meta
  40. If(Mod[num7, 100] ≟ 0, 1, Mod[num7, 25] ≟ 0, 3, 2) → num7meta
  41. If(Mod[num8, 100] ≟ 0, 1, Mod[num8, 25] ≟ 0, 3, 2) → num8meta
  42. If(Mod[num9, 100] ≟ 0, 1, Mod[num9, 25] ≟ 0, 3, 2) → num9meta
  43. If(Mod[num10, 100] ≟ 0, 1, Mod[num10, 25] ≟ 0, 3, 2) → num10meta
  44. IsInRegion(Pos1, If[num1meta ≟ 1, Q1, num1meta ≟ 2, Q2, Q3]) → correct1
  45. IsInRegion(Pos2, If[num2meta ≟ 1, Q1, num2meta ≟ 2, Q2, Q3]) → correct2
  46. IsInRegion(Pos3, If[num3meta ≟ 1, Q1, num3meta ≟ 2, Q2, Q3]) → correct3
  47. IsInRegion(Pos4, If[num4meta ≟ 1, Q1, num4meta ≟ 2, Q2, Q3]) → correct4
  48. IsInRegion(Pos5, If[num5meta ≟ 1, Q1, num5meta ≟ 2, Q2, Q3]) → correct5
  49. IsInRegion(Pos6, If[num6meta ≟ 1, Q1, num6meta ≟ 2, Q2, Q3]) → correct6
  50. IsInRegion(Pos7, If[num7meta ≟ 1, Q1, num7meta ≟ 2, Q2, Q3]) → correct7
  51. IsInRegion(Pos8, If[num8meta ≟ 1, Q1, num8meta ≟ 2, Q2, Q3]) → correct8
  52. IsInRegion(Pos9, If[num9meta ≟ 1, Q1, num9meta ≟ 2, Q2, Q3]) → correct9
  53. IsInRegion(Pos10, If[num10meta ≟ 1, Q1, num10meta ≟ 2, Q2, Q3]) → correct10
  54. Join(Sequence[Element[Sequence[Sequence[Q1E1 + ((i * dfx), ((-k) * dfy)), i, 0, 2], k, 0, 3], j], j, 1, 4]) → PunkteMenge1
  55. Join(Sequence[Element[Sequence[Sequence[Q2E1 + ((i * dfx), ((-k) * dfy)), i, 0, 2], k, 0, 3], j], j, 1, 4]) → PunkteMenge2
  56. Join(Sequence[Element[Sequence[Sequence[Q3E1 + ((i * dfx), ((-k) * dfy)), i, 0, 2], k, 0, 3], j], j, 1, 4]) → PunkteMenge3
  57. Text(CorrHelper, A, false, true, 0, 0) → Text11

AI Drawing Prompt Reference

Draw a diagram with four circular regions representing the divisibility rules for 4 and 25. The centers of the four circular regions are labeled 1, 2, 3, and 4, representing four different levels of difficulty. Each circular region contains a smaller circle representing the correct answer. The diagram also includes randomly generated numbers representing the numbers in the problems. Determine the correct answer position based on the difficulty level and the number's location.
The prompt above was compiled from the original drawing commands and is for reference only.