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Divisibility by 3: Mysterious Numbers

Divisibility by 3: Mysterious Numbers
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2024-01-23 15:06
Geometric Construction
In collections Teilbarkeitsregeln
This example demonstrates how to determine if a number is divisible by 3. Key math concepts include number sense, factors, and multiples. Using GeoGebra commands such as Textfield and Shuffle, students can interactively explore and verify the rules for divisibility by 3. Suitable for 5-6th grade students.

GeoGebra Commands & Parameters

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Shuffle(1…9) → Num1List, {9, 5, 6, 3, 8, 7, 2, 4, 1}
  4. Shuffle(0…9) → Num2List, {7, 4, 8, 9, 6, 1, 0, 2, 3, 5}
  5. Shuffle(0…9) → Num3List, {8, 4, 0, 5, 7, 6, 9, 3, 2, 1}
  6. Shuffle(0…9) → Num4List, {4, 7, 9, 8, 1, 6, 3, 0, 2, 5}
  7. Shuffle(1…4) → exList, {4, 1, 2, 3}
  8. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  9. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {6, 3, 7, 4, 8, 4, 3, 6, 3, 1, 1, 10, 1, 9, 9, 4, 3, 1, 10, 5, 5, 4, 5, 8, 3, 3, 3, 1, 6, 9, 7, 9, 0, 0, 1, 1, 9, 6, 8, 1, 3, 4, 7, 8, 0, 9, 9, 3, 1, 10, 6, 5, 6, 9, 7, 6, 0, 0, 6, 5, 4, 9, 3, 4, 7, 0, 3, 4, 6, 6, 3, 0, 3, 2, 2, 7, 5, 5, 3, 9, 0, 3, 8, 6, 6, 9, 8, 5, 3, 7, 9, 6, 9, 10, 0, 3, 5, 8, 2, 6}
  10. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  11. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {8, 0, 7, 8, 1, 3, 2, 7, 10, 0, 5, 10, 3, 4, 6, 8, 0, 0, 9, 3, 7, 3, 2, 4, 10, 0, 6, 8, 4, 1, 10, 2, 10, 5, 0, 9, 3, 5, 4, 8, 9, 9, 8, 8, 1, 4, 4, 2, 10, 5, 5, 6, 5, 2, 3, 6, 4, 8, 9, 3, 2, 3, 1, 1, 9, 8, 3, 3, 7, 8, 8, 8, 4, 3, 6, 1, 8, 7, 9, 1, 8, 0, 7, 1, 9, 4, 7, 3, 6, 6, 1, 9, 10, 8, 9, 4, 5, 6, 8, 3}
  12. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  13. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  14. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  15. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  16. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  17. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  18. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  19. Textfield(input3) → InputBox3
  20. Textfield(input4) → InputBox4
  21. If(multiplesol, 3, 3 - Mod[ziffernsummeohneinput, 3]) → sol
  22. SpeechBubbleRight(K, 8.7, 2) → SpeechStep1
  23. SpeechBubbleRight(K, 7.2, 1.5) → Vieleck1

AI Drawing Prompt Reference

Create an interactive graphic demonstrating divisibility by 3. Include input boxes for users to enter numbers, and display random arrangements of digits 1-9 and 0-9. Mark pairs of randomly generated numbers with different colors and draw a rectangle formed by four points. Use speech bubbles to indicate whether the sum of the digits of the input number is a multiple of 3.
The prompt above was compiled from the original drawing commands and is for reference only.