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Compare Numbers Practice

Compare Numbers Practice
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2023-11-02 21:39
InequalityGeometric ConstructionSlider Animation
In collections Ordnen und Vergleichen von Bruchzahlen
This example demonstrates how to let students compare and order natural numbers as well as non-negative decimal and fraction numbers. The core math concepts involved include number sense and rational number comparison. Key GeoGebra commands used for construction include Shuffle, Element, Textfield, Polygon, Append, Remove, Reverse, Mod, etc., to create random problems and interactive exercises. Suitable for 5-6 grade students to practice comparing and ordering natural numbers and non-negative decimals and fractions.

GeoGebra Commands & Parameters

  1. Shuffle(Sequence[RandomElement[{2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 24}], i, 1, 100]) → randomB, {15, 5, 10, 4, 8, 6, 9, 5, 2, 9, 7, 12, 10, 6, 5, 15, 24, 7, 4, 4, 10, 10, 3, 24, 12, 15, 10, 12, 2, 24, 3, 15, 5, 24, 12, 9, 12, 24, 2, 15, 2, 4, 24, 12, 24, 4, 8, 5, 6, 24, 12, 12, 7, 15, 15, 24, 9, 5, 6, 4, 12, 6, 9, 4, 2, 9, 4, 2, 4, 10, 5, 5, 3, 5, 8, 12, 4, 3, 15, 3, 24, 3, 4, 4, 3, 3, 6, 6, 2, 8, 4, 15, 8, 6, 7, 3, 12, 4, 4, 8}
  2. Element(randomB, Mod[questionCount, 100] + 1) → numB
  3. Shuffle(Sequence[RandomElement[{2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 24}], i, 1, 100] \ {numB}) → randomD, {12, 9, 15, 9, 8, 8, 2, 12, 10, 6, 12, 24, 6, 24, 7, 4, 7, 9, 24, 7, 12, 15, 10, 9, 6, 8, 15, 9, 4, 7, 12, 2, 10, 9, 2, 9, 8, 8, 10, 8, 8, 2, 3, 3, 2, 12, 10, 4, 8, 12, 2, 8, 4, 7, 3, 6, 2, 2, 12, 2, 4, 3, 9, 4, 9, 15, 3, 6, 10, 8, 10, 9, 24, 3, 6, 6, 3, 8, 24, 3, 15, 15, 7, 7, 6, 2, 7, 15, 9, 2}
  4. Element(randomD, Mod[questionCount, 100] + 1) → numD
  5. Shuffle(Sequence[Random[1, numB - 1], i, 1, 100]) → randomA, {3, 2, 4, 3, 3, 1, 4, 4, 3, 1, 4, 3, 4, 4, 4, 2, 3, 3, 2, 4, 4, 3, 3, 4, 4, 2, 4, 4, 2, 4, 1, 3, 4, 3, 2, 2, 2, 2, 1, 3, 4, 4, 3, 2, 4, 2, 2, 4, 1, 1, 4, 1, 4, 2, 4, 4, 4, 1, 1, 4, 2, 1, 4, 3, 4, 1, 4, 4, 4, 3, 1, 3, 3, 1, 3, 3, 3, 1, 1, 2, 2, 4, 1, 2, 1, 4, 2, 3, 3, 1, 3, 2, 4, 4, 4, 3, 2, 1, 3, 3}
  6. Shuffle(Sequence[RandomElement[{0, 1}], i, 1, 100]) → modelist, {1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1}
  7. Element(modelist, Mod[questionCount, 100] + 1) → mode
  8. Shuffle(Sequence[Random[1, numD - 1], i, 1, 100] \ {numA}) → randomC, {1, 5, 8, 1, 7, 8, 5, 1, 1, 6, 4, 4, 1, 4, 4, 8, 7, 1, 5, 5, 1, 3, 1, 1, 3, 8, 1, 6, 3, 7, 5, 6, 3, 6, 8, 8, 8, 6, 6, 5, 6, 4, 7, 7, 6, 3, 8, 5, 4, 5, 1, 3, 7, 8, 7, 4, 5, 5, 3, 4, 4, 3, 3, 3, 1, 7, 8, 8, 7, 8, 1, 6, 3, 8, 7, 8, 7, 6, 1, 8, 6, 5, 7, 1, 6, 8, 5, 7, 4, 7, 4, 8, 3}
  9. Textfield(input1) → InputBox1
  10. Textfield(input2) → InputBox2
  11. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  12. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {4, 10, 4, 4, 9, 10, 2, 6, 2, 5, 3, 6, 8, 1, 3, 5, 5, 4, 10, 3, 3, 2, 5, 8, 7, 6, 0, 5, 9, 1, 5, 2, 10, 7, 5, 8, 0, 3, 3, 8, 4, 8, 6, 5, 10, 3, 10, 8, 8, 8, 4, 1, 0, 4, 10, 10, 9, 9, 4, 10, 5, 2, 6, 9, 7, 2, 8, 4, 9, 0, 5, 0, 7, 1, 1, 3, 2, 8, 0, 9, 3, 4, 2, 1, 8, 9, 10, 0, 6, 3, 7, 10, 9, 10, 4, 6, 1, 7, 8, 3}
  13. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  14. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {1, 7, 1, 6, 8, 7, 5, 5, 8, 4, 9, 10, 6, 0, 9, 8, 7, 3, 6, 2, 7, 4, 0, 5, 6, 5, 5, 3, 8, 7, 9, 7, 7, 3, 5, 4, 1, 3, 1, 3, 5, 1, 7, 8, 8, 7, 6, 6, 7, 0, 0, 5, 4, 1, 0, 2, 4, 3, 9, 9, 7, 5, 0, 1, 6, 8, 10, 6, 3, 10, 4, 9, 5, 2, 9, 3, 6, 2, 8, 0, 4, 7, 8, 10, 7, 4, 6, 2, 3, 9, 1, 10, 1, 10, 9, 7, 8, 6, 7, 3}
  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. Reverse(Sequence[Mod[floor(numLeft / 10^(i)), 10], i, -15, 0]) → splitNumLeft
  23. Reverse(Sequence[Mod[floor(numRight / 10^(i)), 10], i, -15, 0]) → splitNumRight
  24. Mod(numA, numB) → modFrac1
  25. Mod(numC, numD) → modFrac2

AI Drawing Prompt Reference

Draw a graph that contains two number comparison problems, each involving the comparison of natural numbers and non-negative fractions. The graph includes two number input boxes, two rectangular boxes for the comparison results, and two mode selection boxes for the comparison mode. The comparison mode can be selected as greater than, less than, or equal to. The graph also includes two lines representing the comparison results, with the line color changing according to the comparison result.
The prompt above was compiled from the original drawing commands and is for reference only.