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Fraction Operations Practice - Combined Arithmetic

Fraction Operations Practice - Combined Arithmetic
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2024-03-06 15:43
Geometric Construction
In collections Bruchzahlen - Verbindung der Grundrechnungsarten
This example practices arithmetic operations using fraction bubbles. Core math concepts include parentheses and order of operations, as well as the application of combined arithmetic. The construction uses GeoGebra commands such as Join, Spline, Textfield, and Polygon. Suitable for 5-6 grade students.

GeoGebra Commands & Parameters

  1. Join({Shuffle[{3, 8}], Shuffle[{1, 2, 4, 5, 6, 7}]}) → ExNumList
  2. Spline({Spline4Start, Spline4Mid, Spline4End}, 3) → Spline4
  3. Spline({Spline3Start, Spline3Mid, Spline3End}, 3) → d
  4. Spline({Spline2Start, Spline2Mid, Spline2End}, 3) → b
  5. Spline({Spline1Start, Spline1Mid, Spline1End}, 3) → a
  6. Textfield(input1) → InputBox1
  7. Textfield(input2) → InputBox2
  8. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  9. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {2, 7, 7, 6, 2, 0, 2, 8, 5, 5, 8, 6, 4, 0, 3, 6, 1, 9, 4, 1, 7, 1, 1, 5, 10, 1, 5, 3, 7, 9, 9, 8, 6, 8, 6, 0, 9, 7, 4, 10, 8, 0, 3, 6, 7, 10, 0, 8, 3, 7, 5, 6, 6, 1, 6, 9, 9, 1, 2, 9, 1, 3, 4, 0, 10, 4, 6, 9, 1, 4, 2, 5, 1, 1, 10, 2, 7, 7, 3, 8, 9, 7, 10, 1, 6, 8, 8, 5, 0, 8, 7, 0, 5, 7, 1, 8, 6, 0, 10, 6}
  10. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  11. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {2, 2, 1, 4, 6, 1, 9, 8, 2, 7, 2, 6, 9, 5, 2, 1, 0, 1, 10, 4, 1, 3, 6, 2, 0, 10, 6, 0, 3, 1, 5, 0, 7, 2, 2, 10, 7, 9, 1, 9, 10, 10, 10, 9, 9, 5, 9, 2, 9, 10, 8, 2, 3, 8, 5, 5, 6, 10, 9, 6, 7, 7, 4, 0, 10, 5, 2, 8, 1, 4, 4, 4, 4, 3, 9, 6, 5, 10, 0, 8, 0, 2, 2, 5, 4, 10, 6, 3, 3, 8, 3, 9, 0, 9, 10, 9, 3, 1, 1, 2}
  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. Circle(MaschineBtnPos, radiusBTN) → c
  20. Text(Text1, MC1TextPos, false, true, 0, 0) → Text6
  21. Text(Text2, MC2TextPos, false, true, 0, 0) → Text7
  22. Text(Text3, MC3TextPos, false, true, 0, 0) → Text8
  23. Text(Text4, MC4TextPos, false, true, 0, 0) → Text9

AI Drawing Prompt Reference

Create a coordinate-plane practice graphic for combined fraction arithmetic. First, generate several points to define smooth curved paths, then draw three separate spline curves to form the key curved boundary segments. Add text input boxes in the layout to let the learner enter fraction-operation expressions. Also build a rectangular region by defining its four corner points and drawing the rectangle boundary. Place the additional text fields in the designed positions so the diagram clearly supports interactive fraction-operation practice.
The prompt above was compiled from the original drawing commands and is for reference only.