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Comparing Fractions with the Same Denominator

Comparing Fractions with the Same Denominator
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2023-02-14 21:03
In collections Zahlenstrahl und Ordnen von Brüchen
This example helps students understand the relative size and value of fractions by comparing fractions with the same denominator. It uses GeoGebra commands such as Join, Circle, and Sequence for dynamic demonstrations. Suitable for students in grades 5-6 to learn basic concepts and operations of fractions.

GeoGebra Commands & Parameters

  1. Join({{4}, Shuffle[{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}]}) → RandomNenner
  2. Join({{1}, Shuffle[Sequence[i, i, 1, nenner - 1]]}) → RandomZaehler1
  3. Join({{3}, Shuffle[Sequence[i, i, 1, nenner]] \ {zaehler1}}) → RandomZaehler2
  4. Circle(BruchKreisM1, 2) → BruchKreis1
  5. Circle(BruchKreisM2, 2) → BruchKreis2
  6. Sequence(Rotate[StartDrehe1, ((360°) / schiebenenner1 * k), BruchKreisM1], k, 0, schiebenenner1) → PunkteKreis1
  7. Sequence(Segment[BruchKreisM1, PunkteKreis1(k)], k, 1, schiebenenner1) → StreckenKreis1
  8. Sequence(CircleSector[BruchKreisM1, PunkteKreis1(k), PunkteKreis1(k + 1)], k, 0, schiebezaehler1) → FlächenZaehler1
  9. Sequence(Rotate[StartDrehe2, ((360°) / schiebenenner2 * k), BruchKreisM2], k, 0, schiebenenner2) → PunkteKreis2
  10. Sequence(Segment[BruchKreisM2, PunkteKreis2(k)], k, 1, schiebenenner2) → StreckenKreis2
  11. Sequence(CircleSector[BruchKreisM2, PunkteKreis2(k), PunkteKreis2(k + 1)], k, 0, schiebezaehler2) → FlächenZaehler2
  12. Circle(BruchKreisAnimM, 2) → BruchkreisAnim
  13. Sequence(Rotate[StartDreheAnim, ((360°) / schiebenenner1 * k), BruchKreisAnimM], k, 0, schiebenenner1) → PunkteKreisAnim
  14. Sequence(CircleSector[BruchKreisAnimM, PunkteKreisAnim(k), PunkteKreisAnim(k + 1)], k, 0, schiebezaehler1) → FlächenZaehlerAnim
  15. Distance(BruchKreisM1, BruchKreisM2) → a
  16. SelectedIndex(DropDown1) → Index1
  17. SelectedIndex(DropDown2) → Index2
  18. SelectedIndex(DropDown3) → Index3

AI Drawing Prompt Reference

Draw two circles of equal radius placed side by side, each divided into equal sectors by radial lines. Fill a different number of sectors in each circle with color to represent two fractions with the same denominator but different numerators. Below them, add a smaller circle with the same sector division as the first, for dynamic demonstration. Mark the center of each circle and include a starting point outside for rotation. The layout should clearly compare the sizes of the two fractions.
The prompt above was compiled from the original drawing commands and is for reference only.