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Power of a Product Rules Practice

Power of a Product Rules Practice
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2024-10-16 17:46
FunctionInequalityGraphing
In collections Rechnen mit Potenzen
This interactive GeoGebra example helps students master the power of a product rule: (ab)ⁿ = aⁿ × bⁿ. Students need to determine whether given equations are correct and verify their answers. Construction details: Textfield command creates input boxes for student responses, Shuffle randomly orders the questions, Element extracts problems from lists, validate and showanswer enable answer checking and hints, while attemptCount and correctCount track progress. The exercises cover integer exponent operations with products, developing students' ability to describe, apply, and justify basic exponent rules. Suitable for grade 7-8 students as classroom practice or self-review.

GeoGebra Commands & Parameters

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 2), k, 1, 50] \ Shuffle[Sequence[(k * 10), k, 1, 10]]], i], i, 1, 5]) → RandomList2, {78, 82, 56, 64, 22}
  4. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 5), k, 1, 20] \ Shuffle[Sequence[(k * 10), k, 1, 10]]], i], i, 1, 5]) → RandomList5, {65, 15, 45, 15, 55}
  5. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 10), k, 1, 10]], i], i, 1, 5]) → RandomList10, {50, 10, 10, 50, 20}
  6. Shuffle(Join[{RandomList2, RandomList5, RandomList10}]) → RandomListNum, {82, 15, 55, 15, 50, 65, 56, 20, 50, 64, 10, 22, 45, 78, 10}
  7. Shuffle({1, 2, 3, 4, 5, 6}) → ExNumList, {1, 3, 2, 5, 6, 4}
  8. Shuffle({1, 2, 3}) → Order, {2, 1, 3}
  9. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  10. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {2, 10, 8, 4, 10, 9, 0, 1, 8, 7, 9, 3, 3, 10, 5, 7, 1, 8, 9, 10, 10, 10, 4, 8, 5, 6, 5, 9, 8, 6, 6, 8, 3, 4, 5, 10, 10, 0, 9, 3, 1, 7, 4, 3, 6, 10, 3, 9, 2, 8, 4, 5, 5, 10, 8, 0, 4, 5, 7, 5, 9, 0, 7, 6, 3, 8, 3, 7, 7, 4, 8, 10, 7, 9, 1, 7, 3, 4, 9, 5, 10, 5, 8, 4, 3, 3, 7, 5, 4, 6, 10, 8, 5, 2, 5, 8, 6, 8, 4, 1}
  11. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  12. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {1, 7, 7, 9, 0, 0, 9, 2, 9, 6, 0, 7, 0, 4, 4, 8, 4, 3, 6, 3, 1, 10, 3, 9, 1, 9, 9, 0, 9, 8, 5, 5, 6, 1, 1, 9, 5, 9, 4, 6, 4, 2, 5, 8, 0, 7, 5, 0, 3, 5, 7, 7, 10, 10, 9, 6, 0, 7, 3, 5, 6, 0, 1, 0, 7, 10, 10, 9, 8, 8, 4, 10, 10, 3, 4, 0, 3, 10, 8, 4, 1, 2, 4, 7, 8, 7, 10, 6, 4, 6, 3, 5, 8, 0, 10, 5, 6, 5, 8, 4}
  13. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  14. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  15. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  16. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  17. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  18. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  19. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  20. Shuffle({1, 2}) → Vis1, {2, 1}
  21. Shuffle({1, 2}) → Vis2, {2, 1}
  22. Shuffle({1, 2}) → Vis3, {2, 1}
  23. Corner(PostIt11, 3) → PostIt1_3
  24. Corner(PostIt11, 4) → PostIt1_4
  25. Corner(PostIt21, 3) → PostIt2_3
  26. Corner(PostIt21, 4) → PostIt2_4
  27. Corner(PostIt31, 3) → PostIt3_3
  28. Corner(PostIt31, 4) → PostIt3_4
  29. Length(AuswahlAnzahlList) → auswahlanzahl
  30. Text(correctText, CorrP, false, true, 0, 0) → Text4
  31. Text(PostText1Helper, A, false, true, 0, 0) → PostText1
  32. Text(PostText2Helper, B, false, true, 0, 0) → PostText2
  33. Text(PostText3Helper, C, false, true, 0, 0) → PostText3

AI Drawing Prompt Reference

Draw a graph containing multiple randomly distributed points, where the coordinates of the points are generated from two random number sequences, each number in the sequence representing a point's coordinate on the x-axis or y-axis. The graph also includes a sequence of randomly distributed points to indicate whether certain points have consecutive or repeated coordinates. Please generate these points based on the given random number sequences and plot them on the graph.
The prompt above was compiled from the original drawing commands and is for reference only.