Calculate the Area of a Parallelogram - Level 1

Calculate the Area of a Parallelogram - Level 1
Loading the math board and drawing, please wait…
2024-02-06 17:40
This example demonstrates how to calculate the area of a parallelogram using a grid. Key mathematical concepts include the formula for the area of a parallelogram. GeoGebra commands such as Polygon, Segment, and Intersect are used for construction. Suitable for primary school students in grades 5-6 to practice and understand the calculation of parallelogram areas.

GeoGebra Commands & Parameters

  1. Shuffle(Sequence[Random[7, coordheight - 2], m, 1, 100]) → randomNosForX, {9, 8, 10, 10, 7, 7, 8, 9, 7, 8, 10, 8, 7, 7, 7, 10, 10, 8, 8, 10, 10, 10, 8, 9, 10, 9, 8, 9, 7, 9, 8, 10, 8, 10, 8, 8, 10, 8, 7, 10, 10, 9, 10, 10, 7, 9, 9, 7, 9, 8, 9, 8, 7, 7, 7, 7, 10, 7, 10, 10, 9, 10, 10, 10, 7, 9, 9, 10, 10, 10, 8, 9, 7, 9, 10, 8, 7, 9, 8, 10, 10, 10, 7, 10, 9, 9, 9, 7, 9, 7, 7, 7, 7, 10, 8, 8, 10, 9, 10, 10}
  2. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  3. Shuffle(Sequence[Random[4, coordwidth - 2], m, 1, 100]) → randomNosForY, {10, 6, 7, 9, 8, 10, 8, 5, 7, 9, 9, 5, 7, 5, 7, 8, 10, 10, 8, 7, 7, 4, 9, 9, 7, 4, 7, 10, 9, 6, 7, 4, 5, 5, 10, 9, 9, 7, 9, 9, 9, 6, 10, 7, 10, 8, 6, 10, 5, 8, 10, 7, 10, 10, 7, 6, 10, 6, 5, 5, 9, 8, 4, 5, 5, 8, 6, 8, 7, 10, 6, 4, 4, 6, 9, 9, 9, 5, 9, 7, 5, 7, 5, 9, 8, 8, 5, 9, 5, 4, 7, 9, 6, 9, 5, 8, 7, 6, 5, 7}
  4. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  5. Textfield(input1) → InputBox1
  6. Textfield(input2) → InputBox2
  7. Shuffle(Sequence[i, i, 6, 12] \ {axold}) → AxList, {6, 7, 12, 9, 11, 8, 10}
  8. Shuffle(Sequence[i, i, 1, 12] \ {ax - 2, ax - 1, ax, ax + 1, ax + 2}) → CxList, {12, 9, 3, 2, 10, 11, 1}
  9. Shuffle(Sequence[i, i, 2, abs(cx - ax)] \ {abs(cx - ax)}) → LaengeaList, {5, 3, 4, 2}
  10. Shuffle(Sequence[i, i, 1, 9] \ {ayold}) → AyList, {6, 5, 2, 7, 8, 3, 1, 4, 9}
  11. Shuffle(Sequence[i, i, 1, 12] \ {ay - 2, ay - 1, ay, ay + 1, ay + 2}) → CyList, {3, 2, 9, 12, 11, 10, 1}
  12. If(cx < ax, C + (size * (laengea, 0)), C - (size * (laengea, 0))) → B
  13. If(cx < ax, A - (size * (laengea, 0)), A + (size * (laengea, 0))) → D
  14. Polygon(C, B, A, D) → v2, j, k, l, m
  15. OrthogonalLine(D, l) → n
  16. Intersect(n, Line[C, B]) → E
  17. Segment(D, E) → p
  18. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  19. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  20. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  21. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  22. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  23. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  24. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  25. Defined(input3) → fixed
  26. Flatten(Sequence[Sequence[O + (m * (size, 0)) + (j * (0, size)), m, 0, coordwidth - 1], j, 0, coordheight - 1]) → listPoints
  27. Zip(Polygon[P, P + (0, size), P + (0, size) + (size, 0), P + (size, 0)], P, listPoints) → listCoords
  28. Segment(P1, P3) → es
  29. Random(2, numX - 2) → prop
  30. Segment(P4, P2) → fs
  31. Segment(G1, G2) → g
  32. Translate(Segment[(0, -0.1), (0, 0.1)], G1) → h
  33. Translate(Segment[(0, -0.1), (0, 0.1)], G2) → i
  34. Intersect(es, fs) → S
  35. Textfield(input3) → InputBox3
  36. Shuffle({1, 2}) → ModusList, {2, 1}
  37. If(y(C) < y(D), Midpoint[C, B], Midpoint[D, A]) → MittelpunktUnten
  38. If(x(A) > x(D), Midpoint[A, B], Midpoint[D, C]) → MittelpunktRechts
  39. Midpoint(D, B) → M
  40. Text(BeschTextb, F, false, true, 0, 0) → Text3
  41. Text(BeschTexta, G, false, true, 0, 0) → Text4
  42. If(x(E) > x(B) ∧ y(B) > y(A) ∨ x(B) < x(E) ∧ y(B) < y(A), Midpoint[p] - (0.2, 0), Midpoint[p] + (0.2, 0)) → H
  43. Text(BeschTexth, H, false, true, 0, 0) → Text8
  44. Segment(C, E) → hintCE
  45. Segment(B, E) → hintBE
  46. Angle(A, D, E) → α
  47. Angle(C, E, D) → β
  48. Angle(D, E, C) → γ
  49. Angle(E, D, A) → δ
  50. Distance(H, F) → diff
  51. If(x(A) < x(D), Midpoint[A, B], Midpoint[D, C]) → MittelpunktLinks
  52. Text(BeschTextb, I, false, true, 0, 0) → Text16

AI Drawing Prompt Reference

Draw a parallelogram on a coordinate grid with a horizontal base. Choose random vertices so the shape is not aligned with axes. From one vertex of the base, drop a perpendicular to the opposite side, marking the foot. Show the height as a dashed segment. Label the base and height lengths near the segments. Display the area formula nearby. The grid has unit squares for easy calculation. Include the parallelogram, the perpendicular, the foot, and auxiliary segments for clarity.
The prompt above was compiled from the original drawing commands and is for reference only.