MathPlotAI Logo MathPlotAI

Drawing Angles Game

Drawing Angles Game
Loading the math board and drawing, please wait…
2022-12-24 02:34
AngleGeometric ConstructionSlider AnimationGraphing
This interactive game challenges you to draw angles as accurately as possible, improving your angle sense. By drawing and measuring angles with a protractor, you'll understand that a circle measures 360 degrees. The construction utilizes GeoGebra commands like Shuffle, Angle, Circle, Segment, etc., making it suitable for 4-5 grade students learning geometric constructions.

GeoGebra Commands & Parameters

  1. Shuffle(Sequence[180]) → randomAngles, {90, 46, 167, 24, 143, 82, 179, 20, 16, 89, 44, 23, 162, 57, 125, 129, 166, 153, 164, 60, 12, 1, 63, 158, 18, 135, 168, 104, 69, 29, 10, 170, 66, 79, 132, 137, 34, 120, 68, 156, 173, 9, 169, 26, 77, 87, 39, 109, 15, 154, 96, 175, 55, 131, 62, 75, 49, 133, 32, 114, 127, 58, 50, 174, 122, 27, 97, 99, 110, 70, 151, 140, 45, 118, 53, 76, 165, 61, 123, 47, 84, 112, 115, 83, 8, 28, 117, 33, 171, 152, 35, 142, 146, 126, 48, 22, 38, 73, 111, 72, 21, 102, 7, 93, 51, 25, 180, 85, 108, 4, 81, 74, 155, 37, 103, 147, 149, 71, 31, 40, 105, 177, 14, 54, 141, 107, 172, 136, 36, 88, 157, 17, 91, 163, 101, 86, 6, 67, 148, 5, 11, 128, 52, 116, 161, 160, 56, 124, 121, 139, 100, 145, 159, 134, 113, 119, 138, 65, 94, 2, 106, 64, 59, 95, 144, 92, 78, 130, 150, 41, 176, 19, 80, 43, 13, 3, 30, 42, 178, 98}
  2. Semicircle((-4, 0), (4, 0)) → c
  3. Point(c) → MovablePoint
  4. Angle(AngEndpoint, CentAng, MovablePoint) → α
  5. Element(randomAngles, Mod[questionCount, Length[randomAngles]] + 1) → randomAngle
  6. Corner(5) → AppSize
  7. Circle(CentAng, 3.5) → d
  8. Circle(CentAng, 4.5) → e
  9. Segment(CentAng, AnimP) → animSeg
  10. Angle(AngEndpoint, CentAng, AnimP) → β
  11. Sector(e, Max[angRad - Rad5, 0], Min[angRad + Rad5, pi]) → f
  12. Translate((0, 0), Vector[If[β ≤ 30°, Vector[(0.5 * (cos((2 * angRad)), sin((2 * angRad))))], Vector[(1.1 * (cos(angRad / 3), sin(angRad / 3)))]]]) → PosLabelCorrectA
  13. Text((("\textsf{" * β) * "}"), PosLabelCorrectA, true, true, 0, 1) → labelCorrectAng
  14. Translate((0, 0), Vector[If[α ≤ 30°, Vector[(2 * (cos((2 * α)), sin((2 * α))))], Vector[(1.5 * (cos(α / 2), sin(α / 2)))]]]) → PosLabelAlfa
  15. Text((("\textsf{" * α) * "}"), PosLabelAlfa, true, true, 1, 1) → labelStudAng
  16. Dilate(MovablePoint, 1.3) → AnimP'
  17. If(perfect, 5, If[moreCorrect, 3, If[correct, 1, 0]]) → PointsToAdd
  18. Sector(e, angRad + (3 * Rad5), pi) → p
  19. Vector(AnimP', Target) → vec
  20. Sector(e, Max[angRad - (3 * Rad5), 0], Min[angRad - Rad5, pi]) → g
  21. Sector(e, Max[angRad + Rad5, 0], Min[angRad + (3 * Rad5), pi]) → h
  22. Sector(e, 0, angRad - (3 * Rad5)) → k
  23. Text(((("\textsf{+" * PointsToAdd) * If[perfect, " Perfect!", ""]) * "}"), AnimP' + (vec * wait^(2)), true, true, 0, 0) → textPlus1
  24. Last(histCorrect, Min[Length[histCorrect], 3]) → histCorrectLast3
  25. If(Length[histCorrect] ≟ 0, {}, Last[histCorrect, Min[5, Length[histCorrect]]]) → histCorrectLast5
  26. Sequence(Rotate[(4, 0), ii], ii, 0, 180°, If[hint2, 45°, 90°]) → pointsHint1
  27. Sequence(Rotate[(4.3, 0), ii], ii, 0, 180°, If[hint2, 45°, 90°]) → pointsHint2
  28. Zip(Dilate[AA, 1.15], AA, pointsHint1) → PointsHintLabels
  29. Sequence(Text[ii], ii, 0, 180, If[hint2, 45, 90]) → hintLabels
  30. Zip(Segment[AA, BB], AA, pointsHint1, BB, pointsHint2) → hintSegments
  31. Zip(Text[(tt * "°"), AA, true, true, 0, 1], AA, PointsHintLabels, tt, hintLabels) → hintlabelsPositioned
  32. CountIf(x ≟ false, histCorrectLast3) → falseIn3
  33. CountIf(x ≟ false, histCorrectLast5) → falseIn5
  34. Semicircle((-4.5, 0), (4.5, 0)) → graySemicircle
  35. Segment(CentAng, Dilate[AngEndpoint, 1.15]) → FixedSegment
  36. Segment(CentAng, Dilate[MovablePoint, 1.15]) → MovableSegment
  37. onboardingTextOffset(Corner[onboardingText_{1}, 1], Corner[onboardingText_{1}, 3], onboardingCase_{1}, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset_{1}
  38. circlePixels(MovablePoint, 7 + (7 * pulsing), Corner[1], Corner[3], Corner[5]) → pulsingObject

AI Drawing Prompt Reference

This is a geometry construction game interface. The center features a semicircle from (-4,0) to (4,0) with its center marked as a movable point. Two concentric circles are drawn with radii 3.5 and 4.5 around the center. Two angles, alpha and beta, are displayed with text labels. Multiple sector shapes are included to represent different angle options. There are also hint labels, statistics, and decorative elements, forming an interactive angle measurement exercise interface.
The prompt above was compiled from the original drawing commands and is for reference only.