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Drawing Angles: Hot and Cold Activity

Drawing Angles: Hot and Cold Activity
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2022-12-27 02:07
AngleGeometric ConstructionSlider Animation
This example uses hot and cold hints to help students understand angle measurement. Using GeoGebra commands such as dynamic coordinates and angle measurement, students can draw and measure angles, understanding that a circle measures 360 degrees. Suitable for 4-5 grade students for geometry construction and measurement practice.

GeoGebra Commands & Parameters

  1. Shuffle(Sequence[5, 175]) → randomAngles, {24, 52, 42, 110, 94, 121, 105, 100, 61, 150, 118, 49, 35, 79, 156, 173, 135, 18, 126, 115, 48, 155, 33, 143, 136, 104, 107, 83, 8, 97, 122, 60, 74, 165, 159, 34, 6, 86, 170, 91, 169, 14, 149, 112, 146, 137, 72, 95, 144, 154, 69, 46, 151, 81, 20, 139, 152, 103, 82, 96, 70, 87, 26, 77, 113, 11, 53, 147, 127, 141, 99, 162, 140, 148, 27, 109, 44, 7, 13, 12, 19, 123, 142, 78, 164, 73, 68, 130, 15, 90, 93, 85, 75, 47, 30, 9, 45, 66, 31, 71, 125, 98, 138, 171, 21, 132, 92, 108, 16, 43, 174, 58, 172, 23, 67, 63, 56, 76, 65, 88, 160, 39, 54, 50, 129, 64, 37, 116, 36, 163, 153, 120, 168, 28, 101, 10, 166, 158, 25, 17, 41, 114, 89, 175, 145, 84, 119, 167, 161, 124, 106, 40, 134, 128, 55, 51, 131, 38, 117, 157, 102, 111, 62, 59, 32, 57, 5, 22, 80, 29, 133}
  2. Element(randomAngles, Mod[questionCount, Length[randomAngles]] + 1) → angleToMeasure
  3. Shuffle(Sequence[pi / 15, (2 * pi) - pi / 15, pi / 15]) → randomFixedEndPoints, {0.41887902047863906, 3.351032163829112, 3.1415926535897927, 4.817108735504349, 5.235987755982989, 0.6283185307179586, 1.2566370614359172, 0.8377580409572781, 4.607669225265029, 5.026548245743669, 2.722713633111154, 1.884955592153876, 3.5604716740684315, 5.6548667764616285, 0.20943951023931953, 1.4660765716752369, 1.6755160819145565, 3.9793506945470702, 1.0471975511965976, 3.769911184307751, 2.303834612632515, 5.445427266222309, 2.0943951023931957, 6.073745796940268, 5.864306286700948, 2.9321531433504733, 4.18879020478639, 2.5132741228718345, 4.3982297150257095}
  4. Flatten({Sequence[0, ii, 1, 5], randomFixedEndPoints}) → AnglesFixedEndPoint
  5. Element(AnglesFixedEndPoint, Mod[questionCount, Length[AnglesFixedEndPoint]] + 1) → angleFixedEndPoint
  6. Segment(Cent, Dilate[FixedEndPoint, 1.1]) → seg1
  7. Circle(Cent, 4) → CircMovablePoint
  8. Point(CircMovablePoint) → MovableEndPoint
  9. DynamicCoordinates(MovableEndPoint, x(MovableEndPoint), y(MovableEndPoint)) → MovablePointDyn
  10. Segment(Cent, Dilate[MovablePointDyn, 1.1]) → seg2
  11. Angle(seg1, seg2) → α
  12. If(dif ≤ 1°, 4, If[dif ≤ 10°, 3, If[dif ≤ 30°, 2, 1]]) → colorCase
  13. Dilate(MovablePointDyn, 4.2 / 4) → C
  14. Circle(Cent, 4.2) → CircHint
  15. Angle(Vector[(1, 0)], Vector[MovablePointDyn]) → α2
  16. Rotate(ProtImg, 180°) → ProtImg2
  17. Corner(5) → AppSize
  18. Circle(ProtractorCenter_{1}, ProtractorRadius_{1}) → ProtractorCircle_{1}
  19. Mirror(ProtractorRight_{1}, Cent) → ProtractorLeft_{1}
  20. Line(ProtractorLeft_{1}, ProtractorRight_{1}) → ProtractorLine_{1}
  21. Rotate(ProtractorRight_{1}, -90°, ProtractorLeft_{1}) → ProtractorRightDyn'_{1}
  22. Ray(ProtractorLeft_{1}, ProtractorRightDyn'_{1}) → ProtractorPerpendicular_{1}
  23. Intersect(Circle[ProtractorLeft_{1}, (ProtractorDist_{1} * ProtractorRadius_{1})], ProtractorPerpendicular_{1}) → ProtractorCorner1_{1},
  24. Midpoint(Corner[ProtImg, 4], Corner[ProtImg, 3]) → A
  25. If(correct, "\hspace{15}✓ Correct!\hspace{15}", "✘ Try Again") → text1
  26. Translate(ProtractorRight_{1}, Vector[ProtractorLeft_{1}, ProtractorCorner1_{1}]) → ProtractorCorner2_{1}
  27. Midpoint(Corner[ProtImg2, 4], Corner[ProtImg2, 3]) → B
  28. Rotate(C, (-10° * If[requestedAngle ≤ α, 1, -1])) → E
  29. Rotate(C, (-5° * If[requestedAngle ≤ α, 1, -1])) → D
  30. Vector(D, E) → u
  31. Rotate(C, (5° * If[requestedAngle ≤ α, 1, -1])) → D'
  32. Rotate(C, (10° * If[requestedAngle ≤ α, 1, -1])) → E'
  33. Arc(CircHint, If[requestedAngle ≥ α, C, E], If[requestedAngle ≥ α, E, C]) → HintArc
  34. Mirror(HintArc, Line[MovablePointDyn, Cent]) → HintArc'
  35. Vector(D', E') → v
  36. Text(text3, C, true, true, If[x(C) ≥ 0, 1, -1], If[y(C) ≥ 3.5, -1, 0]) → text4
  37. Dilate(MovablePointDyn, 1.1) → MovablePointDyn'
  38. If(altPoint, Translate[(0, 0), Vector[((4 * 1.1) * (cos(130°), sin(130°)))]], MovablePointDyn') → PointFeedback
  39. Text(textCold, PointFeedback, true, true, If[x(MovablePointDyn) > 0, 1, -1], 0) → textColdPos
  40. onboardingTextOffset(Corner[onboardingText_{2}, 1], Corner[onboardingText_{2}, 3], onboardingCase_{1}, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset_{1}
  41. circlePixels(MovablePointDyn, 7 + (7 * pulsing), Corner[1], Corner[3], Corner[5]) → pulsingobject

AI Drawing Prompt Reference

This is a geometry activity to help students understand angle measurement. The drawing includes a movable endpoint, a fixed endpoint, and a scalable ruler. Students can draw a line segment and measure the angle formed with the ruler, understanding that a circle is 360 degrees. The construction order is: first, randomly generate a set of angles and select one as the target angle; then, create a fixed endpoint and corresponding fixed line segment; next, create a movable endpoint and draw a scalable ruler; measure the angle, then draw a protractor and connect it to the movable endpoint; finally, compare the actual angle with the target angle to determine correctness. The process emphasizes dynamic construction and angle comparison, suitable for 4-5 grade students practicing geometry construction and measurement.
The prompt above was compiled from the original drawing commands and is for reference only.