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Racing Bears: Escape Race (Addition and Subtraction)

Racing Bears: Escape Race (Addition and Subtraction)
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2020-11-25 03:54
Coordinate GeometryGeometric Construction
This example uses a bear race game scenario to demonstrate addition and subtraction. It involves core math concepts such as addition and subtraction. Using GeoGebra commands like Point, Element, Sequence, etc., it constructs a dynamic environment for practicing and understanding addition and subtraction. Suitable for high-grade elementary or low-grade middle school students.

GeoGebra Commands & Parameters

  1. Point({-5, 2}) → numberLineStarter1
  2. Element({{Polygon[numberLineStarter1 + ((9.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter1 + ((11.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter1 + ((11.5 * spacer), ((1.5 * boxHeight) * spacer)), numberLineStarter1 + ((9.5 * spacer), ((1.5 * boxHeight) * spacer))]}, {Polygon[numberLineStarter1 + ((0.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter1 + ((-1.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter1 + ((-1.5 * spacer), ((1.5 * boxHeight) * spacer)), numberLineStarter1 + ((0.5 * spacer), ((1.5 * boxHeight) * spacer))]}, {Polygon[numberLineStarter1 + ((9.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter1 + ((11.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter1 + ((11.5 * spacer), ((1.5 * boxHeight) * spacer)), numberLineStarter1 + ((9.5 * spacer), ((1.5 * boxHeight) * spacer))], Polygon[numberLineStarter1 + ((0.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter1 + ((-1.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter1 + ((-1.5 * spacer), ((1.5 * boxHeight) * spacer)), numberLineStarter1 + ((0.5 * spacer), ((1.5 * boxHeight) * spacer))]}}, gameSelector) → winZone1
  3. Sequence(numberLineStarter1 + ((i * spacer), 0), i, -1 + (gameSelector ≟ 1), 11 - (gameSelector ≟ 2)) → numberLine1DotsMove
  4. Point(numberLine1DotsMove) → playerPoint
  5. Sequence((-5.2 + ((3 * i) * spacer), -1), i, 0, 3) → bearAnchors
  6. Element({0, 10, 5}, gameSelector) → start
  7. Element({10, 0}, gameSelector) → end
  8. Point({0, 0}) → spinnerCenter
  9. Sequence(Sector[Circle[spinnerCenter, spinnerRadius], ((spinnerRadius * cos((i * π / 3))), (spinnerRadius * sin((i * π / 3)))), ((spinnerRadius * cos(((i + 1) * π / 3))), (spinnerRadius * sin(((i + 1) * π / 3))))], i, 0, 5) → spinnerSections
  10. Angle(spinner) → currentAngle
  11. If(currentAngle ≤ π / 3, 1, If[currentAngle ≤ (2 * π / 3), 2, If[currentAngle ≤ π, 3, If[currentAngle ≤ (4 * π / 3), 4, If[currentAngle ≤ (5 * π / 3), 5, 6]]]]) → spinnerLocation
  12. Element(spinnerSections, spinnerLocation) → highlighted
  13. Element({{"+0", "+1", "+2", "+0", "+1", "+2"}, {"-0", "-1", "-2", "-0", "-1", "-2"}, {"+0", "+1", "+2", "-0", "-1", "-2"}}, gameSelector) → spinnerDisplayValues
  14. Sequence(Text[Element[spinnerDisplayValues, i], TextAdjuster + (((spinnerRadius * 0.7) * cos(π / 6 + ((i - 1) * π / 3))), ((spinnerRadius * 0.7) * sin(π / 6 + ((i - 1) * π / 3))))], i, 1, 6) → spinnerText
  15. Sequence(Segment[spinnerCenter, spinnerCenter + ((spinnerRadius * cos((i * π / 3))), (spinnerRadius * sin((i * π / 3))))], i, 0, 5) → lines
  16. Segment(numberLineStarter1, numberLineStarter1 + ((10 * spacer), 0)) → numberLine1
  17. Sequence(numberLineStarter1 + ((i * spacer), 0), i, 0, 10) → numberLine1DotsShown
  18. Point({-5, -2.5}) → numberLineStarter2
  19. Segment(numberLineStarter2, numberLineStarter2 + ((10 * spacer), 0)) → numberLine2
  20. Sequence(numberLineStarter2 + ((i * spacer), 0), i, -1 + (gameSelector ≟ 1), 11 - (gameSelector ≟ 2)) → numberLine2DotsMove
  21. Sequence(numberLineStarter2 + ((i * spacer), 0), i, 0, 10) → numberLine2DotsShown
  22. Sequence(Text[i, numberLineStarter1 + ((i * spacer), 0) + numberLineTextAdjuster], i, 0, 10) → numberLine1Text
  23. Sequence(Text[i, numberLineStarter2 + ((i * spacer), 0) + numberLineTextAdjuster], i, 0, 10) → numberLine2Text
  24. Element({{Polygon[numberLineStarter2 + ((9.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter2 + ((11.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter2 + ((11.5 * spacer), ((1.5 * boxHeight) * spacer)), numberLineStarter2 + ((9.5 * spacer), ((1.5 * boxHeight) * spacer))]}, {Polygon[numberLineStarter2 + ((0.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter2 + ((-1.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter2 + ((-1.5 * spacer), ((1.5 * boxHeight) * spacer)), numberLineStarter2 + ((0.5 * spacer), ((1.5 * boxHeight) * spacer))]}, {Polygon[numberLineStarter2 + ((9.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter2 + ((11.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter2 + ((11.5 * spacer), ((1.5 * boxHeight) * spacer)), numberLineStarter2 + ((9.5 * spacer), ((1.5 * boxHeight) * spacer))], Polygon[numberLineStarter2 + ((0.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter2 + ((-1.5 * spacer), ((-boxHeight) * spacer)), numberLineStarter2 + ((-1.5 * spacer), ((1.5 * boxHeight) * spacer)), numberLineStarter2 + ((0.5 * spacer), ((1.5 * boxHeight) * spacer))]}}, gameSelector) → winZone2
  25. Point({x(numberLineStarter2) + (((computerOldScore * (1 - bearMove)) + (computerNewScore * bearMove)) * spacer), y(numberLineStarter2)}) → computerPoint
  26. TableText({"Right:", rightAnswers}, {"Wrong:", wrongAnswers}) → text8
  27. Element({{0, 1, 2, 0, 1, 2}, {0, -1, -2, 0, -1, -2}, {0, 1, 2, 0, -1, -2}}, gameSelector) → spinnerValues

AI Drawing Prompt Reference

Draw a math game scene themed around a racing competition. There are two parallel horizontal number lines, each marked with tick points from 0 to 10 and labeled with numbers. At each end of the number lines, there is a colored rectangular zone as a finish area. On each number line, there is a movable dot representing a player, and below each line, a small bear icon as an opponent. In the center of the scene, there is a circular spinner divided into six equal sectors, each labeled with an addition or subtraction operation and a number (e.g., +0, +1, +2). A pointer is attached to the spinner center. Next to the spinner, there is a score table showing counts of correct and wrong answers. The overall layout is clear and suitable for educational demonstration.
The prompt above was compiled from the original drawing commands and is for reference only.