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Pedro's String Problem

Pedro's String Problem
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2016-03-24 01:25
Coordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates a word problem about Pedro cutting and sharing a piece of string, using a tape diagram as a visual aid. It involves concepts like addition, division, fractions, and ratios. The construction summary utilizes GeoGebra commands and objects such as Segment, Textfield, Polygon, Point, Sequence, Object, and Defined to create and display the tape diagram and interactive elements. Suitable for elementary or middle school mathematics education, focusing on basic arithmetic and geometric visualization.

GeoGebra Commands & Parameters

  1. Segment(AReference + (10 / a, 0), AReference + (10 / a, -3)) → diagBMasterPole
  2. Textfield(answer) → ansField
  3. Polygon(AReference, AReference + (10, 0), AReference + (10, height), AReference + (0, height)) → diagAbox, diagBoxAbot, diagBoxAr, diagBoxAtop, diagBoxAl
  4. Segment(AReference + (10 / a, 0), AReference + (10 / a, height)) → diagAline
  5. Point(diagBMasterPole) → BReference
  6. Polygon(BReference, BReference + (10 - 10 / a, 0), BReference + (10 - 10 / a, height), BReference + (0, height)) → diagBbox, diagBoxBbot, diagBoxBr, diagBoxBtop, diagBoxBL
  7. Segment(BReference + (0, height), AReference + (10 / a, 0)) → diagDotABL
  8. Segment(BReference + (10 - 10 / a, height), AReference + (10, 0)) → diagDotABR
  9. Segment(BReference + ((10 - 10 / a) / b, y(AReference) - y(BReference)), BReference + ((10 - 10 / a) / b, -3)) → diagCMasterPole
  10. Point(diagCMasterPole) → CReference
  11. Polygon(CReference, (x(AReference) + 10, y(CReference)), (x(AReference) + 10, y(CReference) + height), CReference + (0, height)) → diagCbox, diagBoxCbot, diagBoxCr, diagBoxCtop, diagBoxCl
  12. Segment(BReference + ((10 - 10 / a) / b, 0), BReference + ((10 - 10 / a) / b, height)) → diagBline
  13. Polygon(AReference, AReference + (10 / a, 0), AReference + (10 / a, height), AReference + (0, height)) → diagAgiven, amaster, k, m, n
  14. Polygon(BReference, BReference + ((10 - 10 / a) / b, 0), BReference + ((10 - 10 / a) / b, height), BReference + (0, height)) → diagBgiven, bmaster, p, q, r
  15. Sequence(Segment[AReference + (k, 0), AReference + (k, height)], k, 0, x(AReference) + 9.9, 10 / a) → diagAdiv
  16. Sequence(Segment[BReference + (k, 0), BReference + (k, height)], k, 0, x(AReference) + 9.9, (10 - 10 / a) / b) → diagBdiv
  17. Polygon(AReference + (10, -20), AReference + (20, -20), AReference + (20, 20), AReference + (10, 20)) → whiteCoverRt, l, s, t, a_1
  18. Segment(CReference + (0, height), (x(CReference), y(BReference))) → diagDotBCL
  19. Segment((x(AReference) + 10, y(CReference) + height), (x(AReference) + 10, y(BReference))) → diagDotBCR
  20. Textfield(a) → aField
  21. Textfield(b) → bField
  22. Textfield(c) → cField
  23. Polygon(fbPedroSpeechBubblePt + (-6.26, -0.15), fbPedroSpeechBubblePt + (-5, 0.95), fbPedroSpeechBubblePt + (-3.6, 0.95), fbPedroSpeechBubblePt + (-5.5, 0.95), fbPedroSpeechBubblePt + (-6.2, 1.3), fbPedroSpeechBubblePt + (-6.2, 3.5), fbPedroSpeechBubblePt + (-5.5, 3.85), fbPedroSpeechBubblePt + (-0.25, 3.85), fbPedroSpeechBubblePt + (0.5, 3.5), fbPedroSpeechBubblePt + (0.5, 1.3), fbPedroSpeechBubblePt + (-0.25, 0.95)) → fbPedroSpeechBubble, fbPedroSpeechBubbleSeg_3, fbPedroSpeechBubbleSeg_4, fbPedroSpeechBubbleSeg_6, fbPedroSpeechBubbleSeg_5, fbPedroSpeechBubbleSeg_7, fbPedroSpeechBubbleSeg_8, fbPedroSpeechBubbleSeg_9, fbPedroSpeechBubbleSeg_{10}, fbPedroSpeechBubbleSeg, fbPedroSpeechBubbleSeg_1, fbPedroSpeechBubbleSeg_2
  24. Object("stroke1") → fakeStroke
  25. Defined(fakeStroke) → strokeExists
  26. Object("text1") → fakeText
  27. Defined(fakeText) → textExists