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Perimeter of Irregular Shapes (P4 Q2)

Perimeter of Irregular Shapes (P4 Q2)
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2018-12-06 15:55
PolygonInequalityGeometric Construction
In collections P4 4M1 Perimeter 周界
① This GeoGebra example presents an irregular composite shape made of multiple polygons, aimed at practicing perimeter calculation for Primary 4 (P4) students. ② The core mathematical concept is the definition and computation of perimeter, focusing on identifying the outer boundary of an irregular figure, summing the lengths of its sides, and understanding how polygon edges connect. ③ Construction details: Based on the construction summary, the example uses GeoGebra's 'Segment' and 'Polygon' commands, creating numerous polygon objects (e.g., VPoly1Ma through VPoly1Ff) and many auxiliary line segments (e.g., Blue01a, Red01a) color-coded in blue and red to visually separate different parts of the shape, facilitating measurement and observation. ④ This resource is ideal for upper primary students (ages 9-10) as a hands-on exercise to reinforce perimeter concepts, and can also serve as a teacher demonstration tool or for student self-study, allowing interactive exploration by dragging vertices or measuring side lengths to verify calculations.

GeoGebra Commands & Parameters

  1. Segment(Blue01a, Blue01b) → Blue01
  2. Segment(Blue02a, Blue02b) → Blue02
  3. Segment(Blue03a, Blue03b) → Blue03
  4. Segment(Blue04a, Blue04b) → Blue04
  5. Segment(Red01a, Red01b) → Red01
  6. Segment(Red02a, Red02b) → Red02
  7. Segment(Red03a, Red03b) → Red03
  8. Segment(Red04a, Red04b) → Red04
  9. Segment(Blue05a, Blue05b) → Blue05
  10. Segment(Red05a, Red05b) → Red05
  11. Segment(Blue06a, Blue06b) → Blue06
  12. Segment(Red06a, Red06b) → Red06
  13. Segment(Blue07a, Blue07b) → Blue07
  14. Segment(Blue08a, Blue08b) → Blue08
  15. Segment(Blue09a, Blue09b) → Blue09
  16. Segment(Blue10a, Blue10b) → Blue10
  17. Segment(Blue11a, Blue11b) → Blue11
  18. Segment(Blue12a, Blue12b) → Blue12
  19. Segment(Red07a, Red07b) → Red07
  20. Segment(Red08a, Red08b) → Red08
  21. Segment(Red09a, Red09b) → Red09
  22. Segment(Red10a, Red10b) → Red10
  23. Segment(Red11a, Red11b) → Red11
  24. Segment(Red12a, Red12b) → Red12
  25. Segment(Green01a, Green01b) → Green01
  26. Segment(Green02a, Green02b) → Green02
  27. Segment(Green03a, Green03b) → Green03
  28. Segment(Green04a, Green04b) → Green04
  29. Segment(Green05a, Green05b) → Green05
  30. Segment(Green06a, Green06b) → Green06
  31. Segment(Green07a, Green07b) → Green07
  32. Segment(Green08a, Green08b) → Green08
  33. Segment(Green09a, Green09b) → Green09
  34. Segment(Green10a, Green10b) → Green10
  35. Segment(Green11a, Green11b) → Green11
  36. Segment(Green12a, Green12b) → Green12
  37. Segment(Green13a, Green13b) → Green13
  38. Segment(Green14a, Green14b) → Green14
  39. Polygon(VPoly2Fa, VPoly2Fb, VPoly2Fc, VPoly2Fd) → Poly2F, SPoly2Fa, SPoly2Fb, SPoly2Fc, SPoly2Fd
  40. Polygon(VPoly2Ma, VPoly2Mb, VPoly2Mc, VPoly2Md) → Poly2M, SPoly2Ma, SPoly2Mb, SPoly2Mc, SPoly2Md
  41. Polygon(VPoly1Fa, VPoly1Fb, VPoly1Fc, VPoly1Fd, VPoly1Fe, VPoly1Ff, VPoly1Fg, VPoly1Fh) → Poly1F, SPoly1Fa, SPoly1Fb, SPoly1Fc, SPoly1Fd, SPoly1Fe, SPoly1Ff, SPoly1Fg, SPoly1Fh
  42. Polygon(VPoly1Ma, VPoly1Mb, VPoly1Mc, VPoly1Md, VPoly1Me, VPoly1Mf, VPoly1Mg, VPoly1Mh) → Poly1M, SPoly1Ma, SPoly1Mb, SPoly1Mc, SPoly1Md, SPoly1Me, SPoly1Mf, SPoly1Mg, SPoly1Mh
  43. Segment(A, B) → L8
  44. Segment(C, D) → L1
  45. Segment(E, F) → L2
  46. Segment(G, H) → L4
  47. Segment(I, J) → L5
  48. Segment(K, L) → L6
  49. Segment(M, N) → L3
  50. Segment(O, P) → L7
  51. Segment(Q, R) → f
  52. Segment(S, T) → R2
  53. Segment(U, V) → R3
  54. Segment(W, Z) → R4