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Space Invasion Game: Integer Multiplication

Space Invasion Game: Integer Multiplication
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2017-12-13 05:44
FunctionCoordinate GeometryGeometric ConstructionSlider AnimationGraphing
This example demonstrates integer multiplication through a space invasion game. Core math concepts include integer multiplication and coordinate geometry. Construction highlights involve GeoGebra commands/objects like Sequence, Shuffle, Segment, Point, Line, Join, Centroid, OrthogonalLine, Intersect, LineBisector, Circle, If, and Polygon. Suitable for middle school mathematics teaching to practice integer multiplication in a fun, interactive way.

GeoGebra Commands & Parameters

  1. Sequence(Random[-10, 10], j, 1, 6, 1) → A3drugiFakt
  2. Shuffle(Sequence[j, j, -10, 10, 1]) → A1sviPrviFakt
  3. Sequence(Element[A1sviPrviFakt, j], j, 1, 6, 1) → A2odabrPrviFakt
  4. Segment(A', B') → f
  5. Point(f) → A_1
  6. Segment((5.2, 3.6), (5.2, -3.6)) → h
  7. Point(h) → C
  8. Line(C, xAxis) → g
  9. Point(g) → D
  10. Point(g) → E
  11. Point(g) → F
  12. Point(g) → G
  13. Point(g) → H
  14. Point(g) → I
  15. Point(g) → J
  16. Point(g) → K
  17. Point(g) → L
  18. Point(g) → M
  19. Point(g) → N
  20. Point(g) → O
  21. Join({A2odabrPrviFakt, A3drugiFakt}) → listaBrojeva
  22. Centroid(Polygon[A_1, B_1, B'_1, A'_1]) → P
  23. OrthogonalLine(P, xAxis) → j
  24. Line(B''_1, xAxis) → i
  25. Intersect(i, j) → Q
  26. LineBisector(C, C') → k
  27. Line(Q, yAxis) → l
  28. Intersect(k, l) → R
  29. Circle(R, 0.25) → c
  30. Intersect(c, j) → S, T
  31. Intersect(c, k) → U, V
  32. Segment(S, T) → m
  33. Segment(U, V) → n
  34. Segment(S, Q) → p
  35. If(x(D) < x(R) < x(E), true, false) → uPodručju1
  36. If(x(H) < x(R) < x(I), true, false) → uPodručju3
  37. If(x(J) < x(R) < x(K), true, false) → uPodručju4
  38. If(x(L) < x(R) < x(M), true, false) → uPodručju5
  39. If(x(N) < x(R) < x(O), true, false) → uPodručju6
  40. If(x(F) < x(R) < x(G), true, false) → uPodručju2
  41. If(uPodručju1, tekstRjeZad1, If[uPodručju2, tekstRjeZad2, If[uPodručju3, tekstRjeZad3, If[uPodručju4, tekstRjeZad4, If[uPodručju5, tekstRjeZad5, If[uPodručju6, tekstRjeZad6, "izvan"]]]]]) → naciljanBrojTxt
  42. Shuffle({1, 2, 3, 4, 5, 6}) → indeksiZadaciShuffle
  43. If(Text[Object["rjeZad" + (Element[indeksiZadaciShuffle, redniBrZad])]] ≟ naciljanBrojTxt, true, false) → tocnoPogodjeno
  44. Segment(Q, R) → q
  45. Point(q) → Projektil
  46. If(uPodručju1, 1, If[uPodručju2, 2, If[uPodručju3, 3, If[uPodručju4, 4, If[uPodručju5, 5, If[uPodručju6, 6, 0]]]]]) → gdjeJeProjektil
  47. If(y(C) ≟ -3.6, true, false) → krajIgre
  48. If(x(D) < x(S) < x(E) ∧ vidljivoPodručje1 ∨ x(F) < x(S) < x(G) ∧ vidljivoPodručje2 ∨ x(H) < x(S) < x(I) ∧ vidljivoPodručje3 ∨ x(J) < x(S) < x(K) ∧ vidljivoPodručje4 ∨ x(L) < x(S) < x(M) ∧ vidljivoPodručje5 ∨ x(N) < x(S) < x(O) ∧ vidljivoPodručje6, true, false) → JeLiNaciljanBrod
  49. Polygon(A, B, (x(B), 5.3), (x(A), 5.3)) → okvir, r, s, t, a