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Squirrel's Acorn Stash: One Side of a Linear Equation

Squirrel's Acorn Stash: One Side of a Linear Equation
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2015-10-31 12:44
Coordinate Geometry
This example uses digital algebra tiles to help students find a part of one solution to a linear equation problem. It demonstrates how to solve linear equation problems using algebra tiles, involving core math concepts such as linear equations and algebra. The construction summary uses GeoGebra commands like Intersect, Point, Polygon, Vector, Translate, Sequence, and Segment. Suitable for middle school math education.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → D
  4. Polygon(A, B, C, D) → poly1, a, b, c, d
  5. Point(yAxis) → E
  6. Vector(E, F) → u
  7. Translate(A, u) → A'
  8. Translate(B, u) → B'
  9. Translate(C, u) → C'
  10. Translate(D, u) → D'
  11. Polygon(A', B', C', D') → poly1', a', b', c', d'
  12. Translate(A', u) → A''
  13. Translate(B', u) → B''
  14. Translate(C', u) → C''
  15. Translate(D', u) → D''
  16. Polygon(A'', B'', C'', D'') → poly1'', a'', b'', c'', d''
  17. Translate(A'', u) → A'''
  18. Translate(B'', u) → B'''
  19. Translate(C'', u) → C'''
  20. Translate(D'', u) → D'''
  21. Polygon(A''', B''', C''', D''') → poly1''', a''', b''', c''', d'''
  22. Translate(A''', v) → G
  23. Translate(B''', v) → H
  24. Translate(C''', v) → I
  25. Translate(D''', v) → J
  26. Translate(A''', u) → K
  27. Translate(B''', u) → L
  28. Translate(C''', u) → M
  29. Translate(D''', u) → N
  30. Polygon(K, L, M, N) → poly2, k, l, m, n
  31. Sequence(Polygon[(0, (-i)), (-1, (-i)), (-1, (-i) + 4), (0, (-i) + 4)], i, 4, (4 * num2), 4) → list2
  32. Sequence(Polygon[(0, ((-4) * num2) - j), (0, ((-4) * num2) - (j - 1)), 4], j, 1, con2, 1) → list3
  33. Sequence(Polygon[((4 * num) + j - 1, 0), ((4 * num) + j, 0), 4], j, 1, con1, 1) → list4
  34. Sequence(Sequence[Polygon[((4 * (n - 1)), ((-4) * m)), ((4 * n), ((-4) * m)), 4], m, 1, num2], n, 1, num) → list1
  35. Segment(P, Q) → e
  36. Segment(R, S) → f
  37. Sequence(Sequence[Polygon[((4 * i), ((-4) * num2) - j), ((4 * i), ((-4) * num2) - j + 1), ((4 * (i - 1)), ((-4) * num2) - j + 1), ((4 * (i - 1)), ((-4) * num2) - j)], j, 1, con2], i, 1, num) → list6
  38. Sequence(Sequence[Polygon[((4 * num) + j - 1, ((-4) * (i - 1))), ((4 * num) + j, ((-4) * (i - 1))), ((4 * num) + j, ((-4) * i)), ((4 * num) + j - 1, ((-4) * i))], j, 1, con1], i, 1, num2) → list7
  39. Sequence(Sequence[Polygon[((4 * num) + j - 1, ((-4) * num2) - i), ((4 * num) + j, ((-4) * num2) - i), 4], j, 1, con1], i, 1, con2) → list5
  40. Polygon(T, U, V, W) → poly3, t, u_1, v_1, w
  41. Polygon(Z, A_1, B_1, C_1) → poly4, z, a_1, b_1, c_1
  42. Polygon(D_1, E_1, F_1, G_1) → poly5, d_1, e_1, f_1, g_1
  43. Polygon(H_1, I_1, J_1, K_1) → poly6, h_1, i_1, j_1, k_1