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1-step Equations with Fractions

1-step Equations with Fractions
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2017-11-01 01:15
This example demonstrates solving one-step equations with fractions using GeoGebra. Key math concepts include equations and fractions. Commands used include RandomElement, Denominator, LCM, Solve, etc. Suitable for middle school math education to help students understand equation solving.

GeoGebra Commands & Parameters

  1. RandomElement(L_1) → e
  2. RandomElement(L_1) → d
  3. Denominator(f) → u
  4. RandomElement(L_1) → b
  5. RandomElement(L_1) → a
  6. Denominator(c) → o
  7. LCM(o, u) → g
  8. Solve(h) → L_2
  9. Circle(A, 2.5) → k
  10. Circle(E, 2.5) → s
  11. Circle(D, 2.5) → r
  12. Circle(B, 2.5) → p
  13. Circle(C, 2.5) → q
  14. Circle(F, 2.5) → t
  15. Circle(I, 2.5) → e_1
  16. Circle(J, 2.5) → f_1
  17. Circle(H, 2.5) → d_1
  18. Circle(G, 2.5) → c_1
  19. OrthogonalLine(A, xAxis) → i
  20. OrthogonalLine(E, xAxis) → j
  21. OrthogonalLine(D, xAxis) → l
  22. OrthogonalLine(B, xAxis) → m
  23. OrthogonalLine(C, xAxis) → n
  24. OrthogonalLine(F, xAxis) → g_1
  25. OrthogonalLine(I, xAxis) → h_1
  26. OrthogonalLine(J, xAxis) → i_1
  27. OrthogonalLine(H, xAxis) → j_1
  28. OrthogonalLine(G, xAxis) → k_1
  29. Intersect(k, i, 2) → K
  30. Intersect(s, j, 2) → L
  31. Intersect(r, l, 2) → M
  32. Intersect(p, m, 2) → N
  33. Intersect(q, n, 2) → O
  34. Intersect(t, g_1, 2) → P
  35. Intersect(e_1, h_1, 2) → Q
  36. Intersect(f_1, i_1, 2) → R
  37. Intersect(d_1, j_1, 2) → S
  38. Intersect(c_1, k_1, 2) → T
  39. Sequence(Rotate[K, (-((360° * i / g))), A], i, 1, g) → L_3
  40. Sequence(Rotate[K, (-((360° * i / o))), A], i, 1, o) → L_4
  41. Sequence(Rotate[L, (-((360° * i / g))), E], i, 1, g) → L_5
  42. Sequence(Rotate[L, (-((360° * i / o))), E], i, 1, o) → L_6
  43. Sequence(Rotate[M, (-((360° * i / g))), D], i, 1, g) → L_7
  44. Sequence(Rotate[M, (-((360° * i / o))), D], i, 1, o) → L_8
  45. Sequence(Rotate[N, (-((360° * i / g))), B], i, 1, g) → L_9
  46. Sequence(Rotate[N, (-((360° * i / o))), B], i, 1, o) → L_{10}
  47. Sequence(Rotate[O, (-((360° * i / g))), C], i, 1, g) → L_{11}
  48. Sequence(Rotate[O, (-((360° * i / o))), C], i, 1, o) → L_{12}
  49. Sequence(Rotate[P, (-((360° * i / g))), F], i, 1, g) → L_{13}
  50. Sequence(Rotate[P, (-((360° * i / u))), F], i, 1, u) → L_{14}
  51. Sequence(Rotate[Q, (-((360° * i / g))), I], i, 1, g) → L_{15}
  52. Sequence(Rotate[Q, (-((360° * i / u))), I], i, 1, u) → L_{16}
  53. Sequence(Rotate[R, (-((360° * i / g))), J], i, 1, g) → L_{17}
  54. Sequence(Rotate[R, (-((360° * i / u))), J], i, 1, u) → L_{18}
  55. Sequence(Rotate[S, (-((360° * i / g))), H], i, 1, g) → L_{19}
  56. Sequence(Rotate[S, (-((360° * i / u))), H], i, 1, u) → L_{20}
  57. Sequence(Rotate[T, (-((360° * i / g))), G], i, 1, g) → L_{21}
  58. Sequence(Rotate[T, (-((360° * i / u))), G], i, 1, u) → L_{22}
  59. Sequence(Segment[A, Element[L_3, i]], i, 1, g) → L_{23}
  60. Sequence(Segment[A, Element[L_4, i]], i, 1, o) → L_{24}
  61. Sequence(Segment[E, Element[L_5, i]], i, 1, g) → L_{25}
  62. Sequence(Segment[E, Element[L_6, i]], i, 1, o) → L_{26}
  63. Sequence(Segment[D, Element[L_7, i]], i, 1, g) → L_{27}
  64. Sequence(Segment[D, Element[L_8, i]], i, 1, o) → L_{28}
  65. Sequence(Segment[B, Element[L_9, i]], i, 1, g) → L_{29}
  66. Sequence(Segment[B, Element[L_{10}, i]], i, 1, o) → L_{30}
  67. Sequence(Segment[C, Element[L_{11}, i]], i, 1, g) → L_{31}
  68. Sequence(Segment[C, Element[L_{12}, i]], i, 1, o) → L_{32}
  69. Sequence(Segment[F, Element[L_{13}, i]], i, 1, g) → L_{33}
  70. Sequence(Segment[I, Element[L_{15}, i]], i, 1, g) → L_{35}
  71. Sequence(Segment[I, Element[L_{16}, i]], i, 1, u) → L_{36}
  72. Sequence(Segment[F, Element[L_{14}, i]], i, 1, u) → L_{34}
  73. Sequence(Segment[J, Element[L_{17}, i]], i, 1, g) → L_{37}
  74. Sequence(Segment[J, Element[L_{18}, i]], i, 1, u) → L_{38}
  75. Sequence(Segment[H, Element[L_{19}, i]], i, 1, g) → L_{39}
  76. Sequence(Segment[H, Element[L_{20}, i]], i, 1, u) → L_{40}
  77. Sequence(Segment[G, Element[L_{21}, i]], i, 1, g) → L_{41}
  78. Sequence(Segment[G, Element[L_{22}, i]], i, 1, u) → L_{42}
  79. Numerator(c) → v
  80. Numerator(f) → w
  81. Segment(U, V) → l_1
  82. OrthogonalLine(V, l_1) → m_1
  83. Circle(V, 5) → p_1
  84. Intersect(p_1, m_1, 1) → W
  85. Intersect(p_1, m_1, 2) → Z
  86. Segment(W, Z) → n_1
  87. Div(abs(a), abs(b)) → s_1
  88. Circle(A, K) → c_2
  89. Circle(E, L) → d_2
  90. Circle(D, M) → e_2
  91. Circle(B, N) → f_2
  92. Circle(C, O) → g_2
  93. Circle(F, P) → h_2
  94. Circle(I, Q) → k_2
  95. Circle(J, R) → p_2
  96. Circle(H, S) → q_2
  97. Circle(G, T) → r_2
  98. Div(abs(d), abs(e)) → u_1
  99. If(c < 0, (-s_1), s_1) → v_1
  100. Numerator(t_1) → w_1
  101. Sector(k, Element[L_4, abs(w_1)], K) → s_2
  102. Sector(s, Element[L_6, abs(w_1)], L) → t_2
  103. Sector(r, Element[L_8, abs(w_1)], M) → c_3
  104. Sector(p, Element[L_{10}, abs(w_1)], N) → d_3
  105. Sector(q, Element[L_{12}, abs(w_1)], O) → e_3
  106. Div(abs(d), abs(e)) → a_2
  107. If(f < 0, (-a_2), a_2) → b_2
  108. Numerator(i_2) → j_2
  109. Sector(t, Element[L_{14}, abs(j_2)], P) → f_3
  110. Sector(e_1, Element[L_{16}, abs(j_2)], Q) → g_3
  111. Sector(f_1, Element[L_{18}, abs(j_2)], R) → h_3
  112. Sector(d_1, Element[L_{20}, abs(j_2)], S) → k_3
  113. Sector(c_1, Element[L_{22}, abs(j_2)], T) → p_3
  114. Vector(A, A_1) → u_2
  115. Translate(L_{23}, u_2) → L_{43}
  116. Translate(L_{24}, u_2) → L_{44}
  117. Translate(L_{25}, u_2) → L_{45}
  118. Translate(L_{26}, u_2) → L_{46}
  119. Translate(L_{27}, u_2) → L_{47}
  120. Translate(L_{28}, u_2) → L_{48}
  121. Translate(L_{29}, u_2) → L_{49}
  122. Translate(L_{30}, u_2) → L_{50}
  123. Translate(L_{31}, u_2) → L_{51}
  124. Translate(L_{32}, u_2) → L_{52}
  125. Translate(s, u_2) → s'
  126. Translate(r, u_2) → r'
  127. Translate(q, u_2) → q'
  128. Translate(p, u_2) → p'
  129. Translate(k, u_2) → k'
  130. Translate(c_2, u_2) → c_4
  131. Translate(d_2, u_2) → d_4
  132. Translate(e_2, u_2) → e_4
  133. Translate(f_2, u_2) → f_4
  134. Translate(g_2, u_2) → g_4
  135. Translate(s_2, u_2) → s_4
  136. Translate(t_2, u_2) → t_4
  137. Translate(c_3, u_2) → c_5
  138. Translate(d_3, u_2) → d_5
  139. Translate(e_3, u_2) → e_5
  140. Vector(A, F) → v_2
  141. Translate(L_{43}, v_2) → L_{53}
  142. Translate(L_{44}, v_2) → L_{54}
  143. Translate(L_{45}, v_2) → L_{55}
  144. Translate(L_{46}, v_2) → L_{56}
  145. Translate(L_{47}, v_2) → L_{57}
  146. Translate(L_{48}, v_2) → L_{58}
  147. Translate(L_{49}, v_2) → L_{59}
  148. Translate(L_{50}, v_2) → L_{60}
  149. Translate(L_{51}, v_2) → L_{61}
  150. Translate(L_{52}, v_2) → L_{62}
  151. Translate(c_4, v_2) → q_3
  152. Translate(d_4, v_2) → r_3
  153. Translate(e_4, v_2) → s_3
  154. Translate(f_4, v_2) → t_3
  155. Translate(g_4, v_2) → h_4
  156. Translate(k', v_2) → k''
  157. Translate(p', v_2) → p''
  158. Translate(q', v_2) → q''
  159. Translate(r', v_2) → r''
  160. Translate(s', v_2) → s''
  161. Translate(t_4, v_2) → k_4
  162. Translate(s_4, v_2) → p_4
  163. Translate(c_5, v_2) → q_4
  164. Translate(d_5, v_2) → r_4
  165. Translate(e_5, v_2) → f_5
  166. Textfield(A1) → InputBox1
  167. Textfield(A2) → InputBox2
  168. Textfield(A3) → InputBox3

AI Drawing Prompt Reference

Draw a figure with five circles, each with a radius of 2.5 and centers at points A, E, D, B, and C. Then draw five vertical lines through A, E, D, B, and C, respectively. Rotate the first line 360 degrees/g around A, the second line 360 degrees/o around E, and so on for the other lines. Finally, find the intersections of all circles and lines, and use these points to draw a series of rotated shapes.
The prompt above was compiled from the original drawing commands and is for reference only.