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Quiz: Writing Equivalent Rates

Quiz: Writing Equivalent Rates
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2022-03-26 01:53
Geometric Construction
In collections Proportional Relationships
This example demonstrates how to create an interactive quiz in GeoGebra to help students understand and practice writing equivalent rates. It involves core math concepts like ratios, proportions, algebraic operations, linear equations, and geometric transformations. Key GeoGebra commands and objects used include PointIn, Random, Dilate, Vector, Segment, If, and Textfield for generating random geometric figures, transformations, and conditional text display. Suitable for middle school and above students for classroom practice and concept reinforcement.

GeoGebra Commands & Parameters

  1. PointIn(g_1) → D
  2. Random(1, 15) → y_1, 5
  3. Random(1, 15) → x_1, 14
  4. Random(20, 75) → k, 51
  5. Dilate(B, If[0 < a ≤ 1, 1 - a, 0], A) → B'
  6. Vector(B, B') → u
  7. Dilate(A, If[2 < a ≤ 3, 3 - a, 0], (0, y(D))) → A'
  8. Vector(A, A') → v
  9. Dilate(A', If[3 < a ≤ 4, 4 - a, 0], D) → C'
  10. Dilate(D, If[5 < a ≤ 6, 6 - a, 0], (x(D), y(D) + y(A'))) → D'
  11. Dilate(D', If[6 < a ≤ 7, 7 - a, 0], (x(D') + x(D), y(D'))) → E'
  12. Dilate(A, If[8 < a ≤ 9, 9 - a, 0], D) → A'_{1}
  13. Segment(A, A'_{1}) → g
  14. Dilate(D, If[9 < a ≤ 10, 10 - a, 0], E) → D'_{1}
  15. Random(-10, 10) → b_1, 10
  16. Random(-10, 10) → n_1, 7
  17. Random(1, 10) → d_1, 8
  18. If(s ≥ 0, "earn", "lose") → text7
  19. If(d > 1, "hours", "hour") → text8
  20. Textfield(p) → InputBox3
  21. Textfield(o) → InputBox1
  22. If(o ≟ n_1 / d_1, "Yes!", "no") → text9
  23. If(p ≟ q, "Yes!", "no") → text10
  24. Vector(A', C') → w
  25. Dilate(D, If[9 < a ≤ 10, 10 - a, 0], E') → D'_{2}
  26. Segment(D, D'_{2}) → h
  27. Textfield(p_1) → InputBox2
  28. Textfield(q_1) → InputBox4
  29. Textfield(k_1) → InputBox5
  30. Textfield(m_1) → InputBox7
  31. Textfield(o_1) → InputBox8
  32. Textfield(l_1) → InputBox6
  33. If(c1, "√", "×") → text21
  34. If(c2, "√", "×") → text20
  35. If(c3, "√", "×") → text22

AI Drawing Prompt Reference

Create an interactive geometry quiz showing random points, vectors, and geometric transformations. Start with a point, generate random coordinates, and use them to create points and vectors. Apply dilation and transformation to generate new shapes, connecting key points with line segments. Include text boxes and conditional text to display equivalent rates and transformation results.
The prompt above was compiled from the original drawing commands and is for reference only.