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Color Mixtures & Drink Mix Lesson

Color Mixtures & Drink Mix Lesson
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2020-10-15 02:46
VectorCoordinate GeometryGeometric Construction
In collections Unit 2 Classwork: Intro to Ratios
This example demonstrates understanding ratios and statistical characteristics through color mixtures and drink mixtures. It involves core math concepts like ratios, statistical characteristics, terms, LCM and GCD, real numbers, and 2D vectors. GeoGebra commands used include Ellipse, Point, If, Segment, Vector, Translate, Polygon, Sequence, Ray, with objects like top, yellow, e, F, blue, ratio2, ratio, a, A1-A21, B2-B11. Suitable for middle school and above for learning proportions, statistics, and geometric constructions.

GeoGebra Commands & Parameters

  1. Ellipse((1, 0), (2.5, 0), 1.5) → e
  2. Point(e) → F
  3. If(yellow + blue ≟ 0, 1, If[ratio ≤ 1, 0, (0.79 * ratio2^(2)) - (1.72 * ratio2) + 0.99]) → a
  4. If(yellow + blue ≟ 0, 1, If[ratio ≥ 1, 1, (-0.85 * ratio^(2)) + (1.78 * ratio)]) → b
  5. If(yellow + blue ≟ 0, 1, If[ratio ≥ 1, 0, (0.79 * ratio^(2)) - (1.72 * ratio) + 0.99]) → c
  6. Point(e) → E
  7. Segment(F, (x(F), ht)) → f
  8. Vector(F, G) → u
  9. Translate(e, u) → e'
  10. Polygon(G, F, E, H) → poly2, g, f_1, e_1, h
  11. Segment(I, F) → i
  12. Segment(E, J) → j
  13. Vector(F, I) → v
  14. Ellipse((1, ht), (2.5, ht), 1.5) → p
  15. Ellipse((1, 0), (2.5, 0), 1.5) → q
  16. Segment(H, E) → l
  17. Ellipse((1, top), (2.5, top), 1.5) → k
  18. Segment(C, A) → m
  19. Segment(B, D) → n
  20. Vector(A, C) → w
  21. Vector(A, K) → r
  22. Translate(B, r) → B'
  23. Polygon(K, A, B, B') → poly1, k_1, a_1, b_1, b'
  24. If(yellow2 + blue2 ≟ 0, 1, If[ratiox ≤ 1, 0, (0.79 * (1 / ratiox)^(2)) - (1.72 * 1 / ratiox) + 0.99]) → a2
  25. If(yellow2 + blue2 ≟ 0, 1, If[ratiox ≥ 1, 1, (-0.85 * ratiox^(2)) + (1.78 * ratiox)]) → b2
  26. If(yellow2 + blue2 ≟ 0, 1, If[ratiox ≥ 1, 0, (0.79 * ratiox^(2)) - (1.72 * ratiox) + 0.99]) → c2
  27. Vector(F, A) → d
  28. Translate(q, d) → q'
  29. Translate(q, d) → q'_1
  30. Translate(q'_1, r) → s
  31. Translate(q'_1, r) → t
  32. Segment(B', B) → g_1
  33. Segment(K, A) → h_1
  34. Sequence(Ellipse[(1, k), (2.5, k), 1.5], k, 10, 90, 10) → list1
  35. Translate(list1, d) → list1'
  36. Ray((8.5, 0), (8.5, 1)) → i_1
  37. Sequence((8.5, n), n, 0, 100, 10) → list2
  38. Point(i_1) → L
  39. Sequence(Text[m + "ml", (8.65, m - 1.5)], m, 0, 100, 10) → list3
  40. Polygon(M, N, O, P) → poly3, m_1, n_1, o, p_1

AI Drawing Prompt Reference

The figure consists of multiple ellipses, points, line segments, vectors, and triangles. Ellipses represent color mixing areas, points mark key positions, line segments connect these points, vectors indicate directions, and triangles are formed by combining points and vectors. The construction order is: first draw ellipses, then determine points, then connect points, define vectors, and finally combine points and vectors to form triangles. The overall figure has a geometric construction feel, with elements connected by line segments and vectors to create a coherent visual structure.
The prompt above was compiled from the original drawing commands and is for reference only.