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Visual Patterns in Mathematical Sequences: Exploring Shape and Growth

Discover the beauty of visual patterns in mathematics through examples of linear growth, nonlinear growth, shapes, and geometrical elements. Dive into fascinating sequences and explore the variations step by step.

lancasterj
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Visual Patterns in Mathematical Sequences: Exploring Shape and Growth

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  1. VISUALPATTERNS

  2. EXAMPLES

  3. Visual Pattern A (Direct Variation) • Perimeter

  4. Visual Pattern B (Linear Growth) • Number of squares

  5. Visual Pattern C (Nonlinear Growth) • Number of circles

  6. Visual Pattern D (Nonlinear Growth) • Number of squares

  7. Visual Pattern E (Oblong Numbers) • Number of squares

  8. Visual Pattern F (Triangular Numbers) • Number of blue squares

  9. Step 1 • Number of blue squares

  10. Step 2 • Number of squares

  11. Step 3 • Number of squares

  12. Step 4 • Number of squares

  13. Step 5 • Number of squares

  14. #1-10

  15. Visual Pattern #1a • Number of squares

  16. Visual Pattern #1b • Number of toothpicks

  17. Visual Pattern #2 • Number of cubes (volume)

  18. Visual Pattern #3a • Number of squares (area)

  19. Visual Pattern #3b • Perimeter

  20. Visual Pattern #3c • Number of segments not on the perimeter

  21. Visual Pattern #4a • Number of squares (area)

  22. Visual Pattern #4b • Perimeter

  23. Visual Pattern #5a • Number of circles

  24. Visual Pattern #5b • Number of tangent points (i.e., circles touch)

  25. Visual Pattern #6a • Number of toothpicks

  26. Visual Pattern #6b • Number of small triangles

  27. Visual Pattern #6c • Number of triangles (of any size)

  28. Visual Pattern #7a • Number of pine trees

  29. Visual Pattern #7b • Value of pine trees

  30. Visual Pattern #8a • Number of penguins

  31. Visual Pattern #8b • Number of ice skates

  32. Visual Pattern #9 • Number of snowflakes

  33. Visual Pattern #10a • Number of puppies

  34. Visual Pattern #10b • Number of dog ears

  35. Visual Pattern #10c • Number of paws

  36. #11-20

  37. Visual Pattern #11a

  38. Visual Pattern #11b

  39. Visual Pattern #12

  40. Visual Pattern #12

  41. Visual Pattern #13

  42. Visual Pattern #14

  43. Visual Pattern #15

  44. Visual Pattern #16

  45. Visual Pattern #17

  46. Visual Pattern #18

  47. Visual Pattern #19

  48. Visual Pattern #20

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