Bridging Geometry Concepts with Art Handout/Overview - PowerPoint PPT Presentation

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  1. Bridging Geometry Concepts with ArtHandout/Overview by Joan A. Cotter, Ph.D. joancotter@rightstartmath.com AMS Conference March 17, 2012San Francisco CA Complete presentation available after 3/20: rightstartmath.com

  2. Drawing Tools T-square T-square Right-handed user.

  3. Drawing Tools T-square Must hug the edge of the board.

  4. Drawing Tools Pencil (mechanical) and eraser Hold pencil 2-3cm (1 in.)from tip.

  5. Drawing Tools Pencil (mechanical) and eraser Parallel lines.

  6. Drawing Tools The 30-60 triangle Triangle must hug the t-square.

  7. Drawing Tools The 30-60 triangle This doesn’t work!

  8. Drawing Tools The 30-60 triangle More parallel lines.

  9. Drawing Tools The 30-60 triangle Still more parallel lines.

  10. Drawing Tools The 30-60 triangle Intersecting lines.

  11. Drawing Tools The 45 triangle Maintain a margin.

  12. Move the t-square down. Equilateral Triangles Draw the base line

  13. Move the t-square down. Equilateral Triangles Draw the base line

  14. Draw a side. Equilateral Triangles Draw the sides

  15. Flip the triangle and repeat. Equilateral Triangles Draw the sides

  16. Flip the triangle and repeat. Equilateral Triangles Draw the sides

  17. A bit of erasing. Equilateral Triangles Draw the sides

  18. Equilateral Triangles Divide it into halves

  19. Equilateral Triangles Divide it into halves

  20. The two halves are congruent. 1 1 2 2 Equilateral Triangles Divide it into halves

  21. Divide it in half another way. Equilateral Triangles Divide it into halves

  22. Equilateral Triangles Divide it into halves

  23. Equilateral Triangles Divide it into thirds

  24. Equilateral Triangles Divide it into thirds

  25. Equilateral Triangles Divide it into thirds

  26. Flip the triangle and repeat. Equilateral Triangles Divide it into thirds

  27. Equilateral Triangles Divide it into thirds

  28. Finding the center of the base line. Equilateral Triangles Divide it into fourths

  29. Be sure the tick mark intersects the line. Equilateral Triangles Divide it into fourths tick mark

  30. Equilateral Triangles Divide it into fourths

  31. Flip the triangle over and repeat. Equilateral Triangles Divide it into fourths

  32. How do you draw the last line? Equilateral Triangles Divide it into fourths

  33. The smaller triangles are similar to the larger triangle. Equilateral Triangles Divide it into fourths

  34. Name the rhombuses: Equilateral Triangles Divide it into fourths A B F C E D

  35. Name the rhombuses: ABDF, Equilateral Triangles Divide it into fourths A B F C E D

  36. Name the rhombuses: ABDF, BCDF, BDEF. Equilateral Triangles Divide it into fourths A B F C E D

  37. Name the trapezoids: BCEF, Equilateral Triangles Divide it into fourths A B F C E D

  38. How could you draw eighths? Equilateral Triangles Divide it into eighths

  39. Equilateral Triangles Divide it into eighths

  40. Equilateral Triangles Divide it into eighths

  41. Divided into sixths. Equilateral Triangles Divide it into sixths

  42. Name a right triangle: ADE, Equilateral Triangles Divide it into sixths A B F G C E D

  43. Name a right triangle: ADE, ABE, Equilateral Triangles Divide it into sixths A B F G C E D

  44. Name a right triangle: ADE, ABE, ABG. Equilateral Triangles Divide it into sixths A B F G C E D

  45. Name an obtuse triangle: GCE. Equilateral Triangles Divide it into sixths A B F G C E D

  46. Equilateral Triangles Divide it into twelfths

  47. Equilateral Triangles Divide it into twelfths

  48. Do you see the cube? Equilateral Triangles Divide it into twelfths

  49. Do you see the hexagon? Equilateral Triangles Divide it into twelfths

  50. Ninths Equilateral Triangles