Plane Figures: Divergent and Convergent Lines

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Age

6-9.

Materials

  • Box of sticks
  • Supplies
  • Board
  • Also 4 figures of children: 2 happy, two sad and 4 one-way red arrows

Preparation


Presentation

  1. The two parallel sticks may be left on the board for comparison.
  2. The directress fixes one stick horizontally.
  3. Two small, but different guide sticks are used to position the second stick.
  4. The guide sticks are set aside.
  5. Place the two unhappy children on the lines.
  6. These two children are very sad.
  7. They used to get along very well, but as they went along in life, the distance between them becomes greater and greater.
  8. Move the figures along the lines.
  9. That's why they look so unhappy.
  10. Replace the figures with one way arrows.
  11. These lines go only in one direction, the distance between the lines keeps increasing.
  12. Place extra sticks at the wide end, showing that the guide sticks would also need to increase in length.
  13. These are divergent lines. (Divergent < diverge: Latin di-apart, separatelym and vergo - to incline 0r - Latin divergare < devergere, de-opposite of con (together) and vergare, to direct oneself; thus to move away from each other).
  14. This term was coined in 1611 by Kepler to give the opposite of convergere which means to direct towards each other.

Control Of Error


Points Of Interest


Purpose


Variation


Links


Handouts/Attachments