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Constructive Triangles

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  1. Box One - Rectangle Box - Contents
  2. Box One - Rectangle Box - First Presentation
  3. Box One - Rectangle Box - Second Presentation
  4. Box One - Rectangle Box - Third Presentation
  5. Box 2 - Triangle Box - Materials
  6. Box 2 - First Presentation
  7. Box 2 - Second Presentation
  8. Box 2 - Third Presentation
  9. Box 2 - Fourth Presentation
  10. Box Three - Large Hexagonal Box Materials
  11. Box Three - First Presentation
  12. Box Three - Second Presentation
  13. Box Three - Third Presentation
  14. Box Four - Small Hexagonal Box - Materials
  15. Box Four - First Presentation
  16. Box Four - Second Presentation
  17. Box Five - Blue Triangle Box - Contents
  18. Box Five - First Presentation
  19. Box Five - Second Presentation

Participants 38

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Constructive Triangles Box Three – Third Presentation
Lesson 13 of 19
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Box Three – Third Presentation

Collin January 14, 2022
  1. Have the child build the figures as before.
  2. Show the child that three obtuse angled isosceles triangles are equal in shape and area to one equilateral triangle.
  3. Slide the yellow hexagon and the yellow triangle down in front of the child.
  4. Remove the center of the hexagon.
  5. Build the second equilateral triangle, made from the three obtuse angled isosceles triangles, on the first equilateral triangle.
  6. Trace if necessary and say: “These triangles are the same.”
  7. Slide the second triangle off the first, and place its pieces in the center of the hexagon that the first triangle was taken from.
  8. Next, bring the rhombus down and compare to the hexagon that has just been built.
  9. Show that the three rhombi are equal in area to one hexagon.
    1. Place the rhombus on top of the hexagon, and rotate to illustrate.
    1. A hexagon is composed of 6 obtuse angled isosceles triangles.
  10. Allow the child to build with the shapes.
  11. Show the child once again that the shapes made of the same triangles are equal in area.
  12. Return to the box as follows:
    1. Large yellow triangle and its matching smaller triangles.
    1. Second yellow equilateral triangle, gray and red triangles to its side.

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