Lesson 16 of 19
In Progress

Box Four – Second Presentation

Collin January 14, 2022
  1. When the figures have been built and placed properly on the rug, show the child that the gray hexagon is equal to two green trapezoids.
    1. Place the trapezoid on the upper half of the hexagon, and flip over to the lower half while saying: “Two trapezoids are equal to one hexagon.”
    1. Offer the child a turn.
  2. Show that the gray hexagon is equal to the three rhombi.
    1. Pivot the red rhombus (made from the two equilateral triangles) around each third of the hexagon.
    1. Slide the rhombus off the hexagon and separate the hexagon into three rhombi.
    1. Offer the child a turn.
  3. Show that the gray hexagon is equal to the three rhombi made from the obtuse angled isosceles triangles.
    1. Place the three rhombi directly on top of the hexagon to show that they are the same size.  Trace if necessary.
    1. Slide them off and offer the child a turn.
  4. Show the child that the pieces from the two different rhombi are equal in surface area.
  5. Show that the yellow equilateral triangle plus three isosceles triangles are equal to the hexagon.
    1. Place an isosceles triangle on each side of the equilateral triangle and compare it to the hexagon.
  6. Allow the child to experiment with the pieces.
    1. Play games where teacher and child construct shapes with pieces of equal area.
    1. Have child use paper, pencil, and scissors to experiment.
  7. Replace the triangles to the box as before, the box to the shelf.