Constructive Triangles - Lg. Hex. Box


A large hexagonal box - 2 red obtuse-angled isosceles triangles with a black line on the side opposite the obtuse angle, 2 gray obtuse-angled isosceles triangles with a black line on one of the sides enclosing the obtuse angle, 6 yellow obtuse-angled isosceles triangles: 3 with a black line on the opposite side of the obtuse angle and 3 with black lines on both equal sides, 1 yellow equilateral triangle which sides equal the longest side of the other triangles, these have a black line on all 3 sides

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  • To show what figures can be constructed with isosceles obtuse angled triangles, which is 1/3 of an equilateral triangle
  • Have the child lay out a mat on the floor.
  • Show the child how to carry the box, and have him carry it to the mat. 
  • Take all the pieces out of the box, and place them scattered on the mat. 
  • Place the two red obtuse angled isosceles triangles together, and place the two gray obtuse angled isosceles triangles together. The red figure should be to the left of the gray figure.
  • Then form the large yellow triangle with three smaller yellow triangles with black lines on two edges. Place this to the right of the other two figures. 
  • Then place the large triangle to the furthest right position. Then place the three remaining small triangles around the large triangle. Line these figures up according to their black lines.
  • All these figures should be in a row at the top of the mat. 
  • Now turn the three triangles around the large triangle over on their backsides on top of the large triangle so that the brown side is showing. The triangle should look completely brown, and there should be one single triangle. 
  • Then place the three triangles that form the triangle to the left of the triangle you just worked on, on top of the brown faced triangle. Place them on top of the brown surface, faced up (yellow part up). It should look like there is only one triangle on the mat.  
  • Now place that last set of triangles back in their position on the mat, in a triangle. 
  • Flip the other set of triangles back over so that they are yellow side up. 
  • Place these triangles around the other large yellow triangle that is formed by the triangles with two black lines. 
  • Separate this large triangle (triangle that was formed by the triangles with two black lines) into three rhombi. 
  • Bring these three rhombi down in front of the child.
  • Bring down the red rhombus down next to the three yellow rhombi. 
  • Place the red rhombus over top of the three yellow rhombi, one by one. 
  • Then place the red rhombus back in its place in the row.
  • Now with the three yellow rhombi, form three parallelograms. Do this by moving the left side triangle over top of the right side triangle and place it on the other side of the triangle. 
  • Pull down the grey parallelogram to be next to the yellow parallelograms. 
  • Place the grey parallelogram over the three yellow parallelograms, one by one. 
  • Then place the grey parallelogram back in its place in the row. 
  • Change the three yellow parallelograms into three yellow rhombi again. 
  • Form the large yellow triangle once more with the three rhombus again. 
  • Take three triangle pieces with one black line from the first triangle, and place them around the second large yellow triangle. 
  • Disorder the pieces and invite the child to do the presentation. 
  • To the materials put away, place the large triangle in first, then the small yellow triangles around this large yellow triangle. Then form another large yellow triangle with the small triangle pieces with two black lines on them. Place the two red pieces on either side of the triangles, and stack the grays and place them in the remaining space next to the triangle.