09/11/2021
Making hexagons with equilateral triangles
Without understanding the problems of drawing specific triangles, learners will not easily understand the theory of congruent triangles and their uses. In this exercise I will illustrate one example, using decoupage, of how learners can explore the geometry of triangles.
Requirements:
• Please feel free to use your own materials and uses for this project. You can use fabric, wood, flat pieces of plastic etc to make coasters with them. I will be using 3 scrapbook coloured paper and cardboard. Each learner will need 3 different coloured or decorative craft sheets of paper (or other material)
• A blank paper, a pencil, an eraser and a ruler.
• Flat cardboard sheet big enough for the hexagonal coaster (approximately 12cmx12cm).
• Scissors and school glue or Modge Podge.
Method:
• Learners are told to make a template of a 5cm equilateral triangle using the blank paper, pencil and ruler only. This will be done using trial and error (the method with a compass will make more sense after the trial and error exercise which can be introduced once learners have struggled with the trial and error method).
• Once their triangle is more or less perfect, they have to cut it out.
• They now use this triangle to draw 6 triangles on the magazine pages or decorative paper and cut these triangles out.
• Arrange and glue these triangles into a pentagon on the cardboard.
• They can decorate each triangle as they please.
• Paint the pentagons with the glue or Modge Podge to seal it.
• Once the glue is dry, cut the plastic sheet around the pentagon.
At a later stage this exercise will also give learners insight into how the angles of a polygon is calculated.