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Mathematics Class 8

Exploring Some Geometric Themes

Count faces and edges, fold nets into solids, and build fractals step by step.

11 lessons · ~76 min total

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Lessons in this topic

  1. 0 Start here A roadmap: counting solids, folding nets, flat views, prisms and pyramids, and three fractals. · 3 min You are here
  2. 1 Faces, edges and corners A solid has flat faces, edges where faces meet, and corners where edges meet. Count each one. · 6 min
  3. 2 A flat plan that folds up A net is a flat plan that folds into a solid, one flat piece for each face. · 7 min
  4. 3 Six squares, and most plans do not fold Six squares joined edge to edge are not enough. Only 11 of the 35 ways fold into a cube. · 8 min
  5. 4 What you see from where The front view, top view and side view are flat shapes. Different solids can share one view. · 7 min
  6. 5 A relation hiding in the counts A prism or pyramid on n sides has counts you can write down. Faces plus corners minus edges gives 2. · 8 min
  7. 6 A shape inside itself Take the middle out of a triangle, then out of every triangle left. Count what remains. · 7 min
  8. 7 What each stage really does Put a bump on the middle third of every side. Count the sides and measure the outline. · 8 min
  9. 8 The carpet, and fractals around us Take the middle ninth out of every square. Then see where else this idea turns up. · 8 min
  10. 9 The big picture Eight ideas, one cheat sheet. · 5 min
  11. 10 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 9 min