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CHAPTER AT A GLANCE
Exploring Some Geometric Themes
•Unit: Geometry and Mensuration (solids and fractals)
•Board weightage: Fractals (Sierpinski carpet, triangle and Koch snowflake), faces-edges-vertices, nets of solids, shortest path on a cuboid and projections give 2-mark, 3-mark and 4-mark questions (please check the latest sample paper)
•Key ideas from the textbook: self-similarity, patterns Rₙ and Hₙ, areas and perimeters of fractals, profiles of solids, faces edges vertices, prisms and pyramids, nets of a cube, tetrahedron, cylinder and cone, the ant and laddu problem, projections of lines
•Most scoring part: counting in the fractal steps with a table and writing the general formula; counting faces, edges and vertices and checking with F + V − E = 2
•Time to revise: about 60 minutes
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