geometry

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Level Three
Geometry and Measurement
Units of Work
This unit examines the use of reflective, rotational, and translational symmetry in the design of logos. Logos are designs associated with a particular trade name or company and usually involve symmetry to make them aesthetically pleasing as well as functional.
  • Find all the lines of reflection symmetry in a given shape.
  • Identify the order of rotational symmetry of a given shape (how many times it "maps" onto itself in a full turn).
  • Create designs which have reflection symmetry, rotational symmetry (orders 2, 3, 4, 6) and translational symmetry.
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Level Three
Geometry and Measurement
Units of Work
This unit examines tessellations, that is, ways of covering the plane (a two-dimensional surface) with copies of the same shape without any gaps or overlaps. Students will investigate what properties shapes must have in order to tessellate. The tessellations investigated involve both non-regular and...
  • Demonstrate why a given tessellation will cover the plane.
  • Create regular tessellations.
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Level Four
Geometry and Measurement
Units of Work
In this unit we apply our understanding of why tessellations work to form our own unique tessellating shapes. We use these shapes to create interesting pieces of art in the style of M.C. Escher , a famous Dutch artist.
  • Alter polygons to create unique shapes that tessellate.
  • Describe the reflection or rotational symmetry of a shape or tessellation.
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