Cutting out shapes to show that the exterior angles sum to 3600.

Triangulate polygons to identify the formula for S.

Longman IGCSE 1, 2

Worksheets

Task Maths 2

Construct simple tessellations Understand which shapes tessellate Be able to tessellate with more than one shape. Tessellate equilateral triangles, squares and regular hexagons by drawing.

Group work to identify which polygons tessellate and why.

Find pairs of regular shapes that tessellate.

Design their own Escher style display.

Investigation by drawing, collating which shapes tessellate. Independent online research on the work of Escher. WM4

Longman IGCSE 1, 2

Worksheets

Task Maths 4

Online interactive resources (totally tessellated, etc).

Non-Euclidean Geometry Taxicab Geometry Discuss the articles on non-Euclidean geometries.

Investigate whether or not taxicab geometry is a better model of urban geography than Euclidean geometry

Reading and class discussion of different geometries.

Play taxicab treasure hunt.

Worksheet on taxicab geometry.

Investigate taxicab ellipses, parabolas and hyperbolas

http://www.learner.org/teacherslab/math/geometry/shape/taxicab/

http://hippocampusmath.blogspot.com/2009/02/taxicab-geometry.html

Taxicab worksheet

Step 4: use the space below for on-going reflection and evaluation

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