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6th Grade
6th Grade

Ratio - Maths Mental Starters
Ratio - Maths Mental Starters

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... Notes: 8.1 Geometric mean   If we consider the proportion  ax =  xb  you will notice that the means of the proportions are the same number. That number is  the geometric mean of the extremes.   Geometric Mean – given two numbers “a” and “b”, use the following formula to find the geometric mean “x”. ...
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Senior Kangaroo 2011 - United Kingdom Mathematics Trust

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Mathematics and architecture



Mathematics and architecture are related, since, as with other arts, architects use mathematics to shape and sometimes to decorate buildings.In ancient Greece, buildings were laid out with specific proportions. In Islamic architecture, geometric shapes and geometric tiling patterns are used. The pyramids of ancient Egypt have mathematical proportions. Hindu temples have a fractal-like structure where parts resemble the whole.In Renaissance architecture, symmetry and proportion were deliberately emphasized.In the twentieth century, styles such as modern architecture and Deconstructivism explored different geometries to achieve desired effects.
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