... explain relationships. Informal dedication Here they are able to deduce the properties of figures and express inter relationships, both within and between figures. Formal deduction At this level formal deductive proofs can be created. Rigor Different axiomatic systems can be compared rigorously Expository Method 1. Good expository teaching involves a clear or orderly sequencing of information to be taught. 2. There is ... abstract concepts quite apart from building practicing skills and problem solving. It is usually combined with the guided discovery approach. Example A teacher gives ou...

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• Grade Level: High School

... was Sacchi who studied the curve (in 1854). Applications One method of squaring the circle, by relaxing the strict limitations on the use of straightedge and compass in ancient Greek geometric proofs, makes use of an Archimedean spiral. The Archimedean spiral has a variety of real-world applications. Scroll compressors, made from two interleaved Archimedean spirals of the same size, are used for ... ...

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• Grade Level: High School

... has been tested by scientist amongst others; yes, this can be used to make designs, but not to the uncanning accuracy that some have been found. Absolute perfect circles and geometric shapes have been found where these methods couldn't have made, not matter how hard you try. Also, there has been crop circles that have been found that are 300 years ... 't been invented yet when Giza was built. The wheel didn't for a while later. All this talk about crop circles and still don't prove anything. These things are the only few proofs that aliens have ever been to this earth. Yet these are stil...

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• Grade Level: High School