*The Factorial Triangle is a relative of Pascal's Triangle with many applications*

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*Elementary methods for bounding definite integrals*

*What right triangles with legs of integer length have the property that their area equals their perimeter?*

*Generalizations of the problem: A goat is tethered to the edge of a disc shaped field of radius \(r\). The goat's rope is of length \(kr\). If the field is \(n\)-dimensional, what fraction...*

*Generalization of the fact that \(n^2-n+2\) is the maximum number of disjoint regions in the plane that can be formed by \(n\) circles using the basic set operations*

*Matrix algebra is used to describe geometric loci.*

*Elementary derivation for probability of relative primality*

*Classroom demonstrations of physical properties*

*Counting techniques for sequences of zeros and ones*

*Uses geometry and integration to relate hyperbolic and exponential functions*