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Loci Browse Articles

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Graph functions, zoom on points, and find points of intersection of multiple graphs.
This is an article describing the author's experiences using the Duke Connected Curriculum materials
A description of the online publication, Loci.

Marden's Theorem concerns the relative positions of the roots of a cubic polynomial and those of its derivative. This article gives a proof of Marden's theorem, along with dynamic geometry animations and some of the history of the result.

A Biological ESTEEM module in the Evolution Category. This Excel workbook simulates evolution of a single gene with three alleles.
A Developers' Area article about reuse and interoperability of mathematical tools.

This interactive Geogebra applet allows exploration of a linear transformation in terms of images of a set of points. The Geogebra interface allows dragging of points and vectors to make for versatile explorations of basic linear algebra ideas. Suggested activities are included.

These applets provide interactive student activities to make connections between the graphical and analytical interpretation of "completing the square" and writing the equation of a parabola in general and standard form.
A Biological ESTEEM module in the Phylogenetics Category. This worksheet simulates the molecular evolution of DNA sequences.

A mathlet that illustrates the relationship between the graphs of the natural sine and cosine curves and the vertical and horizontal coordinates of points on the unit circle.