Defining a quadratic function through the slopes of its secant/tangent lines leads to the fundamental theorem of calculus (FTC) and an alternative way of understanding integration.
An Alternative Approach for Defining a Quadratic Function
Kuo-Liang Chang and Ellen Lehet
Cultural Connections: Exploring the Mathematics of Qatayef
Paul Naanou and Sam Rhodes
Students grapple with the problem of finding the volume of two different folds of a traditional Levantine dessert using either geometry or calculus.
Envelope Curves Unify Sinusoidal Graphing
Christopher Harrow and Ms. Nurfatimah Merchant
Transferring fundamental concepts across contexts is difficult, even when deep similarities exist. This article leverages Desmos-enhanced visualizations to unify conceptual understanding of the behavior of sinusoidal function graphs through envelope curve analogies across Cartesian and polar coordinate systems.