Translation by a vector in the coordinate plane is first introduced in precalculus and connects to the basic theory of vector spaces in linear algebra. In this article, the authors explore the topic of collision detection in which the idea of a translation vector plays a significant role. Because collision detection has various applications in…

Uses vectors and programming with graphing calculators to analyze a ride in an amusement park (the "Scrambler") that has three long arms that revolve horizontally around a central post, at the end of which hang seats revolving in circles. (ASK)

Graphs equations in two variables using a BASIC screen-sweep program that generates solutions to equations by applying the intermediate value theorem. Provides suggestions for investigations that result in graphs of a butterfly, the Cheshire cat, the Trisectrix of Catalna, E. T. waving goodbye, a praying mantis, and others. (MDH)

Discusses a visual programming language, Function Machine Lab, which helps students with the concept of function using the function machine image. (MKR)

Presents a scenario in which two people solve a programming problem by discussing various number sequences and functions. The problem is redefined as one related to number theory and operations research. (DDR)