Students make strategic choices–and justify them–to solve a system of two linear equations.
Samuel Otten and Andrew Otten
Darla R. Berks and Amber N. Vlasnik
Two teachers discuss the planning and observed results of an introductory problem to help students nail a conceptual approach to solving systems of equations.
The mathematical concept of slope can be made real through a set of simple, inexpensive, and safe experiments that can be conducted in the classroom or at home. The experiments help connect the idea of slope with physical phenomena related to surface tension. In the experiments, changes in surface tension across the surface of the water, which correspond to greater slopes on the graph, lead to increased motion of the fluid. The mathematical content, targeted to middle school and high school students, can be used in a classroom or workshop setting and can be tailored to a single session of thirty to ninety minutes.
Three graphing activities lead students to discover the shapes and properties of the graphs for linear, quadratic, and absolute value functions and inequalities.