Mathematics Topics: The collection of tasks included in this activity involve the following topics: problem solving, graphs of linear, quadratic trigonometric, and exponential functions, piecewise linear graphs, Taylor's Theorem, limits, max/min problems, elementary probability.

Mathematical Thinking: Students will solve problems, analyze graphs, derive equations, predict graph shapes, compare algebraic and graphical methods, and relate algebraic, numerical and graphical features of various topics.

Technology: Graphing calculators are used to draw and trace graphs and generate tables.

Sample Screenshots:

Figure 1. Piecewise linear graphs representing conditions in an applied problem

Figure 2. A graph representing a process of continued doubling

Figure 3. A graph showing Taylor approximations to the sine function