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Graph
This!


 
This activity presents a variety of abstract and contextual tasks that are
to be completed both algebraically and graphically.
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 

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