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North Carolina Standard Course of Study AP Calculus Numbers and Operations:Competency Goal 1: The learner will demonstrate an understanding of the behavior of functions.
Lesson (...)
Lesson: Explores derivatives and the idea of infinity using a geometric interpretation of slope.
Activity (...)
Activity: Enter a set of data points, then derive a function to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.
Activity: View the graph and the equation of the line tangent to any function at any point on the function.
Activity: A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.
Activity: Students can create graphs of functions entered as algebraic expressions -- similar to a graphing calculator.
Activity: Create graphs of functions and sets of ordered pairs on the same coordinate plane. This is like a graphing calculator with advanced viewing options.
Activity: Enter a set of data points and a function or multiple functions, then manipulate those functions to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.
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