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Discovering Basic Derivatives from jamesrahn on TeachersNotebook.com - (5 pages) - Using the Built-in Derivative Command on the graphing calculator students predict and confirm the function that will represent the derivative of numerous basic functions.

Visualizing the Definition of a Derivative through Graphing from jamesrahn on TeachersNotebook.com - (7 pages) - Through this graphing calculator activity students build an understand for the derivative of a function.

Connecting Graphs of f and f� with Descriptions from jamesrahn on TeachersNotebook.com - (27 pages) - This set contains 100 cards (25 pages of four cards each): The function, the graph of the function, the graph of the derivative of the function, and a description about the function or the derivative. The set should be duplicated on card stock and cut apa

How Can One Graph Help Describe Another Graph? from jamesrahn on TeachersNotebook.com - (6 pages) - Through this graphing calculator activity students will learn how the graph of a derivative helps them describe the behavior of the original function . This is a very important task in AP Calculus. Both first and second derivative graphs are studied.

Connecting the Definition of a Derivative Graphically, Numerically, Analytically, and Verbally from jamesrahn on TeachersNotebook.com - (11 pages) - Through this several day lesson students will learn to describe the derivative of a function graphically, numerically, verbally, and analytically. This is described as using the Rule of 4.

Guided inquiry activity - Students use a straightedge and learn to graph the derivative of a function. They draw conclusions about the degree of the function and investigate second derivatives.

What is the Slope of a Function at a Point? from jamesrahn on TeachersNotebook.com - (6 pages) - This graphing calculator activity engages the students in using the difference quotient and table values to approximate the slope of a function at a point. Students develop an understanding for the definition of a derivative and writing the slope of a fun

Derivatives & Second Derivatives - Graphing Concepts:This activity requires students to match up the graph of a function with the graphs of its 1st and 2nd derivative. This will help students to visually compare graphs and see how slopes at different points transfer to the graph of the derivative.The activity does not require differentiation, just the understanding of what a derivative means in terms of the graph.

Discovering Properties of Slope from jamesrahn on TeachersNotebook.com - (7 pages) - This graphing calculator exercise has students graph four different linear functions and then study various tables of values to notice that no matter what points we pick on the line, the slope is always the same.

Investigating Differentiability and Continuity with the Graphing Calculator from jamesrahn on TeachersNotebook.com - (5 pages) - Through this investigation students learn that continuous functions can either be differentiable or nondifferentiable. Students are reminded that differentiable functions are always continuous.

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