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Calculus: Derivatives Classroom ActivitiesDownload
Calculus_Concavity

Concavity

Examine the relationship between the first and second derivative and shape of a function.
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C_Continuity_and_Differentiability_1_sm

Continuity and Differentiability 1

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Explore piecewise graphs and determine conditions for continuity and differentiability.
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Calculus_ContinuityAndDifferentiability

Continuity and Differentiability 2

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Explore piecewise graphs and determine conditions for continuity and differentiability.
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C_Critical_Points_sm

Critical Points and Local Extrema

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Visualize the connections between the critical points and local extrema.
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Calculus_DerivativeFunction

Derivative Function

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Transition from thinking of the derivative at a point to thinking of the derivative as a function.
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C_Derivative_Grapher_sm

Derivative Grapher

Visualize the relationship between the graph of a function and the graph of its derivative function.
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image

First Derivative Test

Visualize the connections between the first derivative of a function, critical points, and local extrema.
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07-14-2015 Image001

Graphical Derivatives

Apply knowledge of the graphical relationship between a function and its derivative.
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C_Inverse_Derivative_sm

Inverse Derivative

Visualize the reciprocal relationship between the derivative of a function and the derivative of its inverse.
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C_Local_Linearity_sm

Local Linearity

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Visualize the idea of derivative as local slope.
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Calculus_MeanValueTheorem

Mean Value Theorem

Calculate slopes of secant lines, create tangent lines with the same slope, and note observations about the functions and slopes.
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MVT_for_Derivatives

MVT for Derivatives

The MVT relates the average rate of change of a function to an instantaneous rate of change.
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C_Second_Derivative_Grapher_sm

Second Derivative Grapher

Visualize the relationship between the graph of a function and the graph of its second derivative.
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Calculus_SignOfTheDerivative

Sign of the Derivative

Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.
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Calculus_SlopeOfSecantLines

Slopes of Secant Lines

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Collect data about the slope of a secant line and then predict the value of the slope of the tangent line.
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C_Symmetric_Secant_sm

Symmetric Secant

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Investigate the symmetric secant line to provide an estimate for the derivative of a function at a point.
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Calculus_TangentLineDemo

Tangent Line Demonstration

Make a connection between the slope of the tangent line at a point and the function that represents the slope at all tangent points to a function.
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