Activity:
From Secant Lines to Tangent Lines 

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Description: 
This activity demonstrates one of the many ways Sketchpad can be used in a calculus or math analysis class. Here, students explore the relationship between the slopes of secant lines to a curve and the slope of a tangent line to the curve using Sketchpad's dynamic features. They investigate the limit concept and express the relationship between the slopes of secant lines and slope of tangent lines as a limit statement. 
Technology Type: 
Sketchpad  
Author: 
teacherlink.orgCenter for Technology and Teacher Education 
Language: 
English  
Cost: 
Does not require payment for use 

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Courses: 
PreCalculus 
limits, derivative, tangent line 
 Calculus 
Derivatives analytically, And average rate of change, As the lim. of the diff. quot., Slope of a curve at a point, Tangent line 
