Exploring the Connection between Secant Lines and the Tangent Line at a Given Point (ARC)
Michael Fulkerson, University of Central Oklahoma
Kristi Karber, University of Central Oklahoma
Kristi Karber, University of Central Oklahoma
This lesson focuses on the connection between secant lines and the tangent line at a given point. Students will explore the slopes of various lines secant to a given graph by hand, as well as via a Desmos activity. After predicting the slope of the graph at a given point, they compute the actual slope at that point using the limit of a difference quotient. Students then have the opportunity to change the given point or the given function, make new predictions, and check their work in Desmos.
This work is licensed under CC BY-NC-SA 4.0
