Somewhere in the Middle
Students find out when the slope of a tangent line is parallel to the secant line passing through the endpoints of an interval to help them find the values of c guaranteed to exist by the Mean Value Theorem.https://education.ti.com/en/activity/detail/somewhere-in-the-middle
MacLaurin Polynomials
Students will use the TI-89 to investigate MacLaurin polynomials. They produce polynomials that approximate very special functions.https://education.ti.com/en/activity/detail/maclaurin-polynomials
Alternating Series
Students will use the capabilities of their calculators to find limits and compare two series to determine if the alternating series converges or diverges. Then students will approximate the sum of an alternating series by using a table to find partial sums and using the Alternating Series Remain...https://education.ti.com/en/activity/detail/alternating-series
Linear Approximation - 2
Students graph the functions, construct the tangent line at a point, and find an estimate from a linear approximation.https://education.ti.com/en/activity/detail/linear-approximation_2
The Exponential Derivative
Students will derive the derivative of the function y = ex, work with the derivative of both y = eu and y = ax, and look at the tangent to the graph of y = ex. In the process, the students will have to find the limit as h approaches 0 of (eh?1)/ h.https://education.ti.com/en/activity/detail/the-exponential-derivative
Xtreme Calculus: Part 1
Students explore relative maximums and minimums by drawing tangent lines to a curve and making observations about the slope of the tangent line.https://education.ti.com/en/activity/detail/xtreme-calculus-part-1_1
Volume by Cross Sections
Students explore the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes.https://education.ti.com/en/activity/detail/volume-by-cross-sections
One Sided Limits
Students will graph piecewise functions and be asked to evaluate both the left hand limit and the right hand limit of the function as x approaches a given number, c.https://education.ti.com/en/activity/detail/one-sided-limits
Integration By Parts
Students investigate the product rule of differentiation and integration by parts.https://education.ti.com/en/activity/detail/integration-by-parts
Infestation to Extermination
Students investigate exponential growth and decay through the situation of infestation and extermination.https://education.ti.com/en/activity/detail/infestation-to-extermination
Absolute Value Investigation
The activity is an investigation about the graphs of absolute value functions. Given the function f(x) draw a graph of abs(f(x) and f(abs(x)).https://education.ti.com/en/activity/detail/absolute-value-investigation