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
Higher Order Derivatives
Students will calculate the second derivative of functions, inspect a graph and give the intervals for concave up and concave down and find the point of inflection.https://education.ti.com/en/activity/detail/higher-order-derivatives
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 2
Students explore distance-time and velocity-time graphs to deepen their understanding of the application of the derivative.https://education.ti.com/en/activity/detail/xtreme-calculus-part-2
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
"Value"able Theorems
Students are introduced to the Intermediate Value Theorem and Extreme Value Theorem from a graphical perspective.https://education.ti.com/en/activity/detail/valueable-theorems
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
AP® Precalculus - A Year in Review
AP® Precalculus - A Year in Review webinars website T³™ Professional Development | For Teachers and Teams | Online Learning | Live T³™ Webinars When: Tuesday, August 13, 2024 | 7 p.m. Cen...https://education.ti.com/en/t3-professional-development/for-teachers-and-teams/online-learning/on-demand-webinars/2024/aug-13-2024-ap-precalculus-a-year-in-review
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