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 Logarithmic Derivative
Students will determine the derivative of the function y = ln(x) and work with the derivative of both y = ln(u) and y = loga(u).https://education.ti.com/en/activity/detail/the-logarithmic-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
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
"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
Simple Harmonic Motion
Students explore simple harmonic motion in terms of the motion on a swing. Students derive the defining formulas - first, beginning with the trigonometric relationship between time and displacement, and differentiation to the form for acceleration, and then by integration from acceleration back t...https://education.ti.com/en/activity/detail/simple-harmonic-motion
Integration By Substitution
Students explore methods for computing integrals of functions that are not in one of the standard forms.https://education.ti.com/en/activity/detail/integration-by-substitution
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
The Area Between
Students find the area between two curves while determining the required amount of concrete needed for a winding pathway and stepping stones.https://education.ti.com/en/activity/detail/the-area-between
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