To Infinity and Beyond
In this TI-Nspire activity, students will explore the limit of a function and how the behavior of the output value approaches , as the input value approaches a particular value.https://education.ti.com/en/activity/detail/to-infinity-and-beyond_ns
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
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
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
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
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 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