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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

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

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

2020 Virtual T³IC Session: FUNctional Art: Pulling It All Together - Connecting Art and Math (TI-Nspire™ App for iPad®)

2020 Virtual T³IC Session: FUNctional Art: Pulling It All Together - Connecting Art and Math (TI-Nspire™ App for iPad®) webinars website T³™ Professional Development | For Teachers and Teams | Online Le...
https://education.ti.com/en/t3-professional-development/for-teachers-and-teams/online-learning/on-demand-webinars/2020/may-7-2020-t3ic-virtual-connecting-art-and-math-ipad

Extending the Functionality of Your TI-84 Plus Graphing Calculator with Apps

Extending the Functionality of Your TI-84 Plus Graphing Calculator with Apps webinars website T³™ Professional Development | For Teachers and Teams | Online Learning | On Demand T³™ Webinars ...
https://education.ti.com/en/t3-professional-development/for-teachers-and-teams/online-learning/on-demand-webinars/2016/extending-the-functionality-of-your-ti-84-plus-graphing-calculator-with-apps

AP® Calculus | AB3/BC3 2019 Module | Texas Instruments

Ready students for AP® Calculus exams. Apply knowledge of derivatives, definite integrals, and Fundamental Theorem of Calculus. Get videos and calculator tips. AP® Calculus | AB3/BC3 2019 Module | Texas Instruments apcalculus website ...
https://education.ti.com/en/resources/ap-calculus/fundamental-theorem-of-calculus/sequence3/2019-ab3-bc3

AP® Calculus | AB1 2020 Module | Texas Instruments

Find sample questions from past AP® Calculus AB exams applying the Fundamental Theorem of Calculus. Explore videos, calculator tips and more. Get started. AP® Calculus | AB1 2020 Module | Texas Instruments apcalculus website ...
https://education.ti.com/en/resources/ap-calculus/fundamental-theorem-of-calculus/sequence4/2020-ab1

Inverse Functions on the TI-84 Plus CE | Texas Instruments

... Equation for an inverse function to calculate temperature. Typically, when teaching math lessons, we teach skills first and then present applications. However, when teaching inverse functions, I prefer to start the lesson by introducing an application of inverse functions as a means ...
https://education.ti.com/en/bulletinboard/2023/investigating-inverse-functions-ti-84-plus-ce

Square Root Spiral and Function Graphs

In this activity, students will investigate the spiral formed by square roots of consecutive numbers, numerical approximations for square roots, the plot of the square root spiral arm lengths, and the graph of the square root function.
https://education.ti.com/en/activity/detail/square-root-spiral-and-function-graphs

Helping students learn how to use built-in functions on the TI nspire

Students will follow step-by-step directions to become familiar with how to use the TI nspire's built in functions. Tutorial includes converting to decimal, approximating fractions, finding remainders, finding LCM, using factorials, creating mixed numbers, and factoring numbers to their prime fac...
https://education.ti.com/en/activity/detail/helping-students-learn-how-to-use-builtin-functions-on-the-ti-nspire

MacLaurin Polynomials

Students will use TI-Nspire technology to explore MacLaurin polynomials. They will develop polynomials that approximate very special functions.
https://education.ti.com/en/activity/detail/maclaurin-polynomials_1

Exploring Inverse Functions

Students will investigate the fundamental concept of an inverse, generate the inverse graphs of relations applying this concept, and algebraically determine the inverse.
https://education.ti.com/en/activity/detail/exploring-inverse-functions

Solids of Revolution

Students will investigate 3D visualizations of volumes created by rotating a function about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental theo...
https://education.ti.com/en/activity/detail/solids-of-revolution

Investigating Logistic Functions and Applications

Students will investigate the graphs of logistic functions, function characteristics, and solving logistic equations in Problem 1. Application problems that are modeled by logistic functions are completed in Problem 2-4. This activity is appropriate for Algebra II or Precalculus.
https://education.ti.com/en/activity/detail/investigating-logistic-functions-and-applications

Unit Circle

Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.
https://education.ti.com/en/activity/detail/unit-circle_1

The Unit Circle

Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.
https://education.ti.com/en/activity/detail/the-unit-circle

Quadratic Functions and Stopping Distance

Analyze data in real-life applications of the quadratic function.
https://education.ti.com/en/activity/detail/quadratic-functions-and-stopping-distance

Rational Roots of Polynomial Functions

In this activity, students apply the Rational Root Theorem in determining the rational roots of 4 polynomial functions. Results of the application of the theorem are compared to results obtained graphically to identify the presence of irrational roots.
https://education.ti.com/en/activity/detail/rational-roots-of-polynomial-functions

When Is Tangent, tangent?

This activity combines the ideas of unit circle, and a line tangent to the unit circle to explain how Tangent (the trig. ratio) is related to the concept of tangent to a figure (from geometry). The intent is to briefly explore the mathematical history of the trigonometric ratio "tangent" through ...
https://education.ti.com/en/activity/detail/when-is-tangent-tangent

Trigonometric Transformations

Students will use a slider to animate the graphing of a function of time that models the height of a capsule on the London Eye observation wheel as the wheel turns. Students will discover the concepts of amplitude, frequency, period, and midline. Students will create an appropriate equation to mo...
https://education.ti.com/en/activity/detail/trigonometric-transformations

Introduction to Absolute Value

Students numerically explore absolute values using the calculator, plot points to graph y = |x|, and use the Transform application to perform transformations with absolute value functions.
https://education.ti.com/en/activity/detail/introduction-to-absolute-value_1

Radical Transformations

Students will use the Transformational Graphing application to examine how the square root function is transformed on the coordinate plane.
https://education.ti.com/en/activity/detail/radical-transformations

Exploring Quadratic Data

Students will analyze the vertex form of a parabola and find an approximate fit of a model. They will study the quadratic function (parabola) and its properties by developing quadratic models. They also use translation and dilation to change the general parabola.
https://education.ti.com/en/activity/detail/exploring-quadratic-data

Ratio of Areas

In this activity, students use the CellSheet™ Application to determine geometric ratios of areas. Students determine the position of the vertices of a square that has all four vertices on the sides of a larger square and has a specified area. They also learn how quadratic functions can model geom...
https://education.ti.com/en/activity/detail/ratio-of-areas