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Simple Harmonic Motion

With an example of the motion of a child on a swing, the activity begins with the trigonometric function between time and displacement and differentiates up to acceleration.
https://education.ti.com/en/activity/detail/simple-harmonic-motion_1

Second Derivative Grapher

Visualize the relationship between the graph of a function and the graph of its second derivative.
https://education.ti.com/en/activity/detail/second-derivative-grapher

Secant/Tangent Line Connection

Students will explore a real situation by minimizing the distance between two points on a secant line; ultimately making a connection to the slope of the tangent line and the difference quotient. Students will explore this graphically, numerically, and analytically. An extension at the end allo...
https://education.ti.com/en/activity/detail/secanttangent-line-connection

Solids Of Revolution Between Two Curves

Students will investigate 3D visualizations of volumes created by rotating two functions 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 t...
https://education.ti.com/en/activity/detail/solids-of-revolution-between-two-curves

Looking Normal

This lesson involves examining multiple samples taken from a single approximately normal population.
https://education.ti.com/en/activity/detail/looking-normal

Taylor Polynomial Examples

Taylor polynomials associated with five common functions.
https://education.ti.com/en/activity/detail/taylor-polynomial-examples

Somewhere in the Middle

In this activity, students will explore the Mean Value Theorem. Students will find out when the 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 MVT. Students will also test functions where the hy...
https://education.ti.com/en/activity/detail/somewhere-in-the-middle_1

Resampling

This lesson involves approximate sampling distributions obtained from simulations based directly on a single sample. The focus of the lesson is on conducting hypothesis tests in situations for which the conditions of more traditional methods are not met.
https://education.ti.com/en/activity/detail/resampling

Too Many Choices!

Students investigate the fundamental counting principle, permutations, and combinations.
https://education.ti.com/en/activity/detail/too-many-choices_1

Normal Probability Plot

This lesson involves creating a normal probability plot for several data sets involving height to examine the appearance of such plots when the distribution is approximately normal.
https://education.ti.com/en/activity/detail/normal-probability-plot

NASA - Maintaining Bone Mineral Density

In this activity students perform an appropriate test to determine the answer to the question "Is using the iRED exercise method significantly better than using the treadmill and bicycle in maintaining bone density?"
https://education.ti.com/en/activity/detail/nasa--maintaining-bone-mineral-density

Catching the Rays

Students will fit a sinusoidal function to a set of data. The data are the number of hours of daylight starting January 1st and collected on the first and sixteenth days of the months in Thunder Bay, Ontario, Canada.
https://education.ti.com/en/activity/detail/catching-the-rays

Cell Phone Range

Students will learn to identify the domain and range of various real-world step functions. They will graphically explore numerical data points and observe step functions. Open and closed points on a graph are investigated and discussed.
https://education.ti.com/en/activity/detail/cell-phone-range_1

Can You Make My Graph?

Students are to find the equations of graphs of trigonometric functions (using sine and cosine) and will also identify values for the amplitude, period, phase shift, and vertical shift. This activity is a modified version of the activity "What's the Equation?" originally made by Lauren Jensen.
https://education.ti.com/en/activity/detail/can-you-make-my-graph

Multiplicity of Zeros of Functions

Students will utilize graphs and equations of five polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis at these zeros or just touch the x-axis at the zeros. Then students will determine the degree of the polynomial functions and the effect the d...
https://education.ti.com/en/activity/detail/multiplicity-of-zeros-of-functions

Multiplication & Division of Functions

Students will determine the resulting functions produced from the multiplication and division of two functions. They will explore the graphical representation of the resulting function and support their algebraic solution by determining if the graphs coincide. Additionally, students will evaluate...
https://education.ti.com/en/activity/detail/multiplication--division-of-functions

Modeling Situations Using Piecewise Functions

In this activity, the students use piecewise functions to describe and model everyday situations.
https://education.ti.com/en/activity/detail/modeling-situations-using-piecewise-functions

Investigating the Sine Function

In this activity, students will use their Nspire handhelds to discover the different attributes of the graph of the sine function. The students will take advantage of the dynamic capabilities of this very unique handheld to explore the amplitude, period, and phase shift of the sine function grap...
https://education.ti.com/en/activity/detail/investigating-the-sine-function

Investigating Sine and Cosine Functions Graphically

Students will use Sliders on the TI-Nspire to change coefficients of the basic sine and cosine function. Students will investigate how the graph changes by looking at different coefficients. Students will also investigate the sine and cosine graphs by comparing intersection points. Download t...
https://education.ti.com/en/activity/detail/investigating-sine-and-cosine-functions-graphically

Inverse Trig Functions

This activity works backwards by giving students the inverse functions and having them discover how they relate to the original functions. By tracing along the inverse function, data is collected and then plotted on a statplot. The variables are then switched on the statplot. The new plot and ...
https://education.ti.com/en/activity/detail/inverse-trig-functions

Unit Circle

Students will use the unit circle to find the value of trigonometric functions of various angles. Students will find connections between the unit circle and the trigonometric functions sine and cosine.
https://education.ti.com/en/activity/detail/unit-circle_2

How to Save Functions and Take Derivatives

Saving Functions and Take Derivatives using Your Ti-Nspire CAS CX
https://education.ti.com/en/activity/detail/how-to-save-functions-and-take-derivatives

Investing in Your Future - Using Spreadsheets to Make Comparisons

This activity provides students the opportunity to make financial decisions based on different investment scenarios. Students will use the spreadsheet application of the TI-Nspire calculator to compare the results of investing in a certificate of deposit or a Money Market Account. Students will p...
https://education.ti.com/en/activity/detail/investing-in-your-future--using-spreadsheets-to-make-comparisons

Linear Equation Games Unit:Activity #1 Find The Rule Game

Students are to find equations of linear function from a table of values. There are two Find the Rule Game activities along with a Find the Rule Game for Point Slope.
https://education.ti.com/en/activity/detail/linear-equation-games-unitactivity-1-find-the-rule-game

Application of Maximum-Minimum Problems

Students will use a graphing approach to find the minimum costs of running a new line from a power station to a point on an island. Students will begin with a scaled drawing and follow the prompts. They will also manually collect data and find a curve of best fit.
https://education.ti.com/en/activity/detail/application-of-maximumminimum-problems