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Graphs of Polynomial Functions

The activity begins by having students compare functions to introduce the concept of end behavior. Then they graph cubics and quartics, noting the respective end behaviors for positive and negative leading coefficients. Finally, they compare quadratics to quartics and cubics to quintics to discov...
https://education.ti.com/en/activity/detail/graphs-of-polynomial-functions

Is it Rare?

Students use the Poisson distribution to determine the probabilities for various numbers of hurricanes hitting the United States in a given year. Students will also explore the graph of the Poisson distribution and how it behaves.
https://education.ti.com/en/activity/detail/is-it-rare_1

One- and Two-Variable Statistics--Review

In this activity, students will review the concepts that they have learned thus far in statistics. The first part of the activity includes one-variable topics such as graphing quantitative variables, calculating measures of central tendency and spread, and making comparisons. The second part incl...
https://education.ti.com/en/activity/detail/one-and-twovariable-statisticsreview_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

Sign of the Derivative

Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.
https://education.ti.com/en/activity/detail/sign-of-the-derivative

Probability Simulations

Students use the random integer (randInt) command to simulate probability experiments. They also graph the number of trials and corresponding probabilities to observe the Law of Large Numbers. Simulated experiments involve tossing a coin, spinning a spinner, and observing the gender of children i...
https://education.ti.com/en/activity/detail/probability-simulations_1

Position and Piecewise Velocity

This lesson involves creating and comparing graphical representations of velocity and position based on real-life scenarios.
https://education.ti.com/en/activity/detail/position-and-piecewise-velocity

Cardioid Patterns - Discover Using Graphs

This activity will give students an opportunity to discover a pattern in the graphs of cardioids.
https://education.ti.com/en/activity/detail/cardioid-patterns--discover-using-graphs

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

Boats in Motion

Students make observations about the motion of a boat going up and down the river. They will solve the system of equations algebraically and graphically.
https://education.ti.com/en/activity/detail/boats-in-motion_1

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

Binomial Probability in Baseball

In this activity, students will explore the link between Pascal's Triangle, the Binomial Theorem, and binomial probability experiments.
https://education.ti.com/en/activity/detail/binomial-probability-in-baseball

Modeling Daylight Hours

Students are provided with data on the daylight hours for two Canadian cities measured three times per month in 2007. The student's task is to create graphical and algebraic models of the data and to interpret the meaning of each of the parameters in the algebraic models. The student will also ...
https://education.ti.com/en/activity/detail/modeling-daylight-hours

Investigation into the Sine Function

This activity leads the students through an investigation into the zeroes, domain and range of the sine graph. It continues investigating the transformations of the sine graph thus leading to the sinusoidal graph.
https://education.ti.com/en/activity/detail/investigation-into-the-sine-function

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

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

Linear Equation Games Unit: Activity #4 What's My Linear Equation

In this activity, students are given a graph and they are to find the values for the slope and y-intercept to create an equation that models the graph.
https://education.ti.com/en/activity/detail/linear-equation-games-unit-activity-4-whats-my-linear-equation

Lights Out: Periodic Phenomena

In this activity, students will use a light sensor to collect intensity data for fast and slow variations of intensities. They will then describe these variations using the concepts of period and frequency. This activity has been modified for TI-Nspire with the data and graphs within the activity...
https://education.ti.com/en/activity/detail/lights-out-periodic-phenomena

Linear Equation Games Unit: Activity #9 9 Ball Game

This activity provides a ‘9 Ball Pool Table’ on a graph page. Students are to begin the game by clicking on the ‘play’ button to start the animation of the pool balls. They move the 'cue' ball around and find equations that go through the 'cue' ball, another ball(s) and the hole.
https://education.ti.com/en/activity/detail/linear-equation-games-unit-activity-9-9-ball-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

It's All About Food Activity

This is a follow up activity to You Are What You Eat where students are comparing estimated calories versus actual calories and making conjectures based on their scatterplot graphs.
https://education.ti.com/en/activity/detail/its-all-about-food-activity