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Investigating the Derivatives of Some Common Functions

In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a function. They gather evidence toward some common derivative for...
https://education.ti.com/en/activity/detail/investigating-the-derivatives-of-some-common-functions

Graphing Relationships

In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn that the second derivative is positive when the graph is con...
https://education.ti.com/en/activity/detail/graphing-relationships

Order Pears

In this activity, students will interactively investigate ordered pairs. They will graphically explore the coordinates of a point on a Cartesian plane, identifying characteristics of a point corresponding to the coordinate. Students will plot ordered pairs of a function, list these in a table of ...
https://education.ti.com/en/activity/detail/order-pears_1

Zeros of a Quadratic Function Application

Students use quadratic functions to find the width of a deck surrounding a rectangular pool.
https://education.ti.com/en/activity/detail/zeros-of-a-quadratic-function-application

Find the Equation of the Line

Teachers and/or students will look at given information (two points, a point and a slope, a point and a parallel line, and a point and a perpendicular line) and have to find the linear function that works. As the activity is occuring on the calculator, the students have a worksheet to record the...
https://education.ti.com/en/activity/detail/find-the-equation-of-the-line

Quadratic Yoga: Transforming Quadratic Functions

Students will use the vertex form of a quadratic function to fit a graph to a given scatter plot. They will also graph functions given a transformation description.
https://education.ti.com/en/activity/detail/quadratic-yoga-transforming-quadratic-functions

Trigonometric Patterns

Students will use the unit circle to examine patterns in the six trigonometric functions.
https://education.ti.com/en/activity/detail/trigonometric-patterns

Here's Looking At Euclid

Students first use the familiar prime factorization method to calculate the GCD and LCM of two numbers. Second, they apply Euclid’s algorithm, an iterative process for finding the GCD, in conjunction with a formula for the LCM given the GCD. In order to use the algorithm, they must first grasp th...
https://education.ti.com/en/activity/detail/heres-looking-at-euclid

Sequence Investigation

In this activity, students will use a calculator page to create an arithmetic sequence. Through this they will learn some of the vocabulary of sequences. Then students will then use slider functionality to explore the effect of each variable in the formula of the nth term of an arithmetic sequenc...
https://education.ti.com/en/activity/detail/sequence-investigation_1

Position, Distance, Velocity

Provide a position function to "drive" the rectilinear (straight line) horizontal motion of an object.
https://education.ti.com/en/activity/detail/position-distance-velocity

MVT for Derivatives

The MVT relates the average rate of change of a function to an instantaneous rate of change.
https://education.ti.com/en/activity/detail/mvt-for-derivatives

Crossing the Asymptote

This lesson involves determining when the graph of a rational function crosses its horizontal asymptote.
https://education.ti.com/en/activity/detail/crossing-the-asymptote

Rational Functions

In this activity, students will discover, or re-discover, the connection between a rational function, transformations, and both vertical and horizontal asymptotes. 
https://education.ti.com/en/activity/detail/rational-functions_1

Comparing Exponential and Power Functions

Students will be able to use various graphical representations to determine which of two functions is greater for large values of x.
https://education.ti.com/en/activity/detail/comparing-exponential-and-power-functions

Identifying Sinusoidal Graphs

This lesson involves examining graphs, or partial graphs, of sinusoidal functions to determine the values of their parameters and to express them in various ways involving sine and cosine functions.
https://education.ti.com/en/activity/detail/identifying-sinusoidal-graphs

Stay Tuned Lab Sound Waveform Models

In this activity, students' will record the sound waveform of a tuning fork and analyze the waveform to determine frequency, period and amplitude information. They will model the waveform using trigonometric functions. This activity has been modified for TI-Nspire with the data in the activity file.
https://education.ti.com/en/activity/detail/stay-tuned-lab-sound-waveform-models

Would You Work For Me?

Expanding the Notion of Function Representation
https://education.ti.com/en/activity/detail/would-you-work-for-me

Products of Linear Functions

This lesson involves polynomial functions viewed as a product of linear functions.
https://education.ti.com/en/activity/detail/products-of-linear-functions

Polly, Want Some Division?

In this activity, students will use polynomial calculations to determine quotients and remainders when performing polynomial division using CAS commands. The Remainder Theorem is introduced and applied to identify roots or zeros and to determine function values. Graphs are incorporated to visuall...
https://education.ti.com/en/activity/detail/polly-want-some-division

Helicopter Bungee Jump

In this activity, students will observe a simulation of a record breaking bungee jump, consider a mathematical model of the height as a function of time, and take the derivative to determine points of interest like the minimum height, maximum velocity, acceleration, and maximum jerk. Students wil...
https://education.ti.com/en/activity/detail/helicopter-bungee-jump_1

Quadratic Connections

Students will investigate how the parameters a, b, and c for the function f(x) = ax^2+bx+c change its graph. In addition, first and second differences and their relationships to the values of a, b, and c are explored.
https://education.ti.com/en/activity/detail/quadratic-connections

Symmetric Secant

Investigate the symmetric secant line to provide an estimate for the derivative of a function at a point.
https://education.ti.com/en/activity/detail/symmetric-secant

Derivative Analysis

Associate the verbal language of function behavior with characteristics of the graph of the function.
https://education.ti.com/en/activity/detail/derivative-analysis

Exponential Transformations

Graph exponential functions and explore by making changes in the parameters.
https://education.ti.com/en/activity/detail/exponential-transformations

12 Days of Holiday Math Activities | Texas Instruments

...-84 Plus CE and TI-Nspire™ CX II graphing calculators. Check out all the free stickers 6. Jingle all the way with coding Grab the TI-Innovator™ Hub and get ready to embrace the holiday spirit with ...
https://education.ti.com/en/bulletinboard/2024/12-holiday-math-activities