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Trains in Motion

Compare and contrast the motion of two objects and how it corresponds to distance as a function of time.
https://education.ti.com/en/activity/detail/trains-in-motion_1

Transformations of a Quadratic Function

Explore transformations of a quadratic function.
https://education.ti.com/en/activity/detail/transformations-of-a-quadratic-function

Charlotte Chase Activity

In this activity, students will create and analyze graphs and investigate how temperature and pressure are related.  
https://education.ti.com/en/activity/detail/charlotte-chase-activity

Texas Chase Activity

In this activity, students will look at g-forces and predicting the Sprint Cup champion using trend lines.
https://education.ti.com/en/activity/detail/texas-chase-activity

Inverse Variation

Students explore multiple representations of the inverse variation function, beginning with a geometric representation (a rectangle with fixed area), and progressing to a table of values, an algebraic expression, and finally a graph.
https://education.ti.com/en/activity/detail/inverse-variation

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

The Derivatives of Logs

Students will use the Chain Rule to find the derivative of more complex exponential and logarithmic functions.
https://education.ti.com/en/activity/detail/the-derivatives-of-logs

The Mean Value Theorem

Students are presented with a several examples of functions to discover the hypotheses and conclusion of the Mean Value theorem. They will explore the concept of continuity and differentiability as related to the Mean Value Theorem.
https://education.ti.com/en/activity/detail/the-mean-value-theorem

Assessing Normality

In this activity, students will learn four characteristics of a normal curve: the distribution is symmetric and mound-shaped; the mean and median are approximately equal; the distribution meets the 68-95.5-99.7 rule; and the normal probability plot is linear. They will use these to determine if a...
https://education.ti.com/en/activity/detail/assessing-normality

Volume by Cross Sections

Students will be introduced to 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_1

Exponential Growth

The purpose of this exploration is to investigate properties of exponential functions including the relationship between the graphical and algebraic forms of the functions.
https://education.ti.com/en/activity/detail/exponential-growth

Graphical Analysis

Students will analyze graphs of polynomials finding intervals over which the function is increasing or decreasing and positive or negative, as well as the function’s relative minimum and maximum values and x- and y-intercepts.
https://education.ti.com/en/activity/detail/graphical-analysis

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

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

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

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

Graphing Linear Equations

Students investigate how vertical transformations affect the graph and the equation of the line.
https://education.ti.com/en/activity/detail/graphing-linear-equations

Graphs of Linear Functions

Students investigate the connections between the points on a line and the equation of the line written in slope-intercept form.
https://education.ti.com/en/activity/detail/graphs-of-linear-functions

Horizontal and Vertical Lines

Examine the vertical and horizontal changes when moving from one point to another on a line.
https://education.ti.com/en/activity/detail/horizontal-and-vertical-lines

Compositions Graphically

Students will use graphs and tables to find compositions of functions. Two of the compositions presented in this activity represent real-world situations, which should aid in students understanding the concept of compositions.
https://education.ti.com/en/activity/detail/compositions-graphically

Composition of Functions

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

Why is the Sky Blue and When Will We Ever Use This?

Have you ever tried to come up with a real life example for a rational function with an exponent to the negative four? Have you ever wondered why the sky is blue? Here is a short example of the uses of a rational function.
https://education.ti.com/en/activity/detail/why-is-the-sky-blue-and-when-will-we-ever-use-this

Cybersecurity 4- What's Your Password?

Building on the concepts learned in Activity 3, students will learn about obfuscating passwords through a method known as “hashing.” This security function shows students how a plaintext password can be scrambled and encrypted by a hashing function, such as SHA-256, in such a way that...
https://education.ti.com/en/activity/detail/cybersecurity-4@-whats-your-password

Local Linearity

Students explore zooming in on various functions including piecewise functions.
https://education.ti.com/en/activity/detail/local-linearity

Martinsville Chase

In this activity, students will analyze attaching a wing to a Sprint Cup car.
https://education.ti.com/en/activity/detail/martinsville-chase