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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

Trigonometric Patterns

Students use the unit circle to examine patterns in the six trigonometric functions.
https://education.ti.com/en/activity/detail/trigonometric-patterns@84

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

Exponential Dice

This lesson involves using a simulation to generate data that can be modeled by exponential growth and decay functions.
https://education.ti.com/en/activity/detail/exponential-dice

Trig Ratios - IB

Students will use the handheld to discover the relationship between the trigonometric functions: sine, cosine and tangent and the side length ratios of a right triangle.
https://education.ti.com/en/activity/detail/trig-ratios_1

Parametrizing the Unit Circle

The purpose of this activity is to use parametric equations to "unwrap" the unit circle. This process will allow students to obtain the graph of the function y = sin(x).
https://education.ti.com/en/activity/detail/parametrizing-the-unit-circle

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

Solution 34858: Graphing Piecewise Functions on the TI-83 Plus and TI-84 Plus Family of Graphing Calculators.

Solution 34858: Graphing Piecewise Functions on the TI-83 Plus and TI-84 Plus Family of Graphing Calculators. Solution 34858: Graphing Piecewise Functions on the TI-83 Plus and TI-84 Plus Family of Graphing Calculators. global Solution 34858: Graphing Piecewise Functions on the TI-83...
https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/34858

One Sided Limits

Students will be given piecewise functions and asked to evaluate both the left-hand limit and the right-hand limit of the function as x approaches a given number, c. Using sliders, students will estimate the value of the missing variable that makes the left-hand limit and the right-hand limit equal.
https://education.ti.com/en/activity/detail/one-sided-limits_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

TI-84 Plus CE Python | Product Support | Texas Instruments

Explore the all-new TI-84 Plus CE Python graphing calculator with detailed specifications highlighting advanced functionality and capabilities. TI-84 Plus CE Python | Product Support | Texas Instruments global website ...
https://education.ti.com/en/products/calculators/graphing-calculators/ti-84-plus-ce-python/product-support

Transformations of Exponential Functions - Part 1

Students will explore the family of exponential functions of the form f(x) = c * b x+aand be able to describe the effect of each parameter on the graph of y = f(x).
https://education.ti.com/en/activity/detail/transformations-of-exponential-functions

Taylor Polynomials

Students learn to define a Taylor polynomial approximation to a function f of degree n about a point x = a. They also learn to graph convergence of Taylor polynomials. They use Taylor polynomials to approximate function values.
https://education.ti.com/en/activity/detail/taylor-polynomials_1

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

Exponential Transformations

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

Finite Differences

Investigate the sets of finite differences for linear and quadratic functions.
https://education.ti.com/en/activity/detail/finite-differences

Motorcycle Jump

Students will explore quadratic functions in the form of a motorcycle jumping off of a ramp. Students will maximize the height of the jump and the airtime of the jump.
https://education.ti.com/en/activity/detail/motorcycle-jump

Exploring Higher Degree Polynomials

Investigate graphical and algebraic representations of a polynomial function and its linear factors.
https://education.ti.com/en/activity/detail/exploring-higher-degree-polynomials

Modeling Probabilities

This activity approaches probability distributions as functions taking information about a dataset as inputs and outputting a set of probabilities. This is analogous to the familiar process of choosing a function to model a set of x-y pairs. Students use simulations to explore increasing number o...
https://education.ti.com/en/activity/detail/modeling-probabilities_1

Function or Relation?

In this activity, students will use graphs and lists to determine if sets of data represent functions or relations.
https://education.ti.com/en/activity/detail/function-or-relation_1