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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 originally made by Lauren Jensen.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

Absolute Value

This lesson involves the family of absolute value functions of the form f(x) = a |x + c| + b.
https://education.ti.com/en/activity/detail/absolute-value

Verifying Trigonometric Identities

The student will look at the different tools needed to verify trigonometric identitites including reciprocals, cofunctions, quotient, and Pythagorean identities. Students will also be introduced to the "Hexagon".
https://education.ti.com/en/activity/detail/verifying-trigonometric-identities

400 Meter World Records

Student will find the Med/Med line equation for the world records in the men's 400 meter dash from 1912 to 2000. Students will use scatter plots to graph the list they have typed into a spreadsheet, Students will use the handheld to get answers for work that is required to solve the problem. The...
https://education.ti.com/en/activity/detail/400-meter-world-records

Graphs of Tangent, Cotangent, Secant, and Cosecant

The goal of this activity is for students to see how the graphs of tangent, cotangent, secant, and cosecant are generated and related to the unit circle. A point is animated around the unit circle as data points are captured to create a scatter plot. Students discover a way to relate each of th...
https://education.ti.com/en/activity/detail/graphs-of-tangent-cotangent-secant-and-cosecant

Transformations of Logarithmic Functions

This lesson involves the family of logarithmic functions of the form f(x) = c*logb(x+a).
https://education.ti.com/en/activity/detail/transformations-of-logarithmic-functions

Graph Sine and Cosine

Student will use the unit circle coordinates and angles to create the data that they will use to graph the sine and cosine functions and show the data is on the graph of them. The students will move a point in a graph to manually collect the data needed to make the graph. They will edit spreads...
https://education.ti.com/en/activity/detail/graph-sine-and-cosine

Particle Motion 2

This lesson involves the motion of a particle along a straight, horizontal line associated with a general position function.
https://education.ti.com/en/activity/detail/particle-motion-2

The Slope of the Curve Where Two Points Meet

Students will enter a function and investigate the slope of the secant as it moves closer to becoming a tangent.
https://education.ti.com/en/activity/detail/the-slope-of-the-curve-where-two-points-meet

Parameters in Secondary School: Logistics Functions

Designed for prospective secondary mathematics teachers, this activity has students predict, test and justify the effects of changing parameters d and b for the logistic function family given by f(x) = a/(1+b(e)^(cx)) + d. Reflection questions draw attention to the role of claims and evidence, in...
https://education.ti.com/en/activity/detail/parameters-in-secondary-school-logistics-functions

The Function Elevator

This lesson involves creating and comparing graphical representations of position and velocity functions from a scenario.
https://education.ti.com/en/activity/detail/the-function-elevator

Compound Interest

This lesson involves exploring the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year.
https://education.ti.com/en/activity/detail/compound-interest

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

Application of Function Composition

Determine the domain and range of two functions and the composite functions.
https://education.ti.com/en/activity/detail/application-of-function-composition

Radio Station KTNS

This lesson involves determining the distance one can hear a radio station as a function of the range of the station.
https://education.ti.com/en/activity/detail/radio-station-ktns

End Behavior of Polynomial Functions

Students will use a slider to scroll through the graphs of power functions with a coefficient of positive and negative 1 and determine similarities and differences among the functions. Students will generalize the end-behavior properties of various power functions.
https://education.ti.com/en/activity/detail/end-behavior-of-polynomial-functions