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
Taylor Polynomial Examples
Taylor polynomials associated with five common functions.https://education.ti.com/en/activity/detail/taylor-polynomial-examples
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
Catching the Rays
Students will fit a sinusoidal function to a set of data. The data are the number of hours of daylight starting January 1st and collected on the first and sixteenth days of the months in Thunder Bay, Ontario, Canada.https://education.ti.com/en/activity/detail/catching-the-rays
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 originally made by Lauren Jensen.https://education.ti.com/en/activity/detail/can-you-make-my-graph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 CXhttps://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