Continuity and Differentiability of Functions
Students will manipulate piecewise functions to make them continuous. Once students create a continuous function, they will calculate derivatives to determine if the function is also differentiable.https://education.ti.com/en/activity/detail/continuity-and-differentiability-of-functions
Concavity
Examine the relationship between the first and second derivative and shape of a function.https://education.ti.com/en/activity/detail/concavity
Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its derivative function.https://education.ti.com/en/activity/detail/derivative-grapher
Derivative Function
Transition from thinking of the derivative at a point to thinking of the derivative as a function.https://education.ti.com/en/activity/detail/derivative-function
Derivatives of Trigonometric Functions
Students will use the graph of the sine function to estimate the graph of the cosine function. They will do this by inspecting the slope of a tangent to the graph of the sine function at several points and using this information to construct a scatter plot for the derivative of the sine. Students...https://education.ti.com/en/activity/detail/derivatives-of-trigonometric-functions
Average Value
Examine areas as integrals and as rectangles for given functions.https://education.ti.com/en/activity/detail/average-value
Area Function Problems
Understand the relationship between the area under a derivative curve and the antiderivative function.https://education.ti.com/en/activity/detail/area-function-problems
Inflection Points
Students investigate points of inflection on a function and its first and second derivatives, and discover how they relate to each other.https://education.ti.com/en/activity/detail/inflection-points
Inverse Derivative
Visualize the reciprocal relationship between the derivative of a function and the derivative of its inverse.https://education.ti.com/en/activity/detail/inverse-derivative
Extrema
Students will learn how to find and label extrema using first and second derivatives, be able to inspect a graph and determine which extrema the function has, and be able to use Trace, fMin, and fMax to verify the computed answers and find critical values for parametric functions.https://education.ti.com/en/activity/detail/extrema
First Derivative Test
Visualize the connections between the first derivative of a function, critical points, and local extrema.https://education.ti.com/en/activity/detail/first-derivative-test
Exponential Functions and the Natural Logarithm
Discover a surprising property involving the relative growth rate of an exponential function.https://education.ti.com/en/activity/detail/exponential-functions-and-the-natural-logarithm
Making Hay While the Sun Shines & Not Losing It in the Rain (The Geometry of the Big Round Bale)
This activity explores the volume of the hay bale and the percent of loss as the radius of the bale decreases. The extension collects data from the constructed cylinder in a spreadsheet and graphs it. The graphs are modeled with quadratic functions and transformations of quadratic functions can...https://education.ti.com/en/activity/detail/making-hay-while-the-sun-shines--not-losing-it-in-the-rain--the-geometry-of-the-big-round-bale
Exploring Vertical Asymptotes
Students will be able to determine the domain of rational functions, use algebraic concepts to determine the vertical asymptotes of a rational function, determine the removable discontinuities of a rational function, and describe the graph of a rational function given the equation.https://education.ti.com/en/activity/detail/exploring-vertical-asymptotes
Quadratic Unit Activity #1: Graphing a Parabola
This is the first activity in a series on vertex form of a quadratic for algebra I. This introduces the 'squaring' function.https://education.ti.com/en/activity/detail/quadratic-unit-activity-1-graphing-a-parabola
Quadratic Unit Activity #2: What's the Equation? Quadratic Functions
This is the second activity for the Quadratic Unit. This activity allows students to use sliders to match various quadratic functions in vertex form.https://education.ti.com/en/activity/detail/quadratic-unit-activity-2-whats-the-equation-quadratic-functions
Quadratic Unit Activity #7: Angry Birds
All the files in this unit are steps to the final activity-Angry Birds. Students are to find the values for a, b, and c in the vertex form of a quadratic function.https://education.ti.com/en/activity/detail/quadratic-unit-activity-7-angry-birds
Dinner Party
Students investigate the total cost of a private party at three restaurants and then model the cost of a party at each restaurant with the graph of a linear function.https://education.ti.com/en/activity/detail/dinner-party_1
Printing Your Own Books - is it more cost effective?
In this activity, students will create functions based on real-life scenarios, fill out a table of values, and critically analyze characteristics of graphs.https://education.ti.com/en/activity/detail/printing-books
Inscribed Regular Polygons
Students will calculate the changing area and perimeter of inscribed polygons as the number of sides increase. The measurements will be recorded in a spreadsheet for analysis. Students will be learning to use the measurement tools and the Hide/Show function of the TI-Nspire. Students will be aske...https://education.ti.com/en/activity/detail/inscribed-regular-polygons
Walk the Line
In this activity, students will be introduced to the CBR 2 motion sensor and the Vernier DataQuest™ app. They will collect and analyze both linear and non-linear data.https://education.ti.com/en/activity/detail/walk-the-line
Algebra Nomograph
This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find th...https://education.ti.com/en/activity/detail/algebra-nomograph
Exploring Functions
Students will explore functions and identify domain and range using graphs, equations, and function tables. This activity was created for students who have had a lesson of functions and have some basic knowledge of TI-Nspire technology.https://education.ti.com/en/activity/detail/exploring-functions
Examining Patterens in a Table, Function Rule, and Graphs
In this activity, students will identify characteristics of proportional and non-proportional linear relationships by examining patterns in a table, function rules, and a graph. Students will distinguish between proportional and non-proportional relationships by comparing patterns in table, funct...https://education.ti.com/en/activity/detail/examining-patterens-in-a-table-function-rule-and-graphs
Maximums, Minimums, and Zeroes
Determine when a function has a maximum or minimum based on the derivative of the function.https://education.ti.com/en/activity/detail/maximums-minimums-and-zeroes