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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

Polygons - Diagonals

Students will investigate the number of diagonals in each polygon with three through ten sides, then develop a formula for the relationship between the number of sides and the number of diagonals of the polygons. Some prior familiarity with constructing segments and basic functions of the TI-Nsp...
https://education.ti.com/en/activity/detail/polygons--diagonals

Proof by Counterexample of the SSA and AAA Cases

Students will use the geometry functions of the Nspire to create triangles with SSA and AAA details. Then these counterexamples are used to disprove possible SSA and AAA conjectures.
https://education.ti.com/en/activity/detail/proof-by-counterexample-of-the-ssa-and-aaa-cases

Limits of Functions

Investigate limits of functions at a point numerically.
https://education.ti.com/en/activity/detail/limits-of-functions

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

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

Growing Patterns

This lesson involves using pattern growth to construct functions.
https://education.ti.com/en/activity/detail/growing-patterns

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

Domain and Range of Exponential Functions

Determine the domain and range of an exponential function f(x) = bx.
https://education.ti.com/en/activity/detail/domain-and-range-of-exponential-functions

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

Back In Time?

Students will explore the definition of a function through use of a graph, a set of ordered pairs, and an input-output diagram.
https://education.ti.com/en/activity/detail/back-in-time_1

Transformations of Functions 1

This lesson investigates vertical and horizontal translations of a function.
https://education.ti.com/en/activity/detail/transformations-of-functions-1

Transformations of Functions 2

Investigate vertical stretches and reflections through the x-axis of a function.
https://education.ti.com/en/activity/detail/transformations-of-functions-2

Definition of Functions

This lesson involves examining relationships and functions and their inputs, outputs, domains, and ranges.
https://education.ti.com/en/activity/detail/definition-of-functions

Helping students learn how to use built-in functions on the TI nspire

Students will follow step-by-step directions to become familiar with how to use the TI nspire's built in functions. Tutorial includes converting to decimal, approximating fractions, finding remainders, finding LCM, using factorials, creating mixed numbers, and factoring numbers to their prime fac...
https://education.ti.com/en/activity/detail/helping-students-learn-how-to-use-builtin-functions-on-the-ti-nspire

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

The First Fundamental Theorem of Calculus

Make visual connections between a function and its definite integral.
https://education.ti.com/en/activity/detail/the-first-fundamental-theorem-of-calculus_1

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

Solids of Revolution

Students will investigate 3D visualizations of volumes created by rotating a function about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental theo...
https://education.ti.com/en/activity/detail/solids-of-revolution

Too Many Choices!

Students investigate the fundamental counting principle, permutations, and combinations.
https://education.ti.com/en/activity/detail/too-many-choices_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

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