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NASA - Weightless Wonder

In this activity, students explore quadratic functions through the real-world example of weightless flight and the gravitational pull of the earth on objects in orbit.
https://education.ti.com/en/activity/detail/nasa--weightless-wonder

Solution 11793: Unable to Graph Multiple Functions on the TI-83 Plus Family and TI-84 Plus Family Graphing Calculators.

...tiple functions on the TI-83 Plus Family and TI-84 Plus Family graphing calculator? In order to select additional graphs, the Transformation Graphing Application will need to be turned off on the TI-83 Plus Family and TI-84 Plus Family. Below are the steps to successfully turn off the Application...
https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/11793

Convergence of Taylor Series

A Taylor Series for a function becomes the function as the number of terms increases towards infinity.
https://education.ti.com/en/activity/detail/convergence-of-taylor-series

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

Definite Integral

Make visual connections between the definite integral of a function and the signed area between the function and the x-axis.
https://education.ti.com/en/activity/detail/definite-integral

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

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

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

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

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

Dog Days or Dog Years?

Students use ordered pairs, table of values, and a scatter plot to determine a function that represents real world data.
https://education.ti.com/en/activity/detail/dog-days-or-dog-years

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

Zeros of a Quadratic Function

Merge graphical and algebraic representations of a quadratic function and its linear factors.
https://education.ti.com/en/activity/detail/zeros-of-a-quadratic-function

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

Equations from Unit Rates

This lesson involves finding a linear equation and confirming the equation represents a proportional relationship with numeric values in ordered pairs or in functions tables.
https://education.ti.com/en/activity/detail/equations-from-unit-rates

Inverse Variation

Students explore multiple representations of the inverse variation function, beginning with a geometric representation (a rectangle with fixed area), and progressing to a table of values, an algebraic expression, and finally a graph.
https://education.ti.com/en/activity/detail/inverse-variation

Mean Value Theorem

Calculate slopes of secant lines, create tangent lines with the same slope, and note observations about the functions and slopes.
https://education.ti.com/en/activity/detail/mean-value-theorem_1

MacLaurin Polynomials

Students will use TI-Nspire technology to explore MacLaurin polynomials. They will develop polynomials that approximate very special functions.
https://education.ti.com/en/activity/detail/maclaurin-polynomials_1

Move Those Chains

In this activity, students will explore the Chain Rule. Students are asked to make a conjecture of the derivative of f(x) = (2x + 1)2 based on the Power Rule. They are then asked to graph their derivative function and compare it to the graph of f´(x). They will then examine "true" statements abou...
https://education.ti.com/en/activity/detail/move-those-chains

How Many Solutions?

Students graph systems of linear functions to determine the number of solutions. In the investigation, students are given one line and challenged to draw a second line that creates a system with a particular number of solutions.
https://education.ti.com/en/activity/detail/how-many-solutions