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A Tale of Two Lines

Demonstrate a visual justification for l'Hôpital's Rule.
https://education.ti.com/en/activity/detail/a-tale-of-two-lines

3D Parametric

In this activity, students will review the concepts of parametric and polar equations. By using the 3D graphing capabilities of the TI-Nspire handheld, students will be able to extend these ideas to the area of solids of revolution, arc length and kinematics.
https://education.ti.com/en/activity/detail/3d-parametric

Discovering the Triangle Inequality Theorem with the TI-Nspire

Students progress through a series of investigations regarding the lengths of the sides of a triangle. This activity, for discovering the Triangle Inequality Theorem, can be used as either a teacher demonstration or as a classroom activity.
https://education.ti.com/en/activity/detail/discovering-the-triangle-inequality-theorem-with-the-tinspire

Creating Perpendicular Bisectors

Construct the perpendicular bisector of a line segment in several different ways and consider the role of circles in the construction.
https://education.ti.com/en/activity/detail/creating-perpendicular-bisectors

Properties of Trapezoids and Kites

Students investigate the properties of trapezoids, isosceles trapezoids, and kites by measuring sides and angles in the figures and by constructing and measuring the diagonals of the figures. By dragging vertices of each figure, they can make and test conjectures by seeing which properties hold t...
https://education.ti.com/en/activity/detail/properties-of-trapezoids-and-kites

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

Points, Lines, and Distance

Investigate the distance between two points, a point and a line, and two lines.
https://education.ti.com/en/activity/detail/points-lines-and-distance

Infestation to Extermination

Students investigate exponential growth and decay through the situation of infestation and extermination.
https://education.ti.com/en/activity/detail/infestation-to-extermination_1

Positive and Negative Angles and Arcs

Investigate the relationships among the angles of intersection of the two lines and the intercepted arcs using positive and negative angle and arc measures.
https://education.ti.com/en/activity/detail/positive-and-negative-angles-and-arcs

Exploring the Equation of a Circle

Explore right triangles and the Pythagorean Theorem to develop the equation of a circle.
https://education.ti.com/en/activity/detail/exploring-the-equation-of-a-circle

Exploring Limits of a Sequence

Perform numerical investigations of the limits of sequences and sum of a series. 
https://education.ti.com/en/activity/detail/limit-of-a-sequence

Triangle Sum Theorem

Investigate the special relationship of the angles of a triangle.
https://education.ti.com/en/activity/detail/triangle-sum-theorem

Calculator City

Students help Calculator City determine where to place the statue of Mr. Tex Instruments by finding the circumcenter and incenter of a triangle.
https://education.ti.com/en/activity/detail/calculator-city

Limits of Functions

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

Constructing a Pentagon, An Alternative Method

Use the TN-Nspire (OS 2.0) to construct a regular pentagon using lines, rays, line segments, and circles of various diameters. The characteristics of a regular pentagon are discussed and used to verify the construction meets the criteria of all sides being equal, and all angles being equal. The ...
https://education.ti.com/en/activity/detail/constructing-a-pentagon-an-alternative-method

Angle-Side Relationships

Investigate some necessary conditions for creating a triangle.
https://education.ti.com/en/activity/detail/angleside-relationships

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

Applications of Similar Figures

Students will identify corresponding parts of figures and use the definition of similar figures to solve real-world applications involving rectangles and triangles.
https://education.ti.com/en/activity/detail/applications-of-similar-figures

Are all Constructions Created Equal?

This activity is designed to give preservice teachers an introduction to the circle, compass and line tools in the Graphs & Geometry application of the TI-NSpire. The set of four investigations are designed to provide them with ideas on how to assess geometric constructions by identifying the dif...
https://education.ti.com/en/activity/detail/are-all-constructions-created-equal

Area Formulas

Explore the relationships among the area formulas for parallelogram and rectangles.
https://education.ti.com/en/activity/detail/area-formulas

Area Formulas

Explore the relationships among the area formulas for parallelogram and rectangles.
https://education.ti.com/en/activity/detail/area-formulas_1

Minimizing Surface Area of a Cylinder Given a Fixed Volume

Students will discover the relationship between radius and height of a cylinder so that surface area of a cylinder can be minimized while maintaining a fixed volume. This is just an introduction to a project that they will begin after this investigation. Once this is completed, they will redesig...
https://education.ti.com/en/activity/detail/minimizing-surface-area-of-a-cylinder-given-a-fixed-volume

Alternate Interior Angles

Explore the relationships of the angles formed when two parallel lines are cut by a transversal.
https://education.ti.com/en/activity/detail/alternate-interior-angles

Euler's Method

Dynamic graphical representation of Euler's method that can be plotted one step at a time.
https://education.ti.com/en/activity/detail/eulers-method

Angle Relationships

In this activity, students explore the angle relationships that exist when two lines intersect. They begin by exploring vertical angles and linear pairs, and then expand their study to two lines and a transversal. They will see what relationships hold true when the two lines intersected by a tran...
https://education.ti.com/en/activity/detail/angle-relationships