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Secant Angle Investigation

This activity will allow students to discover the relationship between the secant angle and the corresponding central angles.
https://education.ti.com/en/activity/detail/secant-angle-investigation

Putting limits on Pi

This activity has the students calculate the perimeter of inscribed and circumscribed regular polygons about a circle and then use the calculated values to determine pi.
https://education.ti.com/en/activity/detail/putting-limits-on-pi

Transformations With Lists

Students use list operations to perform reflections, rotations, translations and dilations on a figure, and graph the resulting image using a scatter plot.
https://education.ti.com/en/activity/detail/transformations-with-lists_1

Perpendicular Bisector

In this activity, students will explore the perpendicular bisector theorem and discover that if a point is on the perpendicular bisector of a segment, then the point is equidistant from the endpoints. This is an introductory activity, where students will need to know how to change between pages, ...
https://education.ti.com/en/activity/detail/perpendicular-bisector_1

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

Transformations: Reflections and Rotations

This activity is designed to be used in a middle-school or high-school geometry classroom. An understanding of labeling points in the coordinate plane is necessary. This is an exploration using reflections to move a polygon about the coordinate plane.
https://education.ti.com/en/activity/detail/transformations--reflections-and-rotations

Transformations: Rotations

Explore clockwise and counterclockwise rotations to discover the properties of the pre-image and image of a triangle.
https://education.ti.com/en/activity/detail/transformations-rotations

Transformations: Rotations

Explore clockwise and counterclockwise rotations to discover the properties of the pre-image and image of a triangle.
https://education.ti.com/en/activity/detail/transformations-rotations_1

Parallel Lines and Angles

Students will use TI-Nspire technology to investigate the relationships between two corresponding angles and between two alternate interior angles. At the end of this activity, students should be able to discover that if two parallel lines are cut by a transversal the pairs of corresponding angle...
https://education.ti.com/en/activity/detail/parallel-lines-and-angles

Parallel Lines and the Transversals that Cross Them!

Students will explore the relationships between angles formed by parallel lines crossed by transversals. While there are other activities that may address similar topics, the questions presented to students in this activity bring a fresh perspective to student discovery.
https://education.ti.com/en/activity/detail/parallel-lines-and-the-transversals-that-cross-them

"Picking" Your Way Through Area Problems

Students will discover Pick's Theorem by finding the relationship between area and the number of boundary points and interior points of a lattice polygon.
https://education.ti.com/en/activity/detail/picking-your-way-through-area-problems

Applications of Critical Points

Students will examine the relationship between critical points and local extrema through real-world examples. Students will zoom in on the critical points to see if the curve becomes linear to determine if the function is differentiable at the critical point. They will then discover that the sign...
https://education.ti.com/en/activity/detail/applications-of-critical-points

Equations of a Circle

In this activity, the students can be partnered up and will discover how the equation of a circle changes when you move the circle around the coordinate plane.
https://education.ti.com/en/activity/detail/equations-of-a-circle

Properties of Parallelograms

Students will manipulate parallelograms to discover the relationships between the sides, angles, and diagonals of parallelograms.
https://education.ti.com/en/activity/detail/properties-of-parallelograms_7

Equations of Circles

This activity will enable the student to discover BOTH equations of a circle. The Nspire activity will show three different interactive circles: the first with only the radius able to be manipulated, the second with only the center and the third with both. While the student works with both the ...
https://education.ti.com/en/activity/detail/equations-of-circles

Properties of Quadrilaterals

The students will investigate the properties of a parallelogram, rhombus, rectangle, square, kite, trapezoid, and isosceles trapezoid by using the measurement tools of the TI-Npsire. The students will record their results on the chart. The time for the activity will vary based on the ability of...
https://education.ti.com/en/activity/detail/properties-of-quadrilaterals

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

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

Discovering the Circumcenter and Centroid of a Triangle

The students will find the circumcenter by constructing perpendicular bisectors of the sides of a triangle. They will also find the centroid by constructing the medians of a triangle and discover that the centroid is 2/3 of the distance from each vertex along each median.
https://education.ti.com/en/activity/detail/discovering-the-circumcenter-and-centroid-of-a-triangle

Points of Concurrency in Triangles

In this activity, students will use their Nspire handhelds to discover the different points of concurrencies in triangles. The students will take advantage of the dynamic capabilities to discover the circumcenter, incenter, and centroid of triangles.
https://education.ti.com/en/activity/detail/points-of-concurrency-in-triangles

Polygons & Angles: Looking for Patterns

This activity explores the relationships of various polygons and their angles. This is a discovery lesson and leads students through data and asks them to make conjectures about the angles of a triangle, quadrilateral, and pentagon. This lesson explores interior angles, exterior angles, and as...
https://education.ti.com/en/activity/detail/polygons--angles--looking-for-patterns

Limits

Students will investigate finding the value of limits using graphical and numerical methods. Students will also learn that a limit can exist at points where there is a hole or removable discontinuity. The concept of left and right-sided limits will also be explored as well as some situations in w...
https://education.ti.com/en/activity/detail/limits

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

Exploring the Black Box of Quadrilaterals

The exploration will begin with students dragging the quadrilateral given to them about the screen. Initially, they will be asked to simply identify the quadrilateral's type by sight. This will require simply a visual recognition of the quadrilaterals parallelogram, rectangle, square, rhombus, ...
https://education.ti.com/en/activity/detail/exploring-the-black-box-of-quadrilaterals