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Concavity

Examine the relationship between the first and second derivative and shape of a function.
https://education.ti.com/en/activity/detail/concavity

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

Triangle Inequality Theorem

Given the measures of any three segments, will you always be able to make a triangle?
https://education.ti.com/en/activity/detail/triangle-inequality-theorem

Proving Angles Congruent

In this activity students will be introduced to proofs, including 2-column proofs, paragraph proofs and flow-proofs. They will also look at different diagrams to decide what the diagram is telling them and what they can infere. They will also look at complementary, supplementary, adjacent and v...
https://education.ti.com/en/activity/detail/proving-angles-congruent_1

Paths of Rectangles

This exploration for preservice teachers, looks at how the lengths of the sides of rectangles with equal areas are related. The rectangles are constructed so that one vertex is at the origin. The path of the opposite vertex is an example of indirect variation and demonstrates a connection between...
https://education.ti.com/en/activity/detail/paths-of-rectangles

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

Triangle Midsegments

Investigate the relationships between a triangle and the similar triangle formed by one of the triangle's midsegments.
https://education.ti.com/en/activity/detail/triangle-midsegments

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

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

The Tale of Two Tangents

This activity allows students to investigate the relationship between the angle formed by two tangents to a circle and the arcs they intercept.
https://education.ti.com/en/activity/detail/the-tale-of-two-tangents

Transformational Puppet

This activity allows students to practice their skills of reflecting on a line and translating on a vector. The instructions don't ask for creativity but students who finish early can enjoy being creative with this activity.
https://education.ti.com/en/activity/detail/transformational-puppet

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

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

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

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

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

Cyclic Quadrilaterals

Explore the relationship between chords of a circle and their perpendicular bisectors.
https://education.ti.com/en/activity/detail/cyclic-quadrilaterals

Diagonal Classification

This activity could be used as an assessment after a unit on special quadrilaterals. Students are given an unknown quadrilateral constructed with a given diagonal property. By dragging the vertices of the quadrilateral, students conjecture as to the names of the quadrilaterals that can be constru...
https://education.ti.com/en/activity/detail/diagonal-classification

Diameter and Circumference Relationship

A short activity that helps to demonstrate the relationship between diameter and circumference.
https://education.ti.com/en/activity/detail/diameter-and-circumference-relationship