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Segments and Chords in a Circle

This activity is designed to allow students an opportunity to gain an understanding of the relationship among the segment measures formed by intersecting chords in a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.
https://education.ti.com/en/activity/detail/segments-and-chords-in-a-circle

Continuity and Differentiability 2

Explore piecewise graphs and determine conditions for continuity and differentiability.
https://education.ti.com/en/activity/detail/continuity-and-differentiability-2

The Sprinkler and the Lawn

Students will apply the concepts of angle bisector, incenter of a triangle, and percentages to solve a real-world problem involving a circular sprinkler and a triangular-shaped lawn.
https://education.ti.com/en/activity/detail/the-sprinkler-and-the-lawn

Shortest Distance

Students will discover, through exploration, that the shortest distance from a point on a line to the origin is a measure of a perpendicular line segment. You will investigate this minimization problem and support the analytical explanations with interactive explorations.
https://education.ti.com/en/activity/detail/shortest-distance

The sum of the interior angles of regular polygons

The students will construct triangles within regular-sided polygons to determine the sum of the interior angles. They will then, using statistics, create a linear regression to determine the relationship between the number of sides of a regular polygon and the sum of its interior angles.
https://education.ti.com/en/activity/detail/the-sum-of-the-interior-angles-of-regular-polygons

Shortest Distances

Students will explore three situations involving distances between points and lines. First, the minimum distance between two points leads to the Triangle Inequality Theorem. Then, the shortest distance from a point to a line is investigated. Finally, students find the smallest total distan...
https://education.ti.com/en/activity/detail/shortest-distances

Transformtions and Tessellations

In this activity you will construct a variety of transformations. In Problem #1 you will create a reflection of a pentagon, in Problem #2 a translation of a regular hexagon, in Problem #3 a rotation of a quadrilateral in two ways, in Problem #4 a dilation of a triangle. In each case you will ob...
https://education.ti.com/en/activity/detail/transformtions-and-tessellations

Side Length, Perimeter, and Area of a Rectangle

Explore the effects of changing base (or height) of a rectangle on it's perimeter and area.
https://education.ti.com/en/activity/detail/side-length-perimeter-and-area-of-a-rectangle

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

Proving the Pythagorean Theorem - President Garfield's Proof

This is the same proof that is found on the TI-Exchange website for the 84 plus, but I modified it for the Nspire handhelds.
https://education.ti.com/en/activity/detail/proving-the-pythagorean-theorem--president-garfields-proof

Triangle Midsegment Exploration

The activity has the students investigate the relationship of the midsegment to the third side of the triangle. In addition the students investigate the area of the smaller triangles compared to the larger one and uses the results to solve the "campground" problem. There is a set of follow-up q...
https://education.ti.com/en/activity/detail/triangle-midsegment-exploration

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

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

Transformers

Students explore a special subset of the transformations of a square called the symmetry group.
https://education.ti.com/en/activity/detail/transformers

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

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

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

Average Value

Examine areas as integrals and as rectangles for given functions.
https://education.ti.com/en/activity/detail/average-value

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