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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

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

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

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 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

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

Integration By Substitution

Students explore methods for computing integrals of functions that are not in one of the standard forms.
https://education.ti.com/en/activity/detail/integration-by-substitution_1

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

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

Possible Lengths of Sides of Triangles

The first problem in this activity has students explore the varying length of the third side of a triangle when 2 sides are given. They will discover that the length of the third side must be between the difference and the sum of the other 2 sides. The second problem extends this idea of the le...
https://education.ti.com/en/activity/detail/possible-lengths-of-sides-of-triangles

Exploring Midsegments of a Triangle

Students will discover the relationships between a midsegment of a triangle and its third side.
https://education.ti.com/en/activity/detail/exploring-midsegments-of-a-triangle

Chords of a Circle

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

Circle Geometry: Angles Formed by Intersecting Chords

This activity is intended to teach students about the rule associated with the angles formed by two chords intersecting within the circle and the intercepted arcs.
https://education.ti.com/en/activity/detail/circle-geometry-angles-formed-by-intersecting-chords

Balancing Act

Students will explore the centriod of a triangle. They will discover that it is the center of gravity. They will balance a cardboard triangle on the end of a pencil. Then they will construct the medians with folds and pencil. After students have seen that the center of gravity is the point ...
https://education.ti.com/en/activity/detail/balancing-act

Circle Geometry: Property of the Segments of Two Chords Intersecting within a Circle

Students will be able to discover the property of two chords segments intersecting within a circle. They will discover the rule about the segments geometrically, numerically, and graphically. Lesson will touch on line of best fit to explore the relationship between the segments of the two chords.
https://education.ti.com/en/activity/detail/circle-geometry-property-of-the-segments-of-two-chords-intersecting-within-a-circle

Congruent Triangles

This activity is intended to provide students with an opportunity to discover three methods of proving triangles congruent: SSS, SAS, and ASA.
https://education.ti.com/en/activity/detail/congruent-triangles_2

Approximating Pi -- Archimedes method

Students will be assigned different regular polygons to construct. They will then construct a circumscribed circle, measure diameter, circumference and perimeter. The measurements will be placed into a spreadsheet and the ratios of circumference/diameter and perimeter/diameter will be calculated.
https://education.ti.com/en/activity/detail/approximating-pi--archimedes-method

Angles & Chords in a Circle

This activity is designed to allow students to gain an understanding of the relationship between the arcs and angles 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/angles--chords-in-a-circle

Regular Polygons - Angle Measurements

Students will investigate the number of degrees in each polygon with three through ten sides, then develop a formula for the relationship between the number of sides and the sum of the measures of the degrees of the polygons.
https://education.ti.com/en/activity/detail/regular-polygons--angle-measurements

Rhombi, Kites, and Trapezoids

Students discover properties of the diagonals of rhombi and kites, and the properties of angles in rhombi, kites, and trapezoids.
https://education.ti.com/en/activity/detail/rhombi-kites-and-trapezoids_1

Supertall Skyscrapers

In this activity, students use their handhelds to measure scale drawings of famous “supertall” skyscrapers. They first check that the Sears Tower is drawn to scale and then use their measurements to calculate that scale. Next, they write and solve proportions to find the heights of other skyscrap...
https://education.ti.com/en/activity/detail/supertall-skyscrapers

Lines of Fit

This lesson involves informally fitting a straight line for a given data set that represents mean verbal and mathematics scores on SAT in 2004 across all 50 states and Washington, D.C.
https://education.ti.com/en/activity/detail/lines-of-fit

Direct Variation Continued: Pumpkins and Cars

This activity explores converting kilograms to pounds using the top heaviest pumpkins and finding various rates for hybrid cars.
https://education.ti.com/en/activity/detail/direct-variation-continued-pumpkins-and-cars