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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

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

Elevator: Height and Velocity

Introduce ideas related to rectilinear motion.
https://education.ti.com/en/activity/detail/elevator-height-and-velocity

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

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

Animating 3D Graphs With TI Nspire CAS (CX)

Demonstrates how to animate 3D graphs using your TI Nspire.
https://education.ti.com/en/activity/detail/animating-3d-graphs-with-ti-nspire-cas-cx

Properties of Special Quadrilaterals Exploration

Students are given a TI-Nspire file with special quadrilaterals so that they can use the dynamic measurement capabilities of the TI-Nspire to explore which properties always hold true for each quadrilateral.
https://education.ti.com/en/activity/detail/properties-of-special-quadrilaterals-exploration

Properties of Triangles

In this activity, students explore different types of triangles and find the interior and exterior angle sum to form a paragraph proof.
https://education.ti.com/en/activity/detail/properties-of-triangles

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

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 Special Right Triangles

In this acvtivity, a 30-60-90 degree triangle is constructed for the student to explore. The student is asked to construct a 60 degree angle to give them an understanding of the construction. They will drag the vertex of the triangle and collect sample data. After they collect the data it is us...
https://education.ti.com/en/activity/detail/exploring-special-right-triangles

Properties of Parallelograms

In this activity, students will discover the properties of a parallelogram. Students will measure various components of a parallelogram to make conjectures about its properties.
https://education.ti.com/en/activity/detail/properties-of-parallelograms

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

Exploring Parallel Lines and Angles

Students will explore the relationships between pairs of angles formed when two parallel lines are cut by a transversal. They will identify special pairs of angles, measure all the angles formed by two parallel lines cut by a transversal, and then look for patterns among the measures.
https://education.ti.com/en/activity/detail/exploring-parallel-lines-and-angles

Can I Make a Triangle?

This TI-Nspire activity is for the Triangle Inequality Theorem. There are 3 problems that contain 3 segments each. The student tries to make triangles with these segments. They compare the lengths of the shortest to the length of the longest to see if the inequality is true or false. For the...
https://education.ti.com/en/activity/detail/can-i-make-a-triangle

Angles of a Triangle

This activity explores the various relationships of the angles of a triangle. It starts with an interior angle and its corresponding exterior angle. Then the sum of the interior angles. Finally, the relationship between one exterior angle and its remote interior angles. The students are prov...
https://education.ti.com/en/activity/detail/angles-of-a-triangle_2

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

Classifying Quadrialterals

In this activity, students will classify quadrilaterals graphed on the Cartesian coordinate plane. Students will justify their classifications with segment and angle measurements as well as slope measurements. A review of the hierarchy of quadrilaterals is at the beginning of the document.
https://education.ti.com/en/activity/detail/classifying-quadrialterals

Arcs and Central Angles of Circles

Students discover the central angles of circles plus minor and major arcs.
https://education.ti.com/en/activity/detail/arcs-and-central-angles-of-circles

Lines with Transversals and Angle Pairs

Students will use the TI-Nspire file and record their answers on the Word worksheet. The TI-Nspire file has been created to allow students to explore and measure the relationships of angle pairs with and without parallel lines.
https://education.ti.com/en/activity/detail/lines-with-transversals-and-angle-pairs

Logic

This document reviews logical reasoning with problems on compound statements, conditional statements, and algebraic proofs.
https://education.ti.com/en/activity/detail/logic

Addition of Parts

This activity is a self-contained discussion of the topic of segment and angle addition and allows the teacher to focus on the flow of the class rather than explanation. Students will be able to work through this activity easily and reach usable conclusions on their own. Also, examples are prov...
https://education.ti.com/en/activity/detail/addition-of-parts

Making Hay While the Sun Shines & Not Losing It in the Rain (The Geometry of the Big Round Bale)

This activity explores the volume of the hay bale and the percent of loss as the radius of the bale decreases. The extension collects data from the constructed cylinder in a spreadsheet and graphs it. The graphs are modeled with quadratic functions and transformations of quadratic functions can...
https://education.ti.com/en/activity/detail/making-hay-while-the-sun-shines--not-losing-it-in-the-rain--the-geometry-of-the-big-round-bale