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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

Area of a Triangle Between Parallel Lines

This is an investigation of what happens to the area of a triangle when one vertex moves along a line parallel to the side opposite the vertex.
https://education.ti.com/en/activity/detail/area-of-a-triangle-between-parallel-lines

Building 3-D Initials with a Vanishing Point

Students will use a vanishing point for a one point perspective drawing of an initial of their choice.
https://education.ti.com/en/activity/detail/building-3d-initials-with-a-vanishing-point

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

Constructing a Pentagon, An Alternative Method

Use the TN-Nspire (OS 2.0) to construct a regular pentagon using lines, rays, line segments, and circles of various diameters. The characteristics of a regular pentagon are discussed and used to verify the construction meets the criteria of all sides being equal, and all angles being equal. The ...
https://education.ti.com/en/activity/detail/constructing-a-pentagon-an-alternative-method

Constructing Regular Polygons - Angles of Rotational Symmetry

This activity is designed to be used with the Geometry textbook "Math Connections - 2B" p. 295: #4
https://education.ti.com/en/activity/detail/constructing-regular-polygons--angles-of-rotational-symmetry

Angle-Side Relationships

Investigate some necessary conditions for creating a triangle.
https://education.ti.com/en/activity/detail/angleside-relationships

Angle-Side-Side Exploration

Does knowing two sides and a non-included angle of a triangle guarantee it is a unique triangle? This activity will allow students to discover the answer by moving a point on a triangle to determine if another triangle given the same sides and non-included angle is possible.
https://education.ti.com/en/activity/detail/anglesideside-exploration

Exterior Angle Sum Theorem

This activity illustrates the exterior angle sum theorem by taking regular polygons with an exterior angle constructed, one at each vertex, and pulling all the vertices together to show that all exterior angles form a circle.
https://education.ti.com/en/activity/detail/exterior-angle-sum-theorem

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

Congruent or Not?

In this activity, students will investigate whether AAA, SAS, ASA, or SSA relationship guarantee that two triangles are congruent or not. This is an exploratory activity where students will need to know how to change between pages, grab and move points, and measure lengths.
https://education.ti.com/en/activity/detail/congruent-or-not_1

Congruent Triangles - Conditions that Prove Congruency

Students will investigate what conditions are necessary to prove two triangles are congruent.
https://education.ti.com/en/activity/detail/congruent-triangles--conditions-that-prove-congruency

Are all Constructions Created Equal?

This activity is designed to give preservice teachers an introduction to the circle, compass and line tools in the Graphs & Geometry application of the TI-NSpire. The set of four investigations are designed to provide them with ideas on how to assess geometric constructions by identifying the dif...
https://education.ti.com/en/activity/detail/are-all-constructions-created-equal

Medians in a Triangle

Students will study medians and some of their properties. A median of a triangle connects a vertex of the triangle with the midpoint of the opposite side.
https://education.ti.com/en/activity/detail/medians-in-a-triangle

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

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

Angles in Polygons

This is a self-contained activity that is designed to incorporate the TI-Nspire Navigator system which provides for a paperless activity that can be easily managed during and after the class period. Students will investigate the relationships of the interior and exterior angles in a polygon. T...
https://education.ti.com/en/activity/detail/angles-in-polygons

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

Alternate Interior Angles

Explore the relationships of the angles formed when two parallel lines are cut by a transversal.
https://education.ti.com/en/activity/detail/alternate-interior-angles

Maximizing a Paper Cone's Volume

The net for a conical paper cup is formed by cutting a sector from a circular piece of paper. What sector angle creates a net that maximizes the cone's volume? In this activity students will build concrete models, measure the dimensions and calculate the volume. Next, students will use a const...
https://education.ti.com/en/activity/detail/maximizing-a-paper-cones-volume

Euler's Method

Dynamic graphical representation of Euler's method that can be plotted one step at a time.
https://education.ti.com/en/activity/detail/eulers-method

Angle and Perpendicular Bisectors in a Triangle

The students will examine where the perpendicular bisectors and angle bisectors of a triangle intersect. The students will circumscribe a circle around the triangle and will inscribe a circle within the triangle. There is a page at the end of each activity with the circle constructed if the s...
https://education.ti.com/en/activity/detail/angle-and-perpendicular-bisectors-in-a-triangle

Angle Relationships

In this activity, students explore the angle relationships that exist when two lines intersect. They begin by exploring vertical angles and linear pairs, and then expand their study to two lines and a transversal. They will see what relationships hold true when the two lines intersected by a tran...
https://education.ti.com/en/activity/detail/angle-relationships

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

Nested Similar Triangles

Discover the conditions that make triangles similar by moving the sides opposite the common angle in nested triangles.
https://education.ti.com/en/activity/detail/nested-similar-triangles