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
Applications of Similar Figures
Students will identify corresponding parts of figures and use the definition of similar figures to solve real-world applications involving rectangles and triangles.https://education.ti.com/en/activity/detail/applications-of-similar-figures
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
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
Area Formula Investigations
It's easy to just plug in the numbers without thinking, right? Even better, just use the calculator to find the area for you! Well, not today! Students will construct altitude and calculate the area of 5 geometric shapes using the measurement tools.https://education.ti.com/en/activity/detail/area-formula-investigations
Minimizing Surface Area of a Cylinder Given a Fixed Volume
Students will discover the relationship between radius and height of a cylinder so that surface area of a cylinder can be minimized while maintaining a fixed volume. This is just an introduction to a project that they will begin after this investigation. Once this is completed, they will redesig...https://education.ti.com/en/activity/detail/minimizing-surface-area-of-a-cylinder-given-a-fixed-volume
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
A Sprinkler System Activity for the TI-Nspire TouchPad
This lesson involves the student in constructing and then creating their own designs using circles to indicate water spray from sprinklers set to full, half, and quarter circle patterns. The students learn to appreciate the ART of Math in the designs created with the Nspire TouchPad. The students...https://education.ti.com/en/activity/detail/a-sprinkler-system-activity-for-the-tinspire-touchpad
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
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
Mystery Quadrilateral!
This activity could be used as an assessment after a unit on special quadrilaterals. Students are given an unknown mystery quadrilateral that looks like a square. By dragging the vertices of the mystery quadrilateral, students conjecture the true name of the quadrilateral. Students support their ...https://education.ti.com/en/activity/detail/mystery-quadrilateral
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
Triangle Sides & Angles
Students will explore side and angle relationships in a triangle. First, students will discover where the longest (and shortest) side is located relative to the largest (and smallest) angle. Then, students will explore the Isosceles Triangle Theorem and its converse. Finally, students will determ...https://education.ti.com/en/activity/detail/triangle-sides--angles
Triangle: Side Lengths and Angle Measures
The main purpose of this activity is to allow students to use TI-Nspire or TI-Nspire CAS to explore and decide which sides and angles of a triangle are the smallest and which are the largest.https://education.ti.com/en/activity/detail/triangle-side-lengths-and-angle-measures
The Geometric Mean
In this activity, students will establish that several triangles are similar and then determine that the altitude to the hypotenuse of a right triangle is the geometric mean between the segments into which it divides the hypotenuse.https://education.ti.com/en/activity/detail/the-geometric-mean_1
The Ladder Problem Revisited
In this activity students explore the locus of mid-point of the hypotenuse of a fixed length geometrically and algebraically and discover that the median a right triangle is equal to half the length of the hypotenuse. Students then prove this property. The problem: A ladder leans upright against ...https://education.ti.com/en/activity/detail/the-ladder-problem-revisited
Pythagorean Relationships
Investigate the triangles that can be formed using one side of three squares to build the triangle.https://education.ti.com/en/activity/detail/pythagorean-relationships
The Art Project
Students explore the locus of points in the interior of the right angle such that the sum of the distances to the sides of the angle is constant.https://education.ti.com/en/activity/detail/the-art-project
Reflections in Motion
Students will use reflected images of triangles to observe similarities retained under vertical and horizontal stretching and shrinking transformations.https://education.ti.com/en/activity/detail/reflections-in-motion
Supplements and Complements
The attached files contain a supplementary angle and complementary angle for students to explore. They are asked which point changes the measure of the angle. They can move various parts of the construction. The files are designed to be used with your current instructional materials.https://education.ti.com/en/activity/detail/supplements-and-complements
Taxicab Geometry
In this activity, students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab pe...https://education.ti.com/en/activity/detail/taxicab-geometry
Secants, Tangents, And Angle Measures
This activity is intended to be used as an interactive tool to help students learn about the relationships between the the angles and arcs formed with intersecting secant and tangent lines.https://education.ti.com/en/activity/detail/secants-tangents-and-angle-measures
Soap Warehouse: The Shortest Distance Between Stores
In this investigation we are going to determine the best place to build a warehouse so that it can service three stores with the least amount of travel.https://education.ti.com/en/activity/detail/soap-warehouse-the-shortest-distance-between-stores