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Exploring the Geometric Means of a Right Triangle - When the Altitude to the Hypotenuse Is Drawn

Students will explore the concept of geometric mean and solve right triangle problems using geometric mean proportions. A TI-Nspire activity demonstrates interactively the geometric mean relationship, and an activity sheet applies the relationship to solve triangle problem. Most discussions of g...
https://education.ti.com/en/activity/detail/exploring-the-geometric-means-of-a-right-triangle--when-the-altitude-to-the-hypotenuse-is-drawn

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

Volume- IB

Students define right and oblique three dimensional figures and calculate the volume for prisms, pyramids, cylinders, and cones.
https://education.ti.com/en/activity/detail/volume_1

Volume

This is an activity that explores the volume formula for a prism, cylinder, cone, and pyramid. It also familiarizes students with the use of the Calculate tool.
https://education.ti.com/en/activity/detail/volume

Inverse Derivative

Visualize the reciprocal relationship between the derivative of a function and the derivative of its inverse.
https://education.ti.com/en/activity/detail/inverse-derivative

Corresponding Parts of Similar Triangles

Change the scale factor (r) between similar triangles; identify the corresponding parts and establish relationships between them.
https://education.ti.com/en/activity/detail/corresponding-parts-of-similar-triangles

Limits of Functions

Investigate limits of functions at a point numerically.
https://education.ti.com/en/activity/detail/limits-of-functions

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

Filling the Urn

Work with linked representations of the related rates of change of volume and height of fluid.
https://education.ti.com/en/activity/detail/filling-the-urn

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

Extrema

Students will learn how to find and label extrema using first and second derivatives, be able to inspect a graph and determine which extrema the function has, and be able to use Trace, fMin, and fMax to verify the computed answers and find critical values for parametric functions.
https://education.ti.com/en/activity/detail/extrema

First Derivative Test

Visualize the connections between the first derivative of a function, critical points, and local extrema.
https://education.ti.com/en/activity/detail/first-derivative-test

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

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

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

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

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

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 Hinge Theorems

Students will explore the inequality relationships that arise when some of the triangle congruence conditions are in place but others are not. The SAS Inequality Theorem and the SSS Inequality Theorem are often referred to as the Hinge Theorem and its converse. These two theorems concern inequali...
https://education.ti.com/en/activity/detail/the-hinge-theorems_1

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

Tangents to a Circle

Explore properties of tangent lines and how they differ from secant lines.
https://education.ti.com/en/activity/detail/tangents-to-a-circle

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

Secants, Tangents and Arcs

Explore the angle and arc relationships for two intersecting lines that intersect a circle.
https://education.ti.com/en/activity/detail/secants-tangents-and-arcs

Special Segments in Triangles

In this activity, students construct medians, altitudes, angle bisectors, and perpendicular bisectors of triangles. They then drag the vertices to see where the intersections of the segments lie in relation to the triangle, and they measure distances to identify relationships. They see that the i...
https://education.ti.com/en/activity/detail/special-segments-in-triangles_1

Balancing Equations

This lesson involves understanding what it means for an equation to be balanced in the process of solving linear equations with one variable.
https://education.ti.com/en/activity/detail/balancing-equations