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Triangle Midsegment Exploration

The activity has the students investigate the relationship of the midsegment to the third side of the triangle. In addition the students investigate the area of the smaller triangles compared to the larger one and uses the results to solve the "campground" problem. There is a set of follow-up q...
https://education.ti.com/en/activity/detail/triangle-midsegment-exploration

Paths of Rectangles

This exploration for preservice teachers, looks at how the lengths of the sides of rectangles with equal areas are related. The rectangles are constructed so that one vertex is at the origin. The path of the opposite vertex is an example of indirect variation and demonstrates a connection between...
https://education.ti.com/en/activity/detail/paths-of-rectangles

Parallel Lines and Angles

Students will use TI-Nspire technology to investigate the relationships between two corresponding angles and between two alternate interior angles. At the end of this activity, students should be able to discover that if two parallel lines are cut by a transversal the pairs of corresponding angle...
https://education.ti.com/en/activity/detail/parallel-lines-and-angles

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

Proportional Segments

The purpose of this activity is to investigate the relationship between segments formed by drawing a line parallel to one side of a triangle or by drwing and angle bisector of one the angles.
https://education.ti.com/en/activity/detail/proportional-segments

Diameter and Circumference Relationship

A short activity that helps to demonstrate the relationship between diameter and circumference.
https://education.ti.com/en/activity/detail/diameter-and-circumference-relationship

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

Properties of Parallel Lines

This activity is designed to incorporate the TI-Nspire Navigator system to provide a paperless activity. Students will investigate the relationships formed when two parallel lines are cut by a transversal. They will make observations from angle measurements. This is a great activity for beginn...
https://education.ti.com/en/activity/detail/properties-of-parallel-lines

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

Cell Phone Towers

In this activity students explore the locus of a point that is located twice as far from a given point A as it is from given point B. The locus is Apollonius circle. Students discover that the locus is a circle and then prove it. The key property: If a ray bisects an angle of a triangle, then it ...
https://education.ti.com/en/activity/detail/cell-phone-towers

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

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

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

Logic

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

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

The Pirate Problem

The classic geometry problem developed in 1947 by George Gamow comes alive with the interactive platform of TI-Nspire. Will the treasure still be found after the palm tree in the treasure map disappears? What begins with inductive reasoning ends with a formal proof. This lesson, easily adapte...
https://education.ti.com/en/activity/detail/the-pirate-problem

The Lunes of Hippocrates

In this activity, students will explore a figure that involves lunes - the area enclosed between arcs of intersecting circles. When lunes are constructed on the sides of a right triangle, an interesting result occurs.
https://education.ti.com/en/activity/detail/the-lunes-of-hippocrates_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

Special Angles formed by Parallel Lines

This activity will help students see the relationship among the angles formed by two parallel lines and the transversal cuts through the lines.
https://education.ti.com/en/activity/detail/special-angles-formed-by-parallel-lines

How far do you live from school?

Prior to this activity students determine how far they live from school and how long it takes them to get to school. They analyze this data using various types of graphs and draw conclusions regarding the relationship between time and distance. They also look at zip codes and explore factors that...
https://education.ti.com/en/activity/detail/how-far-do-you-live-from-school