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
Angles and Similarity
Experiment with the measures of the angles of similar triangles to determine conditions necessary for two triangles to be similar.https://education.ti.com/en/activity/detail/angles-and-similarity
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 Flag Problem
Students explore the area of a triangle with the base being one of the legs of a right angled trapezoid, and an opposite vertex being a point on the other leg of the trapezoid.https://education.ti.com/en/activity/detail/the-flag-problem
Scale Factor Area Perimeter
Explore the relationship of perimeter and area in similar triangles when the scale factor is changed.https://education.ti.com/en/activity/detail/scale-factor-area-perimeter
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
Regular Polygons - Angle Measurements
Students will investigate the number of degrees in each polygon with three through ten sides, then develop a formula for the relationship between the number of sides and the sum of the measures of the degrees of the polygons.https://education.ti.com/en/activity/detail/regular-polygons--angle-measurements
The Lunes of Hippocrates
In this activity the students discover a property of this historical figure.https://education.ti.com/en/activity/detail/the-lunes-of-hippocrates
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 Magic of Central Angles
This activity allows students to investigate the relationship between central angles and the arcs they intercept.https://education.ti.com/en/activity/detail/the-magic-of-central-angles
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
Ratios of Similar Figures
Students explore the ratio of perimeter, area, surface area, and volume of similar figures in two and three dimensional figures.https://education.ti.com/en/activity/detail/ratios-of-similar-figures_1
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
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
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
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
Square Root Spiral and Function Graphs
In this activity, students will investigate the spiral formed by square roots of consecutive numbers, numerical approximations for square roots, the plot of the square root spiral arm lengths, and the graph of the square root function.https://education.ti.com/en/activity/detail/square-root-spiral-and-function-graphs
Sine. It's the Law.
Students will investigate the ratio of the sine of an angle to the length of the opposite side.https://education.ti.com/en/activity/detail/sine--its-the-law_1
SSA Ambiguity
This activity allows students to investigate the reason for the ambiguity in the SSA case.https://education.ti.com/en/activity/detail/ssa-ambiguity
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
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