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Arc Length and Sectors

Investigate the mathematics of arc length and sectors.
https://education.ti.com/en/activity/detail/arc-length-and-sectors

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

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

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

Area Formulas

Explore the relationships among the area formulas for parallelogram and rectangles.
https://education.ti.com/en/activity/detail/area-formulas

Midpoints in the Coordinate Plane

Beginning with horizontal or vertical segments, students will show the coordinates of the endpoints and make a conjecture about the coordinates of the midpoint.
https://education.ti.com/en/activity/detail/midpoints-in-the-coordinate-plane

Area Formulas

Explore the relationships among the area formulas for parallelogram and rectangles.
https://education.ti.com/en/activity/detail/area-formulas_1

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

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

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

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

Altitudes of Triangles

Students investigate the intersection of the altitudes of a triangle.
https://education.ti.com/en/activity/detail/altitudes-of-triangles

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

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

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

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

Pythagorean Triples

Explore Pythagorean triples by dragging vertices to find whole number Pythagorean triples.
https://education.ti.com/en/activity/detail/pythagorean-triples

The Pythagorean Theorem—and More

Students construct a triangle and find all angle and side measures. They practice dragging the vertices to form certain types of triangles, and then they confirm the Pythagorean Theorem for right triangles. Moreover, they discover the types of triangle that occur when c2 a2 + b2 or when c2 > a2 +...
https://education.ti.com/en/activity/detail/the-pythagorean-theoremand-more