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 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
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
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
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
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 and Perpendicular Bisectors in a Triangle
The students will examine where the perpendicular bisectors and angle bisectors of a triangle intersect. The students will circumscribe a circle around the triangle and will inscribe a circle within the triangle. There is a page at the end of each activity with the circle constructed if the s...https://education.ti.com/en/activity/detail/angle-and-perpendicular-bisectors-in-a-triangle
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
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
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 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 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
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
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