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
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
Congruent Triangles
This activity is intended to provide students with an opportunity to discover three methods of proving triangles congruent: SSS, SAS, and ASA.https://education.ti.com/en/activity/detail/congruent-triangles_2
Classifying Quadrialterals
In this activity, students will classify quadrilaterals graphed on the Cartesian coordinate plane. Students will justify their classifications with segment and angle measurements as well as slope measurements. A review of the hierarchy of quadrilaterals is at the beginning of the document.https://education.ti.com/en/activity/detail/classifying-quadrialterals
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
Angles in Polygons
In this activity, students measure interior angles in convex polygons and find the sum of the angle measures. They make and test a conjecture about the sum of the angle measures in an n-sided polygon. Finally, they measure exterior angles in convex polygons, find their sum, and write a proof for ...https://education.ti.com/en/activity/detail/angles-in-polygons_1
Congruent or Not?
In this activity, students will investigate whether AAA, SAS, ASA, or SSA relationship guarantee that two triangles are congruent or not. This is an exploratory activity where students will need to know how to change between pages, grab and move points, and measure lengths.https://education.ti.com/en/activity/detail/congruent-or-not_1
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
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
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
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
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
Logic
This document reviews logical reasoning with problems on compound statements, conditional statements, and algebraic proofs.https://education.ti.com/en/activity/detail/logic
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
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
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 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
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
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