Balancing Act
Students will explore the centriod of a triangle. They will discover that it is the center of gravity. They will balance a cardboard triangle on the end of a pencil. Then they will construct the medians with folds and pencil. After students have seen that the center of gravity is the point ...https://education.ti.com/en/activity/detail/balancing-act
Balancing Point
In this activity, students will explore the median and the centroid of a triangle. Students will discover that the medians of a triangle are concurrent. The point of concurrency is the centroid. Students should discover that the center of mass and the centroid are the same for a triangle.https://education.ti.com/en/activity/detail/balancing-point
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
Angle-Side Relationships
Investigate some necessary conditions for creating a triangle.https://education.ti.com/en/activity/detail/angleside-relationships
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
Corresponding Parts of Congruent Triangles
Explore corresponding parts of congruent triangles.https://education.ti.com/en/activity/detail/corresponding-parts-of-congruent-triangles
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
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
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
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
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
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
Logic
This document reviews logical reasoning with problems on compound statements, conditional statements, and algebraic proofs.https://education.ti.com/en/activity/detail/logic
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
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
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
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