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Segments and Chords in a Circle

This activity is designed to allow students an opportunity to gain an understanding of the relationship among the segment measures 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/segments-and-chords-in-a-circle

The Sprinkler and the Lawn

Students will apply the concepts of angle bisector, incenter of a triangle, and percentages to solve a real-world problem involving a circular sprinkler and a triangular-shaped lawn.
https://education.ti.com/en/activity/detail/the-sprinkler-and-the-lawn

Shortest Distance

Students will discover, through exploration, that the shortest distance from a point on a line to the origin is a measure of a perpendicular line segment. You will investigate this minimization problem and support the analytical explanations with interactive explorations.
https://education.ti.com/en/activity/detail/shortest-distance

Shortest Distances

Students will explore three situations involving distances between points and lines. First, the minimum distance between two points leads to the Triangle Inequality Theorem. Then, the shortest distance from a point to a line is investigated. Finally, students find the smallest total distan...
https://education.ti.com/en/activity/detail/shortest-distances

Similar Figures - Using Ratios to Discover Properties

Students will explore similar triangles and set up ratios to discover properties of similar triangles.
https://education.ti.com/en/activity/detail/similar-figures--using-ratios-to-discover-properties

Secant Angle Investigation

This activity will allow students to discover the relationship between the secant angle and the corresponding central angles.
https://education.ti.com/en/activity/detail/secant-angle-investigation

Patterns in Area - Impact of Changes in Length and Width

Students will explore what happens to the area of a rectangle if you double the length and width.
https://education.ti.com/en/activity/detail/patterns-in-area--impact-of-changes-in-length-and-width

Equations of a Circle

In this activity, the students can be partnered up and will discover how the equation of a circle changes when you move the circle around the coordinate plane.
https://education.ti.com/en/activity/detail/equations-of-a-circle

Equations of Circles

This activity will enable the student to discover BOTH equations of a circle. The Nspire activity will show three different interactive circles: the first with only the radius able to be manipulated, the second with only the center and the third with both. While the student works with both the ...
https://education.ti.com/en/activity/detail/equations-of-circles

Properties of Quadrilaterals

The students will investigate the properties of a parallelogram, rhombus, rectangle, square, kite, trapezoid, and isosceles trapezoid by using the measurement tools of the TI-Npsire. The students will record their results on the chart. The time for the activity will vary based on the ability of...
https://education.ti.com/en/activity/detail/properties-of-quadrilaterals

Properties of Triangles

In this activity, students explore different types of triangles and find the interior and exterior angle sum to form a paragraph proof.
https://education.ti.com/en/activity/detail/properties-of-triangles

Proportional Segments

The purpose of this activity is to investigate the relationship between segments formed by drawing a line parallel to one side of a triangle or by drwing and angle bisector of one the angles.
https://education.ti.com/en/activity/detail/proportional-segments

Diameter and Circumference Relationship

A short activity that helps to demonstrate the relationship between diameter and circumference.
https://education.ti.com/en/activity/detail/diameter-and-circumference-relationship

Polygons & Angles: Looking for Patterns

This activity explores the relationships of various polygons and their angles. This is a discovery lesson and leads students through data and asks them to make conjectures about the angles of a triangle, quadrilateral, and pentagon. This lesson explores interior angles, exterior angles, and as...
https://education.ti.com/en/activity/detail/polygons--angles--looking-for-patterns

Possible Lengths of Sides of Triangles

The first problem in this activity has students explore the varying length of the third side of a triangle when 2 sides are given. They will discover that the length of the third side must be between the difference and the sum of the other 2 sides. The second problem extends this idea of the le...
https://education.ti.com/en/activity/detail/possible-lengths-of-sides-of-triangles

Proof by Counterexample of the SSA and AAA Cases

Students will use the geometry functions of the Nspire to create triangles with SSA and AAA details. Then these counterexamples are used to disprove possible SSA and AAA conjectures.
https://education.ti.com/en/activity/detail/proof-by-counterexample-of-the-ssa-and-aaa-cases

Properties of Parallel Lines

This activity is designed to incorporate the TI-Nspire Navigator system to provide a paperless activity. Students will investigate the relationships formed when two parallel lines are cut by a transversal. They will make observations from angle measurements. This is a great activity for beginn...
https://education.ti.com/en/activity/detail/properties-of-parallel-lines

Exploring Midpoints

This is a quick activity to help students see the relationship of the midpoint of a segment.
https://education.ti.com/en/activity/detail/exploring-midpoints

Exploring Midsegments of a Triangle

Students will discover the relationships between a midsegment of a triangle and its third side.
https://education.ti.com/en/activity/detail/exploring-midsegments-of-a-triangle

Exploring Parallel Lines and Angles

Students will explore the relationships between pairs of angles formed when two parallel lines are cut by a transversal. They will identify special pairs of angles, measure all the angles formed by two parallel lines cut by a transversal, and then look for patterns among the measures.
https://education.ti.com/en/activity/detail/exploring-parallel-lines-and-angles

Cell Phone Towers

In this activity students explore the locus of a point that is located twice as far from a given point A as it is from given point B. The locus is Apollonius circle. Students discover that the locus is a circle and then prove it. The key property: If a ray bisects an angle of a triangle, then it ...
https://education.ti.com/en/activity/detail/cell-phone-towers

Area of a Triangle Between Parallel Lines

This is an investigation of what happens to the area of a triangle when one vertex moves along a line parallel to the side opposite the vertex.
https://education.ti.com/en/activity/detail/area-of-a-triangle-between-parallel-lines

Building 3-D Initials with a Vanishing Point

Students will use a vanishing point for a one point perspective drawing of an initial of their choice.
https://education.ti.com/en/activity/detail/building-3d-initials-with-a-vanishing-point

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

Angles in Polygons

This is a self-contained activity that is designed to incorporate the TI-Nspire Navigator system which provides for a paperless activity that can be easily managed during and after the class period. Students will investigate the relationships of the interior and exterior angles in a polygon. T...
https://education.ti.com/en/activity/detail/angles-in-polygons