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Parallel Lines and the Transversals that Cross Them!

Students will explore the relationships between angles formed by parallel lines crossed by transversals. While there are other activities that may address similar topics, the questions presented to students in this activity bring a fresh perspective to student discovery.
https://education.ti.com/en/activity/detail/parallel-lines-and-the-transversals-that-cross-them

Properties of Parallelograms

Students will manipulate parallelograms to discover the relationships between the sides, angles, and diagonals of parallelograms.
https://education.ti.com/en/activity/detail/properties-of-parallelograms_7

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 Special Quadrilaterals Exploration

Students are given a TI-Nspire file with special quadrilaterals so that they can use the dynamic measurement capabilities of the TI-Nspire to explore which properties always hold true for each quadrilateral.
https://education.ti.com/en/activity/detail/properties-of-special-quadrilaterals-exploration

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

Diagonal Classification

This activity could be used as an assessment after a unit on special quadrilaterals. Students are given an unknown quadrilateral constructed with a given diagonal property. By dragging the vertices of the quadrilateral, students conjecture as to the names of the quadrilaterals that can be constru...
https://education.ti.com/en/activity/detail/diagonal-classification

Dilations

This activity is designed to allow students to create an interactive document that allows them to alter the specifications of a dilation and visually and numerically see its effects.
https://education.ti.com/en/activity/detail/dilations

Discovering the Circumcenter and Centroid of a Triangle

The students will find the circumcenter by constructing perpendicular bisectors of the sides of a triangle. They will also find the centroid by constructing the medians of a triangle and discover that the centroid is 2/3 of the distance from each vertex along each median.
https://education.ti.com/en/activity/detail/discovering-the-circumcenter-and-centroid-of-a-triangle

Points of Concurrency in Triangles

In this activity, students will use their Nspire handhelds to discover the different points of concurrencies in triangles. The students will take advantage of the dynamic capabilities to discover the circumcenter, incenter, and centroid of triangles.
https://education.ti.com/en/activity/detail/points-of-concurrency-in-triangles

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

Exploring the Formula for Area of a Triangle: How was it Derived?

This activity is designed to be paperless. The entire lesson is written to be placed in the Nspire. Students will explore how the formula for area of a triangle works and why it works, they will also explore altitudes and medians of triangles.
https://education.ti.com/en/activity/detail/exploring-the-formula-for-area-of-a-triangle-how-was-it-derived

Properties of Isosceles Triangles

In this activity and by using the Nspire handhelds, students will discover the different properties and attributes of Isosceles Triangles. The students will take advantage of the dynamic capabilities of this very unique handheld to explore the different attributes of the Isosceles Triangle.
https://education.ti.com/en/activity/detail/properties-of-isosceles-triangles

Exploring Special Right Triangles

In this acvtivity, a 30-60-90 degree triangle is constructed for the student to explore. The student is asked to construct a 60 degree angle to give them an understanding of the construction. They will drag the vertex of the triangle and collect sample data. After they collect the data it is us...
https://education.ti.com/en/activity/detail/exploring-special-right-triangles

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 the Geometric Means of a Right Triangle - When the Altitude to the Hypotenuse Is Drawn

Students will explore the concept of geometric mean and solve right triangle problems using geometric mean proportions. A TI-Nspire activity demonstrates interactively the geometric mean relationship, and an activity sheet applies the relationship to solve triangle problem. Most discussions of g...
https://education.ti.com/en/activity/detail/exploring-the-geometric-means-of-a-right-triangle--when-the-altitude-to-the-hypotenuse-is-drawn

Properties of Parallelograms

In this activity, students will discover the properties of a parallelogram. Students will measure various components of a parallelogram to make conjectures about its properties.
https://education.ti.com/en/activity/detail/properties-of-parallelograms

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

Angles of a Triangle

This activity explores the various relationships of the angles of a triangle. It starts with an interior angle and its corresponding exterior angle. Then the sum of the interior angles. Finally, the relationship between one exterior angle and its remote interior angles. The students are prov...
https://education.ti.com/en/activity/detail/angles-of-a-triangle_2

Circle Geometry: Angles Formed by Intersecting Chords

This activity is intended to teach students about the rule associated with the angles formed by two chords intersecting within the circle and the intercepted arcs.
https://education.ti.com/en/activity/detail/circle-geometry-angles-formed-by-intersecting-chords

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

Exterior Angle Sum Theorem

This activity illustrates the exterior angle sum theorem by taking regular polygons with an exterior angle constructed, one at each vertex, and pulling all the vertices together to show that all exterior angles form a circle.
https://education.ti.com/en/activity/detail/exterior-angle-sum-theorem

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