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Transformations: Reflections and Rotations

This activity is designed to be used in a middle-school or high-school geometry classroom. An understanding of labeling points in the coordinate plane is necessary. This is an exploration using reflections to move a polygon about the coordinate plane.
https://education.ti.com/en/activity/detail/transformations--reflections-and-rotations

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

"Picking" Your Way Through Area Problems

Students will discover Pick's Theorem by finding the relationship between area and the number of boundary points and interior points of a lattice polygon.
https://education.ti.com/en/activity/detail/picking-your-way-through-area-problems

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

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 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

Exterior & Remote Interior Angles

Students investigate an exterior angle and its two remote interior angles using a Graphs & Geometry page.
https://education.ti.com/en/activity/detail/exterior--remote-interior-angles

Constructing Regular Polygons - Angles of Rotational Symmetry

This activity is designed to be used with the Geometry textbook "Math Connections - 2B" p. 295: #4
https://education.ti.com/en/activity/detail/constructing-regular-polygons--angles-of-rotational-symmetry

Angle-Side Relationships

Investigate some necessary conditions for creating a triangle.
https://education.ti.com/en/activity/detail/angleside-relationships

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

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

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

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

Angles and Similarity

Experiment with the measures of the angles of similar triangles to determine conditions necessary for two triangles to be similar.
https://education.ti.com/en/activity/detail/angles-and-similarity

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

Supplements and Complements

The attached files contain a supplementary angle and complementary angle for students to explore. They are asked which point changes the measure of the angle. They can move various parts of the construction. The files are designed to be used with your current instructional materials.
https://education.ti.com/en/activity/detail/supplements-and-complements

Taxicab Geometry

In this activity, students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab pe...
https://education.ti.com/en/activity/detail/taxicab-geometry

Secants and Angles in a Circle

This activity is designed to allow students to gain an understanding of the relationship between the arcs and angles formed by secants drawn from a common external point outside a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.
https://education.ti.com/en/activity/detail/secants-and-angles-in-a-circle

Secants and Segments in a Circle

This activity is designed to allow students an opportunity to gain an understanding of the relationship among the segments formed by two secants drawn from a common external point to a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.
https://education.ti.com/en/activity/detail/secants-and-segments-in-a-circle

Solving for Sides in a Right Triangle

This activity was designed for the Grade 11 College Math course in the Ontario curriculum. Students are expected to solve problems, including those that arise from real-world applications, by determining the measures of the sides and angles of right triangles using the primary trigonometric ratio...
https://education.ti.com/en/activity/detail/solving-for-sides-in-a-right-triangle

Mystery Point!

Students will discover the nature of the 'Mystery Point' in a triangle. The Mystery Point is a triangle center, constructed through algebraic and vector means, so students can not "un-hide" the construction to discover the center. The students will have to test various center constructions to dis...
https://education.ti.com/en/activity/detail/mystery-point

Geyser Water Park

This activity deals with the slope-intercept (y=mx+b) formula. It is a good introductory lesson for using the formulas. It also includes setting up a chart and the students have to enter the data into the calculator and graph the results.
https://education.ti.com/en/activity/detail/geyser-water-park