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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

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

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

Area Formulas

Explore the relationships among the area formulas for parallelogram and rectangles.
https://education.ti.com/en/activity/detail/area-formulas_1

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

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

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

Logic

This document reviews logical reasoning with problems on compound statements, conditional statements, and algebraic proofs.
https://education.ti.com/en/activity/detail/logic

Alternate Interior Angles

Explore the relationships of the angles formed when two parallel lines are cut by a transversal.
https://education.ti.com/en/activity/detail/alternate-interior-angles

Altitudes of Triangles

Students investigate the intersection of the altitudes of a triangle.
https://education.ti.com/en/activity/detail/altitudes-of-triangles

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

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

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

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

Scale Factor Area Perimeter

Explore the relationship of perimeter and area in similar triangles when the scale factor is changed.
https://education.ti.com/en/activity/detail/scale-factor-area-perimeter

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

Pythagorean Relationships

Investigate the triangles that can be formed using one side of three squares to build the triangle.
https://education.ti.com/en/activity/detail/pythagorean-relationships

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

Pythagorean Triples

Explore Pythagorean triples by dragging vertices to find whole number Pythagorean triples.
https://education.ti.com/en/activity/detail/pythagorean-triples

The Mailbox

In this lesson, students will visualize that areas of irregular shapes can be found by determining the sum of smaller, more familiar shapes.
https://education.ti.com/en/activity/detail/the-mailbox-hs

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

The Lunes of Hippocrates

In this activity, students will explore a figure that involves lunes - the area enclosed between arcs of intersecting circles. When lunes are constructed on the sides of a right triangle, an interesting result occurs.
https://education.ti.com/en/activity/detail/the-lunes-of-hippocrates_1