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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

Cyclic Quadrilaterals

Students will explore cyclic quadrilaterals and their properties.
https://education.ti.com/en/activity/detail/cyclic-quadrilaterals_2

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

Exploring Circle Equations

Students explore the equation of a circle. They will make the connection with the coordinates of the center of the circle and length of the radius to the corresponding parts of the equation. Then, students apply what they have learned to find the equation of the circles in several circular designs.
https://education.ti.com/en/activity/detail/exploring-circle-equations_1

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

Exploring the Black Box of Quadrilaterals

The exploration will begin with students dragging the quadrilateral given to them about the screen. Initially, they will be asked to simply identify the quadrilateral's type by sight. This will require simply a visual recognition of the quadrilaterals parallelogram, rectangle, square, rhombus, ...
https://education.ti.com/en/activity/detail/exploring-the-black-box-of-quadrilaterals

Exploring the Equation of a Circle

Explore right triangles and the Pythagorean Theorem to develop the equation of a circle.
https://education.ti.com/en/activity/detail/exploring-the-equation-of-a-circle

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

Exploring Limits of a Sequence

Perform numerical investigations of the limits of sequences and sum of a series. 
https://education.ti.com/en/activity/detail/limit-of-a-sequence

Volume- IB

Students define right and oblique three dimensional figures and calculate the volume for prisms, pyramids, cylinders, and cones.
https://education.ti.com/en/activity/detail/volume_1

Can I Make a Triangle?

This TI-Nspire activity is for the Triangle Inequality Theorem. There are 3 problems that contain 3 segments each. The student tries to make triangles with these segments. They compare the lengths of the shortest to the length of the longest to see if the inequality is true or false. For the...
https://education.ti.com/en/activity/detail/can-i-make-a-triangle

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-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

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

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

Making Hay While the Sun Shines & Not Losing It in the Rain (The Geometry of the Big Round Bale)

This activity explores the volume of the hay bale and the percent of loss as the radius of the bale decreases. The extension collects data from the constructed cylinder in a spreadsheet and graphs it. The graphs are modeled with quadratic functions and transformations of quadratic functions can...
https://education.ti.com/en/activity/detail/making-hay-while-the-sun-shines--not-losing-it-in-the-rain--the-geometry-of-the-big-round-bale

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

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 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

Square Root Spiral and Function Graphs

In this activity, students will investigate the spiral formed by square roots of consecutive numbers, numerical approximations for square roots, the plot of the square root spiral arm lengths, and the graph of the square root function.
https://education.ti.com/en/activity/detail/square-root-spiral-and-function-graphs

Remote Interior Angles

Students use the handheld activity and questions to explore remote interior angles.
https://education.ti.com/en/activity/detail/remote-interior-angles

Exploring Vertical Asymptotes

Students will be able to determine the domain of rational functions, use algebraic concepts to determine the vertical asymptotes of a rational function, determine the removable discontinuities of a rational function, and describe the graph of a rational function given the equation.
https://education.ti.com/en/activity/detail/exploring-vertical-asymptotes

Balancing Equations

This lesson involves understanding what it means for an equation to be balanced in the process of solving linear equations with one variable.
https://education.ti.com/en/activity/detail/balancing-equations