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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

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

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

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

Balancing Act

Students will explore the centriod of a triangle. They will discover that it is the center of gravity. They will balance a cardboard triangle on the end of a pencil. Then they will construct the medians with folds and pencil. After students have seen that the center of gravity is the point ...
https://education.ti.com/en/activity/detail/balancing-act

Construction of the Lute of Pythagoras to investigate polynomials

The student will construct the Lute of Pythagoras and investigate the many geometric shapes created.
https://education.ti.com/en/activity/detail/construction-of-the-lute-of-pythagoras-to-investigate-polynomials

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

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

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

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

Logic

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

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

Maximizing a Paper Cone's Volume

The net for a conical paper cup is formed by cutting a sector from a circular piece of paper. What sector angle creates a net that maximizes the cone's volume? In this activity students will build concrete models, measure the dimensions and calculate the volume. Next, students will use a const...
https://education.ti.com/en/activity/detail/maximizing-a-paper-cones-volume

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

Angle and Perpendicular Bisectors in a Triangle

The students will examine where the perpendicular bisectors and angle bisectors of a triangle intersect. The students will circumscribe a circle around the triangle and will inscribe a circle within the triangle. There is a page at the end of each activity with the circle constructed if the s...
https://education.ti.com/en/activity/detail/angle-and-perpendicular-bisectors-in-a-triangle

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

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

Soda Problem: Finding the relationship between Sodium and Sugar

The students will use nutrition label data of certain sodas to create and analyze a scatterplot of the amount of sodium versus the amount of sugar in various soft drinks. They will put the data into lists, create scatterplots, discuss correlations, acquire the line of best fit, and predict other...
https://education.ti.com/en/activity/detail/soda-problem-finding-the-relationship-between-sodium-and-sugar

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

Investigation of Similar Rectangles

This activity shows how the ratios of perimeters and the ratios of areas of similar rectangles compare to the similarity ratios.
https://education.ti.com/en/activity/detail/investigation-of-similar-rectangles

Investigating Triangles and Congruence

The main purpose for this activity is to explore triangles with pairs of corresponding congruent sides and a congruent nonincluded angle.
https://education.ti.com/en/activity/detail/investigating-triangles-and-congruence

Representing the Solution Process by Graphing

In this activity, students will explore the relationships in equations. Students will validate inquiries by graphing expressions from both sides of an equation. Students will rationalize the characteristics of graphing equations. At the Pre-Algebra level, this activity can be used to compare equ...
https://education.ti.com/en/activity/detail/representing-the-solution-process-by-graphing

"Add Them Up" for TI-Nspire

This activity (which is based on "Add Them Up" from EasyData Collection Activities) involves the use of TI-Nspire, Vernier Easy Link, and a Voltage sensor in order to have students graph a scatterplot and determine an equation of best fit based on collected data.
https://education.ti.com/en/activity/detail/add-them-up-for-tinspire