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Chords of a Circle

Explore the relationship between chords of a circle and their perpendicular bisectors.
https://education.ti.com/en/activity/detail/chords-of-a-circle

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

Extrema

Students will learn how to find and label extrema using first and second derivatives, be able to inspect a graph and determine which extrema the function has, and be able to use Trace, fMin, and fMax to verify the computed answers and find critical values for parametric functions.
https://education.ti.com/en/activity/detail/extrema

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

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

Addition of Parts

This activity is a self-contained discussion of the topic of segment and angle addition and allows the teacher to focus on the flow of the class rather than explanation. Students will be able to work through this activity easily and reach usable conclusions on their own. Also, examples are prov...
https://education.ti.com/en/activity/detail/addition-of-parts

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

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

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

The Ladder Problem Revisited

In this activity students explore the locus of mid-point of the hypotenuse of a fixed length geometrically and algebraically and discover that the median a right triangle is equal to half the length of the hypotenuse. Students then prove this property. The problem: A ladder leans upright against ...
https://education.ti.com/en/activity/detail/the-ladder-problem-revisited

The Art Project

Students explore the locus of points in the interior of the right angle such that the sum of the distances to the sides of the angle is constant.
https://education.ti.com/en/activity/detail/the-art-project

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

How far do you live from school?

Prior to this activity students determine how far they live from school and how long it takes them to get to school. They analyze this data using various types of graphs and draw conclusions regarding the relationship between time and distance. They also look at zip codes and explore factors that...
https://education.ti.com/en/activity/detail/how-far-do-you-live-from-school

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

Flatland: The TI-Book

One of the best geometry books of all time is Flatland. Written over a century ago, there is no copyright for this book and you can find it available free as a podcast or a text file. However, nothing beats a TI-book with nicely produced diagrams.
https://education.ti.com/en/activity/detail/flatland-the-tibook

Dinner Party

Students investigate the total cost of a private party at three restaurants and then model the cost of a party at each restaurant with the graph of a linear function.
https://education.ti.com/en/activity/detail/dinner-party_1

Investigating Properties of Quadrilaterals Using the TI-Nspire Navigator

Why spend time listing properties/theorems on the board when your students can be actively engaged in the discovery of such properties. This activity will make use of the TI-Nspire and the TI-Nspire Navigator to exchange files with the students handhelds. The Class Analysis feature of the TI-Ns...
https://education.ti.com/en/activity/detail/investigating-properties-of-quadrilaterals-using-the-tinspire-navigator

Simple Inequalities on a Number Line

Observe the differences in the graphs when , and ≥ are used.
https://education.ti.com/en/activity/detail/simple-inequalities-on-a-number-line

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

Ratios of Similar Triangles

In this activity, students will explore two ways of comparing side lengths of similar triangles. They will calculate ratios and change the triangles to see how the ratio changes. Then they will write proportions using the ratios.
https://education.ti.com/en/activity/detail/ratios-of-similar-triangles_1

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

Factoring Special Cases

Students explore geometric proofs for two factoring rules: a2 + 2ab + b2 = (a + b)2 and x2 – a2 = (x – a)(x + a). Given a set of shapes whose combined areas represent the left-hand expression, they manipulate them to create rectangles whose areas are equal to the right-hand expression.
https://education.ti.com/en/activity/detail/factoring-special-cases_1

Inscribed Regular Polygons

Students will calculate the changing area and perimeter of inscribed polygons as the number of sides increase. The measurements will be recorded in a spreadsheet for analysis. Students will be learning to use the measurement tools and the Hide/Show function of the TI-Nspire. Students will be aske...
https://education.ti.com/en/activity/detail/inscribed-regular-polygons