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Infinite Geometric Series

Students explore infinite geometric series. They will consider the effect of the value for the common ratio and determine whether an infinite geometric series converges or diverges.
https://education.ti.com/en/activity/detail/infinite-geometric-series

Interesting Properties of Cubic Functions

This Computer Algebra System (CAS) activity encourages students to investigate numerical and graphical properties of cubic functions, and to verify the results using CAS.
https://education.ti.com/en/activity/detail/interesting-properties-of-cubic-functions

Triangulation Problem

In this Computer Algebra System (CAS) activity, students use 'landscape' paper and fold the top left corner of the page so that it just touches the bottom of the page. They calculate the area of the triangle formed by the bottom left corner and find the distance that forms a triangle with maximum...
https://education.ti.com/en/activity/detail/triangulation-problem

TI-89 Riemann Sum Activities for Calculus

In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of Riemann sums, and also convert Riemann sum limits to defini...
https://education.ti.com/en/activity/detail/ti89-riemann-sum-activities-for-calculus

Solution 34694: Using the fnInt Function Integral Command on the TI-84 Plus Family of Graphing Calculators.

...culated with respect to the variable, given a lower limit, upper limit and a tolerance. Tolerance is optional and if not specified it is defaulted to 1E-5. The TI-84 Plus family of graphing calculators display a template when in MATHPRINT MODE but while in this model Tolerance cannot be entered. ...
https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/34694

Solution 12027: Detailed Information Provided When Using the Catalog Stopped After OS Update on the TI-83 Plus and TI-84 Plus Family of Graphing Calculators.

...84 Plus family of products Knowledge Base Knowledge Base Search I used to be able to get more information on commands in the catalog, however since I upgraded operating systems I cannot. How do I change it so that I get more information? The detailed infor...
https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/troubleshooting-messages-unexpected-results/12027

World Population

Students use their handhelds to explore world population data from the years 1950-2006. They will develop various equations to model the data.
https://education.ti.com/en/activity/detail/world-population_1

Proving Angles Congruent

In this activity students will be introduced to proofs, including 2-column proofs, paragraph proofs and flow-proofs. They will also look at different diagrams to decide what the diagram is telling them and what they can infere. They will also look at complementary, supplementary, adjacent and v...
https://education.ti.com/en/activity/detail/proving-angles-congruent_1

Triangle Midsegment Exploration

The activity has the students investigate the relationship of the midsegment to the third side of the triangle. In addition the students investigate the area of the smaller triangles compared to the larger one and uses the results to solve the "campground" problem. There is a set of follow-up q...
https://education.ti.com/en/activity/detail/triangle-midsegment-exploration

Perspective Drawings

In this activity, students will draw figures in one- and two-point perspective, comparing and contrasting the two types of drawings. They then create an isometric drawing and compare it to the other drawings.
https://education.ti.com/en/activity/detail/perspective-drawings

Applications of Critical Points

Students will examine the relationship between critical points and local extrema through real-world examples. Students will zoom in on the critical points to see if the curve becomes linear to determine if the function is differentiable at the critical point. They will then discover that the sign...
https://education.ti.com/en/activity/detail/applications-of-critical-points

Integration By Substitution

Students explore methods for computing integrals of functions that are not in one of the standard forms.
https://education.ti.com/en/activity/detail/integration-by-substitution_1

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

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

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

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

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

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

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

Finding Pi

Students discover that pi is the ratio of a circle's circumference to its diameter using manipulatives and the Nspire's data capture feature. This activity can be accomplished individually or in groups of 2 or 3.
https://education.ti.com/en/activity/detail/finding-pi

Investigating the Angles of a Triangle

The following will find the sum of the interior angles of a triangle and the sum of the remote interior angles of a triangle. Students can then change the type of triangle. The student will see that the sum of the interior angles is always 180 degrees. Also, the student will see that the sum of t...
https://education.ti.com/en/activity/detail/investigating-the-angles-of-a-triangle

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