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Convergence of Taylor Series

A Taylor Series for a function becomes the function as the number of terms increases towards infinity.
https://education.ti.com/en/activity/detail/convergence-of-taylor-series

Segment Addition Postulate

The purpose of this handout is to provide students an opportunity to learn the keystrokes involved using the TI-Nspire and to verify the Segment Addition Postulate.
https://education.ti.com/en/activity/detail/segment-addition-postulate

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

Properties of Parallelograms

Students will manipulate parallelograms to discover the relationships between the sides, angles, and diagonals of parallelograms.
https://education.ti.com/en/activity/detail/properties-of-parallelograms_7

Discovering the Triangle Inequality Theorem with the TI-Nspire

Students progress through a series of investigations regarding the lengths of the sides of a triangle. This activity, for discovering the Triangle Inequality Theorem, can be used as either a teacher demonstration or as a classroom activity.
https://education.ti.com/en/activity/detail/discovering-the-triangle-inequality-theorem-with-the-tinspire

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

Dilations

This activity is designed to allow students to create an interactive document that allows them to alter the specifications of a dilation and visually and numerically see its effects.
https://education.ti.com/en/activity/detail/dilations

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

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

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

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

Area Formula Investigations

It's easy to just plug in the numbers without thinking, right? Even better, just use the calculator to find the area for you! Well, not today! Students will construct altitude and calculate the area of 5 geometric shapes using the measurement tools.
https://education.ti.com/en/activity/detail/area-formula-investigations

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

Logic

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

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

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

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

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

Secants, Tangents, And Angle Measures

This activity is intended to be used as an interactive tool to help students learn about the relationships between the the angles and arcs formed with intersecting secant and tangent lines.
https://education.ti.com/en/activity/detail/secants-tangents-and-angle-measures

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