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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

Circles - Angles and Arcs

In this activity, students will investigate inscribed angles, central angles and intercepted arcs relationships in circles.
https://education.ti.com/en/activity/detail/circles--angles-and-arcs

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

Arc Length and Sectors

Investigate the mathematics of arc length and sectors.
https://education.ti.com/en/activity/detail/arc-length-and-sectors

Arcs and Central Angles of Circles

Students discover the central angles of circles plus minor and major arcs.
https://education.ti.com/en/activity/detail/arcs-and-central-angles-of-circles

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 Magic of Central Angles

This activity allows students to investigate the relationship between central angles and the arcs they intercept.
https://education.ti.com/en/activity/detail/the-magic-of-central-angles

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, 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

Secants, Tangents and Arcs

Explore the angle and arc relationships for two intersecting lines that intersect a circle.
https://education.ti.com/en/activity/detail/secants-tangents-and-arcs

Special Segments in Triangles

In this activity, students construct medians, altitudes, angle bisectors, and perpendicular bisectors of triangles. They then drag the vertices to see where the intersections of the segments lie in relation to the triangle, and they measure distances to identify relationships. They see that the i...
https://education.ti.com/en/activity/detail/special-segments-in-triangles_1

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

Getting "A-Round" Area

This lesson involves using sectors of a circle to form a parallelogram and, from this shape, investigating the area formula for a circle.
https://education.ti.com/en/activity/detail/getting-around-area

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

Perpendicular Slopes

Students investigate the 'negative reciprocal' relationship between the slopes of perpendicular lines. The final phase of the activity is appropriate for more advanced students as they are led through an algebraic proof of the relationship. Optional geometric activities (problems 5 and 6 of the ....
https://education.ti.com/en/activity/detail/perpendicular-slopes

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 Angles

Students use animation to discover that the measure of an inscribed angle is half the measure of its intercepted arc, that two angles that intercept the same, or congruent, arcs are congruent, and that an angle inscribed in a semi-circle is a right angle. They then discover that the opposite angl...
https://education.ti.com/en/activity/detail/inscribed-angles_1

Algebra Nomograph

This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find th...
https://education.ti.com/en/activity/detail/algebra-nomograph

Trains in Motion

Compare and contrast the motion of two objects and how it corresponds to distance as a function of time.
https://education.ti.com/en/activity/detail/trains-in-motion_1

Pi and Precision

Students will collect the measurements of circumference and diameter for four objects in their group. (Cup, Can, Mint Candy, and a Coin) They will then investigate the accuracy of their data colletion using a numerical table and a scatter plot. Students must observe how closely their measurements...
https://education.ti.com/en/activity/detail/pi-and-precision