Circle Geometry: Angles Formed by Intersecting Chords
This activity is intended to teach students about the rule associated with the angles formed by two chords intersecting within the circle and the intercepted arcs.https://education.ti.com/en/activity/detail/circle-geometry-angles-formed-by-intersecting-chords
Circle Geometry: Property of the Segments of Two Chords Intersecting within a Circle
Students will be able to discover the property of two chords segments intersecting within a circle. They will discover the rule about the segments geometrically, numerically, and graphically. Lesson will touch on line of best fit to explore the relationship between the segments of the two chords.https://education.ti.com/en/activity/detail/circle-geometry-property-of-the-segments-of-two-chords-intersecting-within-a-circle
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
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
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
Remote Interior Angles
Students use the handheld activity and questions to explore remote interior angles.https://education.ti.com/en/activity/detail/remote-interior-angles
Linear Equation Investigation
Students are given a real-life situation (cost of a birthday party) they must create an algebraic equation, table of values, and a scatterplot of the table that is created. They are asked to explain patterns that they observed in each type of representation and also check their accuracy when cre...https://education.ti.com/en/activity/detail/linear-equation-investigation
How Does a Spring Scale Work?
In this lesson, teachers will use a spring to help students learn that the constant of proportionality between two proportional quantities is the unit rate of change.https://education.ti.com/en/activity/detail/how-does-a-spring-scale-work
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
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
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
Exploring Probability with Dice and Test Scores
1. In this activity students will investigate probabilities of independent events and interpret the probabilities they calculate. 2. At the 8th grade level, this activity can be used to solve simple problems involving probability and compare probabilities of events.https://education.ti.com/en/activity/detail/exploring-probability-with-dice-and-test-scores
We've Got You Covered: 2D Area
This lesson involves using the geometry tools to measure the area of two-dimensional shapes from the faces of three-dimensional objects they see in pictures taken outside of the classroom.https://education.ti.com/en/activity/detail/weve-got-you-covered-2d-area