Exploring the Formula for Area of a Triangle: How was it Derived?
This activity is designed to be paperless. The entire lesson is written to be placed in the Nspire. Students will explore how the formula for area of a triangle works and why it works, they will also explore altitudes and medians of triangles.https://education.ti.com/en/activity/detail/exploring-the-formula-for-area-of-a-triangle-how-was-it-derived
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
Constructing a Pentagon, An Alternative Method
Use the TN-Nspire (OS 2.0) to construct a regular pentagon using lines, rays, line segments, and circles of various diameters. The characteristics of a regular pentagon are discussed and used to verify the construction meets the criteria of all sides being equal, and all angles being equal. The ...https://education.ti.com/en/activity/detail/constructing-a-pentagon-an-alternative-method
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
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
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
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
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
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
Equivalent or Not Equivalent?
Introduce the idea of equivalent expressions in the context of three critical operations.https://education.ti.com/en/activity/detail/equivalent-or-not-equivalent
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
How to Find the Center of a Circle Determined by Three Non-Collinear Points
...roblem 3 worksheet guides the novice user to perform the task using the TI-Nspire handheld. Several of the calculator tools and utilities are used in completing the activity to find the center and measure the radius of the circle. Problem 4 includes instruction for writing the equation of the cir...https://education.ti.com/en/activity/detail/how-to-find-the-center-of-a-circle-determined-by-three-noncollinear-points
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
Area "FOILed" Again!
Students practice finding rectangular areas with algebraic expressions for the lengths of the sides.https://education.ti.com/en/activity/detail/area-foiled-again_1
Interior Angles of Polygons
This activity allows students to discover the value of the sum of the interior angles of an n-sided polygon.https://education.ti.com/en/activity/detail/interior-angles-of-polygons
Variables on Both Sides
Students encounter various scenarios involving perimeters of polygons.https://education.ti.com/en/activity/detail/variables-on-both-sides_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
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