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Proof of Identities

This lesson involves discovering, visualizing, and proving trigonometric identities.
https://education.ti.com/en/activity/detail/proof-of-identities

Trigonometric Proofs

Students will perform trigonometric proofs and use the graphing capabilities of the TI-Nspire for verification.
https://education.ti.com/en/activity/detail/trigonometric-proofs

Exploring Ellipses and Hyperbolas

Students will explore two conic sections, ellipses and hyperbolas, both graphically and analytically.
https://education.ti.com/en/activity/detail/exploring-ellipses-and-hyperbolas

Properties of Ellipses

This TI-Nspire Activity examines the reflective property and the distance property of a ellipse.
https://education.ti.com/en/activity/detail/properties-of-ellipses

Introduction to Conic Sections

This lesson involves observing how each of the conic sections is formed and connecting the locus definition of a parabola with the vertex form of a parabola.
https://education.ti.com/en/activity/detail/introduction-to-conic-sections

Linear Transformations

This lesson involves linear transformations from R2 to R2 represented by matrices. Note: R2 = R x R represents the set of all pairs of real numbers.
https://education.ti.com/en/activity/detail/linear-transformations

Properties of an Ellipse

Students discover properties of an ellipse, such as the set of all points such that the sum of the distances from these points to two fixed points is constant.
https://education.ti.com/en/activity/detail/properties-of-an-ellipse

Breaking Up is Not Hard to Do

Students split rational functions into sums of partial fractions.
https://education.ti.com/en/activity/detail/breaking-up-is-not-hard-to-do

Evaluating Logarithms

In problem 1, students explore the logarithm (base 10) function and compare the functions y = 10x and y = log 10x first through a table of values, then through a graph. In problem 2, students explore logarithms with other bases via tables, graphs, the calculator application and the change of base...
https://education.ti.com/en/activity/detail/evaluating-logarithms

Count the Differences

Students are given data, asked to find the finite differences, and then use this to find a polynomial that models the data.
https://education.ti.com/en/activity/detail/count-the-differences_1

Constant of Variation

Students explore how the constant of variation, k, affects the graph of direct and inverse variations.
https://education.ti.com/en/activity/detail/constant-of-variation

Limacon Curve

In this activity, students will observe different graphs of polar limaçon curves. Students will discover four different types of limaçon curves and their relationship to the ratio of a to b.
https://education.ti.com/en/activity/detail/limacon-curve

Exploring Motion in the Plane

In this activity,  students will use a TNS file for visualizing the velocity and acceleration vectors at specific times associated with a particle as it moves along a curve. 
https://education.ti.com/en/activity/detail/exploring-motion-in-the-plane

Graphing Relationships

In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn that the second derivative is positive when the graph is con...
https://education.ti.com/en/activity/detail/graphing-relationships

A Linear Picture

Students will use lines to create a picture.
https://education.ti.com/en/activity/detail/a-linear-picture

Factoring Composite Numbers

In this activity, students will review terms associated with prime factors, as well as practice factoring into a factor tree and the prime factorization into exponent form.
https://education.ti.com/en/activity/detail/factoring-composite-numbers

Order Pears

In this activity, students will interactively investigate ordered pairs. They will graphically explore the coordinates of a point on a Cartesian plane, identifying characteristics of a point corresponding to the coordinate. Students will plot ordered pairs of a function, list these in a table of ...
https://education.ti.com/en/activity/detail/order-pears_1

Closure Tables

In this activity, students create and complete closure tables to determine if the sets of whole numbers, integers, even numbers, and odd numbers are closed under the operations of addition, subtraction, multiplication, and division.
https://education.ti.com/en/activity/detail/closure-tables

Bewildered Babies

Students test the limits of the combinations formula by applying it to a labeling situation. After making charts and using logic to list possible label arrangements, students compare their results with the output of the combinations formula and nCr command.
https://education.ti.com/en/activity/detail/bewildered-babies_1

What Is My Rule?

This activity encourages students to gain experience with the language of the Cartesian coordinate system. Each of the problems shows two points, z and w. Point z can be dragged, and point w moves in response. In describing the rule that governs the location of point w, students will most likely ...
https://education.ti.com/en/activity/detail/what-is-my-rule

Shall I Double Up or Take the Million? Exponential Growth

If you were given the opportunity to be given a permanent monthly salary of 1,000,000 for 30 days of work or a salary beginning with a penny on day one and doubling each day for 30 days which would you choose?
https://education.ti.com/en/activity/detail/shall-i-double-up-or-take-the-million-exponential-growth

The Triangular Box Problem (and Extension)

Student will discover the relationship between the height of a box with a triangular base and its volume and student will find the height that will produce the maximum volume of the open-topped box.
https://education.ti.com/en/activity/detail/the-triangular-box-problem-and-extension

Application of Slopes

Students will apply the concept of slope to a real-world problem about building a staircase. They will use the slope ratio, vertical change over horizontal change, to find the slope of staircase. Then, students will recognize how a positive or negative slope applies in a real-world situation.
https://education.ti.com/en/activity/detail/application-of-slopes

Common Denominator

In this activity, students will use an interactive model that multiplies the fraction by "1" to help determine the common denominator. Then they will use what they have learned to add and subtract fractions without the same denominators.
https://education.ti.com/en/activity/detail/common-denominator_1

Triangles and Slope - Is the Triangle Possible?

Students will construct triangles that match specific criteria. If it is possible to construct the triangle, the students have to construct the triangle and state the slope of each side. If the triangle is impossible to construct, the students must write a detailed explanation as to why it is im...
https://education.ti.com/en/activity/detail/triangles-and-slope--is-the-triangle-possible