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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

Parametric Projectile Motion

Students will understand how changing the initial velocity and the initial angle change the path of a projectile. Students will be able to write the parametric equations for the path of a projectile.
https://education.ti.com/en/activity/detail/parametric-projectile-motion

Spring Training

Students explore parametric equations by finding the horizontal and vertical distances traveled by a projectile.
https://education.ti.com/en/activity/detail/spring-training_1

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

Exploring Geometric Sequences

Students graphically analyze geometric series using graphs and consider the effect of the value for the common ratio and first term using sliders.
https://education.ti.com/en/activity/detail/exploring-geometric-sequences

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

Rational Functions

Students investigate the graphs of functions of the form y = 1/(x - a). They will discover that the graph of such a function has a vertical asymptote at x = a, and a horizontal asymptote at y = 0. They will investigate the graphic and numeric consequences of such asymptotic behavior by observing ...
https://education.ti.com/en/activity/detail/rational-functions_2

Spring Training

Students will explore parametric equations by finding the horizontal and vertical distances traveled by a projectile.
https://education.ti.com/en/activity/detail/spring-training

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

Applications of Domain and Range

Determine domain and range in real-world situations. Writing and graphing equations to model problems. Recognize the meaning of domain and range in the real-world situations.
https://education.ti.com/en/activity/detail/applications-of-domain-and-range

An Application of Parabolas

Students discover how the parameters of an equation of a parabola affect its graph and affect a real-world problem.
https://education.ti.com/en/activity/detail/an-application-of-parabolas

Around the Vertex in 80 Days

Students move a quadratic function in the coordinate plane to specific points to observe how the vertex form of the equation changes.
https://education.ti.com/en/activity/detail/around-the-vertex-in-80-days

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

Investigating the Derivatives of Some Common Functions

In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a function. They gather evidence toward some common derivative for...
https://education.ti.com/en/activity/detail/investigating-the-derivatives-of-some-common-functions

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

All On The Line

Students enter points into a spreadsheet and graph equations to help solve linear systems.
https://education.ti.com/en/activity/detail/all-on-the-line

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