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Graphs of Tangent, Cotangent, Secant, and Cosecant

The goal of this activity is for students to see how the graphs of tangent, cotangent, secant, and cosecant are generated and related to the unit circle. A point is animated around the unit circle as data points are captured to create a scatter plot. Students discover a way to relate each of th...
https://education.ti.com/en/activity/detail/graphs-of-tangent-cotangent-secant-and-cosecant

Graphs of Sine and Cosine

The goal of this activity is for students to see how the graphs of sine and cosine are generated and related to the unit circle. A point is animated around the unit circle as data points are captured to create a scatter plot.
https://education.ti.com/en/activity/detail/graphs-of-sine-and-cosine

Proof of Identity

Students use graphs to verify the reciprocal identities. They then use the handheld's manual graph manipulation feature to discover the negative angle, cofunction, and Pythagorean trigonometric identities. Geometric proofs of these identities are given as well.
https://education.ti.com/en/activity/detail/proof-of-identity_1

The Unit Circle

Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.
https://education.ti.com/en/activity/detail/the-unit-circle

Parameters in Secondary School: Logistics Functions

Designed for prospective secondary mathematics teachers, this activity has students predict, test and justify the effects of changing parameters d and b for the logistic function family given by f(x) = a/(1+b(e)^(cx)) + d. Reflection questions draw attention to the role of claims and evidence, in...
https://education.ti.com/en/activity/detail/parameters-in-secondary-school-logistics-functions

The Function Elevator

This lesson involves creating and comparing graphical representations of position and velocity functions from a scenario.
https://education.ti.com/en/activity/detail/the-function-elevator

Quadratic Formula and Discriminant

This interactive quiz first steps students through the derivation of the quadratic formula by completing the square, and then generates random quadratics for which students need to show the steps of solving by first finding the value of the discriminant, and then using it in the formula. There ar...
https://education.ti.com/en/activity/detail/quadratic-formula-and-discriminant

Investigating the Graphs of Quadratic Equations

A graph of a quadratic equation will be shown. Also shown is the equation of the parabola in vertex form: y = a*(x - h)^(2) + v. And an ordered pair for one the points on the parabola will be shown on the screen. Use the pointer tool to double click on the equation on the graph screen. This wil...
https://education.ti.com/en/activity/detail/investigating-the-graphs-of-quadratic-equations

Living on the Edge

Students build a solution to a rather complex problem: Finding the edge length of an octahedron given its volume by solving two simpler problems first.
https://education.ti.com/en/activity/detail/living-on-the-edge_1

Discriminant Testing

Discover the relationship between the value of the discriminant and the nature of the roots of quadratic functions.
https://education.ti.com/en/activity/detail/discriminant-testing

Dilations with Matrices

In this activity, students will use matrices to perform dilations centered at the origin of triangles. Students will explore the effect of the scale factor on the size relationship between the preimage and image of a polygon.
https://education.ti.com/en/activity/detail/dilations-with-matrices_1

Constructing an Ellipse

Students will explore two different methods for constructing an ellipse. Students discover that the sum of the distances from a point on an ellipse to its foci is always constant. This fact is then used as the basis for an algebraic derivation of the general equation for an ellipse centered at th...
https://education.ti.com/en/activity/detail/constructing-an-ellipse_1

Extraneous Solutions

Discover solutions of radical equations and investigate extraneous solutions.
https://education.ti.com/en/activity/detail/extraneous-solutions

Given the Graph of a Parabola, State its Equation in Vertex Form

This activity is designed for students to study on their own. It is designed in a 'StudyCard' format. A graph of a parabola will be shown. The student is asked to find the equation of the parabola in vertex form: y = a*(x - h)^(2) + v. Press enter on the double up arrow in the Ans... section t...
https://education.ti.com/en/activity/detail/given-the-graph-of-a-parabola-state-its-equation-in-vertex-form

Getting Ready for Quadratics

This activity is intended as a skill-building exercise to familiarize students with TI-Nspire skills they will need to work through a unit studying the properties of quadratic functions. The activity includes exercises on Creating a Scatter Plot, Finding a Curve of Best Fit, and Tracing a Function.
https://education.ti.com/en/activity/detail/getting-ready-for-quadratics

The Quadratic Formula and the Discriminant

الرياضيات للصف الثاني الثانوي - الفصل الدراسي الأول 2-3 القانون العام والمميز The Quadratic Formula and the Discriminant مثال رقم 1 صفحة رقم 110 من كتاب العبيكان عن MC Graw Hill Education إعداد المعلمة جلنار سلاّم.
https://education.ti.com/en/activity/detail/the-quadratic-formula-and-the-discriminant

Factoring Trinomials

Discover how the coefficients of a given trinomial affect the factors.
https://education.ti.com/en/activity/detail/factoring-trinomials

Solving Systems of Linear Equations from Four Perspectives

Using the on-screen directions and the more detailed directions here, students will investigate four ways to solve systems of linear equations: graphically, numerically, with a data table and by matrices. Some prior familiarity with the basic functions of the TI-nspire CAS is needed. Students sho...
https://education.ti.com/en/activity/detail/solving-systems-of-linear-equations-from-four-perspectives

Drawing Dynamic Vectors with NSpire

This is a "how to" file for drawing vectors with a split screen with NSpire.
https://education.ti.com/en/activity/detail/drawing-dynamic-vectors-with-nspire

End Behavior of Polynomial Functions

Students will use a slider to scroll through the graphs of power functions with a coefficient of positive and negative 1 and determine similarities and differences among the functions. Students will generalize the end-behavior properties of various power functions.
https://education.ti.com/en/activity/detail/end-behavior-of-polynomial-functions

Eccentricity of Polar Equations of Conics

This activity will give students a series of polar equations of conics to discover a pattern of the eccentricity of each type of conic.
https://education.ti.com/en/activity/detail/eccentricity-of-polar-equations-of-conics

Expanding Binomials

In this activity, students will explore the link between Pascal's Triangle and the expansion of binomials in the development of the Binomial Theorem.
https://education.ti.com/en/activity/detail/expanding-binomials_1

Equations of Parabolas

Students draw and measure lines and segments to discover properties of parabolas, specifically that the distance from any point on the parabola is equidistant to the focus and the directrix. They work with parabolas whose vertex is on the origin as well as off the origin and they also with parabo...
https://education.ti.com/en/activity/detail/equations-of-parabolas

Extraneous Solutions

Students will solve quadratic equations step by step graphically. They will discover that some of the equations have an extraneous solution and they will investigate at which step in solving the equation that these extra solutions appear.
https://education.ti.com/en/activity/detail/extraneous-solutions

Solution 34494: Creating a Scatter Plot on the TI-83 Plus and TI-84 Plus Family of Graphing Calculators.

Solution 34494: Creating a Scatter Plot on the TI-83 Plus and TI-84 Plus Family of Graphing Calculators. Solution 34494: Creating a Scatter Plot on the TI-83 Plus and TI-84 Plus Family of Graphing Calculators. global Solution 34494: Creating a Scatter Plot on the TI-83 Plus and TI-84 Pl...
https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/34494