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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/unit-circle_1

Investing in Your Future - Using Spreadsheets to Make Comparisons

This activity provides students the opportunity to make financial decisions based on different investment scenarios. Students will use the spreadsheet application of the TI-Nspire calculator to compare the results of investing in a certificate of deposit or a Money Market Account. Students will p...
https://education.ti.com/en/activity/detail/investing-in-your-future--using-spreadsheets-to-make-comparisons

Unit Circle template

This is a one page unit circle template that you can copy and paste into a document that you are creating. To make it fit the screen, change the document settings to "float 3," and I used degrees instead of radians for all of the angles up to 180 degrees. You will also want to view in "handheld...
https://education.ti.com/en/activity/detail/unit-circle-template

Trigonometry: What's My Move?

This can be used as a discovery or review activity for students to learn the various transformations of a trigonometric curve in the form of y=AcosB(x-C)+D.
https://education.ti.com/en/activity/detail/trigonometry-whats-my-move

Application of Maximum-Minimum Problems

Students will use a graphing approach to find the minimum costs of running a new line from a power station to a point on an island. Students will begin with a scaled drawing and follow the prompts. They will also manually collect data and find a curve of best fit.
https://education.ti.com/en/activity/detail/application-of-maximumminimum-problems

It's All About Food Activity

This is a follow up activity to You Are What You Eat where students are comparing estimated calories versus actual calories and making conjectures based on their scatterplot graphs.
https://education.ti.com/en/activity/detail/its-all-about-food-activity

Law of Cosines

Students are introduced to the concept of the Law of Cosines. They will explore the concept graphically, numerically, and algebraically. They will discover the Law of Cosines at the conclusion of the activity using TI-Nspire CAS.
https://education.ti.com/en/activity/detail/law-of-cosines

400 Meter World Records

Student will find the Med/Med line equation for the world records in the men's 400 meter dash from 1912 to 2000. Students will use scatter plots to graph the list they have typed into a spreadsheet, Students will use the handheld to get answers for work that is required to solve the problem. The...
https://education.ti.com/en/activity/detail/400-meter-world-records

What's My Absolute Value

Students will discover what taking the absolute value of a domain will do and what taking the absolute value of a range will do.
https://education.ti.com/en/activity/detail/whats-my-absolute-value

Focus/Directrix Definition of Conics

This lesson involves observing and describing relationships between the focus and the directrix of each conic: parabolas, ellipses, and hyperbolas.
https://education.ti.com/en/activity/detail/focusdirectrix-definition-of-conics

Folding Parabolas

In this activity, students graph a quadratic function and investigate its symmetry by choosing pairs of points with the same y-value. They then calculate the average of the x-values of these points and discover that not only do all the points have the same x-value, but the average is equal to the...
https://education.ti.com/en/activity/detail/folding-parabolas

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

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