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Round and Round She Goes...

Students will explore relationships on a unit circle by identifying coordinates of points given an angle measure in degrees.
https://education.ti.com/en/activity/detail/round-and-round-she-goes

Graphs of the OTHER Trig Functions

This lesson involves providing opportunities for students to explore and make sense of the graphs of the cotangent, secant, and cosecant functions.
https://education.ti.com/en/activity/detail/graphs-of-the-other-trig-functions_1

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

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

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

Working Hard or Hardly Working?

Students analyze univariate and bivariate data. Questions are posed for discussion, further research, and algebraic problem solving.
https://education.ti.com/en/activity/detail/working-hard-or-hardly-working_1

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

Trigonometric Patterns

Students will use the unit circle to examine patterns in the six trigonometric functions.
https://education.ti.com/en/activity/detail/trigonometric-patterns

Introduction to Absolute Value

In this activity students will explore the definition of absolute value using a number line, plot points to graph y = |x|, and use sliders to perform transformations with absolute value functions.
https://education.ti.com/en/activity/detail/introduction-to-absolute-value

Area of the Missing Square

In this activity, students will be introduced to an area model for representing a quadratic equation. Students will explore the relationship between the value of b and c, in y = x2 + bx + c, form of the quadratic equation. The relationship will be examined with integer and non-integer values in o...
https://education.ti.com/en/activity/detail/area-of-the-missing-square_1

Basic Trigonometric Transformations

This lesson involves manipulating sliders to change the values of parameters in trigonometric functions and determining the effect that each change has upon the shape of the graph.  
https://education.ti.com/en/activity/detail/basic-trigonometric-transformations

TI-89 Titanium Operating System

The new functionality includes domain and graphing improvements, solving inequalities, solving equations involving vectors, nth root and log to any base functionality, implicit derivatives and gradian angle measure. TI Connect™ for Windows® or TI Connect™ for Macintosh® is req...This operating system (OS) version is a recommended update for all TI-89 Titanium units. The new functionality includes domain and graphing improvements, solving inequalities, solving equations involving vectors, nth root and log to any base functionality, implicit derivatives and gradian angle m...
https://education.ti.com/en/software/details/en/6633925F6176419197BF6CA051F5F7B4/89ti89tioperatingsystem

Epsilon-Delta Window Challenge

Make sense out of the formal mathematical definition of limit.
https://education.ti.com/en/activity/detail/epsilondelta-window-challenge

Crossing the Asymptote

This lesson involves determining when the graph of a rational function crosses its horizontal asymptote.
https://education.ti.com/en/activity/detail/crossing-the-asymptote

Investigation of End Behavior

Students explore end behavior of rational functions graphically, algebraically, and by using tables. They will use multiple representations to look at values a given function approaches as the independent variable goes to positive or negative infinity. Tools are provided which support them in usi...
https://education.ti.com/en/activity/detail/investigation-of-end-behavior

Identifying Sinusoidal Graphs

This lesson involves examining graphs, or partial graphs, of sinusoidal functions to determine the values of their parameters and to express them in various ways involving sine and cosine functions.
https://education.ti.com/en/activity/detail/identifying-sinusoidal-graphs

Stay Tuned Lab Sound Waveform Models

In this activity, students' will record the sound waveform of a tuning fork and analyze the waveform to determine frequency, period and amplitude information. They will model the waveform using trigonometric functions. This activity has been modified for TI-Nspire with the data in the activity file.
https://education.ti.com/en/activity/detail/stay-tuned-lab-sound-waveform-models

Trigonometric Patterns

Students use the unit circle to examine patterns in the six trigonometric functions.
https://education.ti.com/en/activity/detail/trigonometric-patterns@84

Parametrizing the Unit Circle

The purpose of this activity is to use parametric equations to "unwrap" the unit circle. This process will allow students to obtain the graph of the function y = sin(x).
https://education.ti.com/en/activity/detail/parametrizing-the-unit-circle

Reflective Property of Conics

This lesson involves investigating the properties of basic reflective principles of conics.
https://education.ti.com/en/activity/detail/reflective-property-of-conics

Nonlinear Systems of Equations

Students will be introduced to nonlinear systems of equations. It begins by allowing students to move figures around the screen to see ways certain types of graphs (linear/conic and conic/conic) can intersect each other and how many possible intersection points are possible. The activity conclude...
https://education.ti.com/en/activity/detail/nonlinear-systems-of-equations

Helicopter Bungee Jump

In this activity, students will observe a simulation of a record breaking bungee jump, consider a mathematical model of the height as a function of time, and take the derivative to determine points of interest like the minimum height, maximum velocity, acceleration, and maximum jerk. Students wil...
https://education.ti.com/en/activity/detail/helicopter-bungee-jump_1

Exploring Linear Equations

Students will enter "life expectancy" data into lists and set up scatter plots and trace the scatter plot to select two points. Secondly, they will use the points to calculate slope and write a linear equation. Finally, they will use the Transformation Graphing App to fit the data using a linea...
https://education.ti.com/en/activity/detail/exploring-linear-equations_2

Exploring Linear Relationships -- Stacking Cups and Walking Rates

In this activity, students will explore several examples of linear relationships. They will use a table to organize data that they collect and will make graphs to display that data. Students are prompted to write equations and interpret slope as a rate of change.
https://education.ti.com/en/activity/detail/exploring-linear-relationships--stacking-cups-and-walking-rates

Conics In Winter

Students explore conic graphing using a polar notation equation and determine the effects the various variables on the graph.
https://education.ti.com/en/activity/detail/conics-in-winter