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Vernier - Chill Out: How Hot Objects Cool

Students use a temperature probe to collect data as the warmed probe cools. Students investigate Newton's law of cooling and model cooling data with an exponential function. They fit the data to a mathematical model after analysis.
https://education.ti.com/en/activity/detail/vernier--chill-out-how-hot-objects-cool

Stacking Bricks

This activity presents a real-world situation--stacking bricks in a pile--that can be modeled by a polynomial function. 
https://education.ti.com/en/activity/detail/stacking-bricks_1

Trigonometric Transformations

Students will use a slider to animate the graphing of a function of time that models the height of a capsule on the London Eye observation wheel as the wheel turns. Students will discover the concepts of amplitude, frequency, period, and midline. Students will create an appropriate equation to mo...
https://education.ti.com/en/activity/detail/trigonometric-transformations

Compound Interest: Show Me the Money

This is an activity at the conclusion of the exponential relationship unit where students have experience with equations in the form y=a*b^x. Students use the random integer function on the TI-83 Plus to generate a rate of return for the investment profile they choose.
https://education.ti.com/en/activity/detail/compound-interest-show-me-the-money

Cell Phone Range

Students will learn to identify the domain and range of various real-world step functions. They will graphically explore numerical data points and observe step functions.
https://education.ti.com/en/activity/detail/cell-phone-range

Linear Equations Jeopardy

This activity is designed as a review of linear equations. Students will review slope, functions, writing equations in slope-intercept form, and point-slope form.
https://education.ti.com/en/activity/detail/linear-equations-jeopardy

Linear Functions using the CBL 2™

Students will generate data on the CBL 2™ to represent a linear function. They will investigate the slope of a direct variation. Then they will use different starting points to represent y intercept.
https://education.ti.com/en/activity/detail/linear-functions-using-the-cbl-2

Graphing Quadratic Functions

Students graph quadratic functions and study how the constants in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs. The first part of the activity focuses on the vertex form, while the second part focuses on the standard form. Both activities include...
https://education.ti.com/en/activity/detail/graphing-quadratic-functions_1

Exploring Vertical Asymptotes- 84

This lesson involves observing how changing the values in a rational function affects the continuity of the graph of the function.
https://education.ti.com/en/activity/detail/exploring-vertical-asymptotes_1

Area of Rectangles with Fixed Perimeter

The students will construct several rectangles with different dimensions, all having the same perimeter. The area of each rectangle is then computed and plotted against the width of each rectangle. The students will discover that the area is a quadratic function of the width. They will also dis...
https://education.ti.com/en/activity/detail/area-of-rectangles-with-fixed-perimeter

Multiplicity of Zeros of Functions

In this activity for the TI-84 Plus CE Family,  students will utilize graphs and equations of polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis or is tangent to the x-axis at the zeros.
https://education.ti.com/en/activity/detail/multiplicity-of-zeros-of-functions_1

Asymptotes and Zeros of Rational Functions

In this activity, students relate the graph of a rational function to the graphs of the polynomial functions of its numerator and denominator. Students graph these polynomials one at a time and identify their y-intercepts and zeros.
https://education.ti.com/en/activity/detail/asymptotes-and-zeros-of-rational-functions

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_1

Introduction to Absolute Value

Students numerically explore absolute values using the calculator, plot points to graph y = |x|, and use the Transform application to perform transformations with absolute value functions.
https://education.ti.com/en/activity/detail/introduction-to-absolute-value_1

Introducing Families of Functions

Students will be able to identify important characteristics of specific function families. This activity focuses on linear and quadratic functions, but can be easily adapted to work with any family.
https://education.ti.com/en/activity/detail/introducing-families-of-functions

Intercepts, Zeros, Roots, Factors, & Solutions

During the activity, students will use the CALCULATE functions, POLYSMLT, and the graphing capabilities of their grapher to analyze the relationship between, x-intercepts, zeros, roots, factors, and solutions of polynomial functions/equations.
https://education.ti.com/en/activity/detail/intercepts-zeros-roots-factors--solutions

Radical Transformations

Students will use the Transformational Graphing application to examine how the square root function is transformed on the coordinate plane.
https://education.ti.com/en/activity/detail/radical-transformations

Trig Ratios - IB

In this activity, students will use Cabri™ Jr. to discover the relationship between the trigonometric functions: sine, cosine and tangent and the side length ratios of a right triangle.
https://education.ti.com/en/activity/detail/trig-ratios

Operations of Integers

This set of multiple choice questions asks students to find the intercepts and vertices of quadratic functions. Solutions are included.
https://education.ti.com/en/activity/detail/operations-of-integers

Nevada's Population

Students examine patterns and use these patterns to try to predict different aspects of an event. They study the statistical patterns for the population of the state of Nevada over a period of hundred years, and predict the population in the year 2010. Students learn to graph scatter plots, graph...
https://education.ti.com/en/activity/detail/nevadas-population

Too Many Choices!

Students investigate the fundamental counting principle, permutations, and combinations.
https://education.ti.com/en/activity/detail/too-many-choices

Using the TI-83/84 to Explore the Binomial Theorem

This lesson will introduce students to the binomial theorem through a variety of activities. Pascal's triangle and probabilities will be explored through problem solving. The binomial theorem, combinations formula, and the binomial probability function will also be explored. Students will dis...
https://education.ti.com/en/activity/detail/using-the-ti8384-to-explore-the-binomial-theorem

Exploring Quadratic Data

Students will analyze the vertex form of a parabola and find an approximate fit of a model. They will study the quadratic function (parabola) and its properties by developing quadratic models. They also use translation and dilation to change the general parabola.
https://education.ti.com/en/activity/detail/exploring-quadratic-data

Prodigious! Quadratics and Free Fall Motion

Uses the movie "October Sky" as an introduction to the study of free fall motion functions. Acts a summation activity to a quadratic unit in Algebra Solve quadratic equations by graphing, factoring, and the quadratic formula.
https://education.ti.com/en/activity/detail/prodigious-quadratics-and-free-fall-motion

Polynomial Addition, Subtraction

This StudyCards™ stack teaches that, when linear functions are added, the slope of the sum is equal to the sum of the slopes, likewise for y-intercepts. Includes quadratic and up polynomials. Use with Foundations for College Mathematics, Ch. 3.2.
https://education.ti.com/en/activity/detail/polynomial-addition-subtraction