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Transformations: Dilating Functions

Dilate and reflect different types of function graphs by grabbing points.
https://education.ti.com/en/activity/detail/transformations-dilating-functions

Local Linearity

Students explore zooming in on various functions including piecewise functions.
https://education.ti.com/en/activity/detail/local-linearity

Function Notation

Investigate and understand the symbolic language in the notation of functions used in mathematics.
https://education.ti.com/en/activity/detail/function-notation_1

Logarithmic Transformations

Test knowledge and determine the logarithmic function for a given graph.
https://education.ti.com/en/activity/detail/logarithmic-transformations

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

Stacking Bricks - 84

This activity presents a real-world situation--stacking bricks in a pile--that can be modeled by a polynomial function. Students create a small table to show how the number of bricks relates to the number of rows, and calculate the first, second, and third differences of the data. Next they use t...
https://education.ti.com/en/activity/detail/stacking-bricks

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

Graphing Transformations

Combine movement and mystery while graphing transformation and piecewise functions.
https://education.ti.com/en/activity/detail/graphing-transformations

Dinner Party

In this activity, students investigate the total cost of a private party at each of three restaurants. They will model the cost of a party at each restaurant with the graph of a linear function.
https://education.ti.com/en/activity/detail/dinner-party

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