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The Factor Connection

In this activity, students will explore the connection between linear factors and quadratic functions. Transformations of quadratic functions will be used to develop and enhance the connection between factors, zeros, and graphs. It will make full use of the dynamic ability to manipulate graphs...
https://education.ti.com/en/activity/detail/the-factor-connection

Radio Station KTNS

This lesson involves determining the distance one can hear a radio station as a function of the range of the station.
https://education.ti.com/en/activity/detail/radio-station-ktns

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

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

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

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

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

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

Polynomial Multiplication

This StudyCards™ set shows that the product of linear functions (polynomial) is usually quadratic. Students discover the exact product and more traditional methods for multiplying polynomials. Use with Foundations for College Mathematics, Ch. 3.3.
https://education.ti.com/en/activity/detail/polynomial-multiplication

Ratio of Areas

In this activity, students use the CellSheet™ Application to determine geometric ratios of areas. Students determine the position of the vertices of a square that has all four vertices on the sides of a larger square and has a specified area. They also learn how quadratic functions can model geom...
https://education.ti.com/en/activity/detail/ratio-of-areas

REAL LIFE REAL WORLD Activity: Archeologist Frieze Patterns

Archeologists, when classifying artifacts, often take note of the physical properties or attributes of artifacts, such as the materials from which the artifacts are made, and their size, shape, function, and decoration. Friezes are often seen as ornaments in architecture. Frieze patterns can be f...
https://education.ti.com/en/activity/detail/real-life-real-world-activity-archeologist-frieze-patterns

Rational Addition, Subtraction

This StudyCardstrade; stack covers adding (or subtracting) numerators with simple to complex denominators. The set ends with sums or differences of rational functions with different denominators. Use with Foundations for College Mathematics, Ch. 7.4.
https://education.ti.com/en/activity/detail/rational-addition-subtraction

Say What You Mean!

This is a fun activity that has students determining how grades could be adjusted should a curve be given. Students will experiment with lists and stat plots to determine if their adjustments create a line or a curve when plotted on a graph.
https://education.ti.com/en/activity/detail/say-what-you-mean

Biorhythms and Sinusoidal functions

In order to see an application of sinusoidal curves that has relevance to themselves students will compute their biorhythm information, find the sinusoidal function that fits the information and graph them on the graphing calculator. They will use this information to compute future "good" and "b...
https://education.ti.com/en/activity/detail/biorhythms-and-sinusoidal-functions

Investigating the Parabola in Vertex Form (y = ax2 + bx + c)

In this activity, students investigate the standard form of the quadratic function, y = ax2 + bx + c. They investigate the changes on the graph of a quadratic equation that result from changes in A, B, and C. They also locate the vertex of a parabola when its quadratic equation is expressed in st...
https://education.ti.com/en/activity/detail/investigating-the-parabola-in-vertex-form-y--axsup2sup--bx--c

It's a Radical, Rational Universe!

Students explore values and optimization of rational and radical functions in real contexts by graphing and using spreadsheets.
https://education.ti.com/en/activity/detail/its-a-radical-rational-universe_1

Finding Extraneous Solutions

In this activity, students will graphically solve a radical equation. They are given each step of solving the equation. For each step students are to graph each side of the equation as a separate function and find the intersection. Students will determine in which step the extraneous solution app...
https://education.ti.com/en/activity/detail/finding-extraneous-solutions

Wrapping It All Up

Students recognize the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions.
https://education.ti.com/en/activity/detail/wrapping-it-all-up

Getting Started with Conic Graphing App

The Conic Graphing Application provides enhanced conics functions to the already powerful TI-83 Plus and TI-84 Plus. Graph or trace circles, ellipses, hyperbolas, and parabolas and solve for the conic's characteristics. Present equations in function, parametric, or polar form.
https://education.ti.com/en/activity/detail/getting-started-with-conic-graphing-app

Get Your Numbers in Shape (TI-83/84 Family)

Students produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. Students also find the Y-value of a function if the X-value is provided, and vice versa.
https://education.ti.com/en/activity/detail/get-your-numbers-in-shape-ti8384-family

Playing with the Transformation Application

Students try to fit a quadratic function to the 200 m world record data using the transformation graphing application.
https://education.ti.com/en/activity/detail/playing-with-the-transformation-application

Inequality Graphing App

Students explore inequalities by entering inequalities using symbols, plot their graphs (including union and intersection shades), store (x, y) coordinate pairs as lists, enter inequalities with vertical lines in an X= editor, and trace points of interest (such as intersections) between functions.
https://education.ti.com/en/activity/detail/inequality-graphing-app