Rational Roots of Polynomial Functions
In this activity, students apply the Rational Root Theorem in determining the rational roots of 4 polynomial functions. Results of the application of the theorem are compared to results obtained graphically to identify the presence of irrational roots.https://education.ti.com/en/activity/detail/rational-roots-of-polynomial-functions
When Is Tangent, tangent?
This activity combines the ideas of unit circle, and a line tangent to the unit circle to explain how Tangent (the trig. ratio) is related to the concept of tangent to a figure (from geometry). The intent is to briefly explore the mathematical history of the trigonometric ratio "tangent" through ...https://education.ti.com/en/activity/detail/when-is-tangent-tangent
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
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
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
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
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
Solve Absolute Value Equation
This StudyCards™ set moves from explaining what an equation is, to solving an equation. The function approach is used to solve the equations. Use with Foundations for College Mathematics, ch. 5-3.https://education.ti.com/en/activity/detail/solve-absolute-value-equation
Decimal Defender App
This App helps students practice multiplication and division with decimals in a fun environment. Students use this App to learn standard multiplication and division algorithms as well as understand topics such as scientific notation, the metric system, and more.https://education.ti.com/en/activity/detail/decimal-defender-app
Modeling Exponential Decay with a Look at Asymptotes
In this activity, students approximate exponential decay models by defining parameters A and B in the exponential equation y = abx. They identify non-zero asymptote form of an exponential function.https://education.ti.com/en/activity/detail/modeling-exponential-decay-with-a-look-at-asymptotes
Modeling Exponential Decay with a Look at Asymptotes - Activity 7
Students use sample data to approximate models with the Transformation Graphing Application. They are introduced to the idea of discrete data sets being used with continuous function models. They also identify non-zero asymptote form of an exponential function.https://education.ti.com/en/activity/detail/modeling-exponential-decay-with-a-look-at-asymptotes--activity-7
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
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
Given a graph...what is the function?
Understanding how to associate a function of a parabola with its graph. Students will explore varies functions and determine its graph. They will then use what they learned to predicate where a particular graph of a different function will appear on the coordinate plane.https://education.ti.com/en/activity/detail/given-a-graph---what-is-the-function
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
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
How Much Is That Phone Call?
Students will learn how step functions apply to real-world situations, about the notation associated with the greatest integer and least integer functions, and how to transform the greatest integer function.https://education.ti.com/en/activity/detail/how-much-is-that-phone-call
Exploring the Parabola and its Equation Part 1 and @
Starting with y=x^2 going all the way to (in part 2)y=ax^2+bx+c, how do changes in the quadratic equation/function change the appearance of the parabola.https://education.ti.com/en/activity/detail/exploring-the-parabola-and-its-equation-part-1-and
Graphing Families of Quadratic Functions
Students will use the Transfrm app to explore families of quadratic functions. Generalization about the effect of a, b and c coefficients have on the shape and position of the graph in general form, and the effect of a, h, and k in vertex form, will be summarized by students in their own words. S...https://education.ti.com/en/activity/detail/graphing-families-of-quadratic-functions
Building curves
Students approach performing the basic operations on the polynomials from a graphical perspective. Given the graphs of two functions, they plot points that lie on the graph of the sum of the functions and draw conclusions about its behavior. Next, they calculate a regression to fit the points the...https://education.ti.com/en/activity/detail/building-curves
LRAM_RRAM_MRAM -- A Graphical Investigation of how area under a curve is approx with rectangles.
This activity is designed for the student to investigate how area bounded by a curve and the x-axis can be approximated with areas of rectangles using LRAM, RRAM, MRAM.https://education.ti.com/en/activity/detail/lram_rram_mram--a-graphical-investigation-of-how-area-under-a-curve-is-approx-with-rectangles
Domain, Range and Function Mapping
Students explore the concept of domain, range and function mapping through a variety of visual representations. Interactive sets, ordered pairs and graphs provide for opportunities for students to explore, the idea is then flipped as students build a function to match the domain and range supplied.https://education.ti.com/en/activity/detail/domain-range-and-function-mapping
Evaluating Logarithms
In problem 1, students explore the logarithm (base 10) function and compare the functions y = 10x and y = log 10x first through a table of values, then through a graph. In problem 2, students explore logarithms with other bases via tables, graphs, the calculator application and the change of base...https://education.ti.com/en/activity/detail/evaluating-logarithms
Here's Looking At Euclid
Students first use the familiar prime factorization method to calculate the GCD and LCM of two numbers. Second, they apply Euclid’s algorithm, an iterative process for finding the GCD, in conjunction with a formula for the LCM given the GCD. In order to use the algorithm, they must first grasp th...https://education.ti.com/en/activity/detail/heres-looking-at-euclid
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