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
Parametric Equations
We express most graphs as a single equation which involves two variables, x and y. By using parametric mode on the calculator you may use three variables to represent a curve. The third variable is t, time. (Topics - parametric functions)https://education.ti.com/en/activity/detail/parametric-equations
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
Dynagraphs
This lesson involves using a dynagraph to explore the relationship between the input and the output of a given function.https://education.ti.com/en/activity/detail/dynagraphs
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
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
The Dirty Dawg Salon
In this activity, students will work through a scenario of a business venture involving washing dogs. They will translate fixed and variable costs to a cost function and make a decision about how much to charge to wash per dog. When the break-even point is found, students must interpret it to ans...https://education.ti.com/en/activity/detail/the-dirty-dawg-salon
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
Sequence Investigation
In this activity, students will use a calculator page to create an arithmetic sequence. Through this they will learn some of the vocabulary of sequences. Then students will then use slider functionality to explore the effect of each variable in the formula of the nth term of an arithmetic sequenc...https://education.ti.com/en/activity/detail/sequence-investigation_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
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
Products of Linear Functions
This lesson involves polynomial functions viewed as a product of linear functions.https://education.ti.com/en/activity/detail/products-of-linear-functions
Polly, Want Some Division?
In this activity, students will use polynomial calculations to determine quotients and remainders when performing polynomial division using CAS commands. The Remainder Theorem is introduced and applied to identify roots or zeros and to determine function values. Graphs are incorporated to visuall...https://education.ti.com/en/activity/detail/polly-want-some-division
Exponential Dice
This lesson involves using a simulation to generate data that can be modeled by exponential growth and decay functions.https://education.ti.com/en/activity/detail/exponential-dice
One Sided Limits
Students will be given piecewise functions and asked to evaluate both the left-hand limit and the right-hand limit of the function as x approaches a given number, c. Using sliders, students will estimate the value of the missing variable that makes the left-hand limit and the right-hand limit equal.https://education.ti.com/en/activity/detail/one-sided-limits_1
Taylor Polynomials
Students learn to define a Taylor polynomial approximation to a function f of degree n about a point x = a. They also learn to graph convergence of Taylor polynomials. They use Taylor polynomials to approximate function values.https://education.ti.com/en/activity/detail/taylor-polynomials_1
Bouncing Ball
In this activity, students examine the motion of a ball as it falls under the influence of gravity. The parameters in the vertex form of the quadratic equation Y = A(X - H)2 + K are determined to describe the behavior of a ball bounce.https://education.ti.com/en/activity/detail/bouncing-ball
Bouncing Ball
In this activity, students examine the motion of a ball as it falls under the influence of gravity. The parameters in the vertex form of the quadratic equation Y = A(X - H)2 + K are determined to describe the behavior of a ball bounce.https://education.ti.com/en/activity/detail/bouncing-ball_ns
Modeling Probabilities
This activity approaches probability distributions as functions taking information about a dataset as inputs and outputting a set of probabilities. This is analogous to the familiar process of choosing a function to model a set of x-y pairs. Students use simulations to explore increasing number o...https://education.ti.com/en/activity/detail/modeling-probabilities_1