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
Remember When
In this activity, students will model the relationship between the year and average income, average price of a house, and average price of a car using exponential functions. Then students will answer questions related to the models to gain a deeper understanding of exponential functions.https://education.ti.com/en/activity/detail/remember-when
Compound Interest
This lesson involves exploring the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year.https://education.ti.com/en/activity/detail/compound-interest
Compositions Graphically
Students will use graphs and tables to find compositions of functions. Two of the compositions presented in this activity represent real-world situations, which should aid in students understanding the concept of compositions.https://education.ti.com/en/activity/detail/compositions-graphically
Composition of Functions
Students will determine the resulting functions produced from the composition of two functions. They will explore the graphical representation of the resulting function and support the algebraic solution by determining if the graphs coincide. Additionally, students will evaluate two points using ...https://education.ti.com/en/activity/detail/composition-of-functions
Application of Function Composition
Determine the domain and range of two functions and the composite functions.https://education.ti.com/en/activity/detail/application-of-function-composition
Why is the Sky Blue and When Will We Ever Use This?
Have you ever tried to come up with a real life example for a rational function with an exponent to the negative four? Have you ever wondered why the sky is blue? Here is a short example of the uses of a rational function.https://education.ti.com/en/activity/detail/why-is-the-sky-blue-and-when-will-we-ever-use-this
Exponential vs. Power
Compare rates of growth between an exponential function and a power function for positive x-values.https://education.ti.com/en/activity/detail/exponential-vs--power
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
Advanced Algebra Nomograph
This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find th...https://education.ti.com/en/activity/detail/advanced-algebra-nomograph
Function Composition
Explore the composition of a linear and a quadratic function.https://education.ti.com/en/activity/detail/function-composition
Plane Mirrors
In this lesson, students will investigate the relationship between an object and its image in a plane mirror. Understanding how plane mirrors work provides a useful scaffold for understanding more complex situations, such as those involving concave and convex mirrors.https://education.ti.com/en/activity/detail/plane-mirrors
Graphing Transformations
Combine movement and mystery while graphing transformation and piecewise functions.https://education.ti.com/en/activity/detail/graphing-transformations
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
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
Future Value of an Ordinary Annuity & Sinking Funds
In this activity, students carry out financial computations, involving annuity, and the future value of annuities. Students also deal with computations involving sinking funds.https://education.ti.com/en/activity/detail/future-value-of-an-ordinary-annuity--sinking-funds
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
Exploring Transformations with the Graphing Calculator
After an overview of coordinate notation, students explore transformations including translation, reflection, rotation, and dilation in a coordinate plane. The graphing calculator uses the list editor and functions with lists including the augment command and line graphs of familiar objects, a br...https://education.ti.com/en/activity/detail/exploring-transformations-with-the-graphing-calculator
Perimeter Pattern
...e a table of values. They will enter the data into the calculator, create a scatter plot and determine the viewing window. They will then graph the function they found to determine its relationship to the scatter plot and answer questions about the relationship using the table and graph feature...https://education.ti.com/en/activity/detail/perimeter-pattern
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
Write a Program to do Piecewise Functions
A fun activity to help students learn how to graph a piecewise function and learn how to write a BASIC program. Gives a sense of Accomplishment.https://education.ti.com/en/activity/detail/write-a-program-to-do-piecewise-functions
Just Move It - IB
In this activity for the TI-84 family, the movements of the parent functions f(x)= x2 and f(x)= x3 will be explored.https://education.ti.com/en/activity/detail/just-move-it_84_ib
Parametric Equations and Graph Data Bases
Parametric equations are equations that express the coordinates x and y as separate functions of a common third variable, called the parameter. You can use parametric equations to determine the position of an object over time.https://education.ti.com/en/activity/detail/parametric-equations-and-graph-data-bases