Exploring Functions
Students will explore functions and identify domain and range using graphs, equations, and function tables. This activity was created for students who have had a lesson of functions and have some basic knowledge of TI-Nspire technology.https://education.ti.com/en/activity/detail/exploring-functions
MVT for Integrals
Demonstrate how the average value of a function over an interval is related to the definite integral.https://education.ti.com/en/activity/detail/mvt-for-integrals
Graphs of Polynomial Functions
The activity begins by having students compare functions to introduce the concept of end behavior. Then they graph cubics and quartics, noting the respective end behaviors for positive and negative leading coefficients. Finally, they compare quadratics to quartics and cubics to quintics to discov...https://education.ti.com/en/activity/detail/graphs-of-polynomial-functions
Multiplicity of Zeros of Functions
Students will utilize graphs and equations of five polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis at these zeros or just touch the x-axis at the zeros. Then students will determine the degree of the polynomial functions and the effect the d...https://education.ti.com/en/activity/detail/multiplicity-of-zeros-of-functions
Inverse Trig Functions
This activity works backwards by giving students the inverse functions and having them discover how they relate to the original functions. By tracing along the inverse function, data is collected and then plotted on a statplot. The variables are then switched on the statplot. The new plot and ...https://education.ti.com/en/activity/detail/inverse-trig-functions
How to Save Functions and Take Derivatives
Saving Functions and Take Derivatives using Your Ti-Nspire CAS CXhttps://education.ti.com/en/activity/detail/how-to-save-functions-and-take-derivatives
400 Meter World Records
Student will find the Med/Med line equation for the world records in the men's 400 meter dash from 1912 to 2000. Students will use scatter plots to graph the list they have typed into a spreadsheet, Students will use the handheld to get answers for work that is required to solve the problem. The...https://education.ti.com/en/activity/detail/400-meter-world-records
Folding Parabolas
In this activity, students graph a quadratic function and investigate its symmetry by choosing pairs of points with the same y-value. They then calculate the average of the x-values of these points and discover that not only do all the points have the same x-value, but the average is equal to the...https://education.ti.com/en/activity/detail/folding-parabolas
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
Standard Form of Quadratic Functions
Use sliders to determine the effect the parameters have upon a quadratic function in standard form.https://education.ti.com/en/activity/detail/standard-form-of-quadratic-functions
Hose Problem
Investigating the behaviour of water jets from a hose. Suitable for Year 10 extension or Year 11 students. Graphing parabolas, features of quadratic functions, regression lines. Using TI-Nspire.https://education.ti.com/en/activity/detail/hose-problem
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
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
Vertex and Factored Form of Quadratic Functions
Determine the effect of parameters have upon the graph of the quadratic function in vertex and factored form.https://education.ti.com/en/activity/detail/vertex-and-factored-form-of-quadratic-functions
Solving Systems of Linear Equations from Four Perspectives
Using the on-screen directions and the more detailed directions here, students will investigate four ways to solve systems of linear equations: graphically, numerically, with a data table and by matrices. Some prior familiarity with the basic functions of the TI-nspire CAS is needed. Students sho...https://education.ti.com/en/activity/detail/solving-systems-of-linear-equations-from-four-perspectives
End Behavior of Polynomial Functions
Students will use a slider to scroll through the graphs of power functions with a coefficient of positive and negative 1 and determine similarities and differences among the functions. Students will generalize the end-behavior properties of various power functions.https://education.ti.com/en/activity/detail/end-behavior-of-polynomial-functions
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
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
REAL LIFE REAL WORLD Activity: Archeologist Frieze Patterns
... made, and their size, shape, function, and decoration. Friezes are often seen as ornaments in architecture. Frieze patterns can be found around the eaves of some old buildings. Translations can be used to create these patterns. In this activity, you will use Cabri Jr.™ software to create some fr...https://education.ti.com/en/activity/detail/real-life-real-world-activity-archeologist-frieze-patterns
Graphs of Quadratic Functions in Vertex Form
TI Explorations books has a great activity for TI InterActive!™ in graphing parabolas in vertex form. What if you don't have TI InterActive! or a lab to take your students, but you do have a class set of TI-83 or TI-84. This activity explores the affects of a, h, and k on the function y=a(x - h)...https://education.ti.com/en/activity/detail/graphs-of-quadratic-functions-in-vertex-form
Behaviors-Rational Functions
This StudyCards™ set teaches and tests on the rational function. Shows connection between the function parameters and the resulting geometric behaviors of the rational function. Use with Foundations for College Mathematics, Ch. 7.1.https://education.ti.com/en/activity/detail/behaviorsrational-functions
Breaking Up Over Model Bridges
The learning objective of this activity is to introduce the concept of reciprocal functions having the form: xy = k or y = f(x) = k/x, where k is a constant and x and y are variables. In Part I, twelve one inch paper squares arranged in various rectangles illustrate that length x width = 12 sq...https://education.ti.com/en/activity/detail/breaking-up-over-model-bridges
Background Images with Navigator Activity Center
This is a collection of activities using the Navigator Activity Center. Each activity has a background image, activity settings, and two list (L1 is x-coordinates and L2 is y-coordinates.) There are two Word documents. The first explains how to create these activities using TI-Connect and Act...https://education.ti.com/en/activity/detail/background-images-with-navigator-activity-center
Interval Notation
This StudyCards™ stack is a teaching activity on understanding interval notation. It uses functions and function behaviors as the context for needing and using interval notation. Use with Foundations for College Mathematics, Ch. 1.3.https://education.ti.com/en/activity/detail/interval-notation