Areas In Intervals
Students use several methods to determine the probability of a given normally distributed value being in a given interval. First, they use the Integral tool to find areas under the curve and to the left of given values. Students continue the activity to find probabilities for which the correspond...https://education.ti.com/en/activity/detail/areas-in-intervals
The Derivatives of Logs
Students will use the Chain Rule to find the derivative of more complex exponential and logarithmic functions.https://education.ti.com/en/activity/detail/the-derivatives-of-logs
The Classic Box Problem - Calculus
The Box_Problem_Calculus.tns document takes a classic problem from calculus and uses the dynamic linking capabilities of TI-Nspire to enact the problem in multiple representations: diagramatic, graphic, numeric, geometric, and symbolic. The problem is posed on the title screen shown at the right.https://education.ti.com/en/activity/detail/the-classic-box-problem--calculus
Exploring Complex Roots
In this activity, you will explore the relationship between the complex roots of a quadratic equation and the related parabola's graph. Open the file CollegeAlg_ComplexRoots.tns on your TI-Nspire handheld device to work through the activity.https://education.ti.com/en/activity/detail/exploring-complex-roots
Binomial Pdf- Eye Color
This lesson involves binomial trials, distributions, and probabilities. Students can create the tns file following the steps in Binomial_Pdf_Create_Eye_Color, or they can use the premade file Binomial_Pdf_Eye_Color.tnshttps://education.ti.com/en/activity/detail/binomial-pdf-eye-color
Binomial Experiments
Students use the multiplication rule for independent events to find the probability of the first success in the nth trial. Students use their results to derive and test a general formula. Then, students expand on this foundation to derive and test a rule for the probability of x successes in n tr...https://education.ti.com/en/activity/detail/binomial-experiments
Assessing Normality
In this activity, students will learn four characteristics of a normal curve: the distribution is symmetric and mound-shaped; the mean and median are approximately equal; the distribution meets the 68-95.5-99.7 rule; and the normal probability plot is linear. They will use these to determine if a...https://education.ti.com/en/activity/detail/assessing-normality
Volume by Cross Sections
Students will be introduced to the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes.https://education.ti.com/en/activity/detail/volume-by-cross-sections_1
Velocity, Position, Distance
Work with linked representations of the horizontal motion of an object.https://education.ti.com/en/activity/detail/velocity-position-distance
Introduction to the Central Limit Theorem
Students discover the Central Limit Theorem by simulating rolls of two, four, and seven number cubes via the random number generator.https://education.ti.com/en/activity/detail/introduction-to-the-central-limit-theorem_1
Slopes of Secant Lines
Collect data about the slope of a secant line and then predict the value of the slope of the tangent line.https://education.ti.com/en/activity/detail/slopes-of-secant-lines
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
Influencing Regression
This lesson involves a least-squares regression line fit to a set of nine values.https://education.ti.com/en/activity/detail/influencing-regression
How Many? (Precalculus)
Students will be presented a situation in which they must use linear programming to determine the optimum production level to maximize profits.https://education.ti.com/en/activity/detail/how-many-precalculus
Influence and Outliers
In this activity, students will identify outliers that are influential with respect to the least-squares regression line. Students will describe the role of the location of a point relative to the other data in determining whether that point has influence on the least-squares regression line.https://education.ti.com/en/activity/detail/influence-and-outliers
Is it Rare?
Students use the Poisson distribution to determine the probabilities for various numbers of hurricanes hitting the United States in a given year. Students will also explore the graph of the Poisson distribution and how it behaves.https://education.ti.com/en/activity/detail/is-it-rare_1
Sequences
Graphically evaluate the limit of a sequence.https://education.ti.com/en/activity/detail/sequences
Second Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its second derivative.https://education.ti.com/en/activity/detail/second-derivative-grapher
Secant/Tangent Line Connection
Students will explore a real situation by minimizing the distance between two points on a secant line; ultimately making a connection to the slope of the tangent line and the difference quotient. Students will explore this graphically, numerically, and analytically. An extension at the end allo...https://education.ti.com/en/activity/detail/secanttangent-line-connection
Solids Of Revolution Between Two Curves
Students will investigate 3D visualizations of volumes created by rotating two functions about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental t...https://education.ti.com/en/activity/detail/solids-of-revolution-between-two-curves
Makin' It Through The Winter
Students simulate a binomial distribution and calculate probabilities for a variety of situations involving binomial probability distributions.https://education.ti.com/en/activity/detail/makin-it-through-the-winter_1
Taylor Polynomial Examples
Taylor polynomials associated with five common functions.https://education.ti.com/en/activity/detail/taylor-polynomial-examples
Random Samples
Compare the results of the three estimation methods to show that random samples of rectangles provide estimates that, on average, are closer to the true population mean than the other two methods.https://education.ti.com/en/activity/detail/random-samples
Somewhere in the Middle
In this activity, students will explore the Mean Value Theorem. Students will find out when the tangent line is parallel to the secant line passing through the endpoints of an interval to help them find the values of c guaranteed to exist by the MVT. Students will also test functions where the hy...https://education.ti.com/en/activity/detail/somewhere-in-the-middle_1
It's To Be Expected
Students use a tree diagram to find theoretical probabilities and use this information in a spreadsheet to find the expected value.https://education.ti.com/en/activity/detail/its-to-be-expected_1