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
Interpreting R -squared
This lesson involves predicting values of a particular variable.https://education.ti.com/en/activity/detail/interpreting-r-squared
The Area Between
Students will find the area between two curves while determining the required amount of concrete needed for a winding pathway and stepping stones.https://education.ti.com/en/activity/detail/the-area-between_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
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
Slope Fields Forever
Dynamically explore a particular solution to a differential equation for different initial conditions and investigate slope fields.https://education.ti.com/en/activity/detail/slope-fields-forever_1
Independence Is the Word
Students use a simulation to find the experimental probability of independent events. They will find the sample space and then compare the experimental and theoretical probabilities.https://education.ti.com/en/activity/detail/independence-is-the-word
Slope Fields
Use a visual representation of the family of solutions to a differential equation.https://education.ti.com/en/activity/detail/slope-fields
Simple Harmonic Motion
With an example of the motion of a child on a swing, the activity begins with the trigonometric function between time and displacement and differentiates up to acceleration.https://education.ti.com/en/activity/detail/simple-harmonic-motion_1
One- and Two-Variable Statistics--Review
In this activity, students will review the concepts that they have learned thus far in statistics. The first part of the activity includes one-variable topics such as graphing quantitative variables, calculating measures of central tendency and spread, and making comparisons. The second part incl...https://education.ti.com/en/activity/detail/one-and-twovariable-statisticsreview_1
Sequences
Graphically evaluate the limit of a sequence.https://education.ti.com/en/activity/detail/sequences
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
Sign of the Derivative
Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.https://education.ti.com/en/activity/detail/sign-of-the-derivative
Solids of Revolution
Students will investigate 3D visualizations of volumes created by rotating a function 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 theo...https://education.ti.com/en/activity/detail/solids-of-revolution
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
Olympic Gold (Regression Wisdom)
This activity takes a deeper look into the use of linear regressions. It addresses some of the limitations and common mistakes encountered with regressions.https://education.ti.com/en/activity/detail/olympic-gold-regression-wisdom
Looking Normal
This lesson involves examining multiple samples taken from a single approximately normal population.https://education.ti.com/en/activity/detail/looking-normal
Taylor Polynomials with CAS
Powerful tool for discussing graphs of Taylor polynomials.https://education.ti.com/en/activity/detail/taylor-polynomials
Taylor Polynomial Examples
Taylor polynomials associated with five common functions.https://education.ti.com/en/activity/detail/taylor-polynomial-examples
Percentiles
The goal of this activity is for students to use the area to the left of a value in a normal distribution to find its percentile. The process will then be reversed to find the value for a given percentile.https://education.ti.com/en/activity/detail/percentiles_ib_ns
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