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
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
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
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
Margin of Error and Sample Size
This activity investigates the margin of error for a confidence interval and the relationship between sample size and the margin of error.https://education.ti.com/en/activity/detail/margin-of-error-and-sample-size
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
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
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
Resampling
This lesson involves approximate sampling distributions obtained from simulations based directly on a single sample. The focus of the lesson is on conducting hypothesis tests in situations for which the conditions of more traditional methods are not met.https://education.ti.com/en/activity/detail/resampling
Transforming Univariate Data
This lesson involves square root, logarithmic, square, and exponentiation transformations of skewed univariate data using a given data set.https://education.ti.com/en/activity/detail/transforming-univariate-data
How Many?
Students will explore Bernoulli probabilities. They will use them to calculate the probabilities of various single and cumulative events. They will also explore the Bernoulli probability distribution.https://education.ti.com/en/activity/detail/how-many
Transforming Relationships
In this activity, students will assess the strength of a linear relationship using a residual plot. They will also calculate the correlation coefficient and coefficient of determination to assess the data set. Students will then learn to transform one or two variables in the relationship to creat...https://education.ti.com/en/activity/detail/transforming-relationships_1
Transforming Bivariate Data
This lesson involves square root, semi-log, and log-log transformations of curved bivariate data using given data sets.https://education.ti.com/en/activity/detail/transforming-bivariate-data
Why t?
This lesson involves examining the variability of individual elements and their related standardized test statistics when those elements are drawn randomly from a given normally-distributed population.https://education.ti.com/en/activity/detail/why-t
Why np Min?
This lesson involves examining the general shape of binomial distributions for a variety of values of n and p.https://education.ti.com/en/activity/detail/why-np-min
Why Divide by n-1?
Students will investigate calculating a sample variance using both n and n-1 as the divisor for samples drawn with and without replacement.https://education.ti.com/en/activity/detail/why-divide-by-n1
What’s Normal, Anyway?
In this activity, students explore the normal distribution and several of its most interesting properties. First, they use a histogram of data from a binomial experiment to examine the general shape of a normal curve. Then, they use a dynamic illustration to make observations, using sliders to ch...https://education.ti.com/en/activity/detail/whats-normal-anyway
What’s My Model?
Students will investigate several different regression models and determine which of the models makes the most sense, based upon a real-world situation (cooling a cup of hot chocolate).https://education.ti.com/en/activity/detail/whats-my-model