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
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
Hypothesis Testing: Means
Students test a claim about a mean with a large sample size using the test statistic and the critical value. They also find the area under the curve to find the p value. Then, students will see how the result would change if they used a one-percent significance level or smaller sample size. An op...https://education.ti.com/en/activity/detail/hypothesis-testing-means_1
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
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
Looking Normal
This lesson involves examining multiple samples taken from a single approximately normal population.https://education.ti.com/en/activity/detail/looking-normal
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
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
Tossing Dice
This lesson involves simulating tossing two fair dice, recording the sum of the faces, and creating a dotplot of the sums.https://education.ti.com/en/activity/detail/tossing-dice
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
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
Type 2 Error
This activity allows students to experiment with different alpha levels and alternative hypotheses to investigate the relationship among types of error and power.https://education.ti.com/en/activity/detail/type-2-error
Population Mean: σ unknown
Students calculate confidence intervals to estimate the true population mean when the standard deviation of the population is not known.https://education.ti.com/en/activity/detail/population-mean-σ-unknown
Normal Probability Plot
This lesson involves creating a normal probability plot for several data sets involving height to examine the appearance of such plots when the distribution is approximately normal.https://education.ti.com/en/activity/detail/normal-probability-plot