Rectangle and Trapezoid Approximations to Definite Integrals
Use visual representation of area estimation methods in order to determine which is most accurate.https://education.ti.com/en/activity/detail/trapezoid-and-midpoint-rules
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
Difference in Means
This activity involves investigating whether a difference really seems to exist between two sample means.https://education.ti.com/en/activity/detail/difference-in-means
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
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
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
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
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
Trend or Noise?
This lesson involves investigating aspects of statistical information reported in the media or other venues, aspects that are often misunderstood by those unfamiliar with sampling.https://education.ti.com/en/activity/detail/trend-or-noise
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 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
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 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 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
Two-way Tables and Association
This lesson involves analyzing the results of a survey using a two-way frequency table.https://education.ti.com/en/activity/detail/twoway-tables-and-association
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
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