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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

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.tns
https://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

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