Experimentally Calculating Pi
Because the diameter of a circle is related to the circumference of a circle, we can find this constant relationship by measuring several lids and fitting a regression line to the data. The slope of this line is pi. This is a great activity to allow students to discover that Pi is the relations...https://education.ti.com/en/activity/detail/experimentally-calculating-pi
Similar Triangles and Proportions
In this activity, students will investigate the relationship among the similar triangles formed when a segment is constructed parallel to one side of a triangle. They will explore the various ratios that exist between the lengths of the sides of similar triangles.https://education.ti.com/en/activity/detail/similar-triangles-and-proportions
Segments Formed by Intersecting Chords, Secants, and Tangents
This activity is designed to help students discover several important theorems concerning lengths of segments formed by intersecting chords, secants, and tangents.https://education.ti.com/en/activity/detail/segments-formed-by-intersecting-chords-secants-and-tangents
"Snail Mail" Postal Rate History
This is a listing of the First Class Postal Rates for students to create a scatter plot and appropriate model. It generates good discussion as to which data is appropriate which changes models from exponential to linear.https://education.ti.com/en/activity/detail/snail-mail-postal-rate-history
TI Using the Chi-Squared Significance Test
Students will apply the chi-squared test for independence to a data set of high school AP Statistics Exam scores. They will set up a two-way table and calculate the chi-squared test statistic by hand.https://education.ti.com/en/activity/detail/ti-using-the-chisquared-significance-test
What's Normal, Anyway?
Students explore normal distribution and several properties. First, simulate a binomial experiment and use a histogram of the data to examine the general shape of a normal curve. They graph a normal distribution given the mean and standard deviation. They see how the graph changes when just the m...https://education.ti.com/en/activity/detail/whats-normal-anyway_1
Means With Confidence
Students estimate the true mean of a population when the standard deviation is known by finding the sample mean, margin of error and confidence interval.https://education.ti.com/en/activity/detail/means-with-confidence
NUMB3RS - Season 3 - "Contenders" - Choosing Contenders
In "Contenders," the FBI asks Charlie and Amita to look at official league rankings of each fighter and compare them with their own 'rankings,' created using the skill levels and past performances of each fighter. They find that one fighter has had an easy path to the championship because this fi...https://education.ti.com/en/activity/detail/numb3rs--season-3--contenders--choosing-contenders
NUMB3RS - Season 2 - "The Running Man" - The Eyes Have It
The FBI is investigating a robbery at the research facility of a large company. The FBI believes that the robbers were employees of the company, because they were able to bypass the iris recognition security scan and gain entrance. However, a security camera was able to capture a partial image of...https://education.ti.com/en/activity/detail/numb3rs--season-2--the-running-man--the-eyes-have-it
Testing Goodness-of-Fit and Two-Way Table Chi-Square
Students perform chi-square tests to see if data follows a hypothesized distribution. They also study the two-way table analysis.https://education.ti.com/en/activity/detail/testing-goodnessoffit-and-twoway-table-chisquare
NUMB3RS - Season 2 - "The O.G." - Is It Really Rare?
Suppose that historically, a shooting has occurred in Los Angeles an average of once every 6 hours. Suppose that Charlie is interested in the probability of 2 shootings occurring in a given 24-hour period. He could use a Poisson distribution to find that probability.https://education.ti.com/en/activity/detail/numb3rs--season-2--the-o-g---is-it-really-rare
NUMB3RS - Season 2 - "Soft Target" - Are You Sure?
In "Soft Target," Charlie uses Linear Discriminant Analysis (LDA), a multiple regression method, to predict the next terrorist attack. This method, like many others used to predict events, may use a tree diagram to visualize possibilities. The use of tree diagrams is seen in probability.https://education.ti.com/en/activity/detail/numb3rs--season-2--soft-target--are-you-sure
Chi-Squared Tests
In this activity, students will look at a problem situation that involves categorical data and will determine which is the appropriate chi-square test to use: the chi-squared goodness of fit or the chi-squared two-way test.https://education.ti.com/en/activity/detail/chisquare-distributions
Square it Up!
Students investigate the method of least squares by finding the residuals and the sum of the squares of the residuals.https://education.ti.com/en/activity/detail/square-it-up_1
NUMB3RS - Season 2 - "Rampage" - I...It...Itera...Iteration
In "Rampage," a suspect enters the FBI Bullpen and moves about, apparently shooting people at random. Charlie examines a diagram of the killer's path through the Bullpen and suggests it might resemble Brownian motion. In this activity, students first model this motion with ten iterations by hand...https://education.ti.com/en/activity/detail/numb3rs--season-2--rampage--i---it---itera---iteration
Describing Categorical Data
Students analyze the distribution of categorical data. They calculate percents and visually compare the data sets with a bar chart.https://education.ti.com/en/activity/detail/describing-categorical-data
NUMB3RS - Season 2 - "Mind Games" - Walkabout
In "Mind Games," Charlie uses the Fokker-Planck equation to predict the movement of illegal immigrants. The equation is used to predict the likely movement of something under the influence of external forces. It was originally developed to study Brownian motion, the apparently random movement of ...https://education.ti.com/en/activity/detail/numb3rs--season-2--mind-games--walkabout
Assessing Approximate Normality in AP Statistics
In this activity, students are sent 5 lists of data to study. The groups must use previously-discussed strategies for determining if each set could have reasonably come from a normal distribution.https://education.ti.com/en/activity/detail/assessing-approximate-normality-in-ap-statistics
Demonstrating Probability, Simulations, and Probability Distributions
This activity demonstrates the probability of an event happening with the simulation of a coin toss. Students will learn how probabilities can be computed. They will simulate distributions to check the reasonableness of the results. They also explore various probability distributions.https://education.ti.com/en/activity/detail/demonstrating-probability-simulations-and-probability-distributions
NUMB3RS - Season 2 - "Mind Games" - Thumbs Up!
In "Mind Games," the FBI hires a psychic to help them solve a series of murders. To test how good he is, they show him the backs of a set of 25 playing cards and ask him to predict whether each is red or black. He gets every single one wrong. In this activity, students conduct an experiment and ...https://education.ti.com/en/activity/detail/numb3rs--season-2--mind-games--thumbs-up
Candy Pieces
Students use a chi-square test for goodness-of-fit to determine if there is a significant difference between the proportions they find in the sample, and the proportions they would expect if the manufacturer produced equal proportions of each color.https://education.ti.com/en/activity/detail/candy-pieces
Difference Between Two Proportions
Students use confidence intervals to estimate the difference of two population proportions.https://education.ti.com/en/activity/detail/difference-between-two-proportions
NUMB3RS - Season 2 - "Mind Games" - Right or Wrong
In "Mind Games," a psychic shocks Charlie by incorrectly guessing the color (black or red) of 25 cards in a row. As Larry says, "the probability of getting them all wrong is the same as getting them all right." This activity applies the binomial theorem to the probability of correctly guessing a ...https://education.ti.com/en/activity/detail/numb3rs--season-2--mind-games--right-or-wrong
NUMB3RS - Season 2 - "Judgement Call" - Filtering Suspects
In "Judgement Call,"Charlie helps the FBI sort through their case files for relevant suspects. He applies a logical filter to find the files most relevant to a specific crime. This activity explores Bayesian Filtering and exposes students to how math can be seen in the world around them.https://education.ti.com/en/activity/detail/numb3rs--season-2--judgement-call--filtering-suspects
A Simulation
In this activity, students use the CellSheet™ Application to simulate a probability event. This activity simulates an experiment performing a survey. Students can see that the results of a random survey can vary widely if a small sample size is used.https://education.ti.com/en/activity/detail/a-simulation