NUMB3RS - Season 2 - "Double Down" - A Bit of Basic Blackjack
In "Double Down," three students are tied up in a money-laundering scheme involving money won in the card game blackjack. In this activity, we discuss a simplified version of blackjack and analyze the probability of winning in various situations. Because cards are drawn from the deck and not re...https://education.ti.com/en/activity/detail/numb3rs--season-2--double-down--a-bit-of-basic-blackjack
NUMB3RS - Season 3 - "Killer Chat" - Stylometry
In "Killer Chat," the FBI has obtained a collection of online chat dialogues from a suspected killer. Charlie proposes he use Statistical Linguistic Analysis to identify the author. The style and language can essentially fingerprint the writing. Stylometry, the practice of applying statistical an...https://education.ti.com/en/activity/detail/numb3rs--season-3--killer-chat--stylometry
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
Run me a Linear Regression
This activity is designed to give students the opportunity to estimate the least squares line given a set of points. The students are then able to check their "best fit" line by running a linear regression using the graphing calculator.https://education.ti.com/en/activity/detail/run-me-a-linear-regression
Run Me a Hypothesis Test
This activity is designed to give students' practice in determining which type of test to run given certain background information. Additionally, it provides practice towards understanding the meaning of rejecting or failing to reject a null hypothesis.https://education.ti.com/en/activity/detail/run-me-a-hypothesis-test
NUMB3RS - Season 3 - "Democracy" - No Desk Left Behind
In "Democracy", Charlie calculates the likelihood that five people who knew each other would have died by accident in a two-week period. He estimates that the odds of this are 700 million to 1. To estimate likelihood of an event, a simulation can be used. In this activity, students use a simulati...https://education.ti.com/en/activity/detail/numb3rs--season-3--democracy--no-desk-left-behind
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
NUMB3RS - Season 3 - "Contenders" - Dialing Ben
In "Contenders," David's friend, Ben Ellis, is a suspect of two murders. The FBI can not find Ben when he stops using his cell phone. Charlie explains that Ben may be using a friend's cell phone and might be identified by his unique calling pattern, so he compares the cell phone records of Ben an...https://education.ti.com/en/activity/detail/numb3rs--season-3--contenders--dialing-ben
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 - "Toxin" - How Hard Can It Be?
In "Toxin," the FBI tracks a serial poisoner who uses contaminated drugs. In this activity, the FBI intercepted an encrypted message they believe contains a phone number that could lead to an "insider" who may be helping the poisoner. Don suggests using a computer to start trying to break the cod...https://education.ti.com/en/activity/detail/numb3rs--season-2--toxin--how-hard-can-it-be
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
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
Interpreting Confidence Intervals
This activity is used in conjuntion with the famous M&M's experiment for introducing confidence intervals in AP Statistics. Navigator is used to allow each student to contribute the endpoints of a CI obtained from their own sample of M&M's. Quick polls are used to questions student confidence i...https://education.ti.com/en/activity/detail/interpreting-confidence-intervals