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
Car Sales
In this activity, students' will create a box and whisker plot using a list. The list will be sent using TI-Navigator™ and contains the number of car sales since 1970. They will determine the values in the box plot and answer some additional questions.https://education.ti.com/en/activity/detail/car-sales
Collecting Pens (Continued)
In this activity, students learn how to instruct the calculator to collect and organize the results from several trials of a simulation designed to find out how many boxes of cereals a customer would have to buy to collect all six color pens. Students enter a prewritten program, analyze the resul...https://education.ti.com/en/activity/detail/collecting-pens-continued
Describing One-Variable Data
Students sort data and display it graphically using various plots. They also get familiarized with statistical concepts like measures of spread and central tendency.https://education.ti.com/en/activity/detail/describing-onevariable-data
Collecting Pens
Students explore simulation strategies to solve real world problems involving probability and randomness. They use the Monte Carlo procedure to simulate the collecting of six different colored felt-tipped markers from boxes of Kellogg's cereals. They examine and analyze summary statistics and sta...https://education.ti.com/en/activity/detail/collecting-pens
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
Assessing Normalcy
Students use four criteria to determine if a data set is normal. They begin by looking at a histogram to determine if it is symmetric and bell-shaped.https://education.ti.com/en/activity/detail/assessing-normalcy
Describing Bivariate Data (Two Quantitative Variables)
Students explore the relationship between two quantitative variables in bivariate data using various x-y plots. They compare the relationships for several categories on the same plot. Students calculate the correlation coefficient to measure the strength and direction of the linear relationship t...https://education.ti.com/en/activity/detail/describing-bivariate-data-two-quantitative-variables
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
Density Curves
Students will be introduced to density curves as a simple analysis of a data set. They also will investigate where the median and mean lie on symmetric or skewed graphs.https://education.ti.com/en/activity/detail/density-curves
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
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.https://education.ti.com/en/activity/detail/is-it-rare
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
Intro 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/intro-to-the-central-limit-theorem
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
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
NUMB3RS - Season 2 - "Harvest" - Markov Chain Links
In "Harvest," Charlie is trying to identify possible destinations and unrecorded routes of an ambulance driver suspected of transporting stolen organs. Charlie tells Colby that they can use a Hidden Markov Model to help narrow down these possibilities.https://education.ti.com/en/activity/detail/numb3rs--season-2--harvest--markov-chain-links
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
NUMB3RS - Season 2 - "Double Down" - That's So Random
In "Double Down," three college students attempt to get an edge in a casino card game by analyzing the mechanical randomization process used to shuffle the cards. As Charlie explains, the auto-shuffler relies on an algorithm to deal the cards in random order. The students are able to crack the al...https://education.ti.com/en/activity/detail/numb3rs--season-2--double-down--thats-so-random
Binomial Simulation Lab - Using ProbSim App
Binomial simulation using TI-83+ or TI-84+ graphing calculators. Students will use the Probability Simulation application on the calculator to simulate Eric Gordon shooting free throws. TI-Navigator™ instructions are also included.https://education.ti.com/en/activity/detail/binomial-simulation-lab--using-probsim-app