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
t Distributions
Students compare the t distribution to the standard normal distribution and use the invT command to find critical values for a t distribution.https://education.ti.com/en/activity/detail/t-distributions
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
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
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
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
Collecting Data
In this activity, students investigate how to use random numbers to collect samples and how to randomly assign subjects to experiments to collect data. They also use the CBL system to collect data in real time.https://education.ti.com/en/activity/detail/collecting-data
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 - "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
Finding the Maximum Product
In this activity, students use the CellSheet™ Application to organize data. They solve a problem of finding two positive integers equal to or greater than zero with a given sum and the maximum product.https://education.ti.com/en/activity/detail/finding-the-maximum-product
Math TODAY: Dangerous Births
Using the USA TODAY® Snapshot "Dangerous Births," students will explore the geometric relationships of triangles using perpendicular bisectors of the sides, bisectors of the angles and medians of the triangle. They will explore the three concurrent lines formed that pass through a single point. S...https://education.ti.com/en/activity/detail/math-today-dangerous-births