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
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
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
Some Nonparametric Tests
Students explore nonparametric tests for dependent and independent data samples.https://education.ti.com/en/activity/detail/some-nonparametric-tests
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
What is A Kanban?
In this activity, students use the CellSheet™ Application to understand how to track inventory and predict future trends based on average daily use. They will collect data, analyze it and make predictions. They also learn to use linear regression model to predict future trends.https://education.ti.com/en/activity/detail/what-is-a-kanban
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
Comparing Two Means
Students test hypotheses concerning means of two populations by calculating the test statistic and the critical values and graphing the critical region.https://education.ti.com/en/activity/detail/comparing-two-means
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
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
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
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
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
Isosceles Triangle
In this activity, students construct isosceles and equilateral triangles. They discover that if two sides of a triangle are congruent, then the angles opposite them are congruent. They understand that an equilateral triangle is also equiangular.https://education.ti.com/en/activity/detail/isosceles-triangle
Exploring the Circumcenter of a Triangle
In this activity, students develop an understanding of the circumcenter of a triangle. Students construct perpendicular bisectors of three sides of a triangle and find the circumcenter. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shape...https://education.ti.com/en/activity/detail/exploring-the-circumcenter-of-a-triangle
Exploring the Diameter and Circumference of a Circle
In this activity, students explore the relationship between a circles' circumference and its diameter which leads them to their own "discovery" of a value for pi. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematic...https://education.ti.com/en/activity/detail/exploring-the-diameter-and-circumference-of-a-circle
Extension: Parallel Lines and the Sum of the Angles
Students construct a line parallel to the base of a triangle and measure the angles formed. They use the construction to prove that the sum of the measures of the interior angles of a triangle is 180 degrees.https://education.ti.com/en/activity/detail/extension-parallel-lines-and-the-sum-of-the-angles
Exploring the Orthocenter of a Triangle
In this activity, students use the Cabri™ Jr. tools to draw altitudes in a triangle. They construct a line perpendicular to a given line and through a given point. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathemat...https://education.ti.com/en/activity/detail/exploring-the-orthocenter-of-a-triangle