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
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
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
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
What Is Your Grade (Part 2)
In this activity, students use the CellSheet Application to determine the missing value in a weighted mean. They use the application to write a formula to find the weighted mean and also learn to use the copy and paste features.https://education.ti.com/en/activity/detail/what-is-your-grade-part-2
What! A Mistake!
Students learn about Type I and Type II errors. Then, for a given scenario, they calculate the probabilities of errors and the power of the test.https://education.ti.com/en/activity/detail/what-a-mistake
Using the TI-83/84 to Explore the Binomial Theorem
This lesson will introduce students to the binomial theorem through a variety of activities. Pascal's triangle and probabilities will be explored through problem solving. The binomial theorem, combinations formula, and the binomial probability function will also be explored. Students will dis...https://education.ti.com/en/activity/detail/using-the-ti8384-to-explore-the-binomial-theorem
The Graphing Calculator Connection: Problem Solving and Investigations
Over 30 reproducible, motivating investigations designed especially for middle school students to use with any TI Graphing Calculator model.https://education.ti.com/en/activity/detail/the-graphing-calculator-connection-problem-solving-and-investigations
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
Claims About Two Proportions
Students test claims about two proportions by calculating test statistics, critical values, and P-values, for both one-tailed and two-tailed tests.https://education.ti.com/en/activity/detail/claims-about-two-proportions_1
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
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
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
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
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
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 - "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
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